diff --git "a/data/dm_maths/full_data_1/10983_11255.jsonl" "b/data/dm_maths/full_data_1/10983_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10983_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -5*x + 7 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -11 + -3 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -12*z. Let b(x) = -2*x**2 - 7. Calculate b(l(h)).\nAnswer: -288*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 18*n - 54 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 9, -9, -49, -117, -219, -361, -549?\n\"Answer: -g**3 - 2*g**2 + 11*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127734045 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 60 = 4*a. Let u(c) = -3*c + 1. Let i be u(-6). Suppose -5*p + a = 3*j, -2*p + 3 - i = -4*j. Solve -r + 25 = j*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 4*v + 2*v)*(-2*v - 4*v + 2*v)*(-6 + 2 + 0)*(4*v**2 - 3*v**2 - 2*v**2).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0422 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/(20\/((-16)\/(-4)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wax when three letters picked without replacement from woaooosx?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 649 = u - 2611, -6*n = -4*u - 9780. What is the least common multiple of n and 326?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t - 19*t - 8*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5497275 and 10.\nAnswer: 10994550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 124120?\nAnswer: -124123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 448, 8.\nAnswer: 1, 8, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -57, -216, -465, -804?\n\"Answer: -45*q**2 - 24*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -68*g + 602. Let u be f(9). Sort 9, u, -1.\nAnswer: u, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t**5\/11 - 98070*t**4\/11 + 11799346*t**3 + 10385230630*t**2\/11 + 6880208288*t\/11 + 1144296600\/11 = 0.\nAnswer: -75, -1\/3, 2762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -935, -2330, -3725, -5120, -6515?\nAnswer: -7910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.54 - 0.54. What is the nearest to 0.1 in 2\/9, 12.5, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -33*n - 6. Let b(h) = -47*h + 2. Let a be b(-1). Let p = a - 55. Let c be s(p). What is the highest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 190 + -953\/5. Let x be 9\/2*(-28)\/(-21). Let i be (1\/5)\/(6\/(-15)). Which is the smallest value? (a) i (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24552006 (base 7) to base 16\nAnswer: -21ca0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.4 (c) 1\/8 (d) -0.1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4134 (b) -3 (c) 2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -126, -172, -202, -210, -190, -136, -42?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -37. Suppose -10*s = -n*s - 12. Let l(o) = s*o - 8*o + 7*o. Let t(z) = -52*z. Calculate t(l(x)).\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11920 and 5120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 8:29 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 7*n + 1. Calculate the remainder when 25 is divided by r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2438*t**3 + 4937*t**3 - 2496*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r\/(r*r**1*r))*r\/(r\/r**6))**30 assuming r is positive.\nAnswer: r**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33836 is divided by 2110.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9759319 divided by -17?\nAnswer: -9759319\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - -2*sqrt(143)*6)\/((-1*sqrt(99))\/sqrt(9) - sqrt(11)) + 4*-1*sqrt(1300)*5.\nAnswer: -413*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5473 to two decimal places.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2511659*c - 2. Let a(d) = 3*d**2. What is p(a(l))?\nAnswer: 7534977*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 4*f + 2 + (-72*f + 135*f - 77*f)*(1 + 4 - 3).\nAnswer: -32*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -7085*l**3 - 20510*l**2 + 31320*l = 0.\nAnswer: -4, 0, 1566\/1417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 30*m**3 - 18*m**2. Suppose 0 = -4*j + v + 9, v = j + j - 7. Let k(u) = -u**3 + u**2. Give j*d(w) + 18*k(w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -209 + 2*a**2 + 24*a - 245 + 364.\nAnswer: 2*(a - 3)*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -0.3 (c) 0.0135 (d) -2 (e) 3 (f) -119 (g) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z - 10. Let o be i(-4). Let b = 19 - o. Sort -1\/4, -1\/6, b.\nAnswer: -1\/4, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - t + 5, -4*t = 4*a - 2 - 2. Suppose -2*i + 3*i - 3*j = -7, a*i + 5*j - 23 = 0. Let o = -2 + -1. Put -10, o, i in decreasing order.\nAnswer: i, o, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -339441?\nAnswer: -33943b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15509927 is divided by 304116.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9038*b = -8669*b - 7011 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 1 + 8. Suppose -4*j = -k*j. Let q = -882 + 882.5. Which is the third smallest value? (a) 0.3 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 384 = 18*b - 20*b for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-20))\/((-6)\/20). Suppose 0 = -2*x + a*x. Suppose -17 = -2*r - 3*v, 4*r = -x*r + 3*v - 11. Solve 7 = 5*l - 4*d + 6*d, -5*l - 4*d - r = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -402 + 401. Let s(d) = -21*d**2 + 3*d + 4. Let y(c) = 61*c**2 - 8*c - 11. Let n(q) = 11*s(q) + 4*y(q). What is n(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3\/5, -2\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1213 divide 3632935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167808*m**3 + 31535?\nAnswer: 503424*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 0, 125, -3\/7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6*s - s = -1, -5*p + 5*s = 5. Let o = 4 + p. Solve o*l = t + 3, 0 = -t - 2*l - 3 + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -23*h**3 - 10*h**2 + 24*h - 68. Does 11 divide v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -1) + -1 + 1. Suppose j*i - 36 = -i. Suppose -3*d + 10 = -d. Solve -d*c + 2*c + i = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 174, 1580, 3924, 7206, 11426, 16584, 22680?\n\"Answer: 469*x**2 - x - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 6) in base 9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 711348535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-1 + -1 - -2*sqrt(1100).\nAnswer: -1 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.7 - 28.7. What is the second smallest value in -5, y, -1\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p + 3\/2 + 1\/6*p**2 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1099 + 2238 - 1064)*(-3*j**2 + j + j + j**2)*(4*j**3 + 4*j - 4*j).\nAnswer: -600*j**5 + 600*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**4 - 7032*q**3 - 4245192*q**2 - 145625568*q - 1038738480 = 0?\nAnswer: -1154, -26, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-3) - 3)*-2. Suppose -36 = 5*c + i. Let m = 0 - c. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 844757.1 years?\nAnswer: 10137085.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0454, 7, -3, -1, 1122 in increasing order.\nAnswer: -3, -1, 0.0454, 7, 1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:31 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -51. Suppose 3*r + 4*n - 271 = 0, i*n + 196 = 2*r - 5*n. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1. Let d(g) be the first derivative of -g**2 - 6*g - 5. What is -d(t) - 4*m(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10\/18)\/(-1)*6\/4\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**2 + 7*o**2 - 12*o**2 + o.\nAnswer: -16*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5 = 3. Let b(k) = -2*k**2 + 3*k + 3*k**2 - 1 - 2*k**v. Let x(g) = 2*g - 1. Suppose 3 = 194*o - 193*o. Give o*x(y) - 2*b(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 + 7643*f**4 - 13*f + 526?\nAnswer: 20*f**3 + 91716*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and -1347?\nAnswer: 1347.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362894*q - 2598*q**3 + 9125*q**3 + 362896*q.\nAnswer: 6527*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.1022 (c) 0.5 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8430 - 8418. Solve 2*r - 10*p - 4 = -s*p, p - 11 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62553, 128, 0.\nAnswer: 0, 128, 62553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212\/3 - 71. Let z = 0.2 + -0.2. Let k = 0.1 + z. Which is the third smallest value? (a) k (b) j (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27, 0.7, 283, 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)\/(sqrt(12) - sqrt(12)*-2))\/sqrt(4).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**3 - 5*i - 4. Let l(o) = -o**3 + 2*o**2 + o + 1. Let m be l(3). Let w(a) = 49*a**2 - 49*a**2 + 6*a**3 - 5 - 6*a. Determine m*f(h) + 4*w(h).\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from zkeqzqqeekeozeezzez.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**3 - 2 + 12*k - 10*k + 5*k**3 - k**4 to the form c + r*k + o*k**4 + z*k**2 + s*k**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 79. Let f = 52 - z. Suppose 3*x - 13718218 = 3*g - 3218230, f = 5*g + 4*x + 17500016. Round g to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w**2 + 339185. Let i(t) = -7*t. Determine h(i(k)).\nAnswer: 441*k**2 + 339185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54, 133, 212, 291, 370, 449?\n\"Answer: 79*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -24, -39, -46?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 6*x + 58. Let c be r(-19). Let n = -258 + c. Calculate the remainder when 137 is divided by n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/709? (a) 0 (b) 218\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from {j: 2, q: 7, a: 1, d: 9}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(304) + sqrt(190)\/sqrt(160) + 3)*-1.\nAnswer: -33*sqrt(19)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000010101000000 - -111?\nAnswer: 1001000010101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. List the prime factors of 13 + c + 0 - 1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338340 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084307400.\nAnswer: 2, 3, 5, 11, 23, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 11:18 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022112012121011 (base 3) in base 6?\nAnswer: 1512355434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -31646?\nAnswer: -31650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*o**2 - 98086 + 98086.\nAnswer: -85*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and 354.922?\nAnswer: -10647.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**5 - 36*y**4 + 92*y**3 + 36*y**2 - 88*y = 0.\nAnswer: -11, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffjj when four letters picked without replacement from jfffjffffjfffffjffff?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 79*d - 6. Let f(l) = 16*l - 1. Give 11*f(o) - 2*x(o).\nAnswer: 18*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 13. Suppose -x*f + 3*s + 52 = -22, -3*s - 148 = -4*f. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 0.6 (c) -4 (d) -42.3 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716 = -5*i + 299. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 83. Suppose 605 = h*r - 915. What are the prime factors of r?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -2.579\nAnswer: 0.5158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10755 divided by -2?\nAnswer: -10755\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 - -124. Let o = -12 + 7. Sort -2\/9, z, 1\/5, o in ascending order.\nAnswer: o, z, -2\/9, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -71*u**5 - 4*u**4 + 4*u**3 + 2*u**2 - 26*u. Let i(s) = -s**4 + s**3 - s. Let h(z) = 4*i(z) - r(z). Find the third derivative of h(x) wrt x.\nAnswer: 4260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95) + sqrt(95) + sqrt(95) + 4*(sqrt(95) - (2*sqrt(95) + sqrt(95) + sqrt(95) - sqrt(95))))\/(sqrt(30)\/sqrt(96) - sqrt(5)))**2 + -1.\nAnswer: 4855\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**3 - 2*i**2 - 4*i + 5. Let n be 171\/33 + -3 + 4\/(-22). Let k be r(n). What is the second derivative of -6*h**2 + 26*h - 10*h + k*h**2 wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -294*j - 95259. Determine k(-324).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 484?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 12*j**2 + 1. Let u be i(-12). Let x = 341.5 - 341. Which is the smallest value? (a) u (b) -3 (c) x (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**7\/1575 + 3*j**6\/100 - 13*j**5\/225 - 500*j**2. Factor m(b).\nAnswer: -2*b**2*(b - 26)*(b - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = 2*z - 3*j, 2*j - 8 = 0. Let d be (z - 3)*5*1. Let r(s) = 2*s + s**2 + 2 - s + 5*s. Calculate r(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11549094 divided by 6.\nAnswer: -1924849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20013 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -2, -5, -1, -870, 2.\nAnswer: -870, -92, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -226*u - 370*u - 4172 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, a: 10}. What is prob of picking 1 d and 1 a?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from vppfpffffptvpddfp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6 + 308*t + 5 - 6 - 20. Is b(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f*i**3 - 62*f + 4*i**3 + i**2 wrt i?\nAnswer: -18*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-105))\/(((-2584)\/(-228))\/(-17)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4377456*t**6 - 227771*t**2 - 2*t - 1?\nAnswer: 525294720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:03 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 - (-81 - (-21 + -59)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, -2, 59\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/730 and -91\/483114?\nAnswer: 2415570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4926294 is divided by 120?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -50787 divided by -1456?\nAnswer: 50787\/1456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39725407\/266 - -149344. Calculate the common denominator of -179\/30 and c.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, i: 6}. Give prob of picking 3 e.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107334951?\nAnswer: 3, 23, 1555579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 4*o. Let n be g(-4). Which is smaller: 4\/15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 7. Calculate c(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1612 = -4*a + 4*s, 5*s + 182 = -a + 591. Suppose a = -3*c + 7*c. What are the prime factors of c?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*s = 75, c = 3*c - 4*s - 42. Let m(q) be the third derivative of -c*q**2 + 0 + 3\/4*q**4 - 10\/3*q**3 + 0*q. Differentiate m(i) wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5704 and 1589944?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 82. Suppose -18 = 7*r - x*r. Calculate the least common multiple of 15 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -0.0351\nAnswer: 0.002106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 20*f**2 + 43*f + 20. Give y(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 4. Suppose -g - 27 = 4*r, r + 10 = 4*g - m. Let a be 77 + -1 + (-3 - r). What is a rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*g + 308 = 998 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -96724.91 to the nearest one thousand.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 5267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001101100101100 - -10110?\nAnswer: -1101001101100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 15 = 0. Put z, -1, 2 in decreasing order.\nAnswer: z, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*z**3 + 3*c**2*z**2 - 483*c**2 + 4*c*z**2 - 3*c*z - 20654895*z**3 + 130*z + 2 wrt z?\nAnswer: 6*c**2 - 123929370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12409\/15 + -827. Let w = 3 - 4. Which is greater: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 15. Let u(r) = -r**2 + 2*r + 1. Let h be u(3). Let j = h + a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (197 - 26)\/(2\/6).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -1)*3\/(-6). Let x be -8*((-15)\/20 + b). Suppose 0*j + x*j = 12. Solve -j*y + 7 = 3*l, -l + 5*y - 4*y + 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14233*f + f**2 + 6748*f + 8651*f. Let k(l) = -2*l. Calculate y(k(r)).\nAnswer: 4*r**2 - 2332*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 2*v - 2. Let h(u) = 2*u**2 + 3*u - 3. Suppose -3*k - 7 - 17 = 5*r, 9 = 2*r - 5*k. Give r*x(c) + 2*h(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -198, 0, -55, 1, -1?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 857055649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 423 - 425. Which is the nearest to 1\/3? (a) g (b) 0.4 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*y + 227*y + 132 = 97*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.1 (b) -0.9 (c) -7 (d) -27\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 999, 3415, 8095, 15789, 27247, 43219, 64455?\nAnswer: 91705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.06246 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-2808)\/264)\/(2\/(-11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d**2 + d - 1. Let w be f(0). Let v(m) = 3*m**2 + m. Let t be v(w). Suppose 0 = 2*l + t*l - 20. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*i - 40*i - 26. Let j = -13 - i. Solve -3*r + j*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -454, -679, -904, -1129?\nAnswer: -1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -28. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2819*r - 5678*r + 2841*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2439 + 859 = -79*f. Calculate the lowest common multiple of 6 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 7. Let y be (11\/(-2))\/((-5)\/10). Let d be q(y). Let v(c) be the first derivative of -c**4\/4 - 5*c**3\/3 - c**2\/2 + 2*c + 14. Calculate v(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -58.\nAnswer: 9\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 8. Let x be 0 - 1\/((-2)\/n). Suppose s + x - 18 = 0. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 1597*n**2\/2 + 159600*n - 159201\/2.\nAnswer: (n - 399)**2*(2*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-5))\/(2\/(-20)). Suppose 229 = m*p - 113. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 9:26 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.13 + 0.37. Let l = b - 42.5. Let z = l + 36. Sort 3, -0.5, 10, z in decreasing order.\nAnswer: 10, 3, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106 or 105?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 6:07 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.4. Let u = -6 + 2. Let g = u + 4.2. Which is the second smallest value? (a) q (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-37)\/((-111)\/10)*6\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + 4) - (2 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m + 74 - 74. Let k be d(-1). Let h be (46\/15 + -3)*k. Is 2 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128.8 + 117. Let q = 12.8 + r. Suppose 4*m + 6 = -6. What is the closest to 0.01 in m, 2\/7, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/94 - 161\/846. Let p = 106 + -105. Let t be p - (-5 - (-16)\/4). What is the biggest value in -3, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, i: 3}. Give prob of sequence tit.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 p, and 1 n when four letters picked without replacement from {n: 4, k: 6, p: 3, a: 4, c: 3}.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*k - 4371 = -26*k + 44*k for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67.2 + 67. What is the closest to 0 in 2\/5, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2132 (base 5) to base 13.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = u - 6, 3*x + 9 = -u + 15. Which is smaller: -8\/2661 or x?\nAnswer: -8\/2661","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -13*u + 42. Let b(g) be the first derivative of 0*g - 6 + 0*g**u + 2\/3*g**3. Let j(l) = 4*l**2. Determine j(b(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2050 + 2050.00000829. What is v rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11548783.\nAnswer: 23, 502121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0)**(-36)\/(z\/((z**(-2\/5)\/z*z)\/z))**19*((z**(-3\/5)\/z)\/z**(1\/5))**(-35) assuming z is positive.\nAnswer: z**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275237060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 144491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (4 + -3 - -46). Let r = a + -50. Which is bigger: r or 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72290 divided by -414.\nAnswer: 36145\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 3. Let q(j) = -4*j + 13. Let l be 1 + 21 - (-29 + 25). Let r(a) = l*f(a) + 6*q(a). Let p(i) = 6*i**2. Calculate r(p(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 658543481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72 - 21 - 27)*(4*k - 6*k + 3*k)*(1 - 3 + 1)*(-5*k + 2*k + 2*k) to the form y*k + o*k**2 + r and give o.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = -0*d. Suppose r - 5 = -d. Let m be 16\/6 - 2\/(-6). What is the greatest common divisor of m and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + (12 - 6 - 11 - -1651).\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0)\/((-280)\/(-84)) + ((-3096)\/90 - -22)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 52. What is the highest common divisor of f and 200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**3 - 6*q**2 + 1. Let l(f) = f**3 - f**2. Let d = -5311 - -5317. Determine d*l(n) - a(n).\nAnswer: n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 1 = 2*u - 11, -q = u + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(325) - 6*-3*sqrt(325)) + 1 + sqrt(325) + sqrt(325) + sqrt(325) + sqrt(325) + -5)**2.\nAnswer: -1610*sqrt(13) + 171974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 - -18. What is the smallest common multiple of (z\/(-4))\/(12\/16) and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) -1\/3 (b) -1\/8 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 0, 5, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 882783 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-24)\/(-40)))\/((-80)\/(-3744))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 0, -3*w - t - 9 = 3*t. Let v be 2 - (-4 - (w + 0)). Solve -v*z = n + 20, 5*z + 3*n + 45 = -n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 8:04 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -g. Suppose 0 = -g*x + x + 16. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13, -1\/2, 0.3, 3\/14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088428 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434\/(-310) + 4\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 208 + 448 - 12*d**2 - 238.\nAnswer: -16*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4\/4 - w**3\/3 - w**2\/2 - w - 13. Suppose g + 22 = 5*q, -q = -5*g + 2*q - 22. Give n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6524.8274 - -1.1726. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 774251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 784.5 + -785. What is the second smallest value in -1\/3, g, 1\/2, 14\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -242.934 and 0.36?\nAnswer: -87.45624","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1542\/11 - (-6)\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = -5. Suppose -27 = t - 5*m - y, 0 = -5*t - 5*m + 40. Suppose -l = t*l + 20, 3*l = -n - 6. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 + 220. Suppose -39 = i - u. Suppose 4*w = -4*g + w + 104, -w + i = 4*g. Calculate the remainder when 68 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.4073t to kilograms.\nAnswer: 65407.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015987451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-118)\/(-44) + (-2)\/11.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Suppose 0 = f*r - 5*r + 10. Differentiate 7 - 3*t - 3*t - r*t - 17 with respect to t.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212 + 296.8. Let g = 3.4 + j. What is g rounded to 0 decimal places?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -411 + 424. Suppose 3*f = -4*y + 2, -3*y + x*f = 17*f + 2. Which is greater: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1129393\/99288 + -1\/12411. Calculate the common denominator of p and 115\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221222002121 (base 3) to base 4.\nAnswer: 3332201230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.056 (c) 42 (d) 0.16 (e) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4102, 1, -6, 5, -9, -5 in decreasing order.\nAnswer: 4102, 5, 1, -5, -6, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244531 + -2022?\nAnswer: -250553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 19*v**2 - 3 + 6*v - 16*v**2 - v**3 - 3. Let h be s(4). Factor 1\/2*c**3 - 3\/2*c**h + 3\/2*c - 1\/2.\nAnswer: (c - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3 = x - 3*d, -5*x = -4*d + 18. Let f be 8\/12 + x\/(-3). Find q, given that -q**3 - 4\/3 - 1\/3*q**2 + f*q = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 79*f = -499647. What are the prime factors of f?\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1210111010 (base 3) to base 5\nAnswer: -2112341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294 + 383 + (-1 - 1 - -10).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 135, 229, 323, 417, 511, 605?\n\"Answer: 94*u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 409, -0.3, 0 in descending order.\nAnswer: 409, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18360, 18354, 18340, 18318, 18288, 18250?\nAnswer: 18204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 8\/13 (b) -4\/3 (c) -11 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b. Let q(w) = 6*w**2 + 3*w**2 - 4*w**2 - 3*w**2. Determine d(q(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45162744 a multiple of 986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*c + 1. Suppose -5*i - 22 + c = 0. Let p be (6\/(-10))\/(4\/(-20)). Put p, i, 1 in decreasing order.\nAnswer: p, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 11*n - 16*n - 41, -32 = -f + 2*n. Let r(i) = 3*i - 1. Let s be r(7). Let p = s + -14. What is the remainder when f is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*29212.\nAnswer: 146060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 480.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + q**2 + q - 1. Let g(f) = f**4 + 10*f**3 + 8*f**2 + 8*f - 9. Let x(l) = 2*g(l) - 18*j(l). Let x(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((0 - 5) + (-7 - (-9 - 2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 10 = k. Suppose -8*j - 15 = -k*j. Solve -n - 10 = -j*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 39830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 10*d**2 - 10*d + 13. Let z be n(9). Let w = 0.0315 + 2.5885. Let l = 2.69 - w. Sort 0.4, l, -2, z in ascending order.\nAnswer: -2, l, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20198874 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/352 and -67\/390.\nAnswer: 68640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.06, 1\/5, -3, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46302*i + 6592 = -46096*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1503390 = 93*u - 51*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 15 = -183. Suppose 3*k = 4*t + 147, -4*t + 153 = 3*k - 6*t. Let x = v - k. Let j(f) = -f + 1. What is j(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 + -5 + -6) - (158 - 73).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6.86. Let r = -0.28 + 0.15. Let u = s + r. Round u to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*1*(1875\/12500)\/((-6)\/380)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 704\/132 + 8\/(-6). Let j = -8 - -10. Is (0\/c)\/2 - (-4109 - j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1045 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-135)*(-5 - (-2)\/1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-40)\/224*9\/((-45)\/80)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + sqrt(175) + 2 - (sqrt(175) + (-5*2*sqrt(175) - sqrt(175)) + sqrt(175) + sqrt(175)) - (1*sqrt(175)*1 + (1 + sqrt(175))*5)) + 4)**2.\nAnswer: 240*sqrt(7) + 1639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/4 - p**4\/3 - 2*p**3\/3 - 2*p**2 + 4*p. Let k(z) = -11*z**3 - 9*z**2 - 9*z - 9. Give 4*k(r) - 9*q(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 109. Let c(d) be the third derivative of d**5\/20 - 2*d**3\/3 - 18*d**2. Let h be c(3). What is the highest common divisor of h and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*j + 39, 7*a - 3*a = j + 128. Suppose 5*z + 2*b - a = -0*b, z = -b + 8. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2467 divided by 4.\nAnswer: -2467\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/3 or 106?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j - 3. Let l(a) = -2*a**3 + 30*a**2 + 10*a - 1. Let h be l(15). Let q = 155 - h. Let o(z) = 4*z + 2. Calculate q*o(y) + 5*v(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**3\/3 - 2*d**2 - 6*d - 8727. Let j(l) = -2*l**2 - 5*l - 7. Determine -6*j(w) + 7*z(w).\nAnswer: 5*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 9 + -23 - (8 - -22)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 plus -3955.568792?\nAnswer: -3000.568792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -79. Find the second derivative of 17*k**2 - 6*k + 4*k + 24*k - x*k**3 wrt k.\nAnswer: -12*k + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2)*52\/(-6). Suppose 5*b = b + 84. Let f = b - m. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 - 5*r**3 - 5*r + 4*r - r in the form l*r + w + a*r**3 + p*r**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14805 divided by -9?\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 17*j + 3. Let k be g(-6). Which is greater: k or 52\/5?\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**4\/12 + 4*j**3\/3 - 7*j**2. Let q be b(-4). Solve q - 8\/5*v**2 + 2\/5*v**3 + 8\/5*v = 0 for v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 7*g - 6. Let q be s(13). Suppose -5*z - q = -9*z. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48.989*0.165\nAnswer: -8.083185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - -2. Let l = -1\/7082 - 14149\/106230. Sort x, l, 2, -2\/11 in increasing order.\nAnswer: -2\/11, l, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -832785564*r*y**3 - 304661536*r*y**2 wrt y?\nAnswer: -4996713384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 415.865811 to two decimal places.\nAnswer: 415.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - -4. Let p be t\/20*(-1 - 1). Let u = 4.17 - 2.17. Which is the second smallest value? (a) p (b) -2\/5 (c) u (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 13. Sort c, 4, -0.1, 3.\nAnswer: c, -0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 19 = -5*i + 3*y, 5*i - y = -19. Let c(k) = -2*k**3 - k. Let d be c(-1). Let w be 4\/6*d\/i. Is w bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228 - 512 + 263 - f + 12*f**2 + 41*f**2 to the form u*f**2 + y*f + z and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -55 - -6 - -43 - (1 + -4 - 40)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 0\/(6 + -3). Solve o + h + 4 = 0, s*o + 11 = 4*h - 0*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 2b71?\nAnswer: -2b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, h: 2, q: 2, w: 5}. What is prob of sequence ccc?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/v**(1\/6))\/(v*v**(-2\/5))**33 assuming v is positive.\nAnswer: v**(-389\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 58. Let i = -10 - p. Let w = 18 - i. Which is the third biggest value? (a) -3 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -1307?\nAnswer: -56\/1307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xddlxddxxxlxxxdxd. What is prob of sequence ld?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q - 6. Let g(x) = x**3 + 3*x**2 - 2*x + 3. Let y be g(q). Suppose 9 + y = 2*j. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/11 (b) 4 (c) 2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from bbyblmbbb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 17673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56263 is divided by 7806?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let d(g) = 4819*g**2 - 43712. Determine f(d(i)).\nAnswer: 4819*i**2 - 43712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2)*(-2 - 0). Let j be (h\/50)\/((-2)\/(-30)). Factor -3\/5*o**5 + 3*o**4 - 27\/5*o**3 - j*o + 0 + 21\/5*o**2.\nAnswer: -3*o*(o - 2)*(o - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + 2*sqrt(612))**2 + -3 + sqrt(612) + -3.\nAnswer: 30*sqrt(17) + 2438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**25)**49 assuming u is positive.\nAnswer: u**1274","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 280993469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*k - 8, -k = -3*i - 3133 + 3125 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0*p**3 + 26*p - 1\/4*p**5 + 0 - 5\/4*p**4 + 10*p**2. Factor g(y).\nAnswer: -5*(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*f**2 - 19*f**2 + 3*f**3 + 2*f**3 - f**3 + f**3 + (-f**2 - 4*f + 4*f)*(-3 - 2*f + 3) - f**3 + 3*f**3 + 0*f**3 + 7*f**3 - 3*f**3 - 2*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39125953 to the power of 1\/2, to the nearest integer?\nAnswer: 6255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 35*v + 65. Determine y(-29).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 7*y**2 - 7*y - 10. Let d = -16 - -9. Let g be c(d). Suppose g = 3*t - 9. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13878, -27705, -41522, -55323, -69102, -82853?\nAnswer: -96570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18739?\nAnswer: 7, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 + 4\/8*-10. Let b be 3 - ((-36)\/f)\/3*10. What is the derivative of 3 - b - 30*u - 17 wrt u?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 16*d**6\/5 + 125*d**4\/4 - 255*d. Find the third derivative of y(o) wrt o.\nAnswer: 2304*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - 4*m)*((1 - 1 + m)*(3*m + 3*m - 4*m) + (49 - 49 - 3*m)*(m + m - 3*m) + 3*m**2 - m**2 - m**2 + 8*m**2 - 3*m + 0*m - 4*m**2).\nAnswer: -10*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24548151.\nAnswer: 3, 101, 81017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 + 4*g**2 - 6*g + 2. Let k(z) be the first derivative of -z**3\/3 + z**2\/2 - z - 592. Give 4*k(y) + m(y).\nAnswer: 3*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 358 = -14*z, -26*b - 24*b - 27*b - 2*z = -73*b + 34 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1050\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) 2\/7 (c) 5 (d) 4 (e) 0.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 515 - 440. Let s = 384 + -364. Calculate the smallest common multiple of s and v.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9. Suppose u + l - h = 0, 2*u + 3*u = l + 16. Let i(j) = -3*j - 2*j**2 - 3 + 6*j**2 - 2*j**2. Determine i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210 - -358. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 13184*t**2 + 13137*t**2 - 4*t - 2*t + 6*t.\nAnswer: -47*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**8\/5880 + k**7\/2940 - k**6\/315 - k**5\/105 - 11*k**3\/3 + 6. Let g(c) be the third derivative of l(c). Factor g(h).\nAnswer: 2*h*(h - 2)*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007572 to 7 dps.\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22761*k - 57 = -22764*k - 3*o, -3*k + 37 = -2*o for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*u + 1 = -o, -2*u + 10 = 2*o. Suppose -o*q = 4*g - 6, -q - q - 3*g = -3. Solve p + 0*p + 5*i - 18 = 0, -5*p + q = -3*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486787?\nAnswer: 7, 197, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2156 + 63*c - 4309 + 2153.\nAnswer: 63*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34)\/(-10) + -3)*-10. What is the nearest to q in 2, -1, 0.5, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a factor of 352641684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.1491085\nAnswer: -0.004473255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 - i + 1. Let h be j(1). Suppose 0 = h*x + 27 + 8. Let f = x - -5. Let o(a) = -a**2 + 2*a + 3. What is o(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + r + 5. Let v be n(0). Suppose 10 = 3*a - v*q - 53, -29 = -a - q. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/105666 and 107\/198.\nAnswer: 316998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -31. Suppose 16 = -2*b + 6*b. What is the greatest common divisor of p and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccfcccfcfffcc. What is prob of picking 1 c and 2 f?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.1 + 11.1. What is the fourth biggest value in -1, 0, w, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + (-1*sqrt(198) - sqrt(198))*4)\/(sqrt(72)*-3*3))**2.\nAnswer: 539\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -2\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-10 - -1) - (-5 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 1400*c**3 - 95904*c**2 + 2431944*c - 21178908.\nAnswer: -4*(c - 269)*(c - 27)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7817 divide 3034950250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177 - 153. What is the smallest common multiple of 2 and (66\/l)\/((-1)\/(-8))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 0, -6*b + 2*b - 4*j + 32 = 0. Let k be (-4 + b\/4)*7. What is the units digit of (-1272)\/(-42) + 4\/k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*a - 18 + 56 = 0, b - 6 = -2*a. Let m = 2 + 0. Calculate the lowest common multiple of b and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 13. Let d(k) = -6*k**3 - 2*k**2 - 5*k - 4. Let z be d(-1). Let t be p(z). What is the third smallest value in t, -2\/5, -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1441, -2717, -3773, -4501, -4793?\nAnswer: -4541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdvlovlooodovdoldll. What is prob of picking 1 d and 1 v?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101876 and 127345.\nAnswer: 509380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 5, -2, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 0.5, -18\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -4. Which is the third biggest value? (a) 1\/8 (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 - 90a?\nAnswer: -8b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60330.18 rounded to the nearest one hundred?\nAnswer: 60300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -117 + (19 + -28 - (-24 + 0)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33818936 - -72.6\nAnswer: -33818863.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2928 is divided by 122?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -167 in increasing order.\nAnswer: -167, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*s**2 - 407*s**2 + 1212*s**2 - 440*s**2.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*((-2*p + 3 - 3)*(-2 - 1 + 5) - 5 - 6*p + 5)*(-3 + 2 - 1).\nAnswer: -60*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4236 - 4234. Solve 4*j + w = 16, 11 = -j + 4*w - i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -4)*21\/(-35). Suppose -4*b = -d - 2596, -5*b + w*b = -2*d - 1292. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*a - 2*w, a = 3*a - 4*w - 8. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 107*r**2 + 19469*r - 839. Give f(-182).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27722175?\nAnswer: 3, 5, 13, 28433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (56160\/(-70))\/27.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56115, -224441, -504985, -897747, -1402727, -2019925?\n\"Answer: -56109*b**2 + b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12244 + -11991. Calculate the highest common factor of t and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/80 and (-20)\/(-10) + (-5)\/16 - -1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223590 is divided by 74529.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 2, -0.2, -3, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 6. Suppose -3*s + 69 + 42 = 0. Calculate the remainder when s is divided by m(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-8*g + 2*g - 8*g).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 95cb61 (base 13) to base 4\nAnswer: 31121212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 321d4d - 1c?\nAnswer: 321d31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 - 98*q**3 - 2*q**4 + 7*q**3 + 51*q**3 + 0 - q to the form p + z*q**2 + a*q**3 + m*q + i*q**4 and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112804 - 66344. What are the prime factors of k?\nAnswer: 2, 5, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x + x - 2 - x)*(-3 + x**2 + 3) - 779*x + 128*x**3 + 779*x + (-2*x - x + 5*x)*(x + x**2 - x))*(-5*x**2 - x**2 + 4*x**2).\nAnswer: -258*x**5 + 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 31 = 5*l, -5*l - 15 = -4*l + 5*q. Does 6 divide (17 - 0)*(-4 - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14620342 * 0.5.\nAnswer: 7310171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 38 = -o + c, 5*c = -2*o - 10. Let d = 5 + o. Let z = -6 - -6. Put d, 4, z in increasing order.\nAnswer: d, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52002\/19085 + -119\/347. Are u and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -10) + (-7 - 0) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1848*v - 3692*v + 1847*v. Let t(r) = -3*r + 33. Calculate u(t(c)).\nAnswer: -9*c + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 503401231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/12 or -50\/239939?\nAnswer: -50\/239939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/60 + r**4\/8 - r**3\/6 + 3*r**2. Let q be (-5 + 1 + 1)\/1. Calculate o(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r = 64*r - 327 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, 1.8.\nAnswer: -4, 1.8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 683 - 321. Suppose -4*g + 86 = -s. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*w - 65, -5*o - 65 = -8*w + 3*w. Suppose -2*m = 3*m + 25, -3*j = 5*m - 128. What is the remainder when j is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -32.24. Let s = 0.04 + b. What is the nearest to s in 0.5, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 - 10*z**2 - 2*z - 9. Give j(-6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 - 3*y**5 + y**5 + (-2*y**4 - y + y)*(-2*y + 3*y - 3*y) + 2*y**5 - 2*y**5 + 3*y**5 + (3*y**4 - 3*y**4 + y**4)*(5*y - 2*y - 4*y).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*x + 15, -5 = -5*f - 0*f - x. Suppose -2*c = -5*l - 3*c + 54, f = -2*l + c + 16. What is the remainder when 25 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -20, -3*c + 31 = -0*c - 5*h. Solve o + 2*y = -1, -19 = -3*o - c*o - 2*y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -6 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -964127, -964126, -964125, -964124, -964123, -964122?\n\"Answer: z - 964128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 112477\nAnswer: -112478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x - x - x + 4*x + (2*x + x - 2*x)*(0 - 2 + 4))*(-1 + 0 + 0 + (-5 - 5 + 8)*(-4 - 2 + 1)).\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*b = -130*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, h: 3, j: 3, q: 3, x: 2, v: 1}. Give prob of picking 1 j and 1 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g + 311 = 2*d, g + 4*d - 117 = 0. Suppose 9*r - 10*r + 10 = 0. Let v = g - r. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 3)*(3*m - 3*m + 4*m)*(-4598*m + 1322*m - 1246*m) as s + g*m**2 + p*m and give g.\nAnswer: 36176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Let t = 0.9 - 0.6. Let g = t + -0.2. What is the smallest value in g, o, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-10)\/5))\/((-10)\/6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5253.3 to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 + 251. What are the prime factors of z?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. Suppose -1 - j = -2*o. Let m(v) = 4*v - 4 + o + 1. Let w(k) = k. What is w(m(y))?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 - 46*o**2\/7 + 310*o\/7 - 650\/7.\nAnswer: 2*(o - 13)*(o - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -33.6.\nAnswer: 34.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 74, 0.2, 2, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-24\/7)\/p)**(-24\/7)*((p*p\/(p*p**(-33))*p)\/p)\/(p\/p**(1\/7)))**(-4\/9) assuming p is positive.\nAnswer: p**(-9472\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2 - 3*y + 10. Let k(m) = 69*m**2 + 9*m - 20 + 69*m**2 - 129*m**2 - 2*m. Give 3*k(n) + 7*x(n).\nAnswer: -n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 242.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -104*l - 618. Calculate z(0).\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 72*b + 3321. Let o be p(-46). Let c(i) = i**2 - 7*i - 18. What is c(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/33 - 3)*(-5 - (-189)\/35)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -14, 50, -2, 5.\nAnswer: -14, -2, -0.04, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 2*n = -13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156.81*-0.888.\nAnswer: -1027.24728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/9 + 134294*i**2\/9 - 2262996806*i\/9 + 96565364966\/3 = 0. What is i?\nAnswer: 129, 33509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 175. Suppose 8*s - 6*s = 68. Calculate the greatest common divisor of w and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -2\/13, -12, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -18442005 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 3*y**2 + y. Calculate r(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - 0. Let s = o + 0.86. Let z = 4.914 - 4.914. Which is the smallest value? (a) z (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*((-224)\/(-12) + -4). Let z = 114 + g. Suppose 6*o = -8 + z. Solve -k - 25 = 5*m + 4*k, -3*m = -o*k - 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, -33 in increasing order.\nAnswer: -33, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/6 - 441*r**4 - 1755613*r**3\/6 - 1165122*r**2 - 3490082*r\/3 = 0. Calculate r.\nAnswer: -1321, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 525*z**4\/4 + 122105*z**3\/4 + 17640*z**2 - 11595*z + 1160 = 0. Calculate z.\nAnswer: -232, -1, 2\/15, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 13 + 11. Suppose 5*y = -u + 2*u - w, -8 = 4*y. Solve -u*t = 1 - 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4974 - -0.485. Let l = m - -0.0123851. Round l to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*f + 16, -4*q = 2 + 14. Let c = -9 + 14. Let g be ((-56)\/35)\/((-2)\/c). Solve f = -j - 3*a + 9 + g, -9 = -5*j - a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (28 - 89) - (-9 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/53205?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*568\/12 - (-1 - -2). Suppose 17*l = 12*l + m. What is the remainder when l is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 6) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3875 and 18825525.\nAnswer: 94127625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = w - 4*h, 0 = 4*w + 5*h + 3. Suppose 0 = 4*a - 4*t - 8, w*a - 6 = 3*t + 2*t. Solve s - 6 = a*g, 6 = 4*s + s - 2*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/137 (b) 3 (c) -2\/11 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3 + 356*t**2 + 6994*t - 747348 = 0.\nAnswer: -49, 41, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 11. Let m be l(-6). Suppose -16 = -4*c + m*w, -14 + 3 = -3*c + 4*w. What is the greatest common factor of c and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15483532 is divided by 3527.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + 98 - 114) + (2 + -12 - (1 + -2))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 0*z - 1 - 5*z. Let k(v) be the second derivative of v**4\/12 - v**3\/2 - 2*v**2 - 20*v. What is 6*g(s) - 2*k(s)?\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from mwqaiiqiaqi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5408 and 4434222.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -40. Let b(t) = 2*t**2 + 7*t + 21. Let j(a) = 2*a**2 + 6*a + 22. Let k(n) = r*j(n) + 6*b(n). Factor k(i).\nAnswer: 2*(i + 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*g + 8*g - 3*s, -5 = -g - s. Suppose 2*q = 3*u + g, -2*u + 3 = -3. Let m(o) = o**3 - 2*o**2 + 4*o + 2. Is m(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180224 and 28.\nAnswer: 1261568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-4 + -2 - -9) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -160135 - 4?\nAnswer: -160141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 11}. Give prob of picking 3 v.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23783 divided by 1399?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i*i**(-1\/14))\/(i**(-7)*i\/i**0) assuming i is positive.\nAnswer: i**(167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*i = 23, 0 + 5 = i. Put -0.2, -2, 4, k in descending order.\nAnswer: 4, k, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8\/9 - -67\/45. Suppose -4*y + 8 = -2*l, -8 = -0*y + 2*y + 2*l. Factor 0 + y*h + v*h**2.\nAnswer: 3*h**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1388*q - 15272. Calculate t(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 6*v + 3. Let p be j(7). What is the remainder when 36 is divided by (-19)\/(-4)*-1*p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -1573*a**5\/10 - 201*a**3 + 297*a. What is the second derivative of p(h) wrt h?\nAnswer: -18876*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -9 - (-6 + 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 207 = -c, 3*c - j + 1077 = -2*c. Let x(m) = m**3 - 7*m**2 + 19*m + 1. Let h be x(9). Let z = c + h. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g + 2 = -82*g. Let m = 3 - -13. Let r = m + -19. What is the closest to r in -2, g, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f + 21*f + 9978 = 0. List the prime factors of f.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-6)\/7*(-56)\/(-36))*32307\/(-2937)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 2*o**2 - 3*o + 2. Let c(m) be the second derivative of m**5\/20 - 7*m**4\/4 - 23*m**3\/6 + 19*m**2\/2 - 25*m. Let j be c(22). Give d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19531 is divided by 307?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*u + 15 = 7*g, g - 25 = 4*u. Let k(i) = 2*i**3 - 2*i**2 + 2*i. Calculate k(g).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63359, -126738, -190117, -253496, -316875, -380254?\nAnswer: -443633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20289740*k**4 + 27*k - 122518?\nAnswer: -243476880*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320024323 (base 5) in base 14?\nAnswer: -616664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*y + 194*y - 144*y + 11559 = 1591 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 8916.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, -11444, -47, -5 in descending order.\nAnswer: 4, -5, -21, -47, -11444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -198*s**4 - 120 - 219 - 54 + 33*s**4 + 6*s**4 wrt s.\nAnswer: -636*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4, 0 = 2*h + 4*d - 6*d + 30. Let o(i) = 15*i**2 - 11*i. Let v(w) be the second derivative of -w**4\/4 + w**3\/3 - 2*w. What is h*v(c) - 2*o(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7306.857 litres?\nAnswer: 7306857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 165022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28083119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20241364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 737.\nAnswer: 8844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)\/n*n**(2\/21))\/((n*n*n**(2\/9))\/n**(-2\/7)) assuming n is positive.\nAnswer: n**(-26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6845, 6842, 6839, 6836, 6833?\nAnswer: 6830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from ofoofogoffosgoooofo.\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 585 divide 738855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1084.666 + -2.666. Let h = t - 1081.5. Let v = -0.01 - 1.19. What is the nearest to v in 5, -4\/7, h?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 7 + 2 + 575. Let r = -574 + b. Solve -5*j + 0*h - r*h + 25 = 0, -2*h - 18 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(175)\/(sqrt(55)\/sqrt(11)))\/(sqrt(63) - (sqrt(63) - 3*sqrt(63)) - sqrt(7)).\nAnswer: -1 + sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -697 = 55*b + 1118. What is the nearest to b in -1, 0.3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 8*f - 13. Let t be a(-4). Suppose 0 = 4*o + 4*s - 148, -4*s = -t*o - s + 111. Calculate the remainder when o is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989811859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -0.11, -0.8 in increasing order.\nAnswer: -73, -0.8, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -585.5 or 7\/40373?\nAnswer: 7\/40373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -732 - -898. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 15 = 9. Let x = 0 - t. Let q = 0.11 - -4.89. Which is the second biggest value? (a) x (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941.0177ng in grams?\nAnswer: 0.0000009410177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(72) - (1 + sqrt(45)))*-1.\nAnswer: 1 + 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 10*m**2 + 6*m + 3. Let w be x(9). Let z(c) = -3*c - 65. Let j be z(w). What are the prime factors of (21\/7)\/(((-3)\/j)\/(-3))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 21*t**2 + t + 1. Let u be o(-1). Let b = -5 + u. Calculate the remainder when 20 is divided by (-4)\/b - 45\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*11\/(462\/(-21))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.107 - 0.169. Let o = f + 0.276143. What is o rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2600*i - 2596*i + 67 - 6)*(3*i - 4 + 6 - i) to the form u*i**2 + d + w*i and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/25)\/t*t**(-2\/7)*(t**0)**(-1\/16) assuming t is positive.\nAnswer: t**(-239\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 35.4. Let i = -6 + j. Let t = i + 0.839. What is t rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 15306060*n + 15306064.\nAnswer: -4*(n - 3826516)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 502*a - 504*a + 11 = 0, -3*p = -3*a + 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -5*t**9\/504 + 69*t**5\/40 - 45*t**4\/8 + 113*t**2. Let z(w) be the second derivative of y(w). Differentiate z(s) wrt s.\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**2 + 5*w**2 - 2*w**2)*(282 + 84 - 182)*(2*w + 17*w + 0*w) as r*w**2 + b*w + h + d*w**3 and give d.\nAnswer: 17480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (534534\/10692 + -50)*6.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 1028, 1538, 2046, 2552, 3056?\nAnswer: 3558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/17 + 14*d**3\/17 - 274*d**2\/17 + 1050*d\/17 - 72 = 0.\nAnswer: -17, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 10\/11, -4?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -20. Suppose 1468 = 5*l - 362. Let j = l - 7688\/21. Sort 4, j, m.\nAnswer: j, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2194670714?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 183907*j + 735644.\nAnswer: -(j - 183911)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11*-3217.21\nAnswer: -35389.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 9 = r, -3*s - 3*r = 161 - 158 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 122. Let w be 7\/(z\/1250)*-4668. What is w rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010001100 (base 2) to base 4.\nAnswer: 202030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 86 - 88 = 0. Suppose 2*u = u - a. Does 26 divide (234\/(-12))\/(u - (-15)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 3\/(117\/6). Let z(a) be the third derivative of -a**4\/24 - a**3\/2 + 9*a**2. Let t be z(-3). Is c at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51448062 to the nearest integer?\nAnswer: 7173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-5))\/((-2)\/(-30)). Suppose -13 = 3*d + 4*v, 30 + 35 = -5*d + 2*v. Let j = d + p. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/4613, -212, -2\/13, 73?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 2. Let y(m) be the third derivative of m**4\/24 + 14*m**2. Determine y(r(u)).\nAnswer: 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71, -140, -247, -410, -647, -976, -1415, -1982?\n\"Answer: -3*w**3 - w**2 - 45*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -1\/8, -8, 44, -1\/3.\nAnswer: -8, -5, -1, -1\/3, -1\/8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 0, -2*p = -2*n - 717 - 779. What is the lowest common multiple of p and 28?\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 + 2*l + 1. Let b be u(2). Suppose 51 = 2*z - y, z - y - y = b. What is the greatest common divisor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 15*g + 37. Let k be s(15). Let b = -65 + k. Is 14 a factor of b*(-4 - -7)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -11. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 3*j**2 - 2*j + 3. Let g be s(2). Solve o = 5*x - g*o, -3*x = 4*o + 32 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -r - 4 - 14, 0 = 2*s + r + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00649922569 to four decimal places.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302563 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11837)\/(-2492) + (-807)\/132.\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1730 + 1735. Solve z - y = 4*c, 2*z + 3 = -3*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653911?\nAnswer: 47, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**3 - 4*s - 2399*s**2 + 2*s + 2400*s**2 + (-6 + 2 + 5)*(62*s**2 + 101*s**3 - 62*s**2) as g*s + u*s**3 + z + h*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16226, -16394, -16560, -16724, -16886, -17046?\n\"Answer: x**2 - 171*x - 16056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 12:06 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**7\/840 - a**6\/360 - 55*a**3\/6 + 11*a**2. Let g(t) be the first derivative of q(t). Factor g(i).\nAnswer: i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(36\/40))\/2 + (-267718)\/(-43) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*g - 5*u - 128 = 0, -4*u = 16. Suppose -6*v + g - 12 = 0. Suppose v*x = x + 1062. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226522, -906079, -2038672, -3624301, -5662966, -8154667?\nAnswer: -11099404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2554520, 5109071, 7663622, 10218173, 12772724, 15327275?\nAnswer: 17881826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 526998122 + -526998221.9999894. Let w = a - -100. What is w rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440 (base 5) to base 16.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 454918885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -13275440874254?\nAnswer: 13275440874254.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1727.1 - -1742.1. Which is the closest to -2\/5? (a) -0.4 (b) 2\/9 (c) 0 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiiy. What is prob of picking 1 h and 1 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23 + 1 - (4 - (2 + 6)). Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1749 and 6?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 - 1. Let y be k(1). Suppose -330*r - 90 = -324*r. Put r, -5, 5, y in ascending order.\nAnswer: r, -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6518 * -784.\nAnswer: 511.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -262?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3.7. Let t be (4\/(24\/9))\/3. Which is the nearest to -1\/4? (a) t (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0519601 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -32654.\nAnswer: 32649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 78373.73 decades?\nAnswer: 783.7373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 4:32 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 8:35 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5689 - -273125\/48. What is the common denominator of v and 19\/1232?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 85524032*g + 914295006192128.\nAnswer: 2*(g - 21381008)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let v = 10.62 + 0.18. Let z = 11.3 - v. What is the closest to h in z, -0.2, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = -23*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + t - 7. Let o(n) = -n**2 + 18*n. Let y be o(18). Determine f(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*u + 13 = -5, -3*u = 4*v + 39. Let p = v - -76. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2304, -9448, -21364, -38058, -59536, -85804?\nAnswer: -116868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 984244 and 18378.\nAnswer: 8858196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5908, 23557, 52992, 94207, 147196, 211953, 288472?\n\"Answer: -g**3 + 5899*g**2 - 41*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) 8\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 14 - 14 + 113 - 67 - 1787*v**2.\nAnswer: -1787*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 79.849 - -27\nAnswer: 106.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149829, 299659, 449487, 599313?\nAnswer: 749137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -441 divided by 34\nAnswer: -441\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9376813 is divided by 4712.\nAnswer: 4645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 220656744 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 4, 28 in ascending order.\nAnswer: 4, 18, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*(-31)\/465?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -176120 in decreasing order.\nAnswer: 4, -5, -176120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 33600000 = -w, -w - 8400000 = q + 2*w. Round q to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/9*-9 - -1. Suppose -3*o - v + 6 = -8, 0 = v + y. Suppose 191 = o*d - 7. Calculate the highest common factor of d and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(5 - 10 - 13*m + 7) - m - m + 6*m.\nAnswer: 43*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = -4*i + 4*l, 5*i + 3*l - 2*l - 646 = 0. Suppose -120 = -124*y + i*y. Which is smaller: y or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14637 - 19*j + 7240 + 7397.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/112*(-2)\/24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 3\/4483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.23, -1.08, 22\/9?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand -582*z + 139*z**2 + 299*z + 283*z - 6 + (2 + 1 - 4)*(0*z**2 - z**2 + 0*z**2).\nAnswer: 140*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48 and 2838773.\nAnswer: -136261104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 7\/(-7) + (-92)\/(-4) + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 16*m. Suppose l - 3*y + 34 = -8*y, -5*y + 22 = -3*l. Let n be r(l). Differentiate -11*i - n - 5*i - 8*i + 23*i wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 111.51, -2\/17, 0.2, 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4765 - -13964. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/197129 + 7288061\/375333616. What is the common denominator of 31\/18 and n?\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.3, -3, 1\/2, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146501955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 984946 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2. Let a(o) be the third derivative of -o**4\/24 + 5*o**3\/6 + 152*o**2. Let n = -3 - 2. What is n*b(h) + 2*a(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*s + 4*x, -4 = 5*s - 5*x + 56. Let a = -5 - s. What is the first derivative of 0 - 1 - o**a - 2*o**4 wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/3)*z*z\/(z**(-3\/4)\/z))**43 assuming z is positive.\nAnswer: z**(2623\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 0*y**3 + 115*y**2 + 110*y**2 - 310*y**2 + 85*y**2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 16*t - 30. Determine z(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 22*p**2 + 132*p - 42. What is the units digit of w(-29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*x - 4 = 9*d - 11*d, d = 6*d + 4*x - 11*x + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -806, -3214, -7222, -12830, -20038, -28846?\nAnswer: -39254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001111001 (base 2) to base 5.\nAnswer: 113332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11))**27\/(q**(-3\/5)\/(q*q*q**1)) assuming q is positive.\nAnswer: q**(468\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1152\/564 + -2)*(-1046)\/328. Let j = 6\/41 + c. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8039928 or -8039940?\nAnswer: -8039940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from dttytxybdyddtxttt.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 18*d**2 + 18*d + 4. Let v be c(-19). Let s = 586 + v. What are the prime factors of s?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3 + 11060*d**2 + 362866*d + 351808 = 0. What is d?\nAnswer: -5497, -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 331d - -1?\nAnswer: 331e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 + 2 = 0. Suppose -4*x - q*k = -k - 18, 0 = 3*k + 3. Let a = 0.4 - 0.3. What is the nearest to 2\/5 in 2, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/19, 2\/9 in ascending order.\nAnswer: 2\/19, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -127, -123, -121, -121, -123, -127?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -13 - 7. Suppose o - 40 = u, 0*u - 4*u = -q*o + 198. Let a be (o\/475)\/(1\/20). Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76981 - -76977. Let h(f) = f**2 - 2*f + 2. Let r(w) be the first derivative of w**3 - 9*w**2\/2 + 9*w - 2. Give i*r(b) + 18*h(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2016973*p**5 + p**4 + 3*p**3 - 538291630*p**2 wrt p.\nAnswer: -121018380*p**2 + 24*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -44. Let h(b) = 4*b**3 + b - 1. Let x be h(y). Suppose -z + 3 = 1. Solve z*g + x = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 781819039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 11 - -10) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -304341, -608702, -913063?\n\"Answer: -304361*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13021?\nAnswer: 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 3*h**2 + 8*h + 9. Let l be k(7). Let f = l - -816. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83712 to the nearest one thousand.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Suppose c*m = m. Suppose 0 = -b + 2, -6*b = -5*p - b + 70. Solve 3*y = u + p, u - 4*y + 21 = -m*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -90.80836\nAnswer: 181.61672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, -2\/23, -0.083, 4, -2\/77, 9, -5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11211579 divided by 3737193.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -469 - -471. Solve -8 = 2*v, 3*l - v = -c - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(65)*-3)\/(sqrt(540)\/sqrt(12)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 23*y**2 - 4*y + 24. Let x(z) = -22*z**2 + 3*z - 25. Let m(w) = -3*k(w) - 4*x(w). Differentiate m(h) with respect to h.\nAnswer: 38*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 350\/3 - 709\/6. Which is the closest to -1? (a) 0.02 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1782*r**2 - 242*r - 1098. What is the thousands digit of p(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2823, 5\/4, 6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**3 - 5*c**2 + 2*c + 2. Suppose -o - s = -5, -2 = -4*o + s + 3. Let i(m) = -4*m**3 - m**2 - 4 + 3*m + 7*m**2 - 5*m + o. Give 6*h(w) + 5*i(w).\nAnswer: -2*w**3 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4*c + 20 = -t, 5*t + 5*c = 20. Suppose 0 = -5*v - 8 - 7, -32 = -5*k + t*v. Calculate the remainder when 7 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15982991*l**2 - 15982962*l**2 + 31965903*l**2.\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 i when four letters picked without replacement from ififibizbbz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-2 + 9 + (-5 - -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-24)\/((-24)\/109) - (-17)\/((-119)\/(-84))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218941 is divided by 401?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*y - 6. Let q(z) = -2*z + y*z + 1 - 5*z + 4*z. Calculate the least common multiple of q(-1) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*((286\/13)\/11)\/(-70)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44796*g**2*l*x**2 + g**2*x**2 + 89483052*g*x**2 + 1134*l*x**2 wrt l?\nAnswer: 44796*g**2*x**2 + 1134*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67364 is divided by 538?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 79395756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7. Suppose h*c + 3 = c. Solve -3*q + 3 = 3*l, -2*q + 5 = 4*l - c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(495 + 495*n - 495)*(1 + 0 + 2)*(-1 - 3 + 3).\nAnswer: -1485*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -6. Suppose 0 = -m*b + 5*f - 25, -2*f = 2*b - 3*b - 7. What are the prime factors of b + 5 + 1*14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.82 + -1.016. Let h = l - 4.834. Let c = h - -0.03. Put 0.4, 2\/11, c in descending order.\nAnswer: 0.4, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(1 - (-1)\/2). Is -8 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {p: 1, t: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2201.8 + -2202. Which is the second smallest value? (a) -5 (b) -3\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 1. Let y(j) = -9*j - 2. Let f(w) = -4*d(w) - y(w). Let x be f(2). What is the second derivative of -2*n + n - 5*n**5 + x*n**5 wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 350, 1202, 2630, 4640, 7238, 10430, 14222?\n\"Answer: m**3 + 282*m**2 - m + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2966\/7 + -8702\/21. Which is the nearest to -2\/9? (a) 5 (b) m (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -688 - -1090. Suppose -n = 4*g - 382. Put 1, 4, 2, g in decreasing order.\nAnswer: 4, 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 1. Let q(s) = -10*s + 15. Let n(f) = 4*k(f) - 2*q(f). What is the units digit of n(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g - 14. Let n = -12 + 5. Let j be i(n). Let c = j + -127\/3. What is the biggest value in -1, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from vvvvwwvvwvvwvvvvwvw.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 66.64. Let i = -0.64 - m. Let w = i + 6.0000058. What is w rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/1061, -5, -4, 5 in descending order.\nAnswer: 5, 2, 1\/1061, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*n**2 - n - 6*n**3 + n**4 + 0*n**2 + 7*n**3 to the form u*n + w*n**2 + j*n**3 + p*n**4 + d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 75*h**3 + 24*h**3.\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/4 (b) -9 (c) -0.0795 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (2 - 4) + 0. Let x be -2*(h + 1) + (-10)\/(-2). Calculate the greatest common divisor of x and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97749 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**3 - 2*u**2 - 2*u - 1. Calculate g(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 - 446\/(-128)) + -1 and (1404\/(-144))\/(33\/(-2)).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/54)\/(6\/22*(-1456)\/(-6552)*33).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*a - 2, 3*a - 2*p + 6 = 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288288 is divided by 190.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28854957 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pka when three letters picked without replacement from {p: 2, k: 1, o: 2, g: 1, b: 2, a: 10}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - ((-12)\/18 + 454\/252) and -101\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -30 + 1 + -1 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(80) - (0 + sqrt(30)\/sqrt(6) + sqrt(5) + sqrt(5)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -20. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23664*f**2 + 13128*f**2 + 5288*f**3 - 37044 + 4*f**5 - 356*f - 4936*f + 252*f**4.\nAnswer: 4*(f - 1)*(f + 1)*(f + 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100 (base 2) in base 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 45 = -r. Determine b, given that -32*b**2 + 59*b**2 - 5 - 21*b**4 - 1 + r*b - 15*b**3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.04 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 13*m + 232. What is s(-20)?\nAnswer: 1292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 44369, -2, 1 in increasing order.\nAnswer: -2, 1, 3, 44369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 356779043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (616 - -3) + 8\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:30 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6306005 (base 7) to base 11.\nAnswer: 478865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11551 take away -4994?\nAnswer: -6557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 6\/(8\/(-4)))*2\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -8, -5, 4, 2 in increasing order.\nAnswer: -33, -8, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.28725 and -2.\nAnswer: 8.5745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + 3 + 5)**2 + -3 + -2*sqrt(5) + sqrt(35)\/(sqrt(175) - sqrt(7)).\nAnswer: 57*sqrt(5)\/4 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 83433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*p - 119*p + 43*p**2 + 42*p**2 - 118*p to b*p + z*p**2 + t and give z.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -0.3. Let p = 57.5 + -58. Sort c, p, 2\/7.\nAnswer: p, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (1 + 9 + -3 - (-8 - -14)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151.661 + 0.339. Let k = 152.4 - l. What is the third biggest value in k, -1, 4\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 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: What is the hundreds digit of 1527*((-4)\/(-15))\/(1\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*x - 4. Let t(k) = k**2 + x - 2*k**2 + 7*k**2 - 3. Let m(h) = 5*h - 71. Let w be m(14). What is t(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 286 - -281. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 381 = 4*i - 367, -4*r - 1463 = 3*i. Let k = r + 387. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1004331401?\nAnswer: 1004331411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006360 is divided by 37272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 10 - (7 - (-3 + 3 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36525 = t + 4*z, -5*z = 229*t - 228*t - 36533. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15352614 is divided by 391?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let x be (9\/6)\/(2\/8). Let l(a) = 1. Let c(s) = 7*s**2 - 2. Let z(j) = x*l(j) + 3*c(j). Calculate b(z(y)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 65516 (base 8) to base 4\nAnswer: 12231032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-916)\/(-350) + (-5202)\/(-21675)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94818677 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f + f + f)*(1 - 2 - 1) - 21*f + 29 - 29)*(0 + 2 + 0).\nAnswer: -46*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368598, 368764, 369038, 369474, 370126, 371048?\nAnswer: 372294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-428)\/(-32) + -4 - (-578 + 588).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 5*p + 15. Let m = p - -35. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9 = 0, -g - 2*t + 21 = -7*t. Solve -8 = -3*a - a + 4*n, 3*n = g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -15*c**8\/56 + c**7\/3 + 268*c**4\/3 + 577*c - 2. What is the third derivative of f(g) wrt g?\nAnswer: -1800*g**3 + 840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-4 + 0)*6\/54. Factor -5\/3*n - z*n**3 - 2\/3 - 4\/3*n**2.\nAnswer: -(n + 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 3*z + 7. What is the remainder when 11 is divided by n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26895742 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 17 = -o. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 - 545. Let n = v - -381. What is the closest to 1 in -3\/14, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 - -15)*(-2 - -3). Solve -5 = 2*q + 5, -p*q - 45 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/350 + 108\/252?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 27*t**2 - 2*t - 1. Let c(h) = 53*h**2 - 5*h - 2. Let w(s) = -6*c(s) + 14*x(s). Let l = -6 + 2. Let p be w(l). Round p to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23008936 divided by -11504468.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 4*k**3 - 4*k**3)*(24*k + 26*k - 45*k) + (1 + 4 - 3)*(4*k**4 - k**4 - k**4).\nAnswer: 14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 5*q - 2, h + 3*q - 28 = 0. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143966192 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4173 (b) -2\/9 (c) -19.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/1 + -2 - -32. Suppose d - v - 63 - f = 0, 0 = -d - 3*v + 105. Suppose 0 = -j - 3*j + 44. Calculate the greatest common divisor of j and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggsmggkrgrgs. What is prob of sequence ks?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 - (-2 + -3 + 2). Let v = 3.89 + 0.11. Let i = v - 1. What is the biggest value in m, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -1, 9, 240, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2111 - 13313103002?\nAnswer: -13313100231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -1\/6*j**5 - 2*j**3 - j**4 + 0 - 5\/3*j**2 - 1\/2*j = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-8))**(-10)\/((n\/n**(2\/5))\/((n**(3\/23)*n)\/n)))**40 assuming n is positive.\nAnswer: n**(73168\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17928 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*k = -0*g + 8, 3*g = 2*k - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 17*w**2 + 24. Let a be l(-17). Calculate the greatest common factor of a and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3505122 nanometers in centimeters?\nAnswer: 0.00000003505122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1761 and 1725193.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/130 + ((-544)\/20)\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45170543?\nAnswer: 11, 19, 216127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 12 + 18. Let a be (16 - -1)*(-5 + r). Find the third derivative of -4*n**3 - 20*n**2 + 8*n**3 + a*n**2 wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152) + (sqrt(152) - (sqrt(152)*-3*2 + sqrt(152))) + sqrt(152) - sqrt(152))*-2)\/(sqrt(40)\/(sqrt(5)*2) - sqrt(128)\/sqrt(4)).\nAnswer: 32*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.39 - -0.29. Which is the second biggest value? (a) 0 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 251321 + -322?\nAnswer: 250666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*h + 12*h - 9*h + 2*h**2 + 113 + 18*h - 12*h in the form f + o*h + a*h**2 and give f.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(136))\/(sqrt(64)\/(sqrt(32)\/sqrt(4))).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-3 - -9 - 0 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 822 and 269205?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/9 (b) -6 (c) 3 (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2880) + -2 - sqrt(45).\nAnswer: -2 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553033.8 months in decades?\nAnswer: 4608.615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -237*k + 714. Give v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85095 and 7320.\nAnswer: 680760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -1 - (-8 + 4). Let l be (-401366)\/(-84)*3\/x. Let g = 3588 - l. Calculate the common denominator of -65\/6 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -45 (b) 119 (c) -5 (d) 1.3 (e) -0.4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 19*l - 49. Determine r(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p + 1. Let v(a) = -7*a**2 + 9*a - 6. Give 5*n(s) + v(s).\nAnswer: -2*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1288, 1612, 1928, 2230, 2512, 2768?\n\"Answer: -m**3 + 2*m**2 + 325*m + 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*n - 4403 + 2197 + 2205 as a*n + x and give a.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - -109 - (-51 - (280 + -347)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -5\/4 (b) 0.3659 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145 - -58. Let k(s) = s - 27. Let b be k(-15). Let p = b - l. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 17 - 1 = 0. Suppose 3*x - 29 = -7*w + 2*w, d*x = -4*w + 28. Suppose 0*i - w*i + 68 = 0. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -73*w**3 - 2*w + 5. Let d(a) = -110*a**3 - 3*a + 8. Let n(q) = -5*d(q) + 8*h(q). What are the prime factors of n(-1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262404 (base 7) in base 12?\nAnswer: 24376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 100, 178, 270, 370?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (309\/45 + -7)*(2 - -3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*z**2 + 2*z**3 + 14*z**3 - 18*z**3.\nAnswer: -2*z**3 - 41*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -745\nAnswer: -3\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 575 - 197. Suppose n = 5*y + 2*y. Suppose -j - y = -238. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -300\/13, -1\/2, 10, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279 divided by -4.\nAnswer: -279\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 2*m + 3*m)*(-43 + 59 - 47)*(-m + m - 4*m)*(3 - 2 + 1).\nAnswer: -496*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 1, m: 10, f: 2}. Give prob of sequence wfdm.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48359 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35\/(-350))\/((-1)\/(-4)). What is the nearest to p in 0.03, -13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 947716150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3084*p. Let w(s) = 4*s. Determine w(l(y)).\nAnswer: -12336*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036 less than 0.11?\nAnswer: -1035.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 5 = -i + 2*o, 3 = -o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p - 2*p. Is 3\/25 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574, -613, -664, -733, -826, -949, -1108?\nAnswer: -1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**5)\/k**11)**29 assuming k is positive.\nAnswer: k**(-406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*y**3 + 31 - 8*y**2 - 463*y**3 + 8*y**2.\nAnswer: -y**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 41 + 2828*v.\nAnswer: 2828*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130023780 by 13002378.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181033 is divided by 35411.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 11. Let u be c(8). Let y = u - 13. Calculate the smallest common multiple of (-1)\/2*(0 + -2) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -9.87. Let l = 0.03 + j. Let y = 1.3 - 1.3. What is the nearest to y in l, 5, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2479 * 27.\nAnswer: 66933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(12\/15*-2) - (-17329)\/1333\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 4*w**2 - 20*w + 92. Determine n(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 29953\nAnswer: 4\/29953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 0.5. Let d = z - 0.05. Let b = -1.721 + -0.279. What is the nearest to b in -3, d, 4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -2*k**7\/525 - k**6\/75 - k**5\/75 + 2*k**2. Factor o(m).\nAnswer: -4*m**2*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 1280 + 622. Suppose 0*h = 2*h - v. Suppose -135 = -4*x + h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21864, 43975, 66088, 88203, 110320, 132439?\nAnswer: 154560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1*5\/15)\/(445\/24030).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(-4543*v + 4543*v - 238*v**2) in the form z*v + y + n*v**2 and give n.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 62, -3, 2\/7, 1, 6.3, -0.02, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -10. List the prime factors of p*((-147)\/(-6) + -3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.439 + -0.061. Put l, -0.3, 1.9, 0.1 in decreasing order.\nAnswer: 1.9, 0.1, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 0\/(-2) + 4679 + 262 + -263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 3*z**2 + 2*z**2 + 2*z**2 - 2*z**2 - z**2 + (-z**2 - 3*z**2 + z**2)*(1 - 2 + 6) + 0 - 2*z**2 + 0.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -162.7, 3\/4, -2\/3, 7 in increasing order.\nAnswer: -162.7, -2\/3, -0.04, 3\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.03 + -0.03. Let o = s + -10. Which is smaller: o or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 503.\nAnswer: -1\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268365?\nAnswer: 3, 5, 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71314 is divided by 17503.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86\/25 or -3\/5?\nAnswer: -86\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - 19. Let t be -3*1*(v\/15)\/(-10). Let a be (-24)\/10 + 1 + 1. Which is greater: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000109386 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 95 - 69 = -2*t, 5*p - 34 = -2*t. Which is the nearest to t? (a) -4\/27 (b) 5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 117?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*p - 2*b, 3*p + 5*b = 5. Suppose g + 3 = 5*c, -3*c + 5 = 4*g - 6*c. Put p, g, -4 in increasing order.\nAnswer: p, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(2*s - 2*s + 4017*s**3 - 12617*s**3).\nAnswer: 8600*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*u + 0)*(-5*u - 36 + 36) + 8*u**2 + 6*u**2 + 4 - 3 - 16*u**2 in the form s + d*u + a*u**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 2 = -23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040741921 to 4 decimal places.\nAnswer: -0.0407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/7, -1\/9, -100?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*h - 22 = h, 0 = h + 4. Let g be 2\/(-15) - 7328\/(-60). Let p be g\/240 - (-18)\/(-48). Which is bigger: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61\/2*z + 3721\/2 + 1\/8*z**2 = 0. What is z?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(a - 2*a + 0*a) + a - 4*a + a + 3*a - 3*a + 2*a)*(16*a**4 - 67*a**4 - 8*a**4).\nAnswer: 59*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 64.812.\nAnswer: -64.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -276*p**3 + 6*p**2 + 13*p + 10. Is s(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 13 = -11. Solve 0 = -6*f + w*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 3, v: 6, h: 3}. What is prob of sequence ma?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-140))\/(1\/(-7))*6\/(-18)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 200122002221210 (base 3) in base 10?\nAnswer: 9902703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 11*v - 3. Let b(n) = -1. Let m be 4*15\/(-6) + 2. Let z be (-3)\/1 - 16\/m. Let y(u) = z*p(u) + 5*b(u). What is the derivative of y(l) wrt l?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08071 < 16.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2 + 4*o + 6. Calculate p(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -70 + 63 + 29 + -70\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**3\/4 - 284879*u**2\/4 - 118698*u - 47479 = 0.\nAnswer: -94958, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -183*r + 814. Does 14 divide l(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/3) + 2. Let h be ((-5)\/y)\/((-7)\/14). Let m be (-6)\/h*10\/(-15). Is m not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3 of a year in months?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 0*q + 1\/3*q**4 + 7*q**2 + 1\/60*q**5 + q**3 + 0. Suppose -2*w = 4 + 2, 2*o + 2*w = -20. Give y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + o - 32 = -3*o, 0 = -c - 5*o + 19. Suppose -69 = 2*x - 63. Is (c\/4)\/(x\/314) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6022*i - 1487427. Calculate f(247).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10340958 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 3 - (829 + -830).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3*(-1)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.4. Which is the nearest to 0.2? (a) 1\/3 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83 + 25*u + 83 to h + w*u and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/12 and (-5)\/(-2) + -4 - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/110044 and 29\/5412.\nAnswer: 330132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 1, f: 1, d: 2, i: 1}. What is prob of picking 2 d and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-572*h + 572*h + 7*h**2)*(0*h**3 + h**3 - 4*h**3)*(0 + 2 - 4).\nAnswer: 42*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 1\/((-2)\/7)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105640 = -30*q + 106060 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 270 = -93. What is the tens digit of d\/3 - 6\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*f + 3*j + 23, 0 = -f + 4*j - 58. Let b = f + 69. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 1\/39 in descending order.\nAnswer: 1, 1\/39, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 0 (c) -40459\/2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 3 = -17*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611 times -141?\nAnswer: -368151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15482, -30966, -46450, -61934, -77418?\n\"Answer: -15484*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 21. Suppose 4*j - 3*j - 1 = 0. Let f = j + -10. Is b not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = z - 3020, 66*z - 5*b - 15120 = 61*z. Is z a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**4 + q**2 + 5. Let x(j) = -3*j**4 - 4*j**3 - 25*j**2 + 49. Let c(p) = 2*b(p) - x(p). Find the first derivative of c(u) wrt u.\nAnswer: 20*u**3 + 12*u**2 + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55814, -223258, -502332, -893036?\n\"Answer: -55815*w**2 + w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*0\/(-2 - 1). Suppose l + 4 = o. Is 26\/o*(-6)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 5*u**9\/504 + u**5\/60 - 5*u**2. What is the third derivative of b(p) wrt p?\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*h**4 - 10*h**4 + 2)*(2 - 2 + 3)*(-68 - 58 + 114)*(-2 + 4 - 1) to the form i*h**4 + z + v*h**3 + m*h**2 + b*h and give i.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25894 by -22.\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -387.2?\nAnswer: -4259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 524096 and 64?\nAnswer: 524096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 5*g**3\/6 + 17*g. Let z(q) = -6*q**2. Give x(z(j)).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 0.6. Which is the second biggest value? (a) t (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1775 less than -4487?\nAnswer: -4486.8225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 960245 and 68.\nAnswer: 3840980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, q: 2, n: 1, y: 4}. Give prob of picking 3 y and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 8235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1032 - -1038. Let j(q) be the first derivative of 0*q**2 + 1\/36*q**n + 1\/24*q**4 - 1\/15*q**5 + 0*q**3 + 0*q - 5. Let j(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -368 - -367.99998892. What is o rounded to 7 decimal places?\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785986?\nAnswer: 2, 163, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:43 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*o = 33, -5*t - 4*o + 11 = -17. Let k(y) = y**3 - 7*y**2 - y - 8. Let r be k(t). Does 2 divide r\/18*6\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -638 (base 13) to base 2.\nAnswer: -10000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1. Let y(a) = -a. Determine -4*x(q) - y(q).\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = -0*o. What is the third derivative of 0*x**3 - 10*x**2 - 5*x**2 + 10*x**3 - 5*x**o wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 30 = -2*z. Let p be (-62)\/(-3) - 4\/z. Solve 0 = 4*g - 2*f - 30, -5*g + 4*f + p + 24 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362043 = 31*f - 8*f. Is 159 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3272416883 to the power of 1\/2, to the nearest integer?\nAnswer: 57205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.455677 rounded to 1 dp?\nAnswer: 599.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((6\/(-3))\/(10\/(-20))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 3054?\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855*p - 857*p + 3 + 0 + 1 + 2 + 3.\nAnswer: -2*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i - 3. Let c be g(2). What is the second derivative of -42*d - 8*d**5 + 3*d**5 - c*d**5 + 16*d wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 7. Let s be b(3). Let g be s\/(-6) - 4\/48. Let -g*p**2 + 0 + 0*p - 3\/2*p**3 - 9\/4*p**4 - p**5 = 0. Calculate p.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 375, -14471, -3, -4 in increasing order.\nAnswer: -14471, -5, -4, -3, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2124240 divided by -12.\nAnswer: -177020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 46, 3, -35, 285?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -178*n**2 + 660*n. What is the smallest common multiple of 504 and v(3)?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13939, -55838, -125685, -223480?\nAnswer: -349223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4107564511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8673 and 49737?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 848 = -3*p + t, 5*p - 1063 = -2*t. What is the remainder when p is divided by 88?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3224 + -3143. Solve -w + 2*j = 9, -63 = -5*w + j - d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13729952 or -13729951?\nAnswer: -13729951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7 - 59 = -u, 3*r = -4*u + 123. Let m be 6\/((-3)\/(u\/(-2))). Suppose 0 = 4*c - c - m. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -25*w - 142. Does 16 divide o(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24544130 (base 6) in base 14?\nAnswer: -168622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:22 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -128635*d + 273. Let h(q) = 7146*q - 15. What is 91*h(l) + 5*w(l)?\nAnswer: 7111*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*r**3 + 0 + 0 - 83*r**3 + 11*r**2 wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -274?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -14*l + 4. Let x(g) = 29*g - 9. Let y = 10312 + -10326. Calculate y*d(i) - 6*x(i).\nAnswer: 22*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 121 = -3*w + 2*z, 0 = -5*w + 5*z + 160. Let k = w + -6. Solve 2*b - k = 5*m, -3*m + 3*b + 16 = -8*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 0, 54, 162, 342, 612, 990?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2375 - 2379. Which is the biggest value? (a) q (b) -17 (c) 3 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 635 + -520. What is the remainder when x is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/20)\/(1\/6). Let c(r) = 4*r**2 + q*r**2 - 2*r**2 - r**2. Let x(m) = m**2 + 500*m - 500*m. What is x(c(d))?\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-70)\/21*(-12)\/(-5). Let j be 149\/(4\/g*-2). Suppose o = 2*o - j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50974 divided by 4634?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-1 + 3)) + 6. Solve n*a - 8*a - 2 + 0*a**2 - 2*a**2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:40 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 12:14 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*g - 45*g - 45 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u, 15*n - 10*n + 5*u = -75. Let y(o) be the second derivative of -o**3\/6 - 8*o**2 + 3*o. Let r be y(n). Solve -9 = 4*h - r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776875 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + (-8 - (-13 - 8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-8)*z)\/z**(-3\/5))**(-42) assuming z is positive.\nAnswer: z**(1344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o + 41. Calculate the remainder when 170 is divided by h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -3.932\nAnswer: -15.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m + 1314 = 5439. Calculate the highest common factor of m and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 19*y**2 - 26*y - 9. Let h be z(18). Let g = h - -525. Let m = -163 - g. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 11, 0, -5 in increasing order.\nAnswer: -5, 0, 11, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/(-32)*-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 + 52674906*a + 231220476842403 = 0.\nAnswer: -8779151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -14\/323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3529, 7241, 10953, 14665, 18377?\n\"Answer: 3712*n - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12275166 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**2 + 1358688*j + 153836090112 = 0.\nAnswer: -226448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4521 (b) 4 (c) 1\/344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2174 - -2143. Suppose 6*r - 3*r = 4*h + 28, -4*h - 4*r = 0. Put l, h, 4 in descending order.\nAnswer: 4, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 56 = x, 0 = -2*d + 2*x + 19 + 19. Suppose 4*a - 5 - d = 0. Suppose a*l = 3*l + 44. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1494 or -1486?\nAnswer: -1494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -7*z - 16. Suppose z*l - 3*l - 224 = 0. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, y: 4, k: 5}. Give prob of sequence qkky.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5968\/55 + 210\/11. Let o = r - 128. Let f = -463\/35 - -87\/7. Are f and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-7)\/c*c)\/c)\/c*c**(1\/3))\/(c*c**(-2\/7))**(-41) assuming c is positive.\nAnswer: c**(454\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5745724148 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m\/m**0)*m*m*m*m))**(-1\/5)*m**0*m*m*m**(1\/2)\/m assuming m is positive.\nAnswer: m**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + -201?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/9 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -6, 2, 18, 42, 74, 114?\n\"Answer: 4*o**2 - 12*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 + 198. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0359 (b) -0.32 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l - 200. Let x be n(41). Suppose 5*i = 7911339 + 1798771. Suppose x*u = i + 2557978. What is u rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -534 (b) 0.4 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -f - 5*u, -9*f - 582*u - 122 = -581*u for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -619682.\nAnswer: 10\/309841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75\/47 - -21367\/188. Let s = 114 - l. Let i = 0.13 - -0.07. Put i, s, -2 in decreasing order.\nAnswer: i, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*p + 2 + (-3 + 2 + 2)*(-51*p - 21*p + 16*p) + 136 - 18*p - 136 + 2*p + 0*p + 0*p + (2 + 3 - 4)*(-3*p - p + 3*p).\nAnswer: -71*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 1147\/(-186))*-6.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by 988.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0 + 132\/(-93). Let f = 2377\/124 + w. Let s = -1539\/74 - 63\/37. What is the common denominator of s and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p + p)*(-3 - 2 + 2) + 0*p + 0*p - 2*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 147093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, -5, -4, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51801 and 45.\nAnswer: 777015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/39 in 5, -5, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 72 - 12. Find the third derivative of -s**2 + 132*s**y + 140*s**6 - 118*s**6 - 6 wrt s.\nAnswer: 18480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 377365 + -21.31.\nAnswer: 377343.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 485 = 18*n. Let g(b) = 4*b + 15. Let o be g(-6). Let v = 29 + o. What is the remainder when n is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(21*12\/126)*1\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ckkckkkkkkkkckkkkkck.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042261564 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1*(-24)\/20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 3469587*m**3 - 3469590*m**2.\nAnswer: 3*m**2*(m - 1156530)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 206*s - 374 - 1654 - 5594 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*c + x - 19, x + 9 = c. Calculate the greatest common divisor of c and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*o + 14. Let z = -9 - -14. Suppose -z*a + o = -10. Solve 5*h - 9 = -4*u, -a*u - u = -h + 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from vawaaaaaaaaaaaawa?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-65)\/(-10)*(109 - 1).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 760*a - 3675.\nAnswer: -5*(a + 5)*(a + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 920, 1900, 2932, 4010, 5128, 6280, 7460?\n\"Answer: -t**3 + 32*t**2 + 891*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/11 - 11388*k**2\/11 + 1526070*k - 1624901200\/11.\nAnswer: 2*(k - 2795)**2*(k - 104)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212*12\/(-3)*(-2)\/32?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 + 91. Suppose 0 = 4*f + 5*n - 2350, 3*f - 2091 = j*n - 346. Are f and 584 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2. Suppose 0 = 5*z - 0*z. Suppose z*n - n + 91 = 0. Let v(w) = 406*w. Let q(d) = -27*d. Let o(t) = n*q(t) + 6*v(t). Calculate m(o(u)).\nAnswer: -882*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 7449*q**2 + 14907*q - 7455.\nAnswer: -3*(q - 1)**2*(q + 2485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -0.0239?\nAnswer: 2.9761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2039011\/55 + -37074. Let v = 98\/5 - 27. Calculate the common denominator of a and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -9\/2. Sort -3\/8, t, -0.0229.\nAnswer: -3\/8, -0.0229, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2. Let x(h) be the first derivative of -2*h**2 - 4. What is z(x(q))?\nAnswer: 80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 2312 (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (6 - 3 - -1) - (-22 + (62 - 40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 5*x**3 + 0*x**3)*(1 + 14*x - 1) + 0*x**4 + 2*x**4 + 0*x**4 + 2*x**4 + 1 - 1 + 4*x**4 - x**4 - x**4 + (3*x**3 - 2*x**3 + 0*x**3)*(-x + x - x).\nAnswer: 61*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2046 + 2038. Put -0.13, w, -3\/2 in decreasing order.\nAnswer: -0.13, -3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**6\/9 - 44*k**5\/15 + 59*k**4\/3 - 88*k**3\/9 - 535*k**2\/3 - 700*k\/3 - 1640. Determine y so that q(y) = 0.\nAnswer: -1, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18251850 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (9\/3)\/3. Suppose -15 = 4*k - 7*k, -4*i - 2*k = 466. List the prime factors of (-1394)\/i - d\/14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**2 + 24*r - 108 = 0.\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/31 and 1\/(7 + 686\/(-91))?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.6854? (a) -0.1 (b) 80 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -118560.75 and 0.5.\nAnswer: -59280.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.02 (b) -3\/7 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857 is divided by 72.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -91. Let i = -27 + a. What is the closest to 0.1 in i, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/165 and 29\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 23639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 80*t - 168. Give z(39).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -353*h**3 - 3*h - 67 wrt h.\nAnswer: -2118*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43018.64ml in litres?\nAnswer: 43.01864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-16)\/(1 + 1) - 0. Let f be 12\/24 + i\/(-2). Let m be (-2)\/(-3)*(-2 + 1). Which is the closest to f? (a) 2 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24308 is divided by 2425?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*m + 75 + 53, 2*d - 4*m - 58 = 0. Let t be d\/(-6) - (-1)\/6. What is the biggest value in -2, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -8, 2, 0.4, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-10))\/(1\/(-5)). Let z(q) = 11*q - 2. Let a(n) be the first derivative of n**2\/2 + 113513. What is x*a(d) - z(d)?\nAnswer: -7*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**6\/120 - i**5\/15 - 5*i**4\/24 - i**3\/3 - 3*i**2\/2 - 3*i. Let c(s) be the first derivative of z(s). Give c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13591 or 13798?\nAnswer: 13591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3566 and 330.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 + -138. Which is greater: -6 or f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 21*a**2 - 29*a - 157. What is j(-11)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2. Let k(f) = -10*f**2 + 47782*f - 6*f**2 - 47782*f. What is b(k(m))?\nAnswer: -1024*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 2*s + 5. Let y be k(-5). Suppose -m + 54 = 4*h + 52, h + 3*m - 6 = 0. Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 27. Suppose m*f - 198 = -5*x + 5*f, -134 = -3*x - 2*f. Suppose x = 3*y + 15. Solve 5*w + y = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2214, -3351, -5448, -8505, -12522?\nAnswer: -17499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**4\/5 - 109571*h**3\/5 + 109563*h**2\/5 + 109571*h\/5 - 109567\/5 = 0.\nAnswer: -1, 1, 109567\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 93?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 80 = 4*b, 0 = n + 3*b - 16 + 1. Calculate the highest common divisor of 20 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(343) + 1 + sqrt(343) + -2)*2*-5*-1*-6 + -4)**2.\nAnswer: -2553600*sqrt(7) + 123572416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -971b?\nAnswer: 971b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92937.\nAnswer: 3, 13, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -1\/2, 8\/7, 0.02, -3, -18, 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1042917?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99.53 + -99. Let d = 0.03 - w. Let r = d + 0.8. What is the nearest to r in -1\/4, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-768)\/(-672) - (-123)\/21. Put k, -4, -320 in increasing order.\nAnswer: -320, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1186 in decreasing order.\nAnswer: 2, 1, -1186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**5 - 20*p**4 - 51*p**3 - 26*p**2 + 4*p + 4. Let o(b) = 5*b**5 - 20*b**4 - 50*b**3 - 25*b**2 + 5*b + 5. Let g(t) = -4*o(t) + 5*z(t). Factor g(j).\nAnswer: 5*j**2*(j - 6)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 899*f + 109315. What is l(-145)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4) - (-527)\/(-68). Is 3 - (0 - (-31962)\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 5*a**2 - 3*a - 4. Calculate x(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3910.51 + 3911. What is the fourth biggest value in 3, -0.5, o, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/25 (b) 7640\/7 (c) 49.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/4)\/((-6)\/(-18)*42\/182)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -10, 4\/15, -18, 68, 0.2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + s)*(-2*s - 3 + 3) - 13*s**2 - 5*s**2 + s**2 in the form u + y*s + j*s**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 o when three letters picked without replacement from {l: 4, m: 3, w: 1, o: 6}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6665904 is divided by 7751?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 290930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + r - 65857, -r = 2*j - 0*r - 26341. Let x = 23037 - j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1338 and 3.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b**2 + 111*b**2 + 30*b**2 + (b - 3 + 3)*(-3 + 3 + 2*b).\nAnswer: 153*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -122, -747, -1822, -3353, -5346, -7807?\n\"Answer: -l**3 - 219*l**2 + 39*l + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 39. Let i be -5 + 20 - (s + -2). Suppose -88 = -20*m + i*m. Calculate the remainder when m is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b*b**(1\/5)*b)*b*b)\/b)\/b**(-15)*b**17*b**(-2\/9)\/b*b*b assuming b is positive.\nAnswer: b**(1556\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {b: 1, z: 6, h: 8}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhh. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.921 - 3.621. Which is the fourth smallest value? (a) o (b) -2\/5 (c) 0.11 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 2:29 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-308)\/2695*30\/(-4)*-35.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25442 + 25474. Calculate the smallest common multiple of 13652 and d.\nAnswer: 109216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 5*q = -23*o + 19, -4*q + 38 = -2*o. Suppose 0 = -z - 0*z - 5. Put z, o, -1, 2 in descending order.\nAnswer: 2, -1, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346046 is divided by 86505?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15548 divided by -26\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -7. Let l be (-4)\/(-1)*3\/x. Suppose l*o - 33 - 35 = 0. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18201, 18199, 18197?\n\"Answer: -2*d + 18203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/125 - -1607\/375. Let w(a) = a + 7. Let b be w(-12). Let y = 9 + b. Is y less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2 - 3, 4*c = 2*g - 38. Let d = -10 - c. Let h = 4 + d. Solve q - 2*q = -h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5750 and 7000.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwwjwwjjjjwjwjwwwjj. Give prob of picking 2 j and 1 w.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-723)\/(-15) + -1 + -4. Let u be (-217)\/5 - (0 + 4\/(-10)). Let p = u + m. Sort -2, p, -1\/4 in descending order.\nAnswer: p, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 144 = -3*v + 499, 2*v - 230 = o. Calculate the remainder when v is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -0.2, 114, -0.1?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5314*u**2 + 2*u + 1945.\nAnswer: -10628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 419*a - 830*a + 410*a - 1. Let w(x) = -5*x + 6. Calculate w(b) + 5*z(b).\nAnswer: -10*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40118?\nAnswer: 2, 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2. Suppose -2*s + 3*k = -4*s - 8, -2*k = -3*s + 14. Suppose -5*l = 5*a, -5*l + 15 = -4*l - s*a. Let n(j) = 5 - l + 2*j**2. Determine i(n(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*x, 4*x = -3*w + 2*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g - 53 = 34*g. Calculate the remainder when 61 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 104 = 5*m - 274. What is the smallest common multiple of m and 276?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6640593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*2458.2.\nAnswer: -245.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/6708277, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 3*j + 774 - 810, 0 = k + 6*j - 2*j - 47 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Express -12*s - 2*s - 2*s - s in the form b + v*s and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:11 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 102 = 5*k - 2*k, 0 = -5*k + 4*u + 153. Calculate the remainder when 65 is divided by k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = 2*t, -2*t + b = -6 + 1. Let k(j) = 10*j**2 + 7*j + 6. Let x = 52 - 59. Let z(s) = -11*s**2 - 8*s - 7. Let d(i) = x*k(i) - 6*z(i). What is d(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2800) - sqrt(2800))*-4 - (sqrt(2800) + sqrt(2800) + 1*sqrt(2800) + sqrt(2800) + 3))**2 + ((2*sqrt(294))\/sqrt(7))\/(2*sqrt(486) - sqrt(6))*1.\nAnswer: 19042*sqrt(7)\/17 + 44849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73696166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**4\/24 - l**3\/3 - l**2. Let p = 8 + -12. Let y be k(p). Solve z + 3*b + 6 - 17 = 0, y*z - 3*b = -5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 351 = 483. Is r equal to -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 2. Suppose 0 = 366*o - 364*o + 72. Let g be (-18)\/o*(4 + -2). Let u(q) = -q - 1. Calculate g*n(j) + 3*u(j).\nAnswer: -5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g + 4. Let r(s) = -24*s + 6. Calculate 5*r(v) - 8*t(v).\nAnswer: 8*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**2 - 5*w**2 + 29*w**3 + 10*w**2 + 56*w**3 + 3*w + 2*w**5 wrt w?\nAnswer: 120*w**2 + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffdqpxi. Give prob of picking 1 p and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*l - 1 - 3, -4*l - 12 = h. Let y be (2\/3)\/(h\/84). Let j(a) = 2*a - 6. Determine j(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = i - 45. Factor 9\/4*k**2 + 4*k**i + 6*k**3 + 1\/4*k + 0.\nAnswer: k*(k + 1)*(4*k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1668, -4, -16, -2, 78 in descending order.\nAnswer: 78, -2, -4, -5, -16, -1668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13\/(z**(-1\/7)*z))\/(z*(z\/((z*(z*z\/z**(-6))\/z)\/z))\/z*z*z*z*z**9\/z) assuming z is positive.\nAnswer: z**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247467 is divided by 9893?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*f + 7, 0 = -2*s + 3*s - 2*f. Suppose -4*m = -5*x + s + 10, -5*m = -x - 6. What is the remainder when (-1)\/(0 - (-1)\/(-7)) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397331?\nAnswer: 11, 41, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3597997476.\nAnswer: 2, 3, 41, 283, 25841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*w**2 + 51*w**2 - w**3 - 112*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/660 - 19*z**5\/330 - 3*z**4\/22 - 3*z**2 + 14. Let v(w) = 0. Calculate w.\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*y - 246 = -36, 175 = -2*g + 5*y. Let p = g + 39. Let f be p\/(-10) - (-6)\/15. Solve -f*l - 5*v + 2 + 23 = 0, -3*l = 3*v - 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.204*26.8.\nAnswer: -32.2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven halves of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5276 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g - f - 170, 3*f = 6. Calculate the remainder when g is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*j - 16, 6*l - 3 = 3*l. Let o(g) = g**3 + 9*g**2 - 2*g - 13. Let u be o(j). What is v in 4*v**4 - u*v**4 - v**4 + 4*v**3 - 2*v**3 - 4*v**5 = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 22 = -4*v - 0, -4*v = 2*a - 10. Let z = a + 14. Calculate the greatest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101474 is divided by 7787?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 14*k**2 + 15*k - 17. What is the tens digit of z(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162760233.\nAnswer: 19, 787, 77761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38939887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-4 - -5) + 11 + 30 + -4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.753297 rounded to 2 decimal places?\nAnswer: -1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 74*r - 16 + 13*r.\nAnswer: -61*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7120*m**4 - 355*m**3 + 1089723*m + 3?\nAnswer: 85440*m**2 - 2130*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12)\/(3\/(-9))*(-240)\/(-45).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155 * -89642.\nAnswer: 13894510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 185b (base 15) to base 13\nAnswer: 2519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374359 is divided by 11343.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2365*d + 1852*d - 1700*d - 2810*d - 988*d to u + b*d and give b.\nAnswer: -6011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00846098 to 5 dps.\nAnswer: 0.00846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, n: 4}. Give prob of picking 1 n and 1 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14bb (base 16) to base 2\nAnswer: 1010010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-14)\/(p*((p**(7\/6)*p)\/p)\/p*p))\/(p**(-1\/4))**(-6))**10 assuming p is positive.\nAnswer: p**(-530\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*g - 5, -2*d + d - 1 = 5*g. Let a(z) = 9 + 8*z + 0*z + z**3 + 11*z**2 + 6 + 3*z. Let i be a(-10). Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 988.5082 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-5))\/((-3)\/(-15)). Let c be (-1 - 2)*s\/3. Let t be (-1)\/(-4) + 1*(-268)\/(-16). Solve -3*m - f - t = c*m, 0 = -m + 4*f + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 7037*r**2 + 13 - 56 + 19.\nAnswer: -7037*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtttrr. What is prob of picking 3 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 14*y - 11. Let j(n) = 14*n - 8. Let r(k) = -3*f(k) + 4*j(k). Let g(c) = 14*c + 1. What is 5*g(u) - 4*r(u)?\nAnswer: 14*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4780772ml?\nAnswer: 0.0004780772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -116776 + -332?\nAnswer: -116aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/132)\/((-2)\/(-18)))\/(123\/(-656)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:37 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 5*k - 22. Let z be s(-6). Let a = z - -137. Calculate the greatest common factor of 182 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -527 + -1217?\nAnswer: -1745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/254370 and 71\/156.\nAnswer: 6613620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 91*j - 115*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 0, 82 in increasing order.\nAnswer: 0, 2, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 97 and -263.98.\nAnswer: -166.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1754 and 140627978.7.\nAnswer: 140626224.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23531333 to four decimal places.\nAnswer: -0.2353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b8 - 264?\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -1122, -2417, -4224, -6543?\nAnswer: -9374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*s**3 - 14*s**2 + 106 - 106 + 98*s**2 wrt s?\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 112967.\nAnswer: 2598241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 6:06 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/11 and 82\/(-18) + (-3)\/(-1).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 5966432*v**3 + 2225216589664*v**2 + 240271199856000*v + 6486852681000000.\nAnswer: 4*(v + 54)**2*(v + 745750)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/139, -5, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/3)\/(-1 - 4)*3\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -14 + 2 + 6*m - 9*m + 0*m. Let r(w) = w + 1. Suppose -25*d + 6*d = -15*d + 8. Calculate d*r(c) - u(c).\nAnswer: c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0*(w**1\/w)\/w*w**0*w**(-7\/2)*(w**(3\/5)*w)\/(w*w*w**(-3\/2))*(w\/((w\/(w*w\/(w\/(w*w**(-1\/2)))))\/w))\/w*w**(-7) assuming w is positive.\nAnswer: w**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 25 = -5*s, -a - 4*s + 267 = 247 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 4*k + 374. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*a = -320*a - 110*a + 11808 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167294 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**5\/15 - j**2 - 1. Let g(r) be the second derivative of o(r). Let l(z) = z + z - z + 0. Give g(l(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -7 - 3. Let a be -2*t\/12*-6. Solve -3*y = i + a*y - 15, i - 2*y + 6 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - -5*sqrt(56)\/sqrt(4))\/(1*sqrt(2)*-4)*1.\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90*c**5*u + c**4*u**2 + c*u**2 - 27*c - 9*u**2 wrt c?\nAnswer: -1800*c**3*u + 12*c**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10277 + 10277.4. Which is the nearest to 1.4? (a) m (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + -1.4. Let x = 359 - 368.9. Let r = 9.7 + x. Which is the third biggest value? (a) o (b) -0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 456 (b) -1\/5 (c) 3 (d) 5\/4 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7463, 14952, 22441, 29930, 37419?\n\"Answer: 7489*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680\/544*38\/113715*-18?\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38636124 to the power of 1\/2, to the nearest integer?\nAnswer: 6216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 545*k**2 + 9*k + 8. Let c be p(-1). Let r(j) = j**2 - 1. Let w be r(-2). Differentiate 6*o**4 + c*o**w - 1 - 544*o**3 wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**3 - 35010*d**2 + 20*d + 140040 = 0 for d.\nAnswer: -7002, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 893950 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 12:07 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + -26 + -29 - (6 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.3 - -14478189.\nAnswer: 14478183.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + z - 430. Let u(x) = 9*x**2 + 3*x - 859. Give -7*q(f) + 3*u(f).\nAnswer: 6*f**2 + 2*f + 433","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -617\/77030 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21416 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.37785 + 0.3778476557. What is t rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1236 and 43608?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9882 - 158039\/16. Calculate the common denominator of y and 31\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60207 = 883*g + 104*g for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.47 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 + -0.2. Is 1.4 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76908915?\nAnswer: 3, 5, 1709087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -19) + -57 + -7 + 75\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (25 - 24)*0*2\/(-4). Suppose 5*o + 3*a - 1749 = s, -3*o = -4*o + 4*a + 359. Is 39 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -9 in decreasing order.\nAnswer: -4, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6996)\/(-110))\/(2\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66900 and 10035.\nAnswer: 200700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -520.0000229 + 520. Round u to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.990798 centuries in millennia?\nAnswer: 0.1990798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 370\/214429?\nAnswer: 370\/214429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1573)\/(-176) - 10)*28. Let o be 3*(-29)\/(-3)*-1. Which is smaller: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/((n*n**(-12))\/n*n)*n*n*n)**(-12\/11)\/(n**(-2\/3)\/n*n**(-2\/113)))**(-5) assuming n is positive.\nAnswer: n**(314375\/3729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208766148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 19280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4199*i - 9050 - 5269 = 14078 - 7402 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6539 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - 3*sqrt(242))*-4 + -4.\nAnswer: -4 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20316452.42 rounded to the nearest one hundred thousand?\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 31*j**2 - 269*j - 139. Give b(-38).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 52607121467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6572577 minus -29?\nAnswer: 6572606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.36 + -5.93. Let q = -131.37 + 130. Let b = q - h. Round b to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 522 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 34*x - 192. Calculate t(-22).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 3:22 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + ((sqrt(2) - sqrt(2)*-6) + -4)**2 + 5 + (-2*sqrt(14))\/sqrt(7) + -4.\nAnswer: -58*sqrt(2) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(2\/10)\/(24\/24)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4678 + 30664.091?\nAnswer: 35342.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 3*v + 0 + 25\/42*v**7 + v**4 + 0*v**2 - 11\/20*v**5 + 2\/3*v**3 - v**6. Factor i(z).\nAnswer: z*(z - 1)**2*(5*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**3 - 4*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10*8\/(-16) - -763?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2 - 3 - 2*p**2 - 3*p**2 - 1 + 7*p. Let k(c) be the third derivative of -c**5\/15 + c**4\/4 - 5*c**3\/6 - c**2. Give 7*k(n) - 6*x(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*-10*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2501 (base 11) in base 12?\nAnswer: -1a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z**2 - 2*z - 6. Let n(u) = 14*u**2 - 2*u - 7. What is 6*d(m) - 5*n(m)?\nAnswer: 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*k**2 + 88*k - 3647?\nAnswer: -30*k + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3680967?\nAnswer: 3, 83, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 + 78 - 142 + 32)*(35*m + 46*m - 36*m).\nAnswer: 1890*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.33 + -17.63. Sort -4\/7, 5, l in descending order.\nAnswer: 5, l, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26310\/(-6)*8\/(-20)?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-302355)\/(-30)*2 + 15?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 16 = y - 4*g, -3*g = y - 16. Suppose 15*c - y*c = -83. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/56416 and -103\/29830304.\nAnswer: 1223042464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000870102587 rounded to seven decimal places?\nAnswer: -0.0008701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (378\/735*(-21)\/(-9))\/(4\/(-10)) - -34?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -3\/8 (c) 2 (d) 0.06 (e) -4 (f) 66\/3515\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -f - 28, -2*b + 3*f + 52 = 2*b. Let x(k) = 2*k**2. Let u be x(-1). What is the greatest common divisor of u and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 364*z - 717. What is l(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*q**2 - 16 + 36*q + 27\/4*q**3.\nAnswer: (3*q - 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.429 + 583?\nAnswer: 607.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234099, 468208, 702317, 936426, 1170535, 1404644?\nAnswer: 1638753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:00 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31133852777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n - 20*n - 21*n - 28*n + n + 91*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33021 = -5*j - 6736. Suppose -11*k + j = -10638. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02131 + 2.28969. Round b to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a minute in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -28*j + 7. Let w(b) = b**3 + 5*b**2 + 2*b. Let l be w(-5). Is g(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217 - -217. What is the closest to 0.3 in -1\/6, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19 and -1.1.\nAnswer: 0.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13715, -5 in ascending order.\nAnswer: -5, 0, 13715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7524356 and 115360.\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1974141 to the nearest integer?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -1 + (5 - 9). Let j be (-4 + 3)\/(r\/24). Solve -5*u + 4*q = 21, 4*u - 2*q + j = 3*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 3*z**2 - 2*z + 1. Let q = -5 + 2. Let a be (-9)\/(-6) - q\/6. Calculate r(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/4*4\/5*-5. Suppose -3*s = -u*f - 27, 4*s - f - 29 = -s. What is the remainder when 8 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 5*b**2 + 2*b + 11. Let y be x(-5). Suppose 3 = 2*o - y. Solve -4*f = -4*m - 20, 4*m + 2*f = o - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458173 at most 2458173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/491379 and -13\/126.\nAnswer: 2948274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 294*g**2 - 2373*g - 2670.\nAnswer: -3*(g - 89)*(g - 10)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238177 divided by 1247.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let l(g) = 53*g. What is x(l(p))?\nAnswer: -53*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4852 and 4.\nAnswer: 4852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 4}. Give prob of sequence ggv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozbaazoobo. Give prob of picking 2 b and 1 z.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/8 and -89\/360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1593 - 14 - 536 - 1014 + 513)*(-3*r + 3*r + 4*r).\nAnswer: -10576*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)\/((-4)\/(-12)). Let f = 0 - t. Let r(s) = -566667*s**3 + 4*s + 3. Let k be r(f). Round k to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1795 - -2828. List the prime factors of q.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 566 + -558. Solve 68 = t*d + 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddtkcckddkkdccd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8 = g, 4*a + 3*g = -g. Let x(o) = o - 2 + 4 - o**3 + 5*o**2 - 5*o. Let v be x(a). Is 3 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -139, -189, -239, -289, -339?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(25\/(1375\/66)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwfm when four letters picked without replacement from mwmfwmffmppphpwwpwap.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-696)\/(-180) - (-4)\/30. Suppose -n + w*d + 5 = -1, -80 = 5*n + 2*d. Let c = 20 + n. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-164)\/(-20))*(-4 + -1). Suppose -2 = 22*y - c. Solve 4*u = 2*j - u - 19, 0 = y*u + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2406 and 108?\nAnswer: 43308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.917097 millennia to decades.\nAnswer: 391.7097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.092 + -16. Let w = t - 0.051. Let v = w + -6.041. Put v, 1, -2 in descending order.\nAnswer: 1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7312195 is divided by 337?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 88565802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 4 - 4)*(-160 + 56 - 277).\nAnswer: 381*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -302*k + 125*k + 176*k. Let d(l) = 45*l - 53. What is n(d(p))?\nAnswer: -45*p + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**4 + j**4 + 5*j**4)*(-j + j - 2*j + (-3 + 2 + 3)*(-6*j + 3*j + 2*j) + 1 - 1 + j - 34 + 34 + 5*j).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1134 - 4356036292\nAnswer: -4356036291.8866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 307680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h + 5. Let d(f) = 1. Determine -6*d(g) + z(g).\nAnswer: 9*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 179 + 120 = 289 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 12:25 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + -106 + 9 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w**4)**(-1\/80)\/((w*w**(-2\/5)*w)**(-6))**(-20\/7) assuming w is positive.\nAnswer: w**(-3079\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 3) + 13 + -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 46*v - 460. Let c be f(-14). Is 2 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -32. What is the closest to x in 5, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 3642697 - 3642697 + 4*c + 95*c**2 - 102*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15352 and 11096?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -31 + 10. Suppose 2*t - 90 = -s*t. Suppose -828 + 8138 = t*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 7. What is j(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 33 = -11*j. Let r = -38 + j. Let k(h) = -10*h - 5. Let q(c) = -7*c - 3. What is r*k(o) + 7*q(o)?\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 8*b**2 + 10*b - 4. Let m = 28 - 20. Let u be a(m). Suppose -u + 4 = -2*v. What is the remainder when v is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/79?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6339 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 1304*m.\nAnswer: 4*m*(m - 326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/2979 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 557*u - 36971. Calculate w(169).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1938 - 1982 = 0. Solve 0 = -0*i + r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(((p**(-2)*p)\/p)\/p)))*p)\/p)\/(p\/((p\/(p\/(p\/(p\/p**(2\/9))*p)))\/p))*p**(2\/3)*p\/(p*p\/p**3) assuming p is positive.\nAnswer: p**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14423, -57702, -129835, -230822, -360663, -519358, -706907?\n\"Answer: -14427*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/30 - 27\/(-5). Suppose w = v + 5. What is the least common multiple of 2 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/10*15\/6. Let o(u) be the first derivative of -u**2 - u - 2. Let z be o(g). Solve z = 4*i - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + i**3 + 542*i - 539*i + 3)*(4 - 3*i - 4).\nAnswer: -3*i**4 - 9*i**2 - 27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10272744 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.717655ng to micrograms.\nAnswer: 0.001717655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -385 - -388. Factor -82*y**2 + y**4 - 105*y**2 + 247*y**2 - 5*y**a - 6*y**4.\nAnswer: -5*y**2*(y - 3)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 9159 + 9059 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*r + 56*r - 1 + 7*r**2 + 56*r - 1 in the form v + b*r + j*r**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1490527 - 31688.\nAnswer: -1522215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 8. Let o be s(23). Which is bigger: -3\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {r: 2, y: 2, w: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18400957 rounded to 4 dps?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -16*j + 159. Let r be t(9). Let b(g) = g - 8. Give b(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 10:09 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4449, 4467, 4485?\nAnswer: 4503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 149, 276, 403, 530, 657, 784?\n\"Answer: 127*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m - 368 = -46*m. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 - d**2)*((-d + 3*d - 4*d)*(1 + 2 - 1) + 2 + d - 2)*(3 + 2*d**2 - 3).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y + 17*y - 83 + y**2 - 57*y + 13*y + 14*y to j*y + v*y**2 + f and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*w**2 - 7 - 3*w**2 + 7*w**2 + 5*w**2 wrt w?\nAnswer: 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.95 + -4.95. Let x = -0.9 - r. Which is the nearest to 0? (a) 2\/7 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 37*x**2 - 8*x - 38. What are the prime factors of u(-37)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91046539 + -29046539. Suppose -s = -5*s + z. What is s rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4 - 233730*a**3 - 934865*a**2 - 1168560*a - 467420 = 0. Calculate a.\nAnswer: -46742, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03849 - -32.33849. Which is the third biggest value? (a) l (b) -2\/5 (c) -0.5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 30009*z**2 + 30012*z.\nAnswer: -3*z*(z - 1)*(z + 10004)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 354*r**2 + 19932*r - 235224.\nAnswer: -3*(r - 22)**2*(r + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4*c + 16, -2*c - 8 = -3*n - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/33, 28, 44, -2, -0.2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 446 - 446. Let w = -0.17 + 10.17. Which is greater: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*j + 18, -3*j + 4*m - 6*m + 43 = 0. Let p(s) = 7*s - 68. What is p(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22120 (base 3) to base 10\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 634846 divided by -746.\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005331068 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 21. Is 5 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*a**3 + 8*a**2 - 33*a - 3*a + 1 + 7 - 16*a**4 - 28*a**3 = 0. Calculate a.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:52 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4751 - 17*h + 4751 + (-3 - 3 + 4)*(2*h + 2 - 2) + 2*h - 2*h + 2*h - 6 + 4 + 14*h + 2.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3300 - -1.\nAnswer: -3299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + 52*k**2 + 130*k - 35. What is d(-24)?\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25473 + 31787.6. What is z rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 16 - 65. Let t = 53 - y. Solve -t*n - 3*d + 3 = -n, n - 4*d = 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319*j**5 - 15*j**2*x**3 - 19*j*x**3 - 169*x**2 wrt j?\nAnswer: 6380*j**3 - 30*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3179.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfsgxqsy. What is prob of picking 1 f, 1 y, 1 x, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgegllb. What is prob of sequence gg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.52538 millennia to decades.\nAnswer: 1852.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*w, 4*i + 5*w - 666 = -129. Suppose 0*f - 9 = -3*f. Suppose 0 = -x - m + i, 4*x - 510 = m - f*m. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5590044 divided by 931674?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 490 - 325. Calculate the remainder when n is divided by (-1)\/3*-3*(20 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12284 is divided by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543426 is divided by 1174.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-187)\/(944350\/(-200)))\/(-2)?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 12, 3, -5, 4 in decreasing order.\nAnswer: 12, 4, 3, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10868.04 - 10764. What is o rounded to zero dps?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 + -0.11. Let w(q) = -q**3 + 25*q**2 - 14*q + 1035. Let g be w(26). Which is the biggest value? (a) 0.5 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 13.8. Let b = -0.21 - m. Let k = -0.07 + -2.93. Sort 2, k, b in descending order.\nAnswer: 2, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(26)\/(sqrt(8)\/sqrt(4)).\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - z + 4)*((-2*z**3 + 0*z**3 + 3*z**3)*(2 - 2*z - 2) - 2*z**4 + 0*z**4 + 0*z**4 + z**3 - z**4 - z**3 - 5*z**4 + 8*z**4 + 3*z**4).\nAnswer: -z**5 + 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + f. Suppose -5*o - 5 = 2*k, 3*o = -o + 4. Let u = 808 - 807.6. What is the closest to f in k, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1911\/(-6))\/(8\/(-160)*2) + -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 27*f**2 - 18*f**2 + 17*f**2 - 223 - 109)*(-4*f + 7*f - f).\nAnswer: 52*f**3 - 686*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + m + 4419 = 0, -2*m - 4422 = w - 4*w. Suppose 4*d - w = -324. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -23*v**2 - 2689*v + 2945. Calculate b(-118).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380, -326, -272, -218, -164?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28275*l + 28493*l + 6323 + 19837 for l.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(4\/4)*(60\/(-6))\/410\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6352.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15703*g**2 - 11*g**3 - 15703*g**2 + 0*g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1487499*v**3 + 3*v**2 - v - 6. Let p be g(-2). Round p to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - c**2 - c. Suppose 0 = 3*k + 9*k - 36. Let r(l) = -25*l**2 + 0*l**3 + 2*l - l**k + 0*l**3 + 27*l**2. Calculate 6*d(z) + 3*r(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.15096 - -0.4.\nAnswer: 42.55096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 18. Let c be ((-3)\/(-3))\/(2\/(-4)). Sort c, g, -1.\nAnswer: c, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9931 or 11524?\nAnswer: 9931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*3\/(-10)*400\/(-600)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + t - 3. Let a(h) = -16*h**2 - 2*h + 13. Let l(k) = 6*a(k) + 23*c(k). Give l(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1576 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 51519*h**2 - 412371*h + 463887.\nAnswer: 3*(h - 17181)*(h - 1)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20*(-5)\/(-10))\/(-2). Is -11 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 23*h**5\/60 + 4*h**3\/3 + h**2. Let o(i) = -8*i**2 - 3. Let w = 31685 - 31702. Give w*o(x) - 6*d(x).\nAnswer: -2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zff when three letters picked without replacement from {b: 1, e: 1, z: 2, n: 2, f: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-11)*(-37532)\/(-6824)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by (-10)\/(-4) + (-225)\/(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r - 3*p = -20, 2*p + 15 = 3*r. Suppose -4*h + 15624 = 4*m, -r*h - 3*m + 8*m + 19540 = 0. Is h 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 29\/233608 and 63\/116804?\nAnswer: 233608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*r + 0)*((4 + 1 - 3)*(2*r - 3*r + 2*r) + 0*r + 0*r + 2*r - 7*r + 6*r - 6*r) as w + p*r**2 + h*r and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*c = 0. Suppose u - 3 + 1 = c. Sort -2, u, 5 in descending order.\nAnswer: 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*i + 140*i + 900 = 0. Solve -168*j = -150*j - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p. Let d(z) = z. Suppose 2*r = -3 + 1, -3*w + 2 = r. Let t(m) = w*g(m) - 2*d(m). Let j(x) = 11*x. Give j(t(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/7 - 376*i\/7 - 760\/7 = 0.\nAnswer: -2, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*h + 12 = 0, 22*h + 46 = 43*k - 14*k - 12*k - 19*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -12. Suppose 17 + h = 4*v. Let b(i) = i**3 - 6*i**2 + 6*i - 5. Calculate b(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 2*u + 4, -u + 5 = 19*i - 18*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 7. Let x = 3 + -2.9. Let r = 1150\/12369 - -8\/651. Which is the nearest to 7? (a) r (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.5. Let s = -51 - -56. What is the smallest value in s, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((-1)\/(-12)). Let p(u) = -2*u + 8. Let h be p(f). Let t = 5 + h. Which is smaller: -2\/7 or t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lww when three letters picked without replacement from {l: 2, p: 6, x: 3, w: 5, b: 3, q: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 12*y - 5*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 198.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16094581.\nAnswer: 16094581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 150*n - 1739. Is h(59) a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 14\/(-4))*2. Let z = k + 2. Suppose -z*d = 8 - 28. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*u - 42 = 0, 7*g - 4133 + 4190 = 9*g + 3*g + 4*u for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of ((-4)\/14*-21)\/((-8)\/(-31628))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 - 37202976*x + 74405964 = 0 for x.\nAnswer: -12400994, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*j = -46, -2052*j + 2051*j - 46 = -4*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a (base 16) in base 15?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*d**4 + 5*d**3*j - 87*d**3 + 81*d*j + 2*d + 156*j - 2 wrt d?\nAnswer: 1356*d**2 + 30*d*j - 522*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -10*s**3 - 48*s - 223. Give d(-4).\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {r: 2, j: 5, i: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5\/5 + 9*d**4\/5 - 19*d**3\/5 - 21*d**2\/5 + 92*d\/5 - 12 = 0.\nAnswer: -2, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7873 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (436\/(-1526))\/(2\/(-42))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 67 + 167*p**3 + 67 + 3*p in the form z*p**2 + w + s*p**3 + u*p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -9.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + 4 - -2*-3*sqrt(3).\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*65)\/(-7*(-1)\/21). Let s be (-130)\/h + (7 - 1) + 0. Factor -s*i**2 - 2\/3*i**3 - 16\/3 - 34\/3*i.\nAnswer: -2*(i + 1)**2*(i + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.212 and 10.79676.\nAnswer: -2.28891312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 3:36 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-3*v**4 - 5*v**4 + 6*v**4)*(3 + 0 + 0).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -4503?\nAnswer: -4491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.062801264 - -0.837198156. Let y = 0.96 - 0.06. Let w = y - i. Round w to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 1. Let f(h) = h**2 + 13*h + 7. Let d(t) = -f(t) - 4*i(t). Let u be d(-11). Let z = 27 + u. Solve -5*a + z*a = -12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7312907 and 4165?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 r when three letters picked without replacement from {r: 1, o: 1, f: 2, h: 2, b: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -76 + 15\/6 + (-1)\/2. Let v = 168 + t. Suppose -m + 48 = 2*n, 0 = -5*n - 4*m + 8*m + v. What is the remainder when 43 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 72\/20 + 3\/(-5). Suppose 2*q + 4*x = 56, -96 = -3*q + v*x + 33. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 409 - 408.414. Let h = -0.014 - c. What is the biggest value in -0.1, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2737007900989 + -0.4.\nAnswer: -0.6737007900989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d**2 - 9. Let p(v) = -v**2 - v - 1. Let u(m) = b(m) - 2*p(m). Is 8 a factor of u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) 41.62 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 1, u: 1, q: 1, r: 1, x: 2}. Give prob of sequence grux.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98484, 196947, 295410, 393873, 492336?\nAnswer: 590799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.095396l to millilitres.\nAnswer: 8095.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26160 + 87473. What are the prime factors of y?\nAnswer: 7, 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/3530 and 149\/510?\nAnswer: 180030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k - 86 + 16*k + 25 + 34. Calculate a(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15946 = 15*x - 17879. Suppose -7*y + 489 = -x. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*a - 399. Let l = -265 + a. Let t be (l - -1) + 3 + 0. Round t to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 6*x + 3. Let d be n(-2). Let i(j) = -2*j - 3. Let o(q) = -q - 2. Let l(z) = d*o(z) - 4*i(z). What is l(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -605, -0.1, -1\/2, 0.5, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*-6*(sqrt(153) + 4*(-2*sqrt(153) + sqrt(153))))\/((-1*sqrt(90))\/sqrt(10) - sqrt(441)*-1))**2.\nAnswer: 34425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*n + 47. Suppose 3*o + 0*o + 15 = 3*i, i + 3*o = 5. Let j = -1895 - -1896. Solve n = -i*h + j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + y**2 + 0*y**2 + 9 in the form u*y**2 + r*y + j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwbbwwccbcbbwcw. Give prob of sequence bw.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7800 and 416.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*y + 12 = 92, -4*j + 5*y = 64. Let h = -10 - j. Suppose 2*b + 4*a + 4 = 0, 4*b + h*a - a = 7. Calculate the highest common divisor of b and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 4 (b) -89 (c) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/24*2*(-6)\/5. Let g(y) be the second derivative of 12*y + 1\/3*y**3 + 0 - 1\/2*y**2 - 1\/6*y**4. Give g(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27232 + -41198. Let h = -251489\/18 - y. Find the common denominator of h and (-70)\/(-36)*(-33)\/15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -11. Let i(x) be the first derivative of 6*x - 1 - 1\/2*x**2. Determine i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -108. What is the units digit of (14 - 37)*s\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/23511 and 11\/3621?\nAnswer: 1669281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/8, 120 in increasing order.\nAnswer: 3\/8, 1, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 547\/7?\nAnswer: 547\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160016 is divided by 344.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 12) to base 5\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**2 + 25*n + 420 = 0.\nAnswer: -7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-4))\/(16\/256) + -2. Put 5, 4, h, 1 in ascending order.\nAnswer: 1, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -7*u - 76, -76 = 3*u - 4*z - 25 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**6 + 20829*d**4 - d**2 + 236982.\nAnswer: 600*d**3 + 499896*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5 + 17. Let g(z) = -z**3 - 12*z**2 - 2*z + 7. Let o = -206 + 218. What is the remainder when g(a) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18632149 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 1753 = -1693. Solve -2*d = -7*x + f*x - 10, 2 = 2*x + d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6031 - -706?\nAnswer: -5123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1355, -10235, -34113, -80417, -156575?\nAnswer: -270015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10112463791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Let y be (-4)\/(-18) + 61\/9. Suppose -20 = -5*c + 5*q, 44 = y*c - 2*c + q. What is the smallest common multiple of d and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611 (base 8) in base 15?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, i: 17}. Give prob of sequence iiz.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -128, -129, -134, -143, -156, -173, -194?\n\"Answer: -2*j**2 + 5*j - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3de + -1b1?\nAnswer: 22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.46538378 rounded to four dps?\nAnswer: -7.4654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**4\/12 + 2*h**3 - 2*h**2 + 166. Let b(i) = -2*i - 1. Determine b(z(n)).\nAnswer: -4*n - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -77*f**2 + 7251*f + 61523. What is o(102)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2*i = -15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/35)\/((-8)\/1340). Let k = c + 138. What is the remainder when 17 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 592 + -592. Suppose y = 101*l - 93*l - 360. What is the smallest common multiple of 100 and l?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (742\/4 - (-3 - -3)) + 41\/(-82). Is 198 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 13 = u + 24*l, 0 = 3*u + 5*l + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 0.258?\nAnswer: 0.3612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -716, -2, -73?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 6:32 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1375.9 - 1376. Which is the nearest to q? (a) 6 (b) 1 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -682 - -820.2. Let d = 145 - y. Round d to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 5572 = -1523. What is the highest common factor of z and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from vvegggvgggvoc?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*r + 14 - 1, r - 3 = -y. Let d be r\/2 + (-2 - -4). Let v be -4 + 6 + d + -5. Solve v*s + 7 = s - 5*l, -2*s + 3*l = -7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3 (b) -2\/23 (c) -2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (8\/(-10) - 299\/1495).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 312035933?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 355052, 7, 3 in decreasing order.\nAnswer: 355052, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 245374.5 centuries in months?\nAnswer: 294449400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*q - 1 - 500*q + 1.\nAnswer: -574*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 9*x + 116. Let s be a(-7). Let f(r) be the second derivative of 0 + 1\/3*r**3 - 6*r + s*r**2. Determine f(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 256 + -1788\/7. Which is the second smallest value? (a) 3 (b) 12 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/14*(-115)\/(-23)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(14\/9))**(-11\/5) assuming l is positive.\nAnswer: l**(-154\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 3*q**3 - 83 - 7*q**3 + 2*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 940, 1847, 2832, 3895, 5036?\nAnswer: 6255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 7:46 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -106 - 111*m - 63*m + 3*m + 78 as s + g*m and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 9. Let d be r(-6). Suppose -d*z = -0*z. Solve -5*h - 3 - 7 = z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:34 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4703\/11 - -427. Which is the nearest to 0.17? (a) -10 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-3)\/(-12)). Suppose 0 = 4*v - 3*s - 0*s - 15, -s = 3*v + 5. Suppose -4*z + z + 12 = v. Solve g = -z*q + 15, -4*g = -0*q + t*q + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110342103 (base 5) to base 3.\nAnswer: -22020220001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 6*y - 18. Let h be -15*(y\/(-15) + -2). Suppose -5*q - 37 = -517. Calculate the highest common divisor of h and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*43\/(-15)*-3. Suppose -d - w*u + 85 = -41*u, 3*u = -2*d + 173. Sort 1, 0, d.\nAnswer: 0, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (967*r - 353*r - 330*r)*(-1 + 3 - 4) as o + b*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1\/5 (b) 0.068 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + i, 0 = 4*a - 7*a - 4*i + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z**2 + 2*z)*(4 - 28*z + 26*z - 3 + 2*z**3).\nAnswer: 2*z**5 - 2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by -57?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1023 divided by -93.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/62 and 31\/4776532.\nAnswer: 148072492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + (-781)\/(-66))\/(20\/18)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - -38. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-4))\/(d\/(d*d**7)))\/(d**1*d\/d**(-5\/2)) assuming d is positive.\nAnswer: d**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/3 (b) 0 (c) 0.1 (d) -61\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-18)\/(-8) - (-3)\/(-4). Which is smaller: m or -3\/163?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 0, -29, 13.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 59. Let n be b(-11). What is the tens digit of (-7)\/(n\/(-312))*280\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -0*c - c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 70, 134, 198, 262?\n\"Answer: 64*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 - 4.49. Let x = t + 4.89. Let p = x - -0.81. Which is the third biggest value? (a) p (b) 0 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 570\/18 + (-1)\/(-3). Suppose -36 = 3*m + 33. Let z = m + g. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-40))\/(-5*(-6)\/(-600)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(3)*1 + 2 + 4.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -28*n**5\/19 + 202*n**4\/19 - 402*n**3\/19 + 148*n**2\/19 + 80*n\/19 = 0.\nAnswer: -2\/7, 0, 1, 5\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:40 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25225845507 take away 0.04163?\nAnswer: 25225845506.95837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88218\/(-261)*109\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (-5 + 2) - 1. Let d(f) = -2*f - 1. Let u be d(a). Solve 0 = -u*y - 0*y + 3*z, 5*y - 20 = z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-24))\/((-60)\/(-108)))\/(15\/(-4))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 48, 27, -32, -141, -312, -557?\n\"Answer: -2*o**3 - o**2 + 22*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40517\/15 + 2701. Which is the second biggest value? (a) 2\/69 (b) l (c) 2\/19 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 0.5 (b) 85 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231 + -381. Let n = p - -611.999999553. Round n to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20201 and 723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*c + 5*c + 45 = 0, 12 = 4*c. Let u = -189 + 141. Let b be (-5)\/(30\/u) - 5. Solve -b*f = -2*f + 4*t + v, 2*t + 10 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 630175363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + -5. Suppose -3*l = -35 + 143. Let a = y - l. What is the greatest common factor of a and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29259453 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347078861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 107077, 107079, 107081, 107083, 107085, 107087?\n\"Answer: 2*q + 107075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3701020 is divided by 3679?\nAnswer: 3625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-2)\/4*-14. Let h = 118 - 84. Let z = h - k. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 164 = -92 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51478, 51339, 51092, 50725, 50226, 49583?\n\"Answer: -2*t**3 - 42*t**2 + t + 51521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*a**2 - 9*a - 41*a**2 - 37*a**2 + 2*a + 117*a**2 + 442 in the form z + j*a**2 + n*a and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 153?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = -119*u + 121*u + 5*b, 5*u - 4*b = 437. What is the highest common divisor of 102 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -3, -7, 0, 595 in descending order.\nAnswer: 595, 3, 0, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 281*h + 14. Let q(r) = -r**2 - 279*r + 12. What is 6*o(w) - 7*q(w)?\nAnswer: w**2 + 267*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1657*g - 144155. Give y(-87).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2256 and -125\/5076.\nAnswer: 20304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12536, -3, 0, -5 in decreasing order.\nAnswer: 0, -3, -5, -12536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 4*u**2 + 4*u - 4. Let h(c) = c**3 + 12*c**2 + 9*c - 7. Let j be h(-11). Let l = -11 + j. List the prime factors of m(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7124785709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -100*c**2 - 62*c - 2. Let p(w) = -19*w**2 - 12*w. Let r(q) = 3*f(q) - 16*p(q). Calculate r(-5).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2. Let b(n) = 69*n**2. Determine b(c(m)).\nAnswer: 69*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -220 - 98762?\nAnswer: -98982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1729 + 365 = 0. Let d = 233 + -214. Calculate the remainder when g is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 23*h - 2*h - 7*h - 5*h - 8*h. Let g(n) = -4*n - 6. Let b(s) = 4*s + 5. Let p(y) = -3*b(y) - 2*g(y). Calculate 3*a(j) + p(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 27. Let q = -251\/4920 + 1\/984. Which is the smallest value? (a) -1\/6 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) - 4675\/6930 - (-2)\/(-18). What is the fourth smallest value in 5, a, 1, -19, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -16. Let j = -27 - -30. Let i be ((-1)\/j)\/((-2)\/x). Let g(c) = c. Let m(r) = -3*r - 2. What is i*m(f) + 4*g(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = 2. Let p(q) = -1. Let d(k) = -k + 5. Let o(j) = -j**2 + 5*j - 5. Let i be o(4). Give i*d(f) + y*p(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6459433301346 and -0.2.\nAnswer: -6459433301346.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -4. Let v be 26\/13*(-10)\/(-4). Put v, 4, z in descending order.\nAnswer: v, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 420.5214l?\nAnswer: 420521.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 85*x - 11 + 103*x - 2. Is w(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5 = s + 5*a, -s = -3*a - 11. Let c be (6*1)\/(2\/s). Let f = 26 - c. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a. Let r(c) = -12*c + 5. Let g(s) = s - 1. Let n(l) = -5*g(l) - r(l). Determine n(j(o)).\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725 - 2*b**2 + 1449 - 724 + 0*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*q - 13, -11*g + 15*g = -5*q + 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 14. Let j be -1 + (-12)\/4 + 11. Let q be n(j). Find the second derivative of -35*v + v**5 + 34*v - q*v**5 wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1473 in -11, -3\/17, -8?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2018692*l**6 - 4*l**2 + 28227*l - 31.\nAnswer: 242243040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 3*j**2 + 5*j**2)*((4 + 4 - 6)*(2*j - 2*j + 2*j) + 25*j + 14*j - 30*j)*(4*j + 0*j - 3*j).\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4\/3 + 12303605*u**3\/3 + 2522980317200*u**2 + 2522976216000*u.\nAnswer: 5*u*(u + 1)*(u + 1230360)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (18685\/1665 + (-64)\/4)*18\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(210)\/sqrt(7))\/sqrt(2))\/sqrt(3) + 3)**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 7:29 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 4:24 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-96)\/(-10) - 2\/(-5) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*n + 78*n - 18. Let t(j) be the first derivative of 4\/5*j**5 + 0*j**2 + 3*j**4 + 8\/3*j**n + 10 + 0*j. Let t(q) = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3079 - 1155. Factor 16*n**2 - 48 + 20*n**2 + 1716*n - r*n.\nAnswer: 4*(n - 6)*(9*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001000001101110101001 (base 2) to base 7.\nAnswer: 52640130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03385 (b) 13.7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.7028 - 0.0772. Let o = -0.02 + r. Let z = -6.5 - o. What is the second biggest value in -0.2, 3\/5, -10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15618 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/3)\/(3\/(-2)). Let s be (4\/16*0)\/(-1). Let w = v - s. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5772 (base 12) in base 2?\nAnswer: -10011000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 26. Suppose -m*y - 5*f = -4*f - 573, -730 = -5*y - 4*f. Let a = y + 54. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 34876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 0*r**3 - 4*r**3 + 37295*r**2 - 37295*r**2 - 92*r**3 + (4 - 2 - 1)*(-2*r**3 + 2*r**3 - 2*r**3).\nAnswer: -96*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014801 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 - 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 10*s + 24 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 9:11 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 458*o**3 + o**2 - 2*o - 456*o**3 + o**2 - 3*o**2 + 4 as b*o + i*o**3 + z + n*o**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 2*w, -2*i = w - 4*w - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 10*m + 5. Let b be c(-10). Let p(s) = -2*s**3 + 13*s**2 - 5*s - 5. Let x be p(6). Which is greater: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c**2 - 3 + 0*c - 10*c**2 - 2*c - c. Give t(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.44, 3\/2, -1\/4, -237?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + 0.08. Suppose 5*s + 20 = 9*s - 3*n, 0 = 2*s - 4*n - 20. Which is the nearest to 0.1? (a) 4 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16097.7375s?\nAnswer: 0.18631640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -415 + -112. Let p = 2292 - y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-795)\/1484 - 3\/((-21)\/2). Which is the nearest to i? (a) -3 (b) -0.09 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3039012 divided by -19?\nAnswer: 159948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18.9025245 seconds?\nAnswer: 0.00021877921875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = 35*d + 90 - 72 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46\/8 + (-4)\/(-16). Let x be (-8877 + 6)*5308\/c. Let k = 15652122 - x. Round k to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3577 = 11*r - 647. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 102, 0.02, 5?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/250605 or 1\/4?\nAnswer: -7\/250605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -321, -2787, -9497, -22575, -44145, -76331, -121257?\n\"Answer: -354*l**3 + 2*l**2 + 6*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 3*f**2 - f - 1. Let z = -47 + -5. Let k = -65 - -113. Let m = k + z. What is d(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b**5*m - 4*b**2*m + 4*b*m + 54*m + 1 wrt b.\nAnswer: -160*b**3*m - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**2 + 5*j**3 + 2*j**2 - 9*j**2 wrt j?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 233188 and 3977?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3 - 566*m**2 + 564*m = 0?\nAnswer: 0, 1, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*d + 114*d - 181*d + 2879366 = 0. List the prime factors of d.\nAnswer: 2, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322*-10\nAnswer: -3220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21922935, 21922934, 21922933, 21922932?\nAnswer: 21922931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/120)\/(189\/864).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 426893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 2*y - 1 + 3*y - y. Let m be c(-5). Suppose -2*n - m*o = -26, -5*n + 22 = o - 52. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 1:31 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 610*a - 87496. Determine b(120).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124662?\nAnswer: 2, 3, 79, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d**2 + 15*d**2 + 7*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 462 = -4*q. Let l = q + -98. Suppose -4*m + 84 = -l. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1795 divided by -43.\nAnswer: 1795\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 - -0.3. Let j = -1059 - -1058.9. Let n = -4.91 + -0.09. Which is the closest to s? (a) -0.5 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -383, -2929, -9781, -23093, -45019, -77713?\n\"Answer: -359*g**3 + g**2 - 36*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/1409 - -69074\/15499. Let r = 2 - 4. Find the common denominator of 220\/24 + r\/6 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -69 - 13*v + 69. Let o(n) = -2*n**2. Give y(o(u)).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*24\/4. Suppose -4*u + 24 = t*d, 0*d + d = 3*u - 2. Solve -5*z + d = -21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -548 divided by -274\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -20.8. Let m = 1\/278 - 857\/6394. Is v greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12114.7 and -0.4.\nAnswer: 12114.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -75 (b) -4 (c) -0.5 (d) -3 (e) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 692751577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -125, -102, -79?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(10*h - 7*h - 2*h - 6*h**2).\nAnswer: -6*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = 471*o - 1648 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*o + 8*o + 6*o - 5*g, 4*o = 2*g - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*x + 34 - 473 = 409 + 1242 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + -2)\/((-3)\/(-9)). Suppose -2*z = -23 - o. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 11. Let g = -4.1 + -1. Let a = -2.1 - g. Put a, 2, k in descending order.\nAnswer: k, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 13*r - 4. Let c be h(-12). Suppose -5*w + 2*k + 0*k = -14, 3*k = -w - 4. Suppose c = 4*g - w*g. What is the remainder when 5 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 108701 - 1191851 = 0. Let s = -58625 + j. What is s rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1667*o - 2. Let f(w) be the second derivative of -w**3\/2 - 9*w + 25. Calculate f(u(q)).\nAnswer: -5001*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139661 (base 11) to base 2.\nAnswer: 110101001010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52429869 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -241221 - 19?\nAnswer: -24123a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.024 + 0.002. Let w = 0.374 + m. Which is the closest to w? (a) -5 (b) -1\/10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*i + 50 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10}. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591834 = 57*f - 590067 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -28*3\/21*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiee when four letters picked without replacement from iiiee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**3 - 16*l**3 + 21*l**3)*((l - 3*l + 4*l)*(0 - 6 + 1) + 14*l - l + 15*l).\nAnswer: 180*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12781.\nAnswer: 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -6*a + 401*a + 134*a + 23188 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*((sqrt(3025)*3)\/(sqrt(3240)\/sqrt(8) + sqrt(5)) + -5).\nAnswer: -33*sqrt(5)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*o)*(0*o - 3*o + 2*o) + 79*o**2 + 3196*o - 3196*o.\nAnswer: 82*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 89. Let s(c) = 10*c**2 + 5*c + 2. Let h be s(-1). What is the units digit of a(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*b - 19. Let p(f) = -f**3 + 7*f**2 - 7*f + 9. Let l = 22 - 21. Calculate the least common multiple of p(b) and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-9)\/(-12)) + 7. Suppose 9 = z*a - 21. Solve 5*d + 5 = -20, d + a = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -167*j**2 + 92*j**2 + 14 + 84*j**2 - 5*j. Let f(l) = -17 - 15 + 2*l + 38 - 11 - 3*l**2. Determine -11*f(i) - 4*v(i).\nAnswer: -3*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-1) - (176\/66*-6 - -10)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*j - 4, -5*j - 3 - 5 = -4*w. Suppose a = -n - j*n, -2*n - 3*a = -1. Which is greater: n or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1375910 - 1375910. Find q such that -2\/5*q**2 - 2*q + x = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-108)\/8*44\/(-6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 6, 15909 in increasing order.\nAnswer: -4, 0, 6, 15909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15.4, 9, 2\/13 in ascending order.\nAnswer: 2\/13, 2, 9, 15.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((17 - -3) + -13 + -19 + 21).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-1 - 3 + 2)*(0*h + h - 2*h) - 6 - 3*h + 6.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 1, a: 2}. Give prob of picking 2 a and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (-3 - (3 - 1)). Solve -2 = -3*r - z, 3*r - 2*z = h*z - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 29. Suppose 0 = -0*s + o*s - 5. Sort 3, s, 4, 2.\nAnswer: s, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 4, m: 4, j: 7, z: 1, e: 1}. What is prob of picking 2 b?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*d**3 + d - d + d**3 + (0*d**2 + 0*d**2 - 2*d**2)*(-d - d + 0*d) + 0*d**3 + 0*d**3 - d**3 + (d**2 + 0*d**2 - 3*d**2)*(-2*d - 7*d - 2*d).\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 20*s + 203. Let o(k) = 26*k + 206. Calculate 4*i(g) - 3*o(g).\nAnswer: 2*g + 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -3 + 129. What is the remainder when 21 is divided by (t\/12)\/(9\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, 0, 13, 1891.\nAnswer: -2, 0, 13, 14, 1891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -435.5845 and -24371.\nAnswer: -24806.5845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 576*q**2*y + 1989*q**2 + 3*q + 20*y**2 wrt y.\nAnswer: 576*q**2 + 40*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 20*m**2 + 7*m + 7. Suppose -10*i = -5*i + 3*b - 42, 28 = 4*i + b. Is l(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**3 + k**2 + 12*k - 14. Give a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -24*w + 1. Let r(x) = -13*x. Calculate 3*c(d) - 5*r(d).\nAnswer: -7*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v*v**(1\/4)))\/v**0*v**(-1\/7)*v\/(v\/v**(-11)) assuming v is positive.\nAnswer: v**(-263\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:07 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v - 4*y - 2, v - y - 3 = 0. Suppose -2*z - 20 = v*z. Is (-138)\/z - 5 - 4\/(-10) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5997\/7 - 858. Let a = -3976091\/128 + 31064. Find the common denominator of a and b.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q. Let r(m) be the third derivative of m**5\/60 - 3*m**3\/2 + 2*m**2. Let x(o) be the first derivative of r(o). Give x(i(g)).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1479594798 less than 1777?\nAnswer: 1776.8520405202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -18608\/30295?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c**2 + 3*c - 5. Give i(3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1990 + -1993. Let y = 19 - 39. Let v be (48\/y - -2) + 1. Sort v, 2, 1\/6, t.\nAnswer: t, 1\/6, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/4)\/((-10)\/(-1190)*-14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 4*t**2 - 3*t. Let p be l(-2). Let a be (-4)\/p + 5524974\/13. What is a rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*h**3 - 648*h**2 wrt h?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317162.\nAnswer: 2, 158581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z = 3 + 60 + 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/308*-66 + -4*(-4)\/14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233408 or -233407?\nAnswer: -233408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/34, 9, 4?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (84\/9)\/(-4)*17. Let g = 40 + h. Determine m so that 1\/3*m**2 + 0 + g*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -21*z - 7. Let o be p(10). Let v = 315 + o. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**24*r)\/r)\/r**14*(r*r\/r**(-5\/8)*r)\/(r*r\/(r**(-11\/2)\/r*r*r*r)) assuming r is positive.\nAnswer: r**(65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102002811?\nAnswer: 3, 19, 89, 20107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-21)\/(-28)*-6*(-2)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 349.691 nanometers?\nAnswer: 0.0000349691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a - 8*a - 10*a + 39*a - 14*a - 1. Suppose 2*d + 11 = 7*d - 2*u, 12 = -3*d - 5*u. Let g(b) = -5*b - 7. Determine d*g(n) - 6*x(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 o, and 1 z when three letters picked without replacement from ozoononhnoooeoweww?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1881, -2017, -2155, -2295, -2437?\n\"Answer: -l**2 - 133*l - 1747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*l + 43 = 0, 74 = -5*v + v + 9*l. Let m = -5 + 19. Sort 2, v, -0.4, m in decreasing order.\nAnswer: m, 2, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013393 is divided by 73.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**4 - 1653*z**3 - 1136*z**2 - 7599724*z?\nAnswer: -12*z**2 - 9918*z - 2272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n + 12. Let p(g) be the first derivative of -g**2 - g + 29. Let z(h) = -2*p(h) - t(h). What is z(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(475) + -5 + (sqrt(475) - -3*(sqrt(475) - (-2*sqrt(475) - sqrt(475)) - sqrt(475))))**2*-1.\nAnswer: -342125 + 3000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - 0 - -4) + 7. What is the closest to 0.1 in -4\/5, -5, u?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/50)\/(((-96)\/40)\/6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -19. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4446*j + 4745 + 4749 - 14245 + 4751.\nAnswer: -4446*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 4*p**2 - 7*p - 6. Let x be j(-5). Suppose 9 = -f + x*f. Is f not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/12050779 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6*r - 301 = 0. Suppose 4*c - 1829 = 3*n, n + 0*n - 1375 = -3*c. Let z = c + r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24452*c + 24475*c = -874 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*((t*t*t\/((((t*t**(3\/10))\/t*t)\/t)\/t*t))\/t)\/t*t)\/t)\/t)\/t**(3\/5)*(t**(-1\/4))**14*(t**5\/t**4)**(1\/30) assuming t is positive.\nAnswer: t**(-101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(630\/112)*-3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 35, -0.33, 4 in ascending order.\nAnswer: -4, -0.33, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 9*z**2 - 3*z - 45. Let w be v(8). Is -45\/11 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/69, -1.5, 4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-4 - -3) - 32.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22254989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 o when four letters picked without replacement from {b: 12, o: 7}?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -15*h + 183 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -120?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/((-1)\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**6\/144 - r**5\/15 - r**4\/12 + 2*r. Let k(z) be the third derivative of d(z). Is k(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 7*y**2 - 11*y - 1. Suppose 4*i + 34 = n, 0 = -0*i - i - n - 6. Is l(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -454.108, -5, 3 in decreasing order.\nAnswer: 3, -5, -454.108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 3}. What is prob of sequence ee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -43314775*i. Let j(o) = 5*o**2. Calculate r(j(p)).\nAnswer: -216573875*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**3\/3 - k**2\/2 + 3*k + 7. Let c be n(0). Suppose 337 = -2*f + c*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110 + 100101010100?\nAnswer: 100110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g - 61*g**3 + 32*g - 60*g + 0*g**3.\nAnswer: -61*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 9. Let c be -6 + 9 - (-1 - -1). Let s(q) be the second derivative of 0 - 3*q + 5\/2*q**2. Give c*y(u) + 5*s(u).\nAnswer: -3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2))**(-19)\/((u*u*u\/(u*u**1*u)*u)\/u*u**(1\/4)))**5 assuming u is positive.\nAnswer: u**(-195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:10 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1541 or -433?\nAnswer: 1541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3 = -35. Suppose -4*r + o = s - 11, r + 3*s - 2 = 0. Suppose -7 - 3 = -r*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 8. Suppose q = 5*p + k - 20, 0 = 3*p - 8*p - 3*k + 30. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1*3\/((-1080)\/16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -4, -8567, 0 in increasing order.\nAnswer: -8567, -30, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 5*6*(-1 + (-12)\/(-8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 249 + -247.03. What is k rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tta when three letters picked without replacement from aataataaattt.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28152 is divided by 433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2534*y + 2. Let g(t) = 1276*t + 1. Calculate 6*f(o) - 11*g(o).\nAnswer: 1168*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6361*z**2 - z. Let s(x) = 209*x. What is l(s(r))?\nAnswer: 277854841*r**2 - 209*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -96 - 0?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70492106\/2189134455 + 35\/296029. Let n = -1\/145 - m. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1615 - 1635)*3\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) -1 (c) -1\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6304670289 to four dps.\nAnswer: -0.6305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 6*i**2 - 3*i**2)*(-2*i + 2*i - i) - 445*i**3 + 3627 - 7251 + 3622.\nAnswer: -444*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 36*g**4 + 53*g**2 - 9*g + 9. Let z(n) = 9*n**4 + 13*n**2 - 2*n + 2. Let d(a) = -2*u(a) + 9*z(a). What is the third derivative of d(j) wrt j?\nAnswer: 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 3 (b) -1\/3 (c) -1\/13 (d) -1 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 122*f**2 - 4294*f + 851. What is b(35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.017655 at most -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.6920104 minutes?\nAnswer: 0.003952785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-35)*60\/(-450).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8111583mm in nanometers?\nAnswer: 811158.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2) - 24\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 25*k = 208. Is k less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ocsocrsskcs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**4 + 15*s**3 - 5*s**2 - 15*s + 10 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.66468mg to kilograms.\nAnswer: 0.00008466468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*(-13)\/286)\/((-2)\/52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.864 * -0.0238\nAnswer: -0.0205632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*v - 57, v = 3*p - 28 - 9. Let w(f) = -36*f**2 + 29*f**2 + p*f**2. Let h(t) = 16*t**2. Give w(h(s)).\nAnswer: 1280*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -479 by -6.\nAnswer: 479\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112727 (base 9) to base 16.\nAnswer: -1084c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, 89, -1\/7, 1, -5, 9\/103, 0.06?\nAnswer: 9\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i + 11. Let j be k(8). Let v(t) = -105*t**2 - 786*t + 141. Let m be v(-7). Calculate the highest common divisor of m and j.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**9\/1008 - g**6\/180 - g**3\/2 + 3*g**2. Let l(k) be the first derivative of n(k). Find the third derivative of l(r) wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 - 3*k - 4. Let o(b) = 3*b**3 - 3*b - 5. Let m(d) = 5*f(d) - 4*o(d). Suppose m(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89783231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 46*u - 15. Let h(r) = -46*r + 13. Determine -7*h(z) - 6*k(z).\nAnswer: 46*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 7*d + 280. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 14 = -4. Let m be (-2 - 0)*1 - -3. Suppose 21 = n*h - m. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -14599.\nAnswer: 58396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*m + y - 25, m = 4*y + 5. Solve -m*t = -d - 21, 7*d = -3*t + 3*d + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -9.9 (b) 585 (c) 2 (d) -3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 4*p**2 + 5*p. Let y be r(5). Suppose 5 = w + j, y = 5*w - 3*w - j - 1. Suppose w*d - d = 0. Which is the closest to d? (a) 6 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 9*q = -15*q. Suppose -5*m - 4*b - 4 = 11, 3*m - b + 9 = 0. Sort m, q, 22 in increasing order.\nAnswer: m, q, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d**3 + 0*d + 0*d - 92*d**3.\nAnswer: -62*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -2*v**3\/3 - 23*v**2\/2 + 31*v. Is k(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8))**(-2\/13) assuming g is positive.\nAnswer: g**(16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*m**2 - 1 - 2*m**2 - 74*m - 5*m**2 + 62*m in the form s*m + o + g*m**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (32*3\/288)\/((-4)\/72)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42575 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/17, -0.2 in ascending order.\nAnswer: -0.2, -1\/17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/3 + (11 - 7). Let c(o) = -o**2 + 4*o - 1. What is c(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08832 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938\/57*5\/(35\/(-7))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12755 times -0.028463?\nAnswer: 363.045565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139245263.\nAnswer: 3, 13, 19, 170827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2 - 25*x - 5. Let l be v(-6). Let u be ((-3 - 4) + 6)*l. Which is smaller: -1\/97 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -c + 1 - 2, -4*c = -4*m - 4. Find the third derivative of -2*z**4 - 7*z**2 - 4865*z**3 - 4*z**m + 4759*z**3 wrt z.\nAnswer: -48*z - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*c - 21 - 133, 0 = -p - 4*c + 49. Let k = -7 + p. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*y = 15, 5*b - 5 = -0*y + y. Let j be (1 - 1 - 2)\/7. Let d = j + 0. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*k**2 + 27*k**2 - 22*k**2 + (-2*k + k - k)*(2*k + 6*k + 0*k).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1285, -1276, -1267, -1258, -1249?\n\"Answer: 9*p - 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3385 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 12:07 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/(112\/(-252))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 4 (b) 2.153 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 6. Suppose 0 = -6*s + 11 + 49. Let k be n(s). Suppose -u + k = -4*x + 1, 0 = -u - 2*x + 21. Solve 3*m + u = 3*a, -2*m + 4*a = -0*a + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 7*m + 8. Let b(q) = 2*q**2 + 13*q - 15. Suppose -w - 13 = -0*d - 2*d, -w + 3*d = 14. Calculate w*t(r) - 6*b(r).\nAnswer: -r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**4 + 24968*o**3 - 5*o**2 + 6*o - 135.\nAnswer: -48*o + 149808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m*m\/(m*m\/(m*m*m**2))*m)\/m))**36 assuming m is positive.\nAnswer: m**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, 1 p, and 1 x when four letters picked without replacement from {l: 7, x: 4, e: 3, p: 1, i: 1}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = l - q, 0 = -4*l - 5*q - 26685 + 26682 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 28, -2 in descending order.\nAnswer: 28, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*k**2 + (-3678 + 3678 - 604*k)*(-4*k + 0 + 0) to o + x*k + f*k**2 and give f.\nAnswer: 2414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4410 in increasing order.\nAnswer: -5, 3, 4410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 837679645 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let m(j) = -9894*j**2. Give m(z(l)).\nAnswer: -39576*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 14*n**3 - 15*n - 32*n**3 + 16*n**3 + 2*n**2 in the form l*n**3 + z*n**2 + q*n + p and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -57458 < -57391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 2\/(-4)*0. Let j(z) = -z**3 - 69 + 2*z + 4*z**2 + 70 - 4*z. Determine j(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**5\/20 + r**4\/4 - r**3\/3 + r**2 + r + 50. Let u(z) = z**3 - 5*z**2 + 3*z. Let g be u(4). What is n(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -140. Let c = -3 - 3. Let q(y) = -y**2 - 7*y + 2. Let l be q(c). What is the greatest common factor of x and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 7*z**2 - 2*z - 4. Suppose 0*q = 2*q - 4*r - 8, -2 = -2*r. Determine y(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*j**5 + 430*j**2 - 81*j**5 - 311*j**2 wrt j?\nAnswer: -7800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -16370\nAnswer: -114590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 + 584 - (3 + -3 - 21)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in decades?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-6)*b)\/b*b*b*b)\/(b\/(b\/(b*b**4\/b))*b))\/((b*b*(b*b**(-2\/13)*b)\/b)\/(b**(4\/9)\/b)))\/((b**2\/b)\/b**5)**(-1\/7) assuming b is positive.\nAnswer: b**(-8987\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**4 + 190*j**3 + 825*j**2 + 630*j = 0.\nAnswer: -3, -1, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947509 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 72189324.\nAnswer: 5053252.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -519*-0.02\nAnswer: 10.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 21*u + 48. Give n(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6088*o**3*v**2 - 141*o**3*v - 2480*o**2*v + 2*o*v**2 - 2*o*v + 12*v + 9 wrt o.\nAnswer: -36528*v**2 - 846*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 65*d + 239 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 2. Let w(h) = -2*h**2 + 6*h - 4. Let a be w(2). Let k(l) = a*l - l - 4*l + 4*l. What is k(r(d))?\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/((-6)\/27*3). Let h(x) = 18*x**2 + 21*x + 10. Is h(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l*l\/(l*l**(-8)))\/((l*l\/(l\/((((l**(-1)*l)\/l)\/l)\/l))*l)\/l*l**(-5\/4))*((l\/(l*l**(2\/9)*l))\/(l\/(l\/(l**(-11)\/l))))**40 assuming l is positive.\nAnswer: l**(16177\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -30626?\nAnswer: 30617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 760073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7941578 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxxdkpeefpff. What is prob of picking 1 p, 1 f, and 1 k?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from tkctutukkwkukkkct?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -394\/1073, -0.5 in decreasing order.\nAnswer: 1, -394\/1073, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 > 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 11571065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*-13.2\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -151?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 2:26 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435874 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-60))\/((-2)\/(-6)). Let s = 1150 + -1150.38. Which is the second biggest value? (a) g (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 0*p**3 - 3*p**4 + (13*p**2 - p**2 - 2*p**2)*(-3*p**2 - 3*p**2 + 5*p**2) + 2 - 2 - 2*p**4 + (1 - 3 + 3)*(-p**4 + 0 + 0).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dludlllllgggg. What is prob of sequence gll?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 493, 1548, 2603?\nAnswer: 3658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -4885?\nAnswer: 4872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((18 - 10) + -16)\/((-4)\/3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/639598 and -27\/3197990.\nAnswer: 3197990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 115427598?\nAnswer: 115427598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -818.959 - -819.2. Is 1\/21 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9690\/(-7106))\/(45\/18)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(76) + sqrt(76) + sqrt(76) + 1 - sqrt(76) - sqrt(76) - sqrt(76)) + -1 + sqrt(19) + -4 + sqrt(304)*3*5 + 2)**2 + 2.\nAnswer: -248*sqrt(19) + 73042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/14, -136492, -28?\nAnswer: -136492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038702 divided by 74193?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102202002 + 20?\nAnswer: 1102202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {b: 2, p: 2, m: 9}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -367 - -9?\nAnswer: -35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6707 divided by -6\nAnswer: 6707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = f - 3*o + 8*o, 4*f - 3*o - 177 = 0. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5334.98 litres to millilitres.\nAnswer: 5334980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102049021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57313420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 0 + 1\/6*g**4 - 1\/2*g**2 - 3*g + 1\/6*g**3. List the prime factors of l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - 5. Suppose -4*g - j + 60 = -b*j, -5*j = 2*g - 9. Suppose g = 2*t - 102. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 32213254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 9*f**3\/5 + 29*f**2\/5 + 24*f\/5 + 4\/5 = 0.\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/(((o*(((o**(-1\/9)*o*o)\/o)\/o)\/o)\/o)\/o))\/((o*(o\/(o*o*o**(-2\/41)*o*o))\/o)\/((o*(o\/(o*(o**(-2\/11)\/o)\/o*o))\/o)\/o)) assuming o is positive.\nAnswer: o**(49699\/4059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + (-16)\/(-45) + (-23684)\/(-532890).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 21 + 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 54. Let m = -19 + 19.2. Let t = -1.62 + 5.62. Put d, m, t in ascending order.\nAnswer: m, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 129 - 589 = 2*k, 4*k + 5*z = -1456. Find the common denominator of (k\/10)\/9 + 5 and 137\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 41210190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**6\/15 + 5*i**5 + 103*i**4\/6 + 52*i**3\/3 + 1055*i. Let r(u) = 0. What is u?\nAnswer: -1, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 5143885*w + 51438350.\nAnswer: 5*(w - 1028767)*(w - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q + 33*q - 16*q + 18*q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:19 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**(-1\/6)\/j*j*j*j*j)*j*j\/j**(-12))**(-2\/5) assuming j is positive.\nAnswer: j**(-61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 26. Suppose -5 = 5*f + p, 5*q - 31 = 2*f. Suppose 0*j - 5 = q*j. Which is greater: j or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/30 + 1925*n**2. Let q(p) = -17*p**2. Calculate q(a(v)).\nAnswer: -68*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 + -0.35. Suppose -5*s = 10 - 0. Let z be (-1)\/((-5)\/(2\/s)). Which is the nearest to 1? (a) z (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.8\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -948.84514947 - -944.095147. Let m = u - -4.75. What is m rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2 - 18, -v = 2*z. Suppose 531196 = -z*k + 2*i, -10*k + 14*k + i = -1062402. Round k to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*((2*(sqrt(325) + (sqrt(325) - ((sqrt(325) + sqrt(325)*2)**2 - sqrt(325)))) - sqrt(325)) + (3*sqrt(325) + sqrt(325))*4) + 4).\nAnswer: -315*sqrt(13) + 17546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -912056 at most -912069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*o**4 + 212?\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o + 14*o - 5*u, 5*u - 5 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 11*z**5\/20 - z**4\/12 - z**3\/6 + z**2 - 5*z + 244. Let h be 5\/3 + 2\/(-3). Is l(h) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*10\/(-255)*1734\/6324?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16823376*p**2 - 45443383*p wrt p?\nAnswer: -33646752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -38. Sort 0, -4, c in descending order.\nAnswer: 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 18*b**2 + 2*b. Let i(f) be the first derivative of f**3 - 274. Give n(i(p)).\nAnswer: 162*p**4 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(5*i - 2*i - 2*i) + 0*i + i - 3*i + (0 + 1 + 1)*(-2*i + 0*i + i) - 4*i + 5*i - 6*i to the form u*i + b and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3044.3 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -823*b - 1649*b + 756*b + 34320 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 22*q + 6*q)*((-3 + 3 - 2)*(0 + 5 - 4) - 1 - 2 + 7)*(5 - 1 - 3) + (-1 + 0 + 3)*(-2*q + 2 - 2).\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1012*l - 2. Let m(y) = -1142552*y + 2259. What is -2*m(k) - 2259*o(k)?\nAnswer: -1004*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3 + 2*o**2 - 7*o**3 - 6 + 8 + 0. What is m(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5*t + 560, -5*t + 0*t = 15. What are the prime factors of d?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250.1458 centimeters to micrometers.\nAnswer: 2501458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25425?\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1808706, -1808702, -1808698, -1808694, -1808690, -1808686?\nAnswer: -1808682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.72 - -4.21. Which is the third smallest value? (a) -2 (b) s (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 3*n + 1483 = 1595 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + 4*b)*(0 + 1 - 3)*(-21 + 140 + 85).\nAnswer: -816*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -9, 89, -34?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -19, 0.4, -18329?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) -2\/3 (c) -4 (d) -5 (e) -2891 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 138245, 0.3, -3 in descending order.\nAnswer: 138245, 1\/2, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23\/3, -5, -4 in decreasing order.\nAnswer: -1, -4, -5, -23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*l + 20 = 0, 0 = 3*f - 21*l + 17*l + 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqcf when four letters picked without replacement from jjjjjjjqqqkhcqqjffqc.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*v + 12 - 72 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*-1*sqrt(847)*6*-5.\nAnswer: 990*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*i + 24 = 0, 0*i - 21 = 2*y + 3*i. Let c(x) = 25*x - 10. Let w be c(1). Let o(s) = -3 + w*s + 21*s - 37*s. What is o(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 55 = -n - 0*n, 5*a = 4*n + 230. Calculate the remainder when a is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 11*c - 17)*(-3 - 1 + 7) in the form y + f*c and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 - 8 + 6*h**2 - 2*h**2.\nAnswer: 4*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-902)\/77)*1\/2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 5*c**2 - 6*c**2)*(-8*c - 3*c + 4*c)*(0 + 2 + 1)*(-4*c + 90 - 90 + (-5 + 3 + 4)*(-3*c + 2*c - c) + 0*c + 0*c + 2*c).\nAnswer: -882*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13664181*u - 5728765 wrt u.\nAnswer: 13664181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d - 3. Let s be (5 + -5)\/(-2*1). Let t be l(s). Let v be 1 + -1 + (t - -3). Solve v = -5*j + 19 + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**5\/60 - 5*y**4\/24 + 7*y**3\/6 + 14*y**2 + y. Let h be r(3). Solve 3*l + h + 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.201341 nanograms to kilograms.\nAnswer: 0.000000000004201341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 121*o + 5. Let g(j) = -101*j - 5. Let t(u) = -5*f(u) - 6*g(u). Calculate t(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -224*n + 114 - n**2 + 221*n + n**2 + 6*n**3 wrt n?\nAnswer: 18*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.27 * 3.248\nAnswer: 4.12496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, 40, 148, 302, 502, 748?\n\"Answer: 23*b**2 - 7*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-64.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 8950065.\nAnswer: 1\/2983355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 129*i - 238 = -126*i, 0 = 4*o - 5*i - 193. What is the remainder when 171 is divided by o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 5, w: 4, m: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15902202 to the power of 1\/3, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 8*d + 10. Does 13 divide s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezf when three letters picked without replacement from eedeezzefddzddd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w - 14. Let t = 27 + w. Solve -t*y + 1 = 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1.7319 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2445, -2440, -2435?\nAnswer: -2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*f - 184*f = 224*f + 3204 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyn when three letters picked without replacement from {y: 1, c: 1, x: 1, l: 2, n: 2, s: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.63 and 0.7?\nAnswer: 1.841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4 greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - 25*z + 6*z.\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -0.4, 0.8, 0.08, 3, 1.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 8:52 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/1465)\/((8 + -14)\/(-12)). Suppose 4*f = f - 3. Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5\/3 - 28832*z**4\/3 - 4233244*z**3\/3 + 242318718680*z**2\/3 + 161550007248*z + 80775699552 = 0. What is z?\nAnswer: -2546, -1, 4878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*-5.1\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/5 - r**3 + 34*r**2\/5 + 56*r\/5 - 192\/5 = 0. Calculate r.\nAnswer: -8, -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-2)\/((-6)\/(-33)). Let r be (1\/2)\/(w\/(-696)). Let h = r + -25. Calculate the greatest common divisor of 44 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 273 - 158. Suppose -5*q + k = -y, 61 = 4*q - 3*y - 31. Suppose 3*f = 2*t + 125, f + 5*t - t - q = 0. What is the highest common factor of f and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2292*j - 2228*j = -256. Which is the fourth smallest value? (a) j (b) 2\/15 (c) 2 (d) -2\/12605\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197187750 divided by 13145850?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 + 7 = 0. Let w(f) be the second derivative of -f**4\/6 - f**3\/2 + f**2 - 40*f - 2. Let m(v) = -3*v**2 - 4*v + 2. Give q*m(j) + 4*w(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-2)\/10)*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 257 + 57. Put 0.4, j, 0 in decreasing order.\nAnswer: 0.4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7176092.\nAnswer: 2, 7, 11, 23, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 2\/3*i**4 - 1 - 3*i - 1\/15*i**6 + 4\/3*i**3 - 1\/10*i**5 + 0*i**2. Let s(z) = 0. What is z?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2825923.25 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krhkkxrkkgikhgrkkk. Give prob of sequence rhg.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 3*m + 15. Let a be 260\/45 - 4\/(-18). Suppose -3*q - 141 = -a*q + d, m*q + 4*d - 126 = 0. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29191*j**2 + 444*j + 3720805.\nAnswer: 58382*j + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/13*4\/(-1))\/(-182)*(-140)\/80.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10866*p**4 - 6*p**3 - 9*p**3 + 4 + 10865*p**4 - 2*p**2 in the form o*p**2 + d*p**4 + k*p**3 + u + h*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -34*r. Let h(a) = -2*a**2 - 15*a + 3. Let v be h(-8). Let j(z) = 11*z. Determine v*l(k) - 16*j(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 + 451*i + 19. Let j(l) = l**2 - 150*l - 7. Let z = 12 - 5. Let v(o) = z*j(o) + 2*g(o). Differentiate v(a) with respect to a.\nAnswer: -2*a - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 - 4*a + 4*a - a + 685 - 383.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 15*j**2 + 6*j - 2. Let q(o) = 188*o**2 + 75*o - 25. Let z(s) = -25*c(s) + 2*q(s). Let t(r) = 0 + 0*r**2 - 2*r**2 - 4. Determine t(z(a)).\nAnswer: -2*a**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1140 = -c + 255*q - 129*q, 0 = -15*c - 3*q - 63 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444.5802 milligrams to nanograms.\nAnswer: 444580200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y = -4. Let o = 4 - y. Suppose 52 = 10*d + 112. Sort o, d, -5.\nAnswer: d, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3701 or 8\/61?\nAnswer: -0.3701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1416 and ((-279)\/30 + -1)\/((35 - 25) + -12).\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 38 = 6*h, 0 - 34 = -2*r - 5*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 2. Let s be k(-2). Suppose s*j + 3*j = 6. Let z(b) = b + 12. Let i be z(-6). Solve -i = j*u - 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63.568 - -63.6. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 3\/3 - (-8 - 5). Let d = -1135 - -5722\/5. Is x at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9013.\nAnswer: 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqiiiiqiiiii. Give prob of picking 3 i.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1547 (base 14) in base 4?\nAnswer: -323023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 18 + 10 + 4*o**3 + 16 - 44.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3023333302 - -2?\nAnswer: 3023333310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-40)\/(-15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-2))\/(7904\/41496).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 519802452?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532.0713 weeks to hours.\nAnswer: 89387.9784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51570 and 14580.\nAnswer: 2784780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 + 150*l + 9. Determine v(41).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6638 - -6643. Put 3, 0, 1, i in descending order.\nAnswer: i, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 m, and 1 z when four letters picked without replacement from mmttmtftmwmzmfmm.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:41 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2 - 130. Let o = 46 + -31. Calculate the remainder when y is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -125*z - 2. Let h = -883 - -872. List the prime factors of v(h).\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101010100 (base 2) in base 3?\nAnswer: -20210021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*h**4 - h**3 - 16*h**2 + 16*h - 1788660 with respect to h.\nAnswer: 212*h**3 - 3*h**2 - 32*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/4 - 2*b**3 + b**2\/2 - 6*b + 6. Let m be d(6). Solve -26 = -5*i + 4*w, i + 0*w - w - 6 = m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 43*a**3 + a**2. Let f be d(1). What is the highest common divisor of f and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8043, 8064, 8083, 8100, 8115, 8128?\n\"Answer: -z**2 + 24*z + 8020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*d - 1825 = -14*d. Solve 0 = 12*m - 23 - d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*x + 4232 = 338*x. Let s = x - 525. Solve s - 1 = 2*m - 3*v, m - v = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 10 + 2 = 0. Suppose -i*o + 2 = 6. Let v be ((-3)\/(-9)*-1)\/1. Which is bigger: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a factor of 2951078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2064 (base 9) to base 12\nAnswer: a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirty sevenths of a week?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38415024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(5) + -1)**2*6 + ((sqrt(45) + sqrt(5))*-5)**2 - (sqrt(320) + (sqrt(320) - (-1 + sqrt(320))) + 4 + 3*(1 + sqrt(320)))**2) + -2.\nAnswer: -3060 - 536*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300)*2 + (-1*sqrt(156))\/sqrt(3))*3*-4.\nAnswer: -216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-6 + 4 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28705982 to the nearest integer?\nAnswer: 5358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((6\/(-4))\/(-3))\/(15 + -6 + -13). What is the closest to -170\/3 in 0.3, -2, j, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 139.\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, 5, -2\/3, 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 148304 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(189)*2 - sqrt(189) - sqrt(189))\/(sqrt(108)*-2).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i. Solve 4*d - 16 = -i*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24914589, 24914583, 24914579, 24914577?\n\"Answer: s**2 - 9*s + 24914597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 68 = -4*f, -8*f = -3*f - 5*m - 75. Suppose 0 = 5*t - 3*t - f. Solve -t = -q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 18*o - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 - 92 - (-9 + -2 + (-2 - -6) - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1399540*h**2 + 7*h*u**2 + 16362573*u**2 + 6 wrt h?\nAnswer: -2799080*h + 7*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21465 (base 11) to base 5.\nAnswer: 1444133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 47. Is c*(18\/4 - -1 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 7, k: 6}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 4*t - 2. Let k be d(2). Let v = k - 3. Is 10 a factor of (3 + v)\/2 + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w*(w\/(w**(-3\/4)*w))\/w)*w**(-4)*w*w*w**(-2\/13)*w*w**(-2\/13) assuming w is positive.\nAnswer: w**(-3\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15980 + -7007. What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**4 + 592601*m**3 - 2266845*m?\nAnswer: -24*m**2 + 3555606*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53708 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 8 = -26. Let i = -12 + 34. What is the greatest common factor of v and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 1, s: 2, d: 1, w: 1, b: 1}. What is prob of picking 1 b, 1 p, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235333 (base 7) in base 4?\nAnswer: -213021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. List the prime factors of j(14).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*q - 19. Let j = -4 - q. Let l(h) = 2*h + 52. Let m be l(-26). Sort j, -5, m in descending order.\nAnswer: j, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 9:18 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242 - -243.19. What is u rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -364? (a) 0 (b) 1 (c) 0.2 (d) -3.83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from lclznllc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4564 times -50\nAnswer: 228200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 - -1087693.\nAnswer: 1087437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 + 1121122202?\nAnswer: 1121121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-220)\/(-66))\/(3\/(-63)). Let m be 24\/((-7)\/(s\/4)). Calculate the greatest common divisor of 220 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 8:41 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 41*s - 682. Calculate y(54).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609362 is divided by 3878?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 15*g.\nAnswer: -g*(g - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5\/4, -4, -11, -583?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68144, -68130, -68106, -68072?\n\"Answer: 5*b**2 - b - 68148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o + 1. Let r be h(1). Let w be (2\/r)\/(-2*1). Let z = -0.02 - -0.42. Which is the third biggest value? (a) w (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 168 - 85 + 11*q - 84 + 2*q + q - 4*q + 2*q - 2*q - 2*q + (-1 + 2 - 3)*(3 + 2*q - 3) - 2*q + 4 - 4.\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19800131 is divided by 655.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*o - 0*u + 9676, 0 = -3*u + 12. Factor -138*f - 74*f + o - 96*f + 5*f**2 + 88*f.\nAnswer: 5*(f - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1270 and -113\/12?\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -44 + 27 - 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -94, -80, -56, -16, 46?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*z + 8*z + 4 - 4*z + 13*z.\nAnswer: 94*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = 2 - 46. Which is the fourth smallest value? (a) 0.4 (b) -0.1 (c) -1\/4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1385 = -111*t + 1718 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 396568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 540\/(-144)*2\/(-3)*78\/(-15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 11*d = -2*g - 6, g - 10 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 13*t - 10. Let a be s(-5). Suppose l - 975 = -3*z, a = 3*l - 13 + 4. What are the prime factors of z\/15 + 3\/(-5) + 1?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 2*y**2 + 4*y + 2. Let q be c(2). Suppose 152 = 2*m + q. What are the prime factors of m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/3 + 267670*j - 66636052\/3 = 0.\nAnswer: 83, 401422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, -10, 3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2603 and 66101?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46957 is divided by 937.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8944959953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 370 and 1544750.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3591 smaller than -3592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 14*x - 20. Let p be y(4). Let c be (168\/p)\/(2\/((-12)\/(-1))). Which is bigger: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-5) + (-342)\/(-30). Suppose -3*b + n = 0, 14 = -3*d - 2*b + 7*b. Solve 4*y + 1 + 3 = 0, d*i - 4*y = 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 - 100*j + 22. Determine i(-33).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = g + 13, 7465*g - 7463*g - 2*y - 14 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 149.0721.\nAnswer: -1.490721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 16131.49 grams?\nAnswer: 0.01613149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzmqlmmmhzggmzzmgzmm. What is prob of picking 1 l and 1 g?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 9*a - 6. Is d(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11342159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4008, -5883, -7734, -9555, -11340, -13083, -14778, -16419?\n\"Answer: w**3 + 6*w**2 - 1900*w - 2115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 533*v**2\/2 - 3448*v + 1565. Differentiate c(l) wrt l.\nAnswer: 533","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439336699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 35\/(-25))*(7 + -2). Find the second derivative of -2*i**3 + 7*i + 100 - v*i**4 - 99 + 33*i - 27*i**3 wrt i.\nAnswer: -24*i**2 - 174*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13198*m**2 + 0*m**3 - 6601*m**2 - 6597*m**2 - 3*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 15 = 0, i - 1 = 4*b + 17. What are the prime factors of (i + (-87 - -6))\/(4\/(-40))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 295 - 296. Let s be (-8)\/(-12) + p\/73*49. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 z when three letters picked without replacement from {e: 5, d: 1, z: 1, t: 5, m: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1622? (a) 0.6 (b) 0.4 (c) 2 (d) -6 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/2)\/((-269)\/(5649\/(-1932)))?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5\/4, 11574.5.\nAnswer: -15, -5\/4, 11574.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542873269 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1385, -2775, -4165, -5555?\nAnswer: -6945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212346.\nAnswer: 2, 3, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1073 and 0.1314 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2399391258 by 6.\nAnswer: -399898543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*d = 8 - 38, -4*m + 3*d - 3 = 0. Suppose 0 = -2*h + 3*h + 2*h. Which is the closest to 0? (a) m (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c)*(5*c**2 - 3*c**2 + 0*c**2) + (152 + 36 - 27)*(0 + 0 - 3*c**3) - c**3 + 2*c - 2*c.\nAnswer: -486*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 13*a - 9. Suppose -3*u = 2*t + 11 - 40, 15 = 5*u. What is the remainder when r(-7) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -73*l + 1245. Let j be w(16). Which is the fourth smallest value? (a) -2 (b) -4 (c) -1\/3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -30. Suppose -46 + 1 = -r*t. Let p = -428 + 439. Solve -p*m = -t*m + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-380))\/(84\/300*-1)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137\/336 - -1\/48. What is the second smallest value in -6, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 50*n - 253. Let m be r(5). What is the remainder when (m\/(-8) - 0) + (-27951)\/(-88) is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 * 72.\nAnswer: 115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -934 = -3*w + 1103. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57\/(2*8\/24*35\/(-70)*15)\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.004 and -794681859.\nAnswer: -794681860.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2135, 1734, 1315, 872, 399, -110, -661?\n\"Answer: -y**3 - 3*y**2 - 385*y + 2524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22635422.\nAnswer: 2, 19, 107, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, k: 2}. Give prob of picking 2 l and 1 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 6*v**2 - 4*v - 7. What is the remainder when 31 is divided by d(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4026 and 132?\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 99\/(-15) - (-14)\/(-35). Let o be (d - -8)*(2 + -2). Let i(l) = 2*l + 85. Does 18 divide i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhhw when four letters picked without replacement from {w: 1, n: 5, j: 4, q: 7, h: 2, i: 1}?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*1 + sqrt(320) + sqrt(15)\/(sqrt(12)\/sqrt(4)) - (-4 + sqrt(15)\/sqrt(3) + (sqrt(80) + sqrt(5))**2 + -5).\nAnswer: -116 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 168 (c) -1\/2 (d) 3 (e) 33 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7002? (a) 617 (b) 2\/15 (c) -3\/5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/9 + 536*s\/9 + 17956\/9.\nAnswer: 4*(s + 67)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -11. Solve 0*q + i*q = -15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/120 + n**5\/20 - 5*n**4\/12 + n**3\/2 - 14*n**2. Let g be w(-5). Solve -2*t = g*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -507504 divided by 5\nAnswer: -507504\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**9\/63 + l**5\/6 - 12*l**2. Find the third derivative of t(j) wrt j.\nAnswer: 960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -224*g**2. Let b(x) = 9*x**2 + 6*x - 35. What is b(h(a))?\nAnswer: 451584*a**4 - 1344*a**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11573319, -23146634, -34719951, -46293270?\n\"Answer: -y**2 - 11573312*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 11:49 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**4 - 2*b**3*s**2 - 2*b**3*s + 4*b**2*s**2 + 4*b**2*s + 2*b*s**2 - 27*s wrt b?\nAnswer: -120*b - 12*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28647, 30281, 31915, 33549?\n\"Answer: 1634*u + 27013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 518588 to the power of 1\/2, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4539 = 7*n + 272*n - 12*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8992*y**5 + 96*y**4 + 11435713*y**2.\nAnswer: -539520*y**2 + 2304*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -282*v - 10584 - 354 - 4572 = 0 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 5*o - o)*(o - o + o) + (o + 3*o + o)*(2 - 1 + 0)*(2*o - o - 3*o).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14560 and 784.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101011201 + 2?\nAnswer: 1101011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*n**3 - 82*n**3 - 9*n**3 - 45*n**3.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 7:32 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/(66\/(-924)). Let t(y) = 2*y**2 - 2*y - 2. Let j(d) be the third derivative of d**5\/20 - d**4\/8 - d**3\/2 + 26*d**2. Determine k*t(g) - 5*j(g).\nAnswer: -g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from {s: 6, x: 4, j: 1, v: 1, u: 4, q: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 632*t - 148159. Calculate m(-182).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 11 - 5)*(0*b - b + 4*b) + (2 + 2 - 2)*(4 - 4 + 2*b) + 5*b - 4*b + b - 2*b + 2 - 2 in the form z + i*b and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*h + 25, 4*h + 2*n = 7*n + 20. Suppose 30 = h*t - 145. Suppose 5*b - 3*d - 86 = -30, 3*d - t = -2*b. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*g + 599200 = 335*g. List the prime factors of g.\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(171) - sqrt(171)*2 - sqrt(171))*-1 + -4*1*sqrt(171)*3)\/((sqrt(1296)*-1*3 - sqrt(1296)) + -6*(-1*sqrt(1296) - sqrt(1296))).\nAnswer: -11*sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 23595?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 6. Suppose -4*i - 5*z = -6*z - 11, 5*z = 4*i - 23. Suppose 0 = i*b + f - 10, -10 - 3 = -3*b - f. Let j(p) = 5. Calculate b*j(y) - 2*t(y).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -38*i - 659. Calculate the remainder when 1006 is divided by j(-19).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 10:32 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, and 1 b when three letters picked without replacement from bqbddtuuuuqudd.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o + 2. Let j(z) = 1. Let r(c) = -4*j(c) + k(c). Calculate the remainder when r(4) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3142130234 (base 5) to base 9.\nAnswer: 13366781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -15*r + 4. Let h be m(-1). What is the second derivative of 19 - 47 + 9 - 136*a**2 + 26*a + h wrt a?\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-148)\/3*((-9)\/(-6) - 3) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 210599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -588 - 1?\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4640, 2\/9 in descending order.\nAnswer: 4640, 3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvwwyqwgwvvvgy. Give prob of sequence yyg.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 14*x**5\/5 + x**4\/4 - x**3\/6 + x**2 - 3*x + 15. What is the second derivative of f(r) wrt r?\nAnswer: 336*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23220.15 decades?\nAnswer: 2786418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = r - 10636, 117*r - 113*r - 42578 = -5*p. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1061840, 1061844, 1061870, 1061930, 1062036, 1062200, 1062434?\n\"Answer: 2*b**3 - b**2 - 7*b + 1061846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-2)\/(-4)). Suppose 5*r - p = 2*p + 8, 4 = -3*r + 4*p. Sort -6, h, r in descending order.\nAnswer: r, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 11*r**2 - 10*r + 7. Let g be s(-10). Suppose x - 3*d - 14 = d, x = -3*d - g. Let f(l) = 7*l - 14*l + l**2 + 3*l + 2*l + 3 - l**3. Give f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42686096, -85372191, -128058286, -170744381?\nAnswer: -213430476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21211201 (base 3) in base 6?\nAnswer: 42244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-14)\/32)\/(15\/(-90))*26\/13.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.759098 - -5.75909912. Let y = 11 + o. Round y to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 + 9027570*i - 45137725 = 0 for i.\nAnswer: 5, 1805509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 19*z + 462 = 21*z, -4*z = -4*t + 392. Let l = -66 + 170. Let s = l - t. Solve -5*x + s*x = 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 0 - 20*u**3 + 2 - u**2 + 19*u**3. Let k be i(0). Suppose 0*t = -k*t + 200. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 - (141 + -16 + -12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*q - 394 = -222*q + 282. Solve 0 = -n - q*c + 33 - 30, -5*n + c = 29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 4*h + 40. Let z be p(-14). What is the common denominator of -28 and (z\/792 - (-4)\/2) + -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, l: 2, m: 5}. Give prob of sequence lkk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -3173.\nAnswer: -3175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 100*k**3 + k**2 + 4*k - 5. Suppose u + 0 = 1. Suppose -2*f - i = 9, 5 + u = -f + i. Let l be v(f). Round l to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - z**2)*(-10 + 19 + 19).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4416\/27600 + 586\/(-3975).\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/4)\/(i\/(i*(i\/i**(-5))\/i)*i*i))\/(i\/i**3*i*i\/(i**(-4)*i)*i))**17)**(-8) assuming i is positive.\nAnswer: i**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19 - 8*h - 19*h + 15 + 9*h - h**2. What is the units digit of q(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let y = 756.1379 - 0.1379. Let r = 755.7 - y. Put r, -11\/6, w in decreasing order.\nAnswer: w, r, -11\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*r = 35, -251 = 5*b - 10*r + 16*r. Sort 0, b, -1\/4 in descending order.\nAnswer: 0, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1312234 and 17042.\nAnswer: 1312234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 94777, 189554, 284331, 379108?\n\"Answer: 94777*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2859 divide 470122524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5094 * 4.\nAnswer: -20376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c + 76. Suppose 5*u = l - c, 0 = -2*l + 2*u + u + 17. Calculate the highest common factor of 10 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*q - 15, 2*b - 25 = -2*b + q. Suppose 0 = u + 1, -z + 3*u + 18 = -10. Let s = b + z. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*w + 8, 3*y - 7*w - 38 = -2*w. Find the first derivative of -1 + y + 0 + 3*n**2 + 4*n**2 wrt n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {y: 2, s: 8, n: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216329585 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/(-42))\/5*30\/20. Let o be 16\/72 - (-906)\/54. Which is the closest to l? (a) o (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**3 + 3*y**2 + 3*y - 1. Let a(k) = 5*k**2 + 12*k + 5. Let m(g) = 6*a(g) - 11*s(g). Factor m(x).\nAnswer: -3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 476268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d. Let n(z) = z**3 + 2. Let h be n(d). Solve 0 = -3*u - 4*x - 10 - h, 0 = -3*x - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*y + 92 = -283*y + 155*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - b. Let t(n) = -7*n**2 - 7*n + 1. Let s(f) = 6*c(f) - t(f). Suppose -6*o = -2*o. Calculate s(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 81, 179, 305, 453, 617?\n\"Answer: -j**3 + 23*j**2 + 2*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 686863049 minus -0.29?\nAnswer: 686863049.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1133 = 55*h - 682. Calculate the lowest common multiple of 54 and h.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -5, 8.\nAnswer: -5, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 7*o**2 + 6*o + 18. Suppose 14 + 7 = 3*q. Let b be g(q). Let p = -163 - b. What is the remainder when p is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -39*n**2. Let l(y) = -54*y. Give u(l(b)).\nAnswer: -113724*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 26*f + 35. Let w be u(-25). Solve -w - 1 = 3*l - 4*a, l = -3*a - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/3 + 40*d**3\/3 + 212*d**2\/3 + 136*d + 78 = 0. What is d?\nAnswer: -13, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6200 (base 9) in base 8?\nAnswer: -10670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4009050150?\nAnswer: 2, 3, 5, 7, 545449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46009333.\nAnswer: 46009333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t, 19*t - 17*t = -a + 197. Let u = a - 111. What is the highest common divisor of 86 and u?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 47 = -9*o + 7*m - 2*m - 8*m, -4*o = 5*m + 2*m - 56 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 94, 413, 944, 1687, 2642, 3809, 5188?\n\"Answer: 106*c**2 + c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064914 to 5 dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*k + 145*k + 5052 + 3788 = 103*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 15. Suppose -3*b = -k - 24, 3*b - 5*b + 5*k = -3. Are j and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/6 + 43*c**3\/6 + 97*c**2\/2 + 157*c\/6 - 245\/3 = 0. What is c?\nAnswer: -5, -2, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/72 and 103\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -583*a - 267601. Calculate u(-459).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 550*a**3*f*m + 3136*a**3*m - 35*a**2*f*m + a**2*m + 79*a*f*m - 7*a - 2 wrt a?\nAnswer: 3300*f*m + 18816*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -6*o + 12. What is the lowest common multiple of 14 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327439 is divided by 1879.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(-3*sqrt(720)))**2 + (sqrt(13) + 2*(sqrt(1053))**2)*-1.\nAnswer: -2729363\/1296 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1372*s - 1445*s - 1888*s.\nAnswer: -4705*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aag when three letters picked without replacement from {q: 8, a: 4, g: 4, c: 1, t: 2}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4340116019 to the nearest integer?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7006946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + 36. Suppose 20 = q*v - 77*v. Suppose -849 = -v*x - 149. What is the remainder when x is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 8:01 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 602 - 596. Which is the smallest value? (a) s (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*n - 0. Let w(q) = -q**2 - 12*q - 8. Let o be w(-11). Let p be (-3)\/2 + o + 15\/(-10). Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 2*g + 24*z = -869, 0 = 2*g - 4*g - 5*z - 108 - 70 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 22*r**3 + 12*r**2 + 12*r + 42. Let h = 4 + 8. Let c(d) = 9*d**3 + 5*d**2 + 5*d + 17. Let k(t) = h*c(t) - 5*g(t). Differentiate k(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 255, 946, 2025, 3438, 5131?\n\"Answer: -9*n**3 + 248*n**2 + 10*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-2 + 0)\/2). Let i = -1 + l. Let t(o) = -o**2 - 3 + 2 + 15*o**3 - 2*o - 18*o**3. Give t(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2018208 (base 10) to base 11\nAnswer: 1159345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n + 665 = 0. Let l be 3\/(-4) + n\/(-28). Suppose -p - 2*p + l*j + 129 = 0, 4*p = 2*j + 162. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -5\/4, -0.062?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -65, 13\/3, 1?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 3*q**2 - 33. Let u be z(5). Suppose -u = -k - j, -6*k = -5*k - 2*j - 130. Sort k, 4, 0.5 in decreasing order.\nAnswer: k, 4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7634464*l**3 - 131482815*l wrt l.\nAnswer: -45806784*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 0*y + 68 - 1\/2*y**2 - 2\/3*y**3 - 1\/4*y**4. Factor r(w).\nAnswer: -w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 36*m + 501. Determine a(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + -48. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - g - 85, -3*i - 55 = -g - 0*g. What is the remainder when 48 is divided by (-106)\/(-8) - (-5)\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 471840 divided by -29490?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59282432 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 least common multiple of 65664 and 1583232?\nAnswer: 14249088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - 11*y - 9. Let q = 10215 - 10213. Let g be (18\/(-4))\/(3\/(-6)). Let a(j) = -j**2 + 3*j + 2. Give g*a(h) + q*l(h).\nAnswer: -h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 5*y = -16 - 4, 0 = -b - 5*y + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 9 + 1)*(-5*n + 0*n + 2*n).\nAnswer: 45*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 236060798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 336 + -336. Sort s, 18, 2.\nAnswer: s, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (1 + 12)) + (-43 - -52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/7 + -6\/7. Suppose 4*f - 11 = -27. Which is the second biggest value? (a) x (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 5, v: 7}. Give prob of picking 3 v and 1 c.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 = -2*s + 5, 4*s + 38 = 3*f. Solve f = -3*i - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*o**2 - 2 + (-4*o**2 + 6*o**2 - 3*o**2)*(-2 + 2 + 3) - o**2 + 6 - 6 - 2*o**2 + 3*o**2 - 3*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/105419 and -7\/4065.\nAnswer: 1581285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -140827 divided by 26?\nAnswer: -140827\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5 + 0*p**3 - 2*p**2 + p**3 - 3*p**2. Suppose -s - 21 = -26. What is the least common multiple of x(5) and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + 0)*-3)**2*-1 + ((-4 + sqrt(1900)*2)**2 - sqrt(1900) - (2 + sqrt(1900) + (0 + sqrt(1900) - sqrt(1900)))).\nAnswer: -3330 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/567 and 64\/50085.\nAnswer: 150255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -3*a + 14, -172*o + 4 = -170*o + 2*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7276 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.726 + 0.698. Let l = 0.35 - 0.3. Let h = l + g. What is h rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 divided by -3\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**3*t**2 + 99416*q**2*t**2 + 9364470*t**2 with respect to q.\nAnswer: -12*q**2*t**2 + 198832*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -20*c**5 + 2*c**3 + 84*c + 1. Let p(s) = -40*s**5 + 5*s**3 + 171*s + 3. Let w(m) = 5*l(m) - 2*p(m). What is the second derivative of w(b) wrt b?\nAnswer: -400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -51, -105, -179?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -20*m - 24. Calculate the lowest common multiple of 8 and i(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:52 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/(-25))\/((-2)\/5). Let o be 6*(20\/8 - c). Suppose 0 = -4*g - o + 27. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 divided by 6?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*t**2 - 3\/4*t**3 + 0*t + 0 - 1\/4*t**4.\nAnswer: -t**2*(t + 1)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**4 - f - 14*f**2 + 4*f**6 + 35 - 35 wrt f?\nAnswer: 480*f**3 - 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 1, j: 3, i: 4, q: 1, v: 1, s: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12543 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 3*p = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l*l**10*l*l)*l\/(l\/(l\/l**(-2))) assuming l is positive.\nAnswer: l**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -75.6 (c) -0.15 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/23826 and 99\/190?\nAnswer: 119130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, n: 6, l: 9}. Give prob of sequence ynly.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13166 - -22911. What are the prime factors of q?\nAnswer: 5, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19858 - -39182. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -50\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 18 - 54 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. What is the first derivative of 18*b**j - 21*b**4 + 1 - 9 wrt b?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 6. Let v be c(9). Let b(r) = -r**3 + 3*r**2 + 2*r + 3. Let u be b(v). Suppose o = u + 1. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456762 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*k - 73 - 62. Let q(r) = k*r**2 - 9*r**2 - 12*r**2 + 6*r**2. Let c(z) = -35*z. Calculate c(q(a)).\nAnswer: 210*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-113)\/7 + (-8)\/(-56). Let i be 10\/125*-5 - 9\/15. Let j = i - w. Calculate the remainder when 59 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1 (c) -118 (d) 29 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 - 501?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 5*b + 1. Let h(y) be the third derivative of -y**5\/30 - y**4\/6 + y**3\/6 + 57*y**2. Calculate -4*h(m) + 3*n(m).\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 9*i + 11. Calculate g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 720\/(-168)*(-11179 + 0\/(-1)). Is (14 - l)*(-2)\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2 = 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -183153167732 less than 10.19?\nAnswer: 183153167742.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**3 + 7*v**3 + 18*v**3 + (v - 2*v - 2*v)*(-2*v**2 - 3 + 3) to the form n*v**3 + z*v**2 + c*v + s and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Let q = s + -3.99. Let r = -0.39 - q. Sort -4, r, 0.5 in increasing order.\nAnswer: -4, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of -1 + -4 - -3 - (-35 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/7 - 7 = 0 for i.\nAnswer: -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 304679?\nAnswer: 304679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.005 * 0.1\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/17, 2, 0.3, 1\/2, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-30))\/((-267)\/(-6)). Let s = y + -20033\/5340. Which is smaller: s or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:46 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:04 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(112) + -2) + ((2*sqrt(112) - sqrt(112))*4)**2)*-6.\nAnswer: -10674 - 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p. Let y(h) = 3*h. Suppose 4*m - 7 = -3*z + 3, -2*z + 9 = 5*m. Suppose -k = -z*k + 2. Give k*o(u) + 7*y(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 34. Which is the smallest value? (a) 0 (b) 18 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.19 in 3, -3, 4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 2 - 2)*(4*a - 11*a - a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**2 + t**2 - 3*t**2)*(2*t**2 + 0*t**2 + 27*t - 40*t) to the form r*t**2 + i*t + b + d*t**4 + g*t**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10553 - 290*v**5 - 10553 + 6*v**4 - 6*v**4 + 5*v**5 + (0*v + 0*v + 3*v)*(-4*v**4 + 2*v**4 - 2*v**4).\nAnswer: -297*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 619\/673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:07 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let i(o) = -30*o + 2. Let u = -6 + -1. Let j(t) = 89*t - 7. Let g(m) = u*i(m) - 2*j(m). What is a(g(k))?\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4853 + 4888. What is the least common multiple of 903 and t?\nAnswer: 4515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 3, 3*f - 4*c = 30. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9439 to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 4:09 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3302772086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3878335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - ((-20 - -10 - -21) + -10)) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*4\/(-18))\/((-30)\/90). What is the smallest value in f, 4, -3\/7, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.994534 millilitres?\nAnswer: 0.005994534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k. Suppose k = 6*m - 5*m - 2. Solve -g - 2*g + 1 = 4*w, 0 = m*w - 2*g - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2. Let w(i) be the third derivative of 0*i + 0 + 0*i**3 + 1\/8*i**4 + 14*i**2. Give w(l(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5899847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3193, -12745, -28663, -50947?\n\"Answer: -3183*i**2 - 3*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1. Let m(b) = 5*b + 2. Let i(w) = -m(w) - 6*q(w). Let x be i(-6). Suppose d - 5*d - 2*p + x = 0, 3*d - 33 = -3*p. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3650 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 8*n**7\/21 + 8*n**6\/15 - 11*n**5\/5 - 20*n**4\/3 - 22*n**3\/3 - 4*n**2 + 16*n. Let t(w) = 0. Calculate w.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26640523 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-2)\/(-1) + (-315)\/(-35). Suppose h*r + 32 = 152. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(18)*-5.\nAnswer: -75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366999707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513320339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -34. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 12*u**3 - 7*u**2 - 49*u - 67. Let t(l) = 6*l**3 - 4*l**2 - 28*l - 34. What is -4*c(w) + 7*t(w)?\nAnswer: -6*w**3 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21388, 21437, 21528, 21655, 21812, 21993, 22192?\n\"Answer: -q**3 + 27*q**2 - 25*q + 21387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -5*n - 24. Find m, given that -8\/3*m - 4\/3 - 4\/3*m**n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(33)\/sqrt(11) + sqrt(24)\/(sqrt(8)*-5 + sqrt(8)) + ((1*sqrt(192))**2 - (sqrt(3) - (sqrt(3) - (sqrt(81)\/sqrt(3))\/sqrt(9)))**2)*-1.\nAnswer: -189 - 25*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 4*p**2 + p - 6. Let g be c(5). Let h = 879 + g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -6.9163828?\nAnswer: -7.2163828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1105 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*u**2 + 16 + 488*u**2 - 272*u + 594*u**2 = 0.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 7. Let p(u) = 14*u + 22. Determine 3*p(f) + 8*s(f).\nAnswer: 2*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m - 60. Let b be c(-8). Suppose -6*d + b*d + 6 = 0. Calculate the highest common factor of 48 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90.8 + 87.8. Let c = 4.07 - 0.07. Let y = -15\/19 + -27\/38. Sort y, c, 1\/2, v in increasing order.\nAnswer: v, y, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 + 3. Let v be m(-4). Let g(h) = -2 - 4*h**3 + 2*h**3 + 3*h**v + 3*h + 6*h**2. What is the remainder when g(-5) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1016547 and -107\/871326?\nAnswer: 6099282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-3 + (-47)\/(-15)). Let f = -229\/3 + 77. What is the nearest to -2\/13 in q, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 3. Let m(k) be the first derivative of 2*k**3\/3 + 9*k**2 - 4*k + 20. Let t be m(-9). Let r(q) = -2. What is t*b(j) - 6*r(j)?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/3 - 4*y**4\/3 - 50*y**3\/3 - 20*y**2\/3 + 56*y + 48 = 0. What is y?\nAnswer: -3, -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146410.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = -4*s + 3, -t = 3*s - 9. Solve s*x = 5*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10944)\/53504*4\/3.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132340, 264686, 397032, 529378?\nAnswer: 661724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -35.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 5*f)*(-4*f**3 - 12*f**2 + f**2 + 2*f**3).\nAnswer: -10*f**4 - 55*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 20. Which is the nearest to f? (a) 0 (b) -1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 15*i + z + 1 - 17 = 6*i, 5*z = 4*i - 34 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 6*y**2 + 3*y + 1. Let i(l) = -11*l - 117. Let p be i(-10). Determine j(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 16. Let m be (-2)\/(-4)*0\/(-6). Let g be u(m). What is the highest common divisor of g and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1093 divided by -4.\nAnswer: 1093\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 0.1 (c) -295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**5\/20 + 3*o**4\/4 + o**3\/3 + 11*o**2\/2 - 51*o. Give s(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 6 - (-54)\/(-5). Let s = -11 - l. Let v be (-2)\/8 - 1\/(-4). Is s bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 558*h - 3344. Let v be y(6). Solve 0 = -v*t + d - 13, -5*d - 11 = 4*t - 4*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4017 = -27*w + 12318. Calculate the highest common divisor of 110 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + o**3 + 4*o**3)*(0*o + o**2 + 0*o) + 3*o**5 + 14*o**5 - 2*o**5.\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, 151, 1611, -2, 1 in ascending order.\nAnswer: -2, -1, 1, 12, 151, 1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 9 + 1 + (-2 + 3 - 3)*(-4 + 3 - 1) - 2 + 5 - 2)*(-2*q - 1 + 1)*(-4 + 1 + 2) in the form w*q + x and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((168\/5)\/(-6))\/(-6*9\/135).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.6. What is f rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + 4 + 2 + sqrt(180) + 5)**2.\nAnswer: 120*sqrt(5) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 1 - 3)*(-4 + 1 + 1) - 24 - 281 - 122)*(7*p - 4*p - 2*p) as c + m*p and give m.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*l*m + 65373392*l + 8095153*m wrt m?\nAnswer: 10*l + 8095153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 4812.\nAnswer: 33684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 3*j + 66 - 66 to r*j**2 + d*j + i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, r: 2, h: 2, u: 2, p: 2, s: 1}. What is prob of sequence phuh?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**3 - 28*j**3 + 59*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 3*l**2 + 2*l + 6. Let c be t(-3). Let -2*r - 10*r**2 + 2 + 9*r**2 + 3*r + c*r = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttotcttctctcttc. What is prob of picking 2 t and 2 c?\nAnswer: 55\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521891 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/3 + 150035*w**2 - 150036*w - 900212\/3 = 0. Calculate w.\nAnswer: -450106, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 12:04 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 718668151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 135, 0.5, 2\/3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgzq when four letters picked without replacement from {t: 1, z: 1, r: 5, g: 1, q: 2}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122632, 245275, 367928, 490591, 613264, 735947?\nAnswer: 858640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 t when three letters picked without replacement from httthmxtt?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(9\/5))**(-48) assuming f is positive.\nAnswer: f**(-432\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 94758 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3778974*g*w - 9079685*g + 3*w + 1 wrt w.\nAnswer: -3778974*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1085617 + 3256886 + p - 1085647 - 1085622.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78.37 - 78. Let q = v + -0.07. Let i = q - 0.4. Which is the nearest to i? (a) -4 (b) -3\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23777 (base 11) to base 4.\nAnswer: -20112132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 2*q**2 + 3*q + 1. Calculate d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(35)\/(sqrt(5)*-1) + -3)**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299489115 bigger than 1299489115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - n - 2298 = 0, -m + 0*m = 4*n - 447. Suppose 4*s = -z + 602, -3*s + 5*z - 2*z + m = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/754 - 1129\/1508. Let r = 1 - 0.9. Let o = -0.2 - r. Put o, -1\/3, z in descending order.\nAnswer: o, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102.53 + -3.83. Let r = 99 - b. What is the smallest value in -3\/2, 0.2, r?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133681717, 133681719, 133681721?\nAnswer: 133681723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + 17.1947?\nAnswer: 14.9947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/16)\/(144\/(-64)). Which is the nearest to 0.2? (a) o (b) -1\/3 (c) 0 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1571 - -1571.557. Is -1 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151513\/2070 + 83\/230. Let p = 5755\/72 - j. Find the common denominator of ((-182)\/24)\/(12\/(-8)) and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**1))**(-30)\/(p**(1\/4))**5)\/(((p**(-1)*p)\/p)\/(p*p**5))**(-34) assuming p is positive.\nAnswer: p**(-1077\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -332, -353, -394, -461, -560?\n\"Answer: -h**3 - 4*h**2 - 2*h - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8*-2)\/(((-110843)\/(-40198))\/(-557)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53 - 42127028?\nAnswer: -42127082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11.1+-5\nAnswer: -16.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 3, w: 5}. What is prob of picking 1 w and 3 i?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17955984211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14073518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 573843 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9718 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 296251644 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 485418, 970921, 1456424, 1941927, 2427430, 2912933?\n\"Answer: 485503*u - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4937 minus -63242156?\nAnswer: 63242155.5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by 10?\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 9*g + 6. Let c be v(-4). Let w be 5 + (c - -2)*2\/(-4). Solve -2*a - w = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 2 - (-336)\/(-35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-594) + (-12 - 326\/(-27))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 1678?\nAnswer: 17\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/((-8)\/1) - -62. Suppose -5*c - 8 = -u. Solve 15*k = c*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 8:18 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7250599429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 2*s**2 - 2*s**2. Let a(u) = u**2. Give a(r(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -343 - -412. What is the third derivative of -m*p**6 - 3*p**6 - 55*p**6 - 37*p**6 + 47*p**2 + 215*p**2 wrt p?\nAnswer: -19680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 12042653 + 0*t**3 - 12042653.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129728 (base 14) to base 8.\nAnswer: -2343370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2165 - -0.0445. Let t = q + 4.17. Round t to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*103.\nAnswer: -5665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-18) - 25949\/3033.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlg when three letters picked without replacement from {n: 1, g: 7, l: 6, t: 6}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -523\/3 + 5723\/33. Let t = -49\/66 - z. Suppose 0 = 4*h - 33 + 13. Which is the closest to h? (a) 0.4 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -52*j - 4262. Let v be y(-82). Let i(k) be the first derivative of 34 + 6*k + 3\/2*k**v. Differentiate i(h) wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 divided by -9?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3487680 and 39963.\nAnswer: 38364480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/((-648)\/(-809632))*(-12)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 30, 0 in decreasing order.\nAnswer: 30, 0, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2019*b**2 + 1645*b wrt b.\nAnswer: -4038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -196, -176, -138, -76, 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -98*h**2 - 21*h + 32. Let f(c) = -23*c**2 - 5*c + 8. Calculate 17*f(z) - 4*p(z).\nAnswer: z**2 - z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {v: 3, e: 8, j: 6}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 95 = 2*d + 5*k, 93 = 2*d + 3*k. Suppose 3*w - 4*b = -12 + d, 4*b = -w - 5. List the prime factors of 44\/w - 2\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-12))\/(14\/(-63))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - q**2 - 2 + 2. Let o(a) = -a**3 - 4*a**2 + 6*a. Let j(n) = n**2 - 4*n - 1. Let k = -39 + 43. Let v be j(k). Determine v*o(l) + 4*g(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 - -179. Suppose r - 6 = -4*b, -2*r - 5*b + 18 = -3*b. What is the greatest common factor of r and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 + (191 - -19)\/(-15). Let t(x) = -x**3 - 28*x**2 - 96*x - 8. What is t(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 24961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1731*i - 71*i**2 - 1731*i)*(i + 0*i - 2*i) to the form g*i + z*i**3 + v + f*i**2 and give z.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, u: 3, i: 4, z: 2}. What is prob of sequence uziz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**3 - 25*b**2 + 140*b + 175. Let q(k) = -9*k**3 + 50*k**2 - 279*k - 352. Let i(a) = 14*g(a) + 6*q(a). Suppose i(u) = 0. What is u?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 639\/(-28) - (-120)\/210 and 97\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.58 + 0.42. Let m = 12 - p. Let g = -2 - -2. Which is the third smallest value? (a) -1\/4 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*j**2*q - d*j**2 - 234*d*q - 422*j**2 wrt q?\nAnswer: 2*d*j**2 - 234*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -112, -282, -506, -778, -1092?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, and 2 x when four letters picked without replacement from gxmxt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 3*c + 4*c - 10*c + 4*c - 3*c to m + w*c and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 3*x - 3*x)*(60546*x - 30096*x - 30062*x).\nAnswer: 388*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 5*h = 5, 5*i + 2943*h - 2941*h - 40 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d - 2)*(0 - 4 + 2) - 6*d + d - 11*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-1)\/1 + 1)\/(-2))\/(-1). Solve k = -5*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r - 83. Let l be z(19). Suppose 7*u + 5 = l*u. Solve u + 4 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 7*j**2 - 8*j + 6. Let p be q(6). Let z = p - -9. Solve 0 = l - z*i - 8, -i - 13 + 5 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 56. Let r = -33 + m. Calculate the remainder when 6 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88812.31*0.4.\nAnswer: 35524.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 53*o - 642. Let v be p(-21). What is the greatest common factor of v and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4116 - 4113. Let n(x) be the first derivative of -13 + 0*x + 0*x**o + 9\/2*x**2 - 7\/2*x**4. Find the second derivative of n(i) wrt i.\nAnswer: -84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*d + 1609 + 7715. What is the greatest common factor of 651 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*l + 2 - 0, -5*a - 4*l + 28 = 0. Let x(f) = a*f - 2*f - 10 + f. What are the prime factors of x(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 6*n + 6*n + 16 = -2*q + n, -15*n = -14*n for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 - -0.73. Let v = u + -0.02. Suppose 4*x = 4 + 12. What is the second smallest value in v, -2, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21809*d + 21809*d - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164090 - -164097. Let k(t) = 2*t**2 + t + 1. Let l be k(-1). Solve -3*n - 2*a = -l*n + w, -a - 2 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -9721, 0.2, -85?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 19. Let h be d(-9). Suppose 4*i - h = 3*i. Let n = 15 + i. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**8)\/f)\/(f*f\/(f\/f**(1\/10)*f))*f**(-2)*f\/(f\/f**8) assuming f is positive.\nAnswer: f**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2 - 2154278580*v - 232045810012340820 = 0. What is v?\nAnswer: -215427858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318 and 16355641?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72190 and 72190?\nAnswer: 72190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*1 + 3 + 0 + sqrt(612) + -5.\nAnswer: -2 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675309*l - 675309*l - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(68)*4)\/sqrt(2)*-2)\/(3*(sqrt(2) - sqrt(8)\/(sqrt(12)\/sqrt(3)) - (sqrt(2) + 3*sqrt(18) + sqrt(2) - sqrt(2)))).\nAnswer: -16*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - 1e?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 185\/65 - (-4)\/26. Suppose -s + 3*l - 9 = -2*s, 2*s - d = -l. Suppose -4*u + 147 + 49 = s. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*6)**2*-5*-3 + -1.\nAnswer: 92339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -3 + -1 + -3 + (-160 - -159) + 27.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -277864538 - -0.5.\nAnswer: -277864537.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 1, p - x - x - 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4554 greater than -4544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c + 6 = 0. Suppose 0 = 5*g - 11 + c. What is the highest common factor of 4 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/16632 and -53\/396?\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23710557.\nAnswer: 3, 13, 53, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 20 - 5, 4*u = 2*s + 430. Suppose 0 = -4*y + 9*y - u. 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: What is 27192486 divided by -4532081?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12098526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*b + b - 810, -b + 1350 = 5*n. Suppose -d - 5*f + 54 + 50 = 0, 0 = 3*d + f - n. What are the prime factors of d?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*((-133)\/19)\/315?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*-293.\nAnswer: -615.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 89 and 2242\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156078\/(-3770) - (6 - 148\/20).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 352100122 (base 6) to base 14\nAnswer: c23390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -22. Suppose -2*v - 10 = 0, 2*v - 3 = 5*p - 23. Let q(r) = 10*r**2 + r + 1. What is the remainder when q(p) is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4557760817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 times 1.3?\nAnswer: -191.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65541199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i. Let n(b) be the first derivative of -7*b**2\/2 - 1. Let m(r) = 10*r. Let h be (-2)\/(-4) + 9\/2. Let c(d) = h*m(d) + 7*n(d). What is z(c(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24307, -24307, -24317, -24337, -24367?\nAnswer: -24407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -38, -58, -80?\n\"Answer: -n**2 - 15*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 9:02 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 151109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 2:41 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3\/8, -0.2, -149, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6087466350 a multiple of 17265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + (sqrt(396) - -2*sqrt(396))))\/sqrt(11))\/(sqrt(12) - (sqrt(48) + sqrt(12) + sqrt(12))*-1).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 682743\/7 - 97535. Suppose 0*t - 13 = -p - 4*t, 0 = 4*p + 5*t - 19. What is the smallest value in -0.07, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 4918226.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3991*k - 4007*k + 160 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**6 + 9*n**4*p + 87*n**2*p + n**2 - 3 wrt n.\nAnswer: 360*n**3 + 216*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10558 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1333 and 0.483586.\nAnswer: -1332.516414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/2746 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:52 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.025 and 1215045631289.\nAnswer: 1215045631288.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x**2 - 9*x**3 + 2 - 7*x**3 + 15*x**3 + x as r + n*x + c*x**3 + j*x**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -135*k + 10392. Let c be j(77). Suppose 0 = 3*w - 8*w + 10. Put c, 0, w in decreasing order.\nAnswer: w, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 108*q**2 + 3*q + 308. Let b be r(-108). Let w(n) = 3*n**2 + 48*n + 4. Calculate w(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100089 = -137*r - 90910 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36954158 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 93*k**4 + 188*k**3 + 4*k**2 = 0. Calculate k.\nAnswer: -2, -2\/93, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 125?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 5*x**2 + 3. Let z be g(5). Suppose -3*c = 3*u - 2*c + 5, 0 = 5*u - 3*c - 15. What is the derivative of z*q**2 + u*q + 0*q - 4 wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*b - 72*b = 30. Suppose 4*c + 12 = 0, -b*c = 5*x - 202 - 173. Let y = x - 11. What are the prime factors of y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u**2 - 11*u - 29. What are the prime factors of g(-5)?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136432144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11231)\/(-22) + 6\/(-12). Let z = -337 + 630. Let g = i - z. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-4)*((-93)\/(-8))\/1)\/((-75)\/100)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10711, 10710, 10709, 10708, 10707, 10706?\nAnswer: 10705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*y - 3 - 32, 2*x + 40 = 4*y. Let f = x + 33. Let z(j) = -6 + 8*j - 7*j**2 + 3*j**2 - 4*j**2. Let p(c) = -7*c**2 + 7*c - 5. Give f*p(r) - 6*z(r).\nAnswer: -r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 0*r + 3*r)*(0*r**2 - 2*r**2 + 3*r**2) + (2*r - 2*r - 3*r**2)*(28*r - 95 + 95) + r**3 + 0*r**3 - 2*r**3 - 9*r**3 + 15*r**2 - 15*r**2.\nAnswer: -95*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/624*1)\/(((-99)\/(-36))\/(-11)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -252, -254, -256, -258?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/4 + 332\/(-96) and -45 + 32 - 37782\/(-2943).\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)\/(l\/((l\/(l*l**(2\/15)*l))\/l*l)))\/(l**(-1\/16)\/(l**(-1\/2)*l*l)))**(2\/47) assuming l is positive.\nAnswer: l**(-257\/5640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g + 3. Let q(p) = 0*p + 0*p - 6 - 9*p + 1. Let h(v) = 5*n(v) + 3*q(v). Let w(u) be the third derivative of 5*u**4\/24 + 9*u**2. Give h(w(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 158821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -37.5. Let r = 72698524.5000059 - 72698538. Let g = r - o. Round g to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2119104 divided by 6.\nAnswer: -353184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -13, 4, -48?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000041959 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 239*n**3 - 243*n**3 - 2*n**2 - 5*n - 14*n to q*n**3 + l*n**2 + s*n + b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/18)\/((-1)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.4 and 925.\nAnswer: -4995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/((-12)\/(-2160)). Suppose -n = -o - 5*o. Are 26 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10887990 and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 30*l**2 - 196*l + 241. Calculate h(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -25. Suppose 3*m + 4*f - 6 = 3*f, -2*m - 3*f + l = 0. Is (m - 2) + (-3504)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/(-4)*(21\/3)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let f = t + 1. Calculate the remainder when 2 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**2*l)*l)\/l)\/l**(-1\/6) assuming l is positive.\nAnswer: l**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 16*p - 3*p - 6*p)*(0*p - 4*p + 3*p).\nAnswer: -7*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -5*f. Let x be (-16)\/(-4*f\/4). Let h = -13 + 33. What is the greatest common divisor of x and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1692.\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5975.174nm in meters?\nAnswer: 0.000005975174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -26 + 26. Suppose s = 42*u - 37*u - 2*t - 2883, 0 = 3*u - 3*t - 1728. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*v + 120236, 3*f + 60115 = -30*v + 32*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - y + 1. Let n(m) = 11*m**2 - 6*m + 6. Determine 6*a(s) - n(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 14*q - 11. Suppose 4*d = -0*p - 3*p + 10, -5*d = 5*p - 25. Suppose -3*l + 3 = -6*l, 2*s - 2*l - p = 0. What is the units digit of i(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43363972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d - 3*d)*(5*d + 3 - 3) + (0 - 2*d + 0)*(-d - 2 + 2).\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (90\/(-24))\/(2\/(-8)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10949145 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5\/6 - 2*d**4\/3 + d**3\/2 + 7*d**2\/3 + 4*d\/3 = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 5 - 6*t + 3*t**2 - 7*t + t. Let d be q(2). Solve 0*j = -2*j - 3*k - 10, j = -d*k - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-27*1)\/(-3). Factor -2*d + 7*d**5 + 0*d + 6*d**2 - j*d**4 - 5*d**3 + 3*d**2.\nAnswer: d*(d - 1)**2*(d + 1)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 87544.\nAnswer: 13\/87544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/20 + x**4\/2 - 12*x**2 + 5*x. Let d(l) = 3*l**2. What is m(d(k))?\nAnswer: -27*k**4 + 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m**2 + 23*m**2 - 2539 + 5120 - 2579 - m**2 - 2*m**2.\nAnswer: 42*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 6*p**2 + 47*p + 270. Let x be r(-8). Solve 0 = 5*y + j - x, 2*j = -0*y + 5*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(833)*-2)**2 + 1.\nAnswer: -13327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.0479 + 2.0484721. What is g rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2. Let a(x) = 323087*x. Give b(a(n)).\nAnswer: -208770419138*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjojhhjjojoo. Give prob of sequence jhh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 16*a**2 + 27*a - 59. What is the units digit of w(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -82, 13, 146, 317?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-1 + 36 - 22) + -20 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 75, 81, 75, 57?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - ((sqrt(68) - 2*sqrt(68)) + sqrt(68) - sqrt(68)) - sqrt(68))*1)\/(sqrt(176)\/sqrt(11)) - (5 + 0 + sqrt(612))**2*-4*-1.\nAnswer: -2548 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from {q: 1, e: 1, i: 1, z: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 2*p + 1 - 2*p - p**2. Let f(r) = -12*r**2 - 10*r + 10. Suppose 2*j - 6 = -0*j + q, -4*j = 3*q + 8. Let v = j - 2. What is v*f(y) + 10*w(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -191*d**4\/2 - 646*d**3\/3 + 640. Find the third derivative of h(p) wrt p.\nAnswer: -2292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 2*p**2 - 8*p**2 + 4*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 579.5643ml in litres?\nAnswer: 0.5795643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 362394 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.29535 (b) -1 (c) -1609\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 66 + 33 = 0. Suppose 0 = -h*v + 1649 + 1552. 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 prob of sequence is when two letters picked without replacement from {s: 11, i: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 745768049*y**2 + 8*y - 39694327 wrt y?\nAnswer: 1491536098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6655*p - 7192*p - 12578*p.\nAnswer: -13115*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68912238 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1601 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 11*c - 6. Let s be k(-10). Suppose -5*t - 5*h = -435, s*t - h = 2*h + 362. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586449, -586010, -585571?\nAnswer: -585132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(7)*2) - (-1*sqrt(76))\/sqrt(4) - ((sqrt(228)\/((sqrt(132) + -2*sqrt(132))\/sqrt(11)))**2 + 1))*-1.\nAnswer: -3*sqrt(19)\/2 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - 22*x - 37. Let t be z(7). Let s be 2\/1 + (-10)\/8. Sort s, t, -1\/3, -1.1 in descending order.\nAnswer: t, s, -1\/3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*x**3 + 76167*x**2 - 306513*x + 2.\nAnswer: 702*x + 152334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-902*q + 3 + 892*q - 1)*(-3 + q + 3)*(3*q**3 - 2*q**3 + 0*q**3).\nAnswer: -10*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5094 and 3.\nAnswer: -1.5282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5709283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + 4*t)*(0*t**4 + t**4 + t**4) - 1 - 2*t**5 + 1 + (-49 - 15*t + 49)*(-t**4 + t**4 - 2*t**4).\nAnswer: 32*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 312.9, 2, 2\/11 in decreasing order.\nAnswer: 312.9, 2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 126 = 162. What is the smallest common multiple of g and 62?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 314022 (base 8) in base 11?\nAnswer: 7153a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o + 20*o - 9*o)*(10 + 0 + 2).\nAnswer: 324*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15428 and 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64480, -128939, -193340, -257653, -321848, -385895?\nAnswer: -449764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-482)\/(-2) + (-2 - -1). Let i = 344 - u. Suppose 2*w = -2*c + 38, c = 5*w - 3*c - i. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/11 + 14*o\/11 - 24\/11.\nAnswer: -2*(o - 4)*(o - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 20*h**2 + 20*h - 2. Let w(x) = -7*x**2 - 7*x + 1. Suppose 0 = 2*u + 5*j, -3*u + 31*j - 36*j - 5 = 0. What is u*q(i) - 14*w(i)?\nAnswer: -2*i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -90*((-10)\/30 + (-4)\/6). What is the greatest common divisor of 99 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 244 + -221 - (2 + 0)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 2\/11, 7357 in descending order.\nAnswer: 7357, 65, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(-1)\/6*3. Suppose -5*m = z*o + o - 725, 0 = m - 4*o - 150. Suppose 7*n - 601 + m = 0. List the prime factors of n.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 m when three letters picked without replacement from {m: 7, k: 5, e: 3, d: 2}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 27?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*d + 7 = 0, -d - d = -3*k + 1. Let i = 39 - 41. What is the closest to k in -0.3, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 34*y**3\/3 - 2*y + 101. Let p(m) = -2*m**2. Calculate a(p(i)).\nAnswer: 136*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 37 (b) 2\/5 (c) 7\/8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 y when four letters picked without replacement from {p: 4, y: 4, o: 4, b: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoqh when four letters picked without replacement from hqoqqqaqhoqooqaajo?\nAnswer: 7\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17\/((-238)\/108)*(-1428)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*b - 287*b = 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let h(c) = -322*c - 1629*c - 403*c - 1516*c. Determine h(u(f)).\nAnswer: -3870*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7500 < 4830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.9372111 and -525?\nAnswer: 518.0627889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000515898 rounded to seven dps?\nAnswer: 0.0000516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*k = -431*k + 871*k + 456 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5346920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 8*r**2 - 7*r**2 - 4. Let c(h) = -5. Give -4*c(j) + 5*z(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1020011012211011?\nAnswer: -1020011012211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20014 (base 6) to base 16.\nAnswer: -a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 1324?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.013 - 0.243. Let x = b + 0.13. Which is smaller: -11 or x?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**4\/8 - 47*t**3\/6 + 121*t**2. Determine n(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5*90\/60. Let j = -2.4 - -2. Which is the closest to z? (a) 0 (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 16) to base 3\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 18. Let n = -13 + v. Let 0 + 0*z - 6 + 3*z + n*z**2 + 6*z = 0. Calculate z.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 3, h: 1, j: 2, i: 1, s: 3}. What is prob of picking 1 j and 2 b?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/8 - z**3\/3 - 56*z**2. Suppose 3*q = -3, 16 = 3*h - 8*h + 4*q. Calculate i(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l*l**13))\/l**15 assuming l is positive.\nAnswer: l**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -21*o - 31. Let r(i) = i**3 - i + 1. Let l(s) = 6*s**3 - 2*s + 4. Give o*r(y) + l(y).\nAnswer: 2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -57*i**4\/4 + i**2 - 22*i + 1. Let z(x) = x. What is k(z(p))?\nAnswer: -171*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**4 + 197*d**3 + 764*d**2 - 65*d - 900 = 0.\nAnswer: -45, -4, -5\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18086?\nAnswer: 2, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 118*k + 390. Determine i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2177 - 2107. Solve -2 = -12*d + z for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-8)*8\/30. Suppose -5*j = -2*j - 42. Let q = 27\/2 - j. What is the closest to c in -4, q, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2156 * 0.5\nAnswer: 0.1078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2279\/7 - 325. Let p = 118 - 592\/5. Which is the second smallest value? (a) p (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1075240 (base 9) to base 16\nAnswer: 8de5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*s = p + 54, -2*p + 2*s + 102 = 0. Let w = p + -49. Suppose -8*g + 4*g - 4*i = -36, 23 = w*g + 2*i. Solve 0 = -4*z + g*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 512*v**2 + 4455*v + 70. Give q(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, n: 1, v: 1, t: 1}. Give prob of sequence vn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*j, -3*q + 5*j - 24 = 4. Let f(g) = 9*g**3 - 1. Let n be f(q). What is the units digit of 2 - 2 - n - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53426.\nAnswer: 2, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 11) to base 14\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8643908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 88.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0220300764 to 4 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-5)\/(-60)*-2. Sort 2\/21, g, 14.\nAnswer: g, 2\/21, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589736 is divided by 866?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 times -19297?\nAnswer: -2122670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 - 2 = 0. Suppose 2*w - 92 = -m*a, 5*w + 17 = -a + 52. Let t = a + -18. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 6 - (-8 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millennium in centuries?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 75 = 5*z - 2*z, -2*z = -5*j - 414 + 357 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68475777 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/(-1090))\/((-1)\/30). Let n = 91781\/327 + b. Let m = -290 + n. Calculate the common denominator of m and -49\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4278871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 197*5.4\nAnswer: 1063.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245 - 240. What is the third smallest value in -0.5, 3\/25, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17124717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -8. Let r = -1.91 + -0.09. Let h = -2563\/2 + 1281. Which is the nearest to -2? (a) h (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9529824?\nAnswer: 2, 3, 53, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3865783 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 31?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/13 - 5354*y**4\/13 - 717962*y**3\/13 - 7119686*y**2\/13 + 1262668*y - 659360 = 0.\nAnswer: -2536, -130, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s. Let z(v) = -v. Let y(l) = -q(l) + z(l). Let m be (-3*43\/6)\/((-2)\/4). Let f(h) = -92 + 9*h + 49 + m. Give y(f(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqqx when four letters picked without replacement from xgxqqhqgxt?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -860172*h - 728300.\nAnswer: -860172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -350.77 - -37.37. What is n rounded to zero decimal places?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269101420 rounded to the nearest one hundred thousand?\nAnswer: 269100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let l(i) = -12*i**2 - 6*i**2 + 30*i**2 - 16*i**2. Give k(l(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3705 and 5610?\nAnswer: 1385670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 6\/1 + (-2)\/(-1). Determine g so that 10*g**3 - 14*g**5 + 21*g**5 - 5*g - 12*g**k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125*g + 20*g - 178*g - 81*g to the form u*g + j and give u.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4*l - 15 = 0. Let m(f) = 2*f**3 - 7*f**2 + 14*f - 17. Let y be m(l). Let i = 218 - y. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 6*o**2 - 9*o - 7. What is n(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.959 - -0.031. What is h rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101011000 - -1101?\nAnswer: -110101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 + 132. Which is the second smallest value? (a) -1 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -19. Suppose 3*a - 1059 = -b*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-14))\/(5832\/2268)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 12*z - 11*z. Sort 2, 3, -4, z in descending order.\nAnswer: 3, 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324*o**3 + 7018344*o**2 + 24951040*o + 22177792.\nAnswer: 4*(o + 21658)*(9*o + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = w + 1, 0 = 2*t - 2. Let a(c) = c**3 + 12*c**2 - 9*c - 14. Does 16 divide a(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 1227*v**3 + 4914*v**2 + 4932*v + 24 = 0.\nAnswer: -2, -2\/409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16769774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 33. Which is bigger: 3\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let o be k(4). Suppose o = -2*x + 12. Sort x, -5, -1 in decreasing order.\nAnswer: x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00321162937 rounded to six dps?\nAnswer: 0.003212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 351024182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -507.45301 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 1 i when three letters picked without replacement from iximwixyxiwkxiy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*p - 5*y, 2*p - 4*y + 12 = -4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/8*8\/(-192)*-16?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3 + 2, 2*c - 53 = -f. Let j = 12 - -5. Let r = c - j. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdbsdslddls. Give prob of sequence bd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6469 and -0.7.\nAnswer: -4528.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0435071*-257.\nAnswer: 11.1813247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -7*b**3\/3 - 4. Let m(y) = 2*y. Give x(m(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/161 (b) -5 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573663 is divided by 3902?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - -465362?\nAnswer: 465345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22530 + 22594. What is the third smallest value in -0.2, 1.9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = -8. Suppose 2*h - 16 = -r*h. Suppose 5*d - h = 3*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4074 + 7543. Suppose 6*b - x = 4*b - 3*d, 4*d - 5201 = -3*b. List the prime factors of b.\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 278208 and 2058.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 1184\/22 + (-148)\/(-814).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/4888 and 49\/282.\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 27720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1787649*r**3 + 45*r - 1787627*r**3 - 20*r**2 + 20*r**2 + 76*r in the form t*r**3 + v*r + d*r**2 + g and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/636414 and 53\/14.\nAnswer: 4454898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*g + 18. Suppose -3*o = g*l - 8*l, -4*l = -5*o + 13. Suppose 3*z - 14 = z - o*a, 5*a - 12 = -z. Solve -z = -v - 2*u, -5*v - 3*u + 2 = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 a when three letters picked without replacement from zuaucuzuzczzmcczdmd.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g**3 + 2*g**2 + 2*g + 2. Let h be r(-2). Let i be (-2)\/(-7) - h\/(-112). Let y = 5 + -1. What is the third biggest value in i, 1, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/21 + (-288)\/(-210). Put j, 5, 0.4, 0.5 in ascending order.\nAnswer: 0.4, 0.5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -55\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 341?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.209\nAnswer: 0.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -147*d - 1034. Let b be m(-8). Sort 0.4, 5, -2, b in descending order.\nAnswer: b, 5, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 4, e: 7, r: 2, w: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4053, 16170, 36357, 64608, 100917, 145278, 197685?\nAnswer: 258132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.9. Let g = -0.33 + -14.67. Let f = g + 14.7. Is p less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 318 and -299.1?\nAnswer: -95113.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-3*p**3 + 3*p**3 + 2*p**3) + (2*p - 2*p - 6*p)*(2*p**2 - 2*p**2 - 3*p**2).\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22702990 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 334 + 5386. Is 40 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 4. Determine s(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**11*r)\/r*r*r**(-1)*(r\/r**(4\/9))\/r**(-1) assuming r is positive.\nAnswer: r**(140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3, -0.01, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005927 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(1584)*-1))**2 - 6*(sqrt(19) + sqrt(19) + -1)*5.\nAnswer: -60*sqrt(19) + 4339\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1971425 minus 1712?\nAnswer: -1973137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.967518ml to litres.\nAnswer: 0.008967518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000209 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.217244 times -0.1?\nAnswer: -0.0217244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.21 or -161303?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*m - 2*c + 103, -152 = -3*m - 4*c. Let p = -30 + m. What is the highest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9 - 19 = 0. Which is the smallest value? (a) w (b) -0.03 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1990.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -18. Suppose 2*p - f = p. Let t = 16 - p. Solve 0 = -5*b + t + 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/18)\/(2970\/1782).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-9)\/(-144)*-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(144))\/((sqrt(72) - (-2*sqrt(72) + sqrt(72)) - sqrt(72))\/sqrt(9) + sqrt(8) + sqrt(8)) + 4.\nAnswer: 2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2276742e + 5?\nAnswer: 22767434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7, 44, 179, 440, 869, 1508, 2399?\n\"Answer: 7*f**3 + 2*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/7 + (-3771)\/(-63)*25. Let l = x - 957. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -503ed7 (base 16) to base 5.\nAnswer: -2321241332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169958 is divided by 18824?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0\/q)**(-35)*q**(2\/19)\/q**3)\/(q**(-4)*q**(-5\/4)*q)**14 assuming q is positive.\nAnswer: q**(3481\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 5)*(1 + 0 + 3)*(0*y - 2*y + 10*y) to c + t*y and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-8 - -5) - (-1 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 2*z, -l + 2*z - 2 = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**4\/6 + y**3\/3 - 3*y**2\/2 - y - 2. Let s(g) be the first derivative of b(g). What is the units digit of s(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-2\/19)*r)\/r*r**(2\/5)\/r*r)**(2\/47) assuming r is positive.\nAnswer: r**(246\/4465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7633, -7637, -7641, -7645, -7649?\nAnswer: -7653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -14*s**2 - 5*s - 56. What is d(-6)?\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 27*d**2 - 83*d + 6. Let a be c(3). Solve a = -10*t + 5 + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h - 97. Let z be q(-11). Suppose 28*y + 126300 = z*y. Round y to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2637560450?\nAnswer: 2, 5, 7, 7535887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883703039?\nAnswer: 883703039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -418 (base 13) to base 16\nAnswer: -2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 19*l + 209, -841*l + 845*l - 4*c = -44 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 + 299*i + 358. Give c(61).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 213\/198)\/(-25 - (-2800)\/105)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*v - 3*v. Let f = -4 + v. Let y(l) = -l**3 - 7*l**2 - 6*l + 13. What is the remainder when y(f) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 277*j**7\/42 + j**6\/30 - 14*j**3\/3 + 3*j**2\/2 - 223*j - 3. What is the second derivative of u(y) wrt y?\nAnswer: 5540*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j. Suppose -9 = -3*h, j*h = -3*x + 4*h. Suppose 3*y + 2 - 8 = 0. Solve -8 = x*g + 2*r, y = 3*g - r + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 36538500*u + 36538498.\nAnswer: 2*(u - 18269249)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 18 + 92 = -f, 0 = -5*f + 4*m - 349. Let b = f - -127. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253232*d**5 + 213433*d wrt d.\nAnswer: 5064640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 27*i + 28. Let x(h) = -h**2 - 9*h - 9. Let w(y) = 7*x(y) + 2*z(y). Let s be w(-8). Let v be (6945\/870 - 8)\/((-1)\/(-2)). Does s = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 - 26273*p**3 + p**4 - 2*p + 2*p + 26261*p**3 as y*p**2 + h*p + x*p**3 + i + g*p**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)*h*h*h\/(h*h*(h**(-8\/7)\/h)\/h)*h)**(1\/27) assuming h is positive.\nAnswer: h**(115\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (38 - 21) + 2 - (0 + 21)) + 86?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 + 416*d + d**3 + 1 - 389*d to f*d**3 + t + w*d + a*d**2 and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -27*p**2 + 62*p**2 + 2*p**3 + 214*p**2 + 25*p**2 = 0?\nAnswer: -137, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517, -1692, -2867, -4042?\nAnswer: -5217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -58. Let r = q - 52.3. Let d = r + 1.3. Which is greater: d or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 593\/77 + -80\/11. What is the closest to 0.2 in k, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632022281 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 646 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 411139 divided by -3\nAnswer: -411139\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (212\/(-159))\/((-2)\/(-6)). Let j(a) = a. Let v(h) = 10*h. Give p*v(q) + 35*j(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4059904 (base 10) to base 6.\nAnswer: -223003504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4015543 by -131.\nAnswer: 30653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 4, 2\/13, -4, 470?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.731099 litres in millilitres?\nAnswer: 2731.099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let u be (l\/(-1) - -4) + 3. Suppose 27 + u = 4*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -3*c**6\/20 + c**5\/60 + c**4\/12 + c**3\/3 + 45*c**2. Determine r(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*6*(sqrt(25)\/sqrt(5))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 217 + 37. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3144554110 to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eubh when four letters picked without replacement from {e: 1, w: 6, b: 3, u: 2, h: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*3 - (216 + -214)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4973 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from kzkkzkyjyjkkyjyjykk.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.9*-0.1.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 12186.\nAnswer: -1\/4062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 3, -5, 2 in descending order.\nAnswer: 3, 2, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 144.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-24 - 7 - (0 - 2 - (20 + -19))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 1\/((6\/52)\/(14 + -11))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*h + 9 = -3, -2*p - 5*h = -28. Suppose -p*j = -12, -2*b - 19 = 2*b - j. Let u be (-2 - 33\/(-12))*b. What is the biggest value in -0.4, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 1, t: 3, r: 4, l: 5, w: 1}. What is prob of picking 1 l and 1 w?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 114*u**2 + 3*u + 2. Let j be 2\/(-6) - 2\/3. Is x(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((0 - 9) + 4 + -27)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 + 8\/3. Let w(x) be the second derivative of -x**5\/4 - x**4\/4 + x**2\/2 - 6436*x. Let j(d) = -11*d**3 - 7*d**2 + 2. What is s*j(q) - 7*w(q)?\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21291, -42594, -63903, -85218?\n\"Answer: -3*a**2 - 21294*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1101 grams to nanograms.\nAnswer: 1110100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 721 + -726. Which is the closest to 1? (a) 0.4 (b) -0.3 (c) q (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**3 - 6*w**2 - 6*w + 4. Let u(s) = -4*s**3 + 6*s**2 + 6*s - 4. Let n(o) = 5*g(o) + 4*u(o). What are the prime factors of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837664 a multiple of 511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)\/s)\/s)\/s*s**(-1\/3)\/s*(s**1\/s)**(1\/5) assuming s is positive.\nAnswer: s**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6937, -13875, -20813?\nAnswer: -27751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11220100210 (base 3) to base 11.\nAnswer: 66550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 22*g = 54 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -905*n - 5769. Let h be g(-7). Is h equal to 587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495?\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95515343 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 242*p + 4 + 30*p - 675*p - 4 to the form d*p + y and give d.\nAnswer: -887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 76*n + 107. Let s be p(5). Let o = s + -425. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 10. Let j(s) = -s**3 + 3*s**2 - 3*s. Let x be j(2). Let b = 0 + 0. Sort x, d, b in ascending order.\nAnswer: x, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.04510232 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -14*w - 50, 39*w + 20 = -4*t + 38*w + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 + -3. Let r be (-3)\/(-18) - (0 - 0). Which is the third biggest value? (a) u (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66595 is divided by 212.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/39, 3\/40, -0.08, 5.\nAnswer: -0.08, 3\/40, 7\/39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -27*z**2 - 6*z - 3. Let u(o) = -9*o**2 - 2*o - 1. Let c be 144\/(-120)*(-220)\/(-66). Calculate c*y(i) + 11*u(i).\nAnswer: 9*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -601*s + 596*s + 20. Let c(o) be the third derivative of 4*o**2 + 0 - 1\/6*o**3 + 0*o + 1\/60*o**5 - 1\/240*o**6 + 1\/48*o**s. Solve c(b) = 0 for b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:28 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 6*l - 5. Suppose -60*o = -77*o + 17. Let m be k(o). Sort -25, 1, m in decreasing order.\nAnswer: 1, m, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90423059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 k, and 1 n when four letters picked without replacement from igskgfnik.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505941, 505944, 505951, 505962, 505977, 505996?\nAnswer: 506019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 3*z**5\/100 + 23*z**4\/20 + 3*z**3\/2 - 27*z**2 + z - 167. Let b(l) be the second derivative of p(l). Let b(j) = 0. What is j?\nAnswer: -15, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510.75261 rounded to 1 decimal place?\nAnswer: -510.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -148 + 666. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + -3 + 2)**2 - ((sqrt(833) + (sqrt(833) - (sqrt(833) - -3*sqrt(833))))*-4)**2)*-6.\nAnswer: 72*sqrt(17) + 316194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4305098041*y + 0 + 0 - 18*y**3 + 4305098041*y.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -0.088258.\nAnswer: -0.288258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4533, -20153, -46187, -82635, -129497?\n\"Answer: -5207*f**2 + f + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = 2*m + 1, 0 = m + 5. Solve -2*c + c + u = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 10*c + 4. Let o(t) = -4*t - 17. Let y be o(0). What is the tens digit of j(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 5*z - 3. Let g be y(-6). Let u be 5 + 0 + (-6)\/g. Solve 2 - u = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-2)\/5 + 1471920\/300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqx when three letters picked without replacement from {x: 1, e: 1, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 26 = 3*z, 7 = w - 4*z + 3. Let o be 1\/w*2*-56. What is the highest common factor of o and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 0.049 (b) 5 (c) -151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/((-16)\/(-4))*(-302)\/151*1\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*d + 33*d - 3*d**2 + 62*d - 133*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7205? (a) 0 (b) 1\/4 (c) -0.808\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + ((-360)\/(-4) - -3). Let z be 15*(-4 + v\/15). Suppose 0 = 9*p - 7*p + z. Which is greater: -93\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -20 - (-136 + (-25 - -76))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = -5. Let b be (-4 + 1 + 0)*s. Suppose -22*i = 12*i. Put i, -6, b, -5 in increasing order.\nAnswer: -6, -5, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -191, -1, -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 46659*v + 23164*v + 23262*v - 1.\nAnswer: -233*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157380?\nAnswer: 2, 3, 5, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 0*w**3 + 1736 - 1634)*(w + 5 - 5).\nAnswer: w**4 + 102*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 2*g - 15. Let j(x) = -x**2 - 1. Let n(s) = f(s) - 3*j(s). Is n(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -4, -28, 4, 1 in descending order.\nAnswer: 4, 1, -4, -28, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (0 + -17 + 17 + 8 + -78)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1185068398?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + 31.4. Let v = t - 70. Let f = v - -37.9526. Round f to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3127, -6253, -9377, -12499, -15619?\nAnswer: -18737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:35 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.21 and 64.6?\nAnswer: -13.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -15*a + 88. Let n be d(3). Solve 20*q = n*q - 115 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*k + 18*k. List the prime factors of k\/4 + (-497)\/(-2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q. Let h(k) be the first derivative of 408*k**2 + 128. What is r(h(m))?\nAnswer: 1632*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 - 14*d**2 - 6653*d + 75520. Calculate x(55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 118. Let v = -67 + o. Find the first derivative of -39*i + 60*i - 32*i + v wrt i.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*p**2 - 60*p**5 - 111755*p**4 - 138*p**5 + 111755*p**4 - p**5 + p**2 - p**2 + (-3 + 3 - 2*p**5)*(-2 + 3 - 2) - 2*p**2 + 2*p**2 + p**5.\nAnswer: -196*p**5 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.054469kg in tonnes?\nAnswer: 0.008054469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1250.4 + 1250.427. Which is the third biggest value? (a) -4.4 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7609548.\nAnswer: 2, 3, 311, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/(z**(-4)\/z))**(-4\/3) assuming z is positive.\nAnswer: z**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 35 = 5*i, -19*i + 21*i = -4*z - 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7091*a - 16105*a + 1570*a - 7023*a.\nAnswer: -28649*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7178838 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 19. Suppose -t = -g - 4*z, -4*g = -4*z + 6*z - 24. Suppose b - 80 = 2*x, -267 = -g*b - 4*x + 77. What is the remainder when b is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 9. What is the closest to 2\/9 in r, 1\/5, -0.02?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2280 - -4829. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j - 97. Let f(r) = -6*r + 64. What is 5*b(w) + 7*f(w)?\nAnswer: 3*w - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*z + 300*z - 4*s - 12 = 0, 8 = -z - s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-5))\/((-6)\/(-60)). Let g = j + -10. Calculate the remainder when 16 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3637?\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 104?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2410)\/15 + 10\/15. Let j = w - -166. Let v(g) = 8*g - 13. Let r(s) = -7*s + 12. Let c(b) = -6*r(b) - 5*v(b). Determine c(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 5*l. Let w(b) = -2*b + 0*b + 9*b. What is t(w(c))?\nAnswer: 49*c**2 + 35*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -184832928.8 minus -0.211?\nAnswer: -184832928.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -6 - 5) + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -479*d. Let w(a) = -50*a**2. Calculate x(w(z)).\nAnswer: 23950*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*d + 4*d - 4*z, 0 = -5*d + 3*z + 47. Suppose -8*m + d*m = 0. Which is the smallest value? (a) m (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/79 - -266\/2133. Let z = o - -19\/108. Suppose 1\/2*m - z - 1\/4*m**2 = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*h - 44*h = 300. Solve 4*r - 19 = -h*b, 4*r - 28 + 4 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 398570, 398444, 398316, 398186?\n\"Answer: -a**2 - 123*a + 398694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1293.834 litres to millilitres.\nAnswer: 1293834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - 19*f**2 + 9*f + 38. Let h be s(9). Are h and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2.7, 92, 1, -2\/15 in decreasing order.\nAnswer: 92, 1, -2\/15, -1, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.07 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3076\/5 - -608. Which is smaller: c or -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139653562.\nAnswer: 2, 569826781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6840 - 6835. Let f = -631\/5 + 127. Which is the nearest to d? (a) 4 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 2020\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/10))\/d**(-4))**28\/(((d\/(d\/(((d\/d**(-8))\/d)\/d)*d))\/d)\/d*d**(-2\/5)*d)**38 assuming d is positive.\nAnswer: d**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, 231, 417, 619, 843, 1095?\n\"Answer: k**3 - k**2 + 172*k - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 8*f**2 + 8*f - 6. Let r be c(7). Let a(q) be the first derivative of q**2\/2 + 1. Let l be a(r). Let g(p) = 7*p**2 - p + 1. Calculate g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1, -0.104, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*d, 5 = -3*u - 0*d - 4*d. Let f(w) = 6*w**2 - 2*w + 1. Let s be f(u). Suppose -2*m = -4*o + 314, -s*o + 376 = 4*m - m. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 3*j**2 + 5*j + 4. Let o be p(-4). Let y(k) = -k - 4. Let z be y(-6). Solve o = -m - z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282312 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 402.2331582184 + 2.7668599616. Let w = r + -405. Round w to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -345.011 and -2.4.\nAnswer: -347.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -601000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*14\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.93934*-16.\nAnswer: -31.02944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3)*h*h**(-2\/7)\/h)\/((h*h**(-2\/13))\/((h\/h**(2\/3))\/h*h)) assuming h is positive.\nAnswer: h**(146\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 + 59*v)*(-9*v + 8*v + 13 - 2*v**4 - 1).\nAnswer: -118*v**5 - 59*v**2 + 708*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 50, 2, -1, -6, -4 in decreasing order.\nAnswer: 50, 4, 2, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-8)*0\/(-2). Suppose -40 = -g*m - 2*m - 4*v, -3*v - 35 = -5*m. Let d = -4 + m. Solve 5*z + d = -k + 4*k, 2*z + 6 = 3*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -439 + 1528. Suppose -2*t - 325 = -p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(84\/(-120)*-5)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b - 38. Let o be w(-4). Factor 0 + 2\/5*x**3 + 2\/5*x - 4\/5*x**o.\nAnswer: 2*x*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29197 - 5*m - 58373 + 29191.\nAnswer: -5*m + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 66.0742 centimeters?\nAnswer: 0.000660742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 10) in base 8?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -43. Suppose 16 = 4*g - 48. Suppose 0 = 4*m + g, -a + 21960020 = 2*a - l*m. What is a rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a millisecond in nanoseconds?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542656681.\nAnswer: 7, 77522383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 185\/111 + 49\/(-33)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/(-186) - 22\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, -24, 5 in ascending order.\nAnswer: -24, -11, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 15084.\nAnswer: 165924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/12 and (2\/16)\/(4 + (-2468)\/584).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 448.6 + -449. Sort 3.4, -4, u in descending order.\nAnswer: 3.4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1 - 13\/(130\/(-28)). What is the third biggest value in 0.2, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1742 and -39\/670.\nAnswer: 8710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 348 = -3*o. Let i = -2361 + 2419. What is the greatest common divisor of o and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*u + 2*t, 2*u - 2*t - 17 = -3*t. What is the closest to -2\/17 in u, 2\/23, -2\/3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from uuauuuuaauatuauua?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -107 + ((3 - -11) + (37 - 17) - 20)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lgllgkgkgkkkkkgglg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2421259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7803.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39, 294, 759, 1428, 2295, 3354, 4599?\n\"Answer: -l**3 + 111*l**2 - 71*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*f**2*l**3*x**2 + 2*f**2*x - 19*f*l**2*x**2 - 3*f*l*x**2 + 12*l**3*x**2 wrt l.\nAnswer: -354*f**2*x**2 + 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -225 + 105\/4*q + 13\/2*q**2 + 1\/4*q**3.\nAnswer: (q - 4)*(q + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**7\/10080 - 11*v**6\/480 + 363*v**5\/160 - 31*v**4\/4 - v**2\/2 - 99*v. Let m(u) be the third derivative of q(u). Factor m(s).\nAnswer: (s - 33)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -469.61 + 268.72. Let o = f - -206. Let z = o - 0.11. Which is the smallest value? (a) z (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 1. What is the closest to -0.1 in f, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - -2) + (-29 - -34). Solve -87*y + i = -75*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 523 - 303. Suppose 10*b = -b + q. Solve -2*d - 3 = -5*n + b, 1 = -n - d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together 6178987067235 and 52.\nAnswer: 6178987067287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49406038?\nAnswer: 2, 11, 631, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*r - 16, -2*z - 3*z = r - 22. Find the common denominator of (-1)\/z + 4531\/276 and ((-12)\/(-10))\/(352\/(-120)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -58, -135, -284, -529?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1376, 1449, 1560, 1709?\n\"Answer: 19*x**2 + 16*x + 1341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 624148777 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 55700*0.0393\nAnswer: 2189.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5130857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*v = 46*v + 567 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 1 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(21\/(-15)) - (-32 + 0\/(-5)). Solve 0 = -h*n + 30*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (250\/1200)\/(74\/(-111))\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 2550*y**2 - 811536*y + 814088.\nAnswer: -2*(y - 1)*(y + 638)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*g**3 + 3429500 + 285*g**2 - 54150*g = 0 for g.\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)\/((i\/(i\/i**4))\/i))**33 assuming i is positive.\nAnswer: i**(-275\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29\/2 + -14. Sort -2\/15, 1, t in descending order.\nAnswer: 1, t, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + z - 3. Let x(j) = -3*j**2 + 2*j - 5. Suppose 0 = 50*r + 330 - 580. What is r*p(v) - 3*x(v)?\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0390937 and 0.47.\nAnswer: 0.5090937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 396\/13 in 2.4, -2\/7, -1, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {l: 4, o: 4, w: 2, i: 6, u: 2, a: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 + 356 = -8*i. Let z(j) = -j + 7. Let w be z(6). Let n be w - 0*1\/2. Sort i, -4, n in increasing order.\nAnswer: -4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.119 in -10.8, 2, 0.5, 3, -3\/10, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09 and -7203184?\nAnswer: 7203183.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -189 (base 10) to base 2\nAnswer: -10111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -83354.6 rounded to the nearest one hundred?\nAnswer: -83400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1373, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3740\/(-6))\/(-2) - (-12)\/36. Suppose 6*l = 19*l + v. What is the hundreds digit of l\/(-8) + 284 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2012544 by 3.\nAnswer: 670848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1170*a + 14047. Determine g(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2172 - -0.1.\nAnswer: -2171.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/7 - 550503*d\/7 - 235926.\nAnswer: -3*(d + 3)*(d + 183498)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -3845?\nAnswer: 49985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98572, -197160, -295748, -394330, -492900, -591452?\n\"Answer: j**3 - 6*j**2 - 98577*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 227*m**4 - 2*m**2 + 4*m - 81. Let r(b) = 681*b**4 - 7*b**2 + 13*b - 244. Let a(q) = 7*l(q) - 2*r(q). What is the second derivative of a(h) wrt h?\nAnswer: 2724*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 2\/21*o**7 + 0*o**4 + 62*o**2 + 0*o - 1\/60*o**6 + 0*o**3 + 0 - o**5. Find the third derivative of y(z) wrt z.\nAnswer: 480*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33893?\nAnswer: 33893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 15*m**2 - 30*m + 10210. Calculate p(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 885 and 75.\nAnswer: 4425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 13.9. Let q = -0.1 - k. Let x be ((-3)\/27)\/(2\/4). Put x, 4, q in ascending order.\nAnswer: q, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*j = -0*j - 2, 3*c - 22 = -4*j. Suppose 4*u = c*u. Solve -f - 1 + 2 = u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33572*p**5 - 11*p**4 - 22013*p - 422?\nAnswer: -671440*p**3 - 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**4\/12 - n. Suppose -6*x - 4 + 88 = 0. Let z(s) = 5*s - x*s - s**2 + 9*s. Determine z(j(c)).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 674 (b) 4 (c) 12645\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -7*j**3\/3 - 12. Let s(q) = 2*q**2. Give s(z(u)).\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 15. Let f(a) = -a**3 + a**m + 4*a**2 - 3 - 49*a + 54*a. Determine f(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 21132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s - 75 = -18*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 8*k + 21. Let x be g(-7). Let y(s) = -12*s - 7. Let z be y(-3). Suppose 2*q - 3*j = 13, z = 4*q - 4*j + 5. Put x, q, -4 in ascending order.\nAnswer: -4, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*2\/(56\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -228, -340, -480, -654, -868?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d + 2. Let k be s(0). Sort k, 5, -13.\nAnswer: -13, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z + 0 - z**3 + 1 + 0 + 6*z**2 + 5. Let t be b(7). Let l(q) = -t - q + 0 + 0*q + 3. What is l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.9 - 10. Which is the second smallest value? (a) -0.5 (b) 3\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93081308*o**5 + 92014037*o.\nAnswer: 1861626160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -301 - -306. Sort h, 0, -11.\nAnswer: -11, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54387189.\nAnswer: 3, 2099, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -65*b + 27*b + 29*b + 2*b**3 - 19*b**2 + 15. Let q be v(10). What is the greatest common divisor of q and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/26 - (-41)\/13. Suppose -q + n*q = 30. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3571692 milligrams?\nAnswer: 0.0000003571692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2376 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*l - 1172*l + 897*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 r when four letters picked without replacement from ffrfrffff.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**2. Suppose -5*a - 283975 = -4*p, 3*p + 2*a - 108834 = 104153. Let r(z) = 70995 - z - p. Calculate r(w(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k - 8 = 0. Let v be k\/6 + ((-116)\/(-3))\/2. Calculate the remainder when ((-42)\/(-4))\/(15\/v) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191573905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)*u**6\/u*u*(u*u**(-8))\/(u*(u\/(u*u\/u**20))\/u))**(-39) assuming u is positive.\nAnswer: u**1170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14951\/3320 at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 142*(-238)\/(-8) + (-10)\/(-20)?\nAnswer: 25350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-87)\/12)*136\/(-102)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -0.3. Let g(x) = -4*x - 61. Suppose -8*u - 273 = 13*u. Let v be g(u). What is the closest to 1 in v, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 3. Let l = -551\/8 - -69. Let a = 13\/24 + l. What is the closest to a in -3\/2, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 76*f + 214. Let w be p(-3). Let r(d) = -10*d + 14. Let y(u) = -6*u + 7. Let g(z) = z - 1. Let j(s) = 4*g(s) + y(s). Determine w*j(t) + 3*r(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 49, -7, 0 in increasing order.\nAnswer: -7, 0, 12, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 2. Let o be -12 - -15 - (-2034)\/(-14). Let g = -143 - o. Which is the biggest value? (a) d (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 544.43m?\nAnswer: 54443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-4) - (0 - 0). Suppose 2*m = 2*n + 18, 0 = 2*m + k*m - n - 39. Suppose 5*p + 0*t - 55 = 5*t, 0 = -5*t - m. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.072 - 0.072. Let t = o - 9.3. What is the smallest value in t, -2, -1\/2, 2\/201?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411262 to the power of 1\/2, to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + -1*(sqrt(1331)*1 - sqrt(1331))**2 + sqrt(1331) + (1 + sqrt(1331))*2.\nAnswer: 3 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - -442. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1173 and 11406.\nAnswer: 4459746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 + (1 - -1). Solve -2*r - 2*v = 0, 0 = r - a*r + 2*v - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 2, m: 1, d: 1}. Give prob of picking 1 t and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - t + 1. Let o(b) = -336*b**2 + 8*b - 6. Give 8*j(k) + o(k).\nAnswer: -344*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -41\/2 (c) 0.6 (d) -5 (e) -1 (f) 63 (g) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-44) + 1\/4. Let m(a) be the second derivative of -1\/12*a**4 + 1\/3*a**3 - a - n*a**2 + 0. Find f such that m(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -226.907955\nAnswer: 453.81591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by 2.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) + 2) - (sqrt(17) + sqrt(2057) + -2)) + -3.\nAnswer: -12*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5461*c**2*k**2*p - 18223*c**2*k*p + 3*c**2 + 743*c*k**5 + c*p + 3*k*p wrt k.\nAnswer: -10922*c**2*p + 14860*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 11. Suppose n*t = 19*t. Suppose t = -8*q + 5*q + 42. Calculate the highest common divisor of 35 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1370588 is divided by 113?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) - (-4)\/(-4) - -6. Suppose k = -12*s + 15*s. Let r(p) = 5*p - 2*p**3 - 3 + 6*p**2 - 4*p + 3*p**3 - p**s. What is r(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 40\/3, 419, 0, 3 in decreasing order.\nAnswer: 419, 40\/3, 3, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let p = -574.97 + 578. Let a = 0.03 - p. Put -5, x, a in descending order.\nAnswer: x, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -10*o**2 - 77*o + 176. What is the remainder when x(-14) is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/(-1015))\/(1*78\/(-260)))\/(-3).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -329 - 95ab?\nAnswer: -98d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 250 and 1555.\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -23. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 + 0.03. Let l = z + -4.8. Let s = -0.3 - -0.1. Which is the third biggest value? (a) -2\/9 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32\/51 + 5\/17. Let n = -12 - -14. Let x = -5\/7 - -19\/56. What is the third biggest value in 3, n, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*b**2 - b + 1 + 15*b**2 - 2)*(48 + 6 - 19) to the form v + m*b**2 + k*b and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5500006 is divided by 1780.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 22. Suppose 0 = b*f - 5*z + 3, -f - 1 = -5*z - 4. Is (-4447)\/(-7) - f\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -2*h**6\/15 - h**5\/5 - h**4\/8 - 7*h**3\/6 + 7*h. Let q(r) be the second derivative of a(r). Find l, given that q(l) = 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*10\/(-40)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*a**3 - 228960*a - 449440 - 50*a**3 - 2130*a**2 - 40*a**3 + 180*a**3 - 47*a**3.\nAnswer: -5*(a + 2)*(a + 212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*a**2*m**2 + 15990*a**2*m + 3*a*m**3 - 2*m**3 wrt m?\nAnswer: -26*a**2 + 18*a*m - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - 6. Let n be ((-136)\/409122)\/((-2)\/(-3)). Let k = n + 148417\/20055. What is the common denominator of y and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22130 + -3?\nAnswer: -22133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 790.7829 milligrams?\nAnswer: 0.0007907829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -449 - -262. Suppose p = -2*p. Let h = p - k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3931934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 51743 and 3.03?\nAnswer: 51739.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + i - 15*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*f - 5, -4*f - 2 = -5*f. Sort -3, 3, -2, g.\nAnswer: -3, -2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -64, -35, 6, 59?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 5*i + 35, 0*q = 3*q + 4*i + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*t + 39*t = -23*t - 1365 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-1 - 27385\/(-12)). Let i = t + -2287. Let l = i + 13\/4. Which is greater: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2876 + -2862. Solve 4*j + 2 = b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46076519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(2*sqrt(5)) - sqrt(9) - (sqrt(72)*-2)\/sqrt(8))\/(((2*sqrt(120))\/sqrt(5))\/(sqrt(32)\/sqrt(4)*-6)).\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -949220 (b) -1\/9 (c) -0.3 (d) -4 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 8*b**2 - 6*b + 7. Let p be u(-7). Let t(h) = p*h - 5*h + 3 + 7*h. Calculate t(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 equal to 745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74674453*s**3*t + 2*s**3 - 4155643*s wrt t?\nAnswer: 74674453*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -7*b - 8. Suppose 0 = -5*k - 2*o - 21, 12 = b*o + 2. Sort -1, k, 0.049, -3 in descending order.\nAnswer: 0.049, -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35260 = 10*o + 5*n - 35365, -88 = -4*o - 4*n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7889, -15313, -22737, -30161?\n\"Answer: -7424*o - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*p - 2 - 172 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1, -11, -81 in ascending order.\nAnswer: -81, -11, -1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/74210 and 35\/3205872.\nAnswer: 16029360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 148.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, a: 1, h: 1, m: 3, o: 12}. Give prob of picking 1 f, 1 h, and 2 m.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10704108, 21408239, 32112372, 42816507, 53520644, 64224783?\nAnswer: 74928924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9*9\/(-486)*12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 10974.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473*r - 426*r = 37741. Calculate the lowest common multiple of 584 and r.\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.471478 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 - -9.17. Let x = -9.7 + t. Let r = x - 2.3. Sort r, -0.4, -5\/2 in increasing order.\nAnswer: r, -5\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -17*o - 10. Is 11 a factor of 1556\/12 + (1 - o\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2. Suppose -6*j - 4 = -2*j. Let m(q) = q**2. Let v(a) = j*g(a) + 3*m(a). Let h(x) = 4*x. Determine v(h(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46825 and 3.\nAnswer: 140475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(143)\/sqrt(11) - (sqrt(390)\/sqrt(10))\/sqrt(3))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -37, -50, -61, -70, -77?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 1. Let t(x) = -x + 1. Let b(y) = 4*c(y) - 7*t(y). What is b(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(117)*-2) - (sqrt(117) - sqrt(117)*1)**2*-6*-6.\nAnswer: -36*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 2*s - 2. Let k be z(-1). Which is the closest to k? (a) -2\/3 (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.07. Let m = 3.03 + t. Let z = 35 + -34.9. What is the closest to -1\/4 in m, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 11*v - 22. What is the remainder when j(9) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1 - 5) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1777168 rounded to four decimal places?\nAnswer: 0.1777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/((-2700)\/(-210))*(68\/546)\/((-67)\/(-402))\nAnswer: -34\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8463 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.2 + 8. Which is smaller: y or 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**6\/120 - b**5\/60 + b**4\/6 + b**3\/2 + b**2 + 4*b. Let m(x) be the first derivative of h(x). Determine m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -8, -17, -28, -41, -56?\n\"Answer: -a**2 - 4*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 4*k**2 - 5*k - 5. Let m(o) be the second derivative of -o**3\/6 - 3*o**2\/2 - 3*o. Let v be m(-8). Give z(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0072223 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t. Let c be v(-4). Let w(y) = 19*y + 3. Let s be w(c). Let a = 122 + s. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(200) + -2 + 1)*5)**2 + (5 + (sqrt(72) - -2*sqrt(72)*-1))*2.\nAnswer: -8012*sqrt(2) + 80410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-28)\/(-102)) + (-1226)\/4291. Let d(r) = r - 6. Let g(m) = -4*m + 25. Let h(u) = 18*d(u) + 4*g(u). Calculate h(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -10*u**3\/3 - u**2 - 2*u + 13. Calculate j(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97110906 divided by 32370302\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u**3 + 22*u**2 + 8 - 4*u**4 - 44*u**2 + 18*u**2 + 12*u = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + a - 7 - 2 = 0, 4*x + 5*a + 9 = 0. Let m(f) be the first derivative of -f**2\/2 - 3*f + 2. Let y be m(x). Let l(q) = q - 1. What is l(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -89*a + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 78. Suppose -2*z - 5*q = n*z - 181, 0 = 3*z + 5*q - 137. What is the remainder when z is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*21\/28*-2. Let v = -291 - -291.01. What is the second smallest value in 8, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4216*w + 2508 = -4197*w. Calculate the remainder when 526 is divided by w.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.16 (b) -0.3 (c) 2583 (d) 0.1 (e) -3\/4 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1271, -5092, -11461, -20378, -31843, -45856?\nAnswer: -62417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 4 = -7*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 121127 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 84.06231724 and -0.2677.\nAnswer: 83.79461724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/9 + 4379\/522)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*n - 31*n + 40*n + 265*n as f*n + h and give f.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 55794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 - 205655?\nAnswer: -205581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or 6176\/67?\nAnswer: 6176\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r**4 - 2*r**2 + 0*r**5 + 1\/210*r**7 + 1\/6*r**3 + 0*r + 0*r**6 + 0. Differentiate y(c) wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, -6, 1.1, 0.3, 2, 126, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9379095*n**2 + 43870490 wrt n.\nAnswer: -18758190*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*c + 0 - 3)*(6 + 11 + 10) as o + a*c and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*z - 10*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -5 (c) -3 (d) 2\/9 (e) -664 (f) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1, -137.\nAnswer: -137, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215449 - 23246 = 11*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 6*g**2 - 48*g**2 - 26*g**2.\nAnswer: -70*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than -8.89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2331412 - 2?\nAnswer: -2331414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.3, 4, -4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 61*v**6\/6 - 20*v**3\/3 - 5*v - 23. What is the third derivative of w(x) wrt x?\nAnswer: 3660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 10. Let q be i(12). Let x be ((-56)\/21 - q)\/(4\/(-6)). Let f(p) = p**3 + p**2 + p. Let c(r) = -r**3 - 4*r**2 - 2*r. Give x*c(t) + 3*f(t).\nAnswer: 2*t**3 - t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g**2 - 11*g - 6. What is the remainder when 564 is divided by r(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*j*o**2 - 90*d**3*o**2 + 1615*d**3*o + 6*d*o**2 + j - 2*o wrt o?\nAnswer: 4*d**3*j - 180*d**3 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 1088633?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*n - 5*k, -2*n - n - 3*k + 126 = 0. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4722667 to the nearest 10000.\nAnswer: 4720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/49, 0.5, 2\/1751?\nAnswer: 2\/1751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i - 1. Let r be o(3). Suppose z = r + 20. Suppose -2*a = 5*m - 53, 4*m = 3*a - z - 62. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453736 is divided by 1040.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3884 = -1400. Suppose 0 = -5*o + t - 91. List the prime factors of o.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 3*o + 7. Let t be f(-4). Calculate the greatest common factor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 + 201. Let g = -111 + p. Solve -2*d = r + 6, -g*r + 3*d = -7*r - 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - ((-9 - 2) + 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 5*o + 2. Let a be h(-3). Let r(q) = q**2 + 8*q + 7. Suppose -2*b - 3*t = -1, -3*t + 5*t - 24 = 2*b. Let d be r(b). Solve d*c + a = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7))**20*i*i*i*i**(1\/4)\/i*(i**1*i*i*i)\/i assuming i is positive.\nAnswer: i**(-13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 10. Let c = 6 - 1. What is the second smallest value in c, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 5228?\nAnswer: 15684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -68*v + 32*v + 4 + 40*v. Let o be u(0). Put o, -2, -7 in increasing order.\nAnswer: -7, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*h**5 + 5*h**3 + 26*h**2 + 16 + 36*h - 3\/2*h**4 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166607, -666436, -1499485, -2665754, -4165243?\nAnswer: -5997952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -4*z - 52. Suppose -o - 80 = o. Let j = z - o. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 - 137. Suppose -f*r + 10 = 5*a, 2*a + 3*r - 2*r = 5. Let g = 0 + 0. Solve g = 2*m - a*m + 3*z - 4, 2*m = 4*z - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -35.34, 6, -1\/4, 10 in descending order.\nAnswer: 10, 6, 2\/7, -1\/4, -35.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 1.25, -575, 5?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (9 + -12 + (5 - -7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(0\/(-4))\/(-4). Suppose -99 = -3*a - r*a. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2574*u + 265. Let f be ((-6)\/(-4) + -1)*-14. Is t(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 145 + 13?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1953.17 minus 720?\nAnswer: -2673.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g - 2\/7*g**2 - 14.\nAnswer: -2*(g + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/((-2)\/(-308)). Suppose 4 - 58 = -n. Let i = l - n. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 + 1cb?\nAnswer: 1fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqqmqqqqmm. Give prob of sequence mqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((192\/384)\/(2*46\/(-8))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 20. Suppose -h*k = 6*k - 63. Solve 4*c + l + 20 = 0, -3*l + 16 = -k*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-5 + (-5 - -9)). Suppose 5*f + 2*f - 13461 = i. Suppose -f = -18*g + 15*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9027561 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1354 * 19.5819.\nAnswer: -26513.8926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -20*v - 15. Let o be 3 + -4 - -20*1. Let u be p(o). Let b = 62 - u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*z + 5*z - 6*z + (3*z - 3*z + 2*z)*(-3 - 1 + 1).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10704 and 1561.\nAnswer: 74928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 961*f**2 - 2257*f**3 - 2232*f**3 + 4491*f**3.\nAnswer: 2*f**3 + 961*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31063, -62023, -92983?\n\"Answer: -30960*s - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 3 + -2 - -2. Let s = 1207 - 1201. Suppose 2*b + 20 = 3*n, 2*n - t = b + s. Solve -i = -n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*g**3 - 33*g**3 + 3*g**4 + (-2*g - g**2 + 2*g)*(4*g**2 - 4*g**2 + 2*g**2) + (-4*g**3 + 0*g**3 + 2*g**3)*(3 - 3 - 2*g).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1070.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 51 - (-40 - -2)) + -1 + 164\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, e: 6, r: 7}. Give prob of sequence ed.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -12. Is v greater than or equal to -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89.88 - 89.9. Sort -2, z, 3, 11 in descending order.\nAnswer: 11, 3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-5))\/((-1)\/(-5)). Let u(t) be the second derivative of t**3\/6 - 3*t**2\/2 - 3327*t. Give u(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4 - 15*g**3 + 20*g = 0 for g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuubzbbuzzzuzzzzzub. What is prob of sequence uzb?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -38*(-15)\/10 - -1*3. List the prime factors of (-2)\/(-8) + v\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17160 and 62010?\nAnswer: 2728440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**8\/420 + 7*x**6\/360 + 2*x**3\/3 - 2*x. Let d(b) be the second derivative of z(b). Find the third derivative of d(r) wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -3, 0 in ascending order.\nAnswer: -3, 0, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -481\/958 - -1\/479. Which is the third smallest value? (a) -7 (b) -4 (c) g (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 576.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477981 rounded to the nearest 1000?\nAnswer: -1478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -7, -6, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 + 2*f - 15. What is w(-5)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65985318*p**3 - 24993815*p**2 wrt p?\nAnswer: -395911908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49*d**2 + 3*d**3 + 4*d**2 + 1 + 44*d**2)*(-4 - 4 + 6) as r*d + i*d**3 + m*d**2 + w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/6381, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7493*m - 7881*m - 44620 = 0 for m.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*v - 5*s - 3, 2*s = 0. Suppose -5 - 1 = -2*q. Let w = 9\/2 - q. Do w and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 19*r. Is 10 a factor of n(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.4 (b) -5 (c) -2 (d) 2\/13 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 13*i**3 + 13*i**2 - 17*i - 13. Let l(w) = -3*w**3 - 3*w**2 + 4*w + 3. Let c(u) = 9*l(u) + 2*q(u). Give c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 7}. Give prob of picking 3 c and 1 y.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, b: 5, v: 2}. What is prob of picking 1 j and 2 b?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-seven halves of a second?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*c + 362229, -74456 = 2*h + 2*c - 315970. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -858510\/629 or -1364?\nAnswer: -1364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.002?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37492 is divided by 31728.\nAnswer: 5764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*f = -89*f - 88 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**6\/3 + 7*o**4\/4 + 250*o**3 + o**2\/2 - 1300. Find the third derivative of l(c) wrt c.\nAnswer: -120*c**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*m + 50*m + 46*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 7*a**2\/2 + a - 1. Let m be -3*(-1)\/(1 - -2). Let k be ((-6)\/6)\/(m\/1). Give r(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o**2 - 4*o**2 - o**2)*(4 + 1 + 2)*(-o**2 - 2*o**2 - o**2) to q*o**4 + b*o**3 + l*o**2 + n + y*o and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22330, 178561, 602606, 1428373, 2789770, 4820705?\nAnswer: 7655086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -10*o**5\/3 - 17195*o**4\/3 - 2468190*o**3 - 11051020*o**2\/3 + 7404580*o\/3 + 3689405 = 0.\nAnswer: -859, -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*i - 5649 = -25890. Solve -i*a - 126 = -103*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and (-272)\/(-20) + 2\/5.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563550 - 1126226 + 562676 + 8*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 2\/13, 3556, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.42 from 3299744.\nAnswer: 3299745.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18179 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4223 - 4223. Is h bigger than 2\/2849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*o + 23*o + 18753. Calculate the common denominator of 20\/50 + o\/(-405) + 0 and -19\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/2183 and 83\/2.\nAnswer: 4366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -125. Let m = -47.9 + c. What is m rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11 = -x - 4, -3 = -3*o - 3*x. Calculate the greatest common factor of o and 546.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aa4a (base 12) in base 13?\nAnswer: 21568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -538*j**4 - 721*j**3 - 245533720*j?\nAnswer: -6456*j**2 - 4326*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3))**(-36)*f**(-2)\/f*f**(2\/25)*((f*f\/(f**(2\/13)\/f))\/f*f\/((f\/(f**(1\/5)\/f))\/f))\/(f**(3\/5)*f*(f**(-1\/4)\/f)\/f) assuming f is positive.\nAnswer: f**(15309\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 766 + -548. Let y = z - -77. What are the prime factors of y?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -627*p - 169 + 61 + 84. Let i be v(-12). Let z be (5 - -111)*7\/(14\/i). What is z rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 146133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*y - 5*y - 4*y = y - 13, -4*f + 5*y = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 1, 2, 32, 241, -3 in descending order.\nAnswer: 241, 32, 5, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -260533, -521069, -781607, -1042147?\n\"Answer: -u**2 - 260533*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -9, -8, 11, 54?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**4 - 1157*w**3 - 2334*w - 5 wrt w.\nAnswer: 60*w**2 - 6942*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*d**3 - 10*d**5 + 200*d**3 - 90*d**4 - 11*d**5 - 48*d**2 + 240*d**2 + 151*d**3 = 0. Calculate d.\nAnswer: -8, -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -320 + 3?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 w when three letters picked without replacement from {e: 3, b: 3, o: 2, w: 1, k: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 3.724?\nAnswer: -3.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 40 - 49314*k**3.\nAnswer: -49314*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12778419 and 94482?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52.689 + -0.189. Let f = j - 75. What is f rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 - 64. Let v be 1*(k + -1) + (-14)\/49. Suppose 1 = -d - 0. Is d smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 31 = d - 17, -17 = 3*x + 4*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1131)\/174*2\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641.50371us in hours?\nAnswer: 0.000000178195475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.13 and -8886343?\nAnswer: 8886342.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30199957 to the power of 1\/2, to the nearest integer?\nAnswer: 5495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 2, 6*y - 6*g = -4*g - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + u - 12, 0 = 291*d - 286*d - 3*u + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14097 is divided by 150?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542275 equal to 1542260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -3, 854, -25, 2.\nAnswer: -25, -3, -1, 0, 2, 854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5.5. Let t = 434 + -243. Let j = 191 - t. Which is the second biggest value? (a) x (b) j (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 1 - 2 + (-6 + 2 + 2)*(-3 + 6 - 5) - 3 + 1 + 4)*(0*m**2 + 0*m**2 - 3*m**2) in the form l*m**2 + t + d*m and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1815*w - 1. Let l(d) = 58*d + 4*d**2 - 22*d - 36*d. Give u(l(h)).\nAnswer: 7260*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from ffffgxgfxfxtxxhh?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/4 - -3) + 118146\/(-28). List the prime factors of (z\/10)\/(125\/(-625)).\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/39 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18872, -18642, -18074, -17012, -15300, -12782, -9302?\nAnswer: -4704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2. Let r(j) = -2*j**2 + 1262. Give v(r(w)).\nAnswer: 4*w**4 - 5048*w**2 + 1592644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(180)*-4*-3)\/sqrt(6))\/((sqrt(4320)*-1)\/sqrt(3)).\nAnswer: -13*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 5*x + 35 = 0. Suppose -x*v - 224 = 3*v. What is the tens digit of -2*158\/v - (-24)\/(-84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 351*k**2 + 65. Let j(i) = -11*i**2 - 2. Calculate -65*j(u) - 2*r(u).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 2*k - 6. Let j be x(-3). Let y be (1 - (-30)\/(-18)) + (-2)\/j. Let z be (2\/4 - y\/11)\/(-2). What is the nearest to z in -2, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10587 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8 = 5*w. Suppose 0 = -w*i - 4*x + 32, -3*x + 5 = -1. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73 - -94?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 5*i + 4*i)*(0 + 0 - i)*(4 - 4 - 2).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5370622 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*(1 + sqrt(2)))**2.\nAnswer: 24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17868 and 159.\nAnswer: 947004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 30*x + 23 + 5 - 6. What is the tens digit of s(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.102512mm in micrometers?\nAnswer: 8102.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*b, 0*m + 2*b + 16 = 2*m. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 94*u = -8*u - 2275 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 5*g + 1 - 13, 2*g - 5*o = 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -155, -14, -2, -3, 0.3 in ascending order.\nAnswer: -155, -14, -3, -2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3.7. Let f = 107\/5 - 21. Which is the closest to 0? (a) i (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*i)*(-4 - 1 + 4) + 0*i + 3*i - i + 0*i - 3*i + 4*i + 215061 - 215061 + 50431*i to g*i + x and give g.\nAnswer: 50436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*h + 53 = 0, 10 = y - 2*h - 11. Let a = 26 - y. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 8*u**2 - 15*u + 7. Determine s(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 22*n - 22. Give b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 589\/44 + -161\/11. Let k = -793\/985 + 1\/197. What is the closest to k in 4, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 121*q**2 - 54*q + 567. Let a be r(-60). Let x be 3\/(44\/(-12) + 4). What is the greatest common factor of x and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 10:05 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmmmmmmp. What is prob of sequence pmmp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -269*p - 119. Let n be q(-7). Let a = 543 + n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 63 = -5*x - 0*x, 5*x - t - 61 = 0. Let l = 12 - x. Suppose -3*a + a + 16 = l. Calculate the lowest common multiple of 6 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - l**2 + 71*l**3 + 2*l**2 - 66*l**3 to the form g*l**3 + m*l**2 + t + u*l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(3)*1 - (-2*sqrt(480) + sqrt(480)))\/(sqrt(12)\/(sqrt(16)\/(sqrt(32) + sqrt(8)))))**2.\nAnswer: 125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + -78. Let f(i) = -z*i**2 + 4588 - 4588. Let n(q) = 0*q + 0*q - q - 9*q. What is f(n(w))?\nAnswer: -200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, j: 3, l: 1, f: 3}. What is prob of picking 3 j?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11772 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 6*x**2 + 6*x - 9. Let l be z(6). Let w = 52 - l. Suppose -o - w = -4*h, -3 = -3*o + 6. Solve 5 = -4*t - 2*s - h, 4*t - 5*s = 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796*n**4\/3 - 2480342*n**3\/3 + 34626388*n**2\/3 - 40417090*n + 303996 = 0.\nAnswer: 3\/398, 7, 3102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jll when three letters picked without replacement from {j: 2, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -73. What is the first derivative of -7*h**f + 29*h**2 - 8*h**2 - 11*h**2 - 315 + 81*h wrt h?\nAnswer: 6*h + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8288 - -99355\/12. Let l = 701\/266 + 20\/133. Find the common denominator of l and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51.9 - 29. Let x = -22 + k. What is the nearest to x in 0.4, 5, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.24 times -4015?\nAnswer: 4978.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(-7\/6)*f*f*f)\/f**19)\/(f\/f**(-1))**(-41))**33 assuming f is positive.\nAnswer: f**(4411\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 244 - 23 = 853 for f.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 128c + -12?\nAnswer: 127a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5134.8094 rounded to the nearest integer?\nAnswer: 5135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1923 + 2?\nAnswer: -1921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -41 + 43 - 56*j + j**2 + 34*j. What is p(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40505 is divided by 193?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 0.036 (c) -5 (d) 1.696\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195.172 times -1.2?\nAnswer: 1434.2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 7 - 18. Let f be 0\/((-3 - -5) + (-1)\/o). Let x = -0.5 + 0.1. What is the nearest to f in -4, x, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-8)\/(-160))\/(15\/90))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 10.2. Let r = -227697934.79999986 + 227697937. Let i = s + r. Round i to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*l**3 + 301594*j + 45*l**3 - 1188*l**2 - 15 wrt j.\nAnswer: 3*l**3 + 301594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5857717039 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeet when four letters picked without replacement from {t: 2, e: 9, o: 4, r: 3}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/42 - 2\/3. Let o(n) = 7*n + 15. Let t be o(-6). Let q = 27 + t. Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f**2 - 75*f - 111. Let x(t) = 2*t**2 + 27*t + 37. Calculate 5*d(l) + 14*x(l).\nAnswer: -7*l**2 + 3*l - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h - 12. Let m = -45.958 + -0.042. Let d = m - -46.5. Which is the second smallest value? (a) h (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123 + (-132 - -42) - 97\/2?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/87, 0, -5, 3, -1.\nAnswer: -5, -1, 0, 2\/87, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-144)\/(-27)))\/(1\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*(sqrt(1584) + sqrt(1584)*-1 + -1) + 5 + -2 + -5)*-1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 65*(-20)\/130 + 18\/2. Put -130, -3, g, -5 in decreasing order.\nAnswer: g, -3, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 38. Let q be 3 + -2 + (u - -1). Solve -3*g + z - 13 = 0, q*g + 3 = -2*g - 3*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 5:25 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k + 886. Let x(z) = -2*z. Calculate x(n(s)).\nAnswer: -16*s - 1772","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 8*j**2 + j + 10. Let m be y(-8). Let s(w) = w**2. Let l be s(m). Suppose r + 921 = l*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1759.14 and -0.17.\nAnswer: -299.0538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 894893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 - 1012\/1672 - 990\/(-19). Calculate the highest common factor of 16 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2\/3 - 28060*o\/3 - 65408 = 0.\nAnswer: -7008, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/77881?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -17. Suppose 0 = -5*t + 4*w, 36 = 2*t + 5*w + d. Suppose 3*k + k = 2*j + 86, 0 = t*k - 5*j - 95. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57 + 944 - 1019*x**2 - 128*x**2 with respect to x.\nAnswer: -2294*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3202020033 (base 4) to base 11\nAnswer: 582981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 8:27 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2133 - -1033. Let a = -660 - m. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**4\/4 - 4*o**3 - 6*o**2 + 12*o - 132. Let z be k(-11). Solve 13*t + 16 + z = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 6*x. Suppose 3*o - 5*o - 5*c + 53 = x, 2*o - 59 = c. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-19999)\/6 + (-6)\/(-9))*140\/(-350) is divided by 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 6. Let m be (-6)\/(h + 5\/(-2)). Let w = 17 - 22. What is the second biggest value in m, 3, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504963269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 1, z: 1, a: 1, u: 1}. What is prob of sequence dza?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + l + 0 + (15*l - 58*l - 21*l)*(-1 + 3 - 4) + (-3*l + 19 - 19)*(-3 - 4 + 2))*(5 - 1 - 2) to the form r*l + u and give r.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 8*y + 616 = -4*y, -v + 2*y + 154 = 0. Suppose 2*p - 154 = -9*r + 6*r, -2*p + v = r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*s**5 + 280*s**4 - 516*s**3 - 384*s**2 + 400*s = 0. Calculate s.\nAnswer: -25, -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*x - 5*x + 5*x + 18*x to the form c*x + y and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p**2*x**3 - 18*p**2*x**2 - 7*p**2*x + 1087*p*x**3 - 14*p*x**2 + 1 wrt p?\nAnswer: 8*x**3 - 36*x**2 - 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 5638, 1, -4 in ascending order.\nAnswer: -4, -2, 1, 3, 5638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 206 = -48*i - 31*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -382*s + 381*s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17306672 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 283*w - 139*w - 149*w - 2 + 2*w**2. Determine z(-5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20836 + -22363. Are r and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 1435 + 1485 = 0. Solve 11 = -3*b + u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 + 2*b**2 - b. Suppose 3*p + 4 = p. Give j(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:50 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7176 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -0*m + 4*m + v, 3*v - 9 = -2160*m + 2162*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 + 100. Let b(u) = -u + 1. Let m(t) = t**2 + 26*t + 56. Let a(j) = q*m(j) + 5*b(j). Is a(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2 - y - 3. Let i be v(3). Factor -96 - i*j + 279*j**4 - 66*j**5 - 355*j**3 + 201*j**2 - 15*j**5 + 100.\nAnswer: -(j - 1)**3*(9*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a + 6 - 11*a - 3*a**2 - 10*a = 0 for a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 18 - 21, -83 = -2*m - g. What is the closest to 1\/4 in -1, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 838320 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30086 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -40420068\nAnswer: -4042006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14335 (base 10) to base 16.\nAnswer: 37ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15 - 67.86.\nAnswer: -67.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 3*k + 1442*k**2 + 4*k.\nAnswer: 1442*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000136877 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 6*q**2 - 3. Let t be u(-6). Which is the nearest to t? (a) -4 (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 + 2.24. Let z = -217 - -215. Let w = m + z. Which is the fourth biggest value? (a) -2\/9 (b) w (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -cfc2 (base 16) in base 12?\nAnswer: -26942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -10*k - 11*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2032 - 4?\nAnswer: -2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((123\/(-3))\/(-287))\/((-2)\/(-12))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -63*s + 7369. Determine n(117).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382907353?\nAnswer: 12277, 31189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -137\/3. Let o = -3 + 0. Sort q, 2, o in descending order.\nAnswer: 2, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9110115308 to the power of 1\/3, to the nearest integer?\nAnswer: 2089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-40))\/(((-234)\/(-156))\/(3\/(-2)))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(4\/7))**(1\/71)\/((k\/(k**(1\/15)\/k))\/k)**(-14) assuming k is positive.\nAnswer: k**(97577\/7455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 4*m - 2*q, -q - 4*q + 301 = 3*m. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 3. Suppose -6062 = -14*i + 2492. Let a = i - 614. Determine x(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b**3 - 38*b**3 + 24*b**3.\nAnswer: -64*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + -0.01. Let q = m - 0.03. Put -5, q, 1\/4 in ascending order.\nAnswer: -5, q, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 461231.4 months?\nAnswer: 3843.595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 231 - 51. Suppose -5*f = -10*f + 285. Let b = c - f. Solve 5*o = -5*i, 2*i = b*i - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 99*t**3 - 520*t**2 + 70*t + 265. Determine a(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9662564ml in litres?\nAnswer: 0.0009662564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1862 divided by 5?\nAnswer: -1862\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95505.\nAnswer: 3, 5, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1591?\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/5 - 384*z**2\/5 - 747*z\/5 + 1134\/5.\nAnswer: -3*(z - 1)*(z + 3)*(z + 126)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 - 46 - 49 - -21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -389*z**2 - 391*z**2 + 786*z**2. Let l(r) = 5*r. Calculate l(g(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121 or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38201977 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/(-100) + (-266)\/(-8). Let r(i) = -i**3 + 2*i**2 + 2*i + 4. Let p be r(4). Let d = p + l. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (288\/10)\/(0 - (-12)\/40). Let l = x + -16. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + 149*w**2 - 223*w - 381*w**2 - 357*w**2 + 220*w as u*w**2 + l*w + o and give u.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-1272)\/(-30))\/((-5937)\/9895).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -533 + 943 + 9*g**2 - 469 in the form x*g + c + d*g**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (1 - 14)) + (-1 - 1) - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 7*n**2 - 5*n - 4. Let h be v(6). Suppose 2*c = 2*b + 6 - h, -4*c + 8 = 2*b. Solve -c*l = -7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, h: 3, t: 4, i: 1, g: 1, o: 2}. What is prob of picking 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = 2. Suppose 0 = -3*i - 4*a + 98, 0 = -g*i + 3*a + 15 + 22. Let b = i + -9. Solve 4*h + 4*z - b = 15, 0 = 4*h - 2*z - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 2008\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -359 - -361. Let y(p) = -7*p + 5. Give y(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 149586630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 26272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 34*s**2 + 141*s - 5. Let i be r(-4). Solve 0 = 13*q + i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 517*n - 2014. Let r be i(4). Suppose 3*a - 294 = -78. What is the greatest common divisor of r and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3. Suppose 269*t - 253*t - 16 = 0. Let x(p) = 3*p**3 - p - 2. Calculate t*b(z) - x(z).\nAnswer: -2*z**3 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16986 and 95?\nAnswer: 84930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 584817.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*c**4\/7 - 110067*c**3\/7 + 66151221*c**2\/7 + 77307915*c\/7 + 1578087 = 0. What is c?\nAnswer: -1, -1\/6, 677, 5439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - 40*-2)*(24\/15)\/4. Solve -18 = -n*k - 54 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11001011000000000 (base 2) to base 14\nAnswer: 29c40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 24*n - 25. Let x(h) = -3*h - 13. Let k be x(7). Let u be k\/(-4)*(-12 - -10). Is i(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -363, -1231, -2947, -5799?\nAnswer: -10075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -339 - -339. List the prime factors of (653 - o) + 17\/((-170)\/20).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45\/8 of a microgram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 138366478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**6\/120 + s**5\/12 + s**4\/24 + s**3 + 2*s**2 + 3*s. Calculate z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117187+-357939\nAnswer: -475126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 2*(-383)\/(-266). Let j = 33\/19 + k. Calculate the common denominator of -27\/10 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2205 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10023130 (base 4) to base 6\nAnswer: -211124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -18712 and 3.82.\nAnswer: -18708.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + sqrt(720) - sqrt(45)))**2.\nAnswer: -1800*sqrt(5) + 10525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -7. Sort p, 2, 3 in decreasing order.\nAnswer: p, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 4\/3, 0.05, 2\/37, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2730067 = -4*z - 5*x + 1910205, -4*z - 4*x + 4640276 = 0. Let t be (-1 - -25)\/6 - -1740069. Let f = t - z. Round f to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -19*w**3\/3 - 446. Let y(z) = 4*z + 5. Let q(h) = -2*h - 3. Let o(s) = -5*q(s) - 3*y(s). What is d(o(m))?\nAnswer: -76*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpda when four letters picked without replacement from axkaaaaadpadaat.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**4\/18 - 106*a**3\/27 + 6*a**2 - 300. Factor y(o).\nAnswer: -2*o*(o - 1)*(o + 54)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070318 rounded to 5 decimal places?\nAnswer: 0.00703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 3*a = -10*z + 10, 2*a - 15 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.39584 to 1 decimal place.\nAnswer: -13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1695 + -1692. Let s = -544 + 546. What is the nearest to -0.1 in b, 0.2, s, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - r + 1 - 4 + 4 - 2*r + 2*r + 3 - 3 + (-4*r + 4*r - 2*r)*(-4 + 1 + 1) + r + 2 - 2 + 1 - r - 1 - 5 + 2*r + 3 - 1.\nAnswer: 5*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - u - 1. Let v = -1474 + 1473. Let s(n) = 5*n**3 - 6*n**2 + 6*n + 7. What is v*s(k) - 6*z(k)?\nAnswer: -5*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135889769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 36636780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 4*h**2 - 6*h + 1. Let b be l(-5). Suppose 5*d + 0*c + c = 3, -b = -5*d - 2*c. Let n be 9 + (1 - (2 - 0)). Solve d = -0*z - 2*z + n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1126 divided by -1.\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4890 + 4708. Are g and -550\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 251, -10, -11.\nAnswer: -14, -11, -10, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -3\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 44166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 2*l**7\/105 - l**6\/10 - 3*l**5\/5 + 23*l**4\/6 - 8*l**3 - 982*l**2. Factor n(u).\nAnswer: 4*(u - 4)*(u - 1)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -27, 0, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 918, 895, 798, 579, 190, -417?\n\"Answer: -8*q**3 + 11*q**2 + 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17820 and 64152.\nAnswer: 320760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56955?\nAnswer: 3, 5, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 7, w: 4}. What is prob of sequence jw?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -200313212 (base 4) to base 8\nAnswer: -406746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -132*x**2. Let i(d) = -d**2. Determine a(q) + 5*i(q).\nAnswer: -137*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 18894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -314, -426, -730, -1322, -2298, -3754, -5786, -8490?\n\"Answer: -16*n**3 - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 23 = 5*g + 7*t, 0 = 4*t - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 8*r + 10*r + 0*r to the form i*r + l and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 8:09 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1759, -1081, 49, 1631, 3665, 6151, 9089?\nAnswer: 12479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2849*d*n**5 - 336*d*n**2 + n**6 - 71*n**2 wrt n?\nAnswer: 170940*d*n**2 + 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -97\/12624 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598425 and 525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1691 + 1691. What is the nearest to i in -0.2, 39, -2\/13, -3\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12332843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21120 and 2650560.\nAnswer: 5301120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 730039639 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.192550107 to four dps.\nAnswer: 0.1926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 10:36 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17915?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.46 + 46.06. Let k = 12.6 - 12.5. Which is the closest to 4? (a) 7\/3 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 161905, 323825, 485745?\n\"Answer: 161920*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12550*h + 12550*h + 4*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35470561 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2. Let v(q) = -16*q**2 + 2*q + 2. Let x(f) = 49*f**2 - 7*f - 7. Let r be (-4)\/(-2) - -4 - 4. Let z(j) = r*x(j) + 7*v(j). Give n(z(m)).\nAnswer: -392*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - ((-24)\/228)\/((-6)\/3648).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*(-35 + (-4437)\/(-119)) - -25?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212*g**3*m**2 - 22*g**2*m**2 - 14*m wrt g?\nAnswer: -1272*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 - 55 - 174 = -5*s. Calculate the remainder when 130 is divided by s.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 0.5, -1\/298?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -439, -441, -443, -445, -447?\n\"Answer: -2*z - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19245 - -21573?\nAnswer: 3a808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c36 + 946?\nAnswer: 387c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4108401 divided by 1369467?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790 = -4*g - 2*k, 2*g - 375 = -0*g - 5*k. Let a = g + -1362\/7. Calculate the common denominator of a and ((-50)\/27)\/((-6)\/9).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 * -2.51304.\nAnswer: 0.4523472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 8, 15, 20, 23, 24, 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/40 - 952416\/(-40). Suppose 0 = 11*g - 14*g + h. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*r + 63*r - 77*r + 77*r.\nAnswer: 145*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.451 - 31.361. Let y = 4.1 + -0.1. What is the second biggest value in 2\/11, a, y, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19128 is divided by 435?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25399, 25251, 25103, 24955, 24807?\nAnswer: 24659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15506 (base 12) in base 14?\nAnswer: ad82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/6 or 10415814?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 10. Suppose -x + p + 50 = 4*x, 2*p + 37 = 3*x. What is the remainder when ((-78)\/x)\/((-2)\/9) is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 138 = 5*c, -c = 3*s - 49 + 17. Suppose f - 5 = 0, -4 = 3*m + 2*f - c. Solve -q + 4*w = -18 + 1, -4*q + 20 = -m*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 13716?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhhh when four letters picked without replacement from {h: 4, n: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -459 + 458.9. What is the second smallest value in f, 0.075, -0.3, -3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**(-3\/2))\/d*d*d**1*(d\/d**2)\/(d\/d**(-6\/5)))\/(d\/((d**1\/d)\/d)*d*(d*(d*d*d**6*d*d*d)\/d)\/d*d*d)**3 assuming d is positive.\nAnswer: d**(-437\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3751 (base 11) to base 9.\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 21493*f**3 + 32*f**2 - f - 1. What are the prime factors of s(1)?\nAnswer: 21523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 5 (c) -9 (d) -55\/252 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1674019km to millimeters.\nAnswer: 167401.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10.6*-4612\nAnswer: -48887.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 54 - 44 = 0. Calculate the lowest common multiple of h and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-12)\/15)\/((-9)\/765) and 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 13 + 31 = 0. What is the greatest common factor of i and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(432)*-1*6.\nAnswer: 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 4*j + 5*j)*(-3*j - 4*j + 5*j) + (-1 - 2*j + 1)*(2*j - 18*j - j).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 8. Suppose -6 = -z*n + 2. Let r(t) = 7*t**2 + 4. Let w be r(n). What is the greatest common divisor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 = -2387*f + 2293*f - 1285 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2793 - -2808. Solve -3*c - 3 = -20*l + p*l, 2*c = 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 - 3*o**2 - 6*o - 6. Does 25 divide v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1985 and 65108?\nAnswer: 325540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 120*z - 86. Is j(8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-44))\/(4\/(-8)*1)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*d**5 - d**5 + 4*d**5 + 4 - 4 - 2*d**5 + (d**3 - 6*d**3 + 4*d**3)*(2*d**2 - 4*d**2 + 3*d**2).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.15, -0.062, -6.9562?\nAnswer: -6.9562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2)*(-12)\/(-1). Let l be (-16)\/s*6\/28. What is the nearest to l in 0, -4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/2*4*3\/(-144).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 142 = 18*f + 5*i, 4*f - 8*i = -196 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 20. Suppose -l*d + 5*s = -0*s - 140, 0 = -5*d - 5*s + 280. Suppose d + 20 = 3*t - 5*m, t - 5*m = 30. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24851*q**3 + 27890 wrt q.\nAnswer: 74553*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3425221 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*1440\/(-400)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002179075 to 5 decimal places.\nAnswer: -0.00218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 284092370 and 9686.\nAnswer: 284102056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 9*d - 2.\nAnswer: 9*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -121 (b) -0.1 (c) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8ac1 (base 13) to base 16.\nAnswer: 4bdf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3671 = 3*x, 2*d + 9104 = 7*d + 3*x. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l)**(-3\/17)\/(l**0\/l)**36)**(-7\/4) assuming l is positive.\nAnswer: l**(-4305\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*y, -r - y - 18 = 4*y. Let m = 6.07 - 6.07. Which is bigger: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + (36\/(-42))\/((-27)\/504). Solve 11*g = -l*g + 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3192, 1\/4, 3, 6\/7, 164 in decreasing order.\nAnswer: 164, 3, 6\/7, 1\/4, -3192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67\/2 + -32. Let i be (-10 + 3 + 8)\/((-5)\/(-3)). What is the closest to i in 0.5, m, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, 17, 51, 119, 233, 405, 647, 971?\n\"Answer: 2*n**3 - n**2 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -164*i**3 + 1145*i**2 - 22*i + 38. Give t(7).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/((-6789)\/(-14136) - 4\/38). Solve -y*z = 5*n - 7, -8*n + 4*n + 4*z = 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -232*m. Let w(d) = -385*d**2 - 4*d - 1. What is u(w(c))?\nAnswer: 89320*c**2 + 928*c + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58962 or -59038?\nAnswer: -58962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a + 3. Let m(b) = -b**2 + 23*b + 2. Let c be m(23). Let p(y) = 14*y**2 + 10*y**c - 25*y**2. Determine p(x(r)).\nAnswer: -36*r**2 + 36*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -0*n + 328. What is the first derivative of -12*m + n + 6*m + 30*m wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 702 - 586. Solve -a*x + 119*x - 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(8\/7)*a**0\/a*a*a*a*(a\/(a\/(a\/a**(-2\/13)*a)))**(-3\/44) assuming a is positive.\nAnswer: a**(2999\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5119*g**3 + g**2 + 5112*g**3 + 3 + 1. Let y be d(0). Solve -y*w + v = -0 - 17, 0 = 4*w + v - 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 6*n + 122 = 5*v, 5*n - 106 = -4*v. What is the greatest common divisor of 408 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4623?\nAnswer: 4623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 8*v**2 - 2*v + 19. Let a(n) = 4*n - 40. Let b be a(12). Let h be l(b). Solve -t = -3*q - 1, 4*q - 3*q - h = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -667 + 1882. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s - 17*s - 1911 = 0. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54624\/11 - 4966. Which is the closest to 48? (a) i (b) 1\/4 (c) -2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32107, 31478, 30849, 30220, 29591, 28962?\n\"Answer: -629*t + 32736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.6 and -152473.3.\nAnswer: 2073636.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001419953 rounded to six decimal places?\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v + 2. Let q(n) = 3*n + 2271. What is q(d(i))?\nAnswer: 12*i + 2277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**4 - 4*y**4 + y**4)*(6 + 2 - 3)*(0*y + 4*y - 2*y).\nAnswer: 20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**4 - 2*v**4 + 5*v**4 + (-3*v - 12*v**3 - 13*v**3 - 2 + 26*v**3)*(4 + 2*v - 4) in the form c + b*v + y*v**4 + k*v**2 + h*v**3 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 433 - 51. Let u = y + -1911\/5. Sort 0, u, 11 in descending order.\nAnswer: 11, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18 - 30 - (-5 + -7). Is 3\/2807 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159115856 and 9944741.\nAnswer: 159115856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 330570.\nAnswer: 330570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**20*z*z)\/(z\/z**19))\/(z**18*z**(-1\/14)\/z))**(-6) assuming z is positive.\nAnswer: z**(-1053\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2086)\/(-190) - (29\/3 - (24871\/231 + -109)).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:44 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in 5\/3, 12, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 10*s + 131. Calculate the remainder when 175 is divided by j(-13).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let d = -0.36 + 0.66. Let m be 0 + 2 + 16\/(-5). Which is the biggest value? (a) m (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 2\/5, -2174?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f. Let d(x) = -15*x**2. Give p(d(t)).\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 16*d**2 + 18*d.\nAnswer: -2*d*(d - 9)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b**5\/13 - 3324*b**4\/13 - 140450*b**3\/13 + 1234576*b**2\/13 + 869376*b\/13 + 147456\/13 = 0.\nAnswer: -96, -1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17350?\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*n - 6*n**3 - 2*n**3 + 5*n**3.\nAnswer: -3*n**3 - 31*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + w + 3 = 2*n, -3 = 3*w. Suppose -2*i - n = 0, k - i = -2*k + 16. Let s = 25 - 12. Calculate the remainder when s is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -80 (c) -1\/1336 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, l: 2, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(117) + 3 + (0 + sqrt(117))**2*2 + 0 + sqrt(325) + ((sqrt(325) - 2*sqrt(325)) + sqrt(325))**2 + sqrt(325) + -3.\nAnswer: 7*sqrt(13) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 b, and 1 c when four letters picked without replacement from wccccwbwwbcjcccbcbc?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 0*n - 2*n + 2*n + 2*n - 5*n + (0 + 0 - 1)*(2*n + 3 - 3) + 8*n - 16*n - 21*n.\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1283629654 to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 208 in -361, 6, 5\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3016224 (base 7) to base 6\nAnswer: 11355110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -678, -1019, -1132, -1023, -698, -163, 576, 1513?\nAnswer: 2642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -4, -4645583?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Suppose -g*l = 2*l. Let c = 209 + -206. Solve l = c*a + a - 20, 2*a + 15 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h - 103 - 54*h + 88*h + 17*h - 24*h.\nAnswer: -2*h - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062603 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.53*-69573.\nAnswer: -36873.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -139.86 (b) 30 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 201, 292, 359, 396, 397, 356, 267?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.68 - -16.337. Round b to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 + y + 1. Let l(x) = 2*x**3 + 4*x**2 - 62*x + 3. Calculate 3*b(k) - l(k).\nAnswer: k**3 - k**2 + 65*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21309498 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202220210 + -12?\nAnswer: 10202220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 + 7 + 15 + 65*r**3 + 6 - 30 to d*r + o*r**3 + w + h*r**2 and give o.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 17*u - 2. Calculate v(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001371 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 67455 = 1250822. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7261 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011100 + 1111111110?\nAnswer: 110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 386937*b - 1160822. Determine u(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*d**2 - 60*d**2 - 9*d**4 + (-d**2 + 2*d**2 - 2*d**2)*(-d**2 + 2*d**2 - 2*d**2).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -o + 77, o - 75 = -2*k - k. Suppose -1233 = -3*j - o. Suppose -3*f + 3*g + j = f, 0 = -2*f + 5*g + 175. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-25)\/(-10))\/(4\/40). Suppose -2*p = -m - 71 + 8, m - 1 = 0. Let i = p - w. Calculate the remainder when 11 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 1, m: 1, d: 3}. What is prob of sequence od?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 6. Let t be v(-2). Let h be (32\/20)\/((-4)\/(-5)). Let z(f) = f**2 - 2*f - 1. Let q be z(3). Solve 4*a + 1 + 3 = t*b, h*a + q = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4202.39 times 2.79\nAnswer: -11724.6681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1321*c**4 + 17637*c**2 - 657503581*c wrt c?\nAnswer: 15852*c**2 + 35274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8698690 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157 + 82. Calculate the remainder when 8 is divided by ((-2)\/6)\/(5\/a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 10*t - 80. Let v be o(-12). What is the highest common divisor of v and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 4, s: 3, k: 6}. Give prob of picking 2 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 353 - 342. Suppose -n = 2*t + 4, 5*n - w*t - 25 = -6*t. Solve 0 = -2*b + i - 5*i - 10, -n*b = i + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a*(a*a**(3\/10)*a*a)\/a)\/a)\/a))\/a*a*a**(2\/19)*a*(a**(-7)\/a)\/(a*a\/(a\/(a**(2\/11)*a))*a))**(-2\/29) assuming a is positive.\nAnswer: a**(21687\/30305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6090 + 11429. Calculate the remainder when p is divided by 167.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -212. Let y = d + 78. Let o = -108 - -106. Which is greater: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*u - 32 = -5, 2*h + 9 = u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) - sqrt(153)*4)*4)*2)\/(sqrt(729)*1 + (5*sqrt(45)\/sqrt(5) - sqrt(9) - sqrt(9)))*1.\nAnswer: 13*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7345636, -7345632, -7345626, -7345618?\nAnswer: -7345608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 911817 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000203247656 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*h - 3*h - 2*h)*(-h + 3 - 3) + (6338 + 3*h**2 - 6338)*(-18 + 29 + 18))*(0 + 4 - 3)*(-h + 3 - 3) to the form y*h + i*h**3 + b + p*h**2 and give i.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1585 and 15\/568064.\nAnswer: 2840320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22073 - a10b?\nAnswer: 13b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(121)*-3 - (sqrt(121) - 3*sqrt(121))*-6)\/(-1*2*sqrt(11) - (sqrt(176)*2 + sqrt(11))).\nAnswer: 21*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 7, p: 9}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62526 is divided by 1355.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 1 - 6 = -p, 5*f = 5*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvtavmmmimm. What is prob of sequence ta?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*d + 10 - 62*d - 12*d)*(-5*d + 14*d + 6*d) as x*d**2 + c*d + u and give x.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 85697c (base 15) in base 6?\nAnswer: 344040313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - 15117*d - 90750. Give w(-6).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 1 - 7. Let d(k) be the second derivative of -8*k**2 - 68\/3*k**3 - 67\/3*k**t + 4*k + 161\/10*k**5 + 0 - 49\/3*k**7 + 392\/15*k**6. Factor d(f).\nAnswer: -2*(f - 1)**2*(7*f + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c**3 + 84*c**2 - 80*c - 276. Let o(q) = 8*q**3 - 56*q**2 + 54*q + 184. Let s(b) = -5*h(b) - 8*o(b). What is s(-29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 713 + 707 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61345263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*f - 15 = 0, 0*f - 4*f = j + 3. Let c = -3 + j. Let g be c\/2*(-12)\/(-9). Round g to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5)*3*-3 + -4*((sqrt(5)*-5)**2 - sqrt(5)).\nAnswer: -502 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252276 is divided by 3709.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -13. Suppose 5*d - 16 = 4*j - j, -35 = -4*d - 5*j. Solve t*r = d*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/9)\/w**8*w*w**(5\/3)\/w*w**13)**(-26\/5) assuming w is positive.\nAnswer: w**(-1456\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 44*g + 3237. Is f(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 44342324?\nAnswer: 44342320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 12*w**2 + 86*w + 114. Let z(l) = -5*l**2 - 44*l - 55. Let a(t) = -2*j(t) - 5*z(t). Factor a(u).\nAnswer: (u + 1)*(u + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**3 - 28*d**2 + d + 7. Let s(y) = y**3 - y**2 + 1. Calculate a(q) - 6*s(q).\nAnswer: q**3 - 22*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 17*y - 21. Let a(r) = -15*r**2 + 4*r + 5 + 9*r**2 + 5*r**2. Give -9*a(b) - 2*g(b).\nAnswer: -b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87741076 to the power of 1\/2, to the nearest integer?\nAnswer: 9367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 62*k**2 - 2 + 12*k**3 - 9*k**3 + 4.\nAnswer: 3*k**3 + 62*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2)\/20)\/((-618936)\/121360).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33496806 + -4?\nAnswer: -3349680a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -198, 13109, -1 in increasing order.\nAnswer: -198, -5, -1, 13109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.168 - 10.712. Let t = -0.42 + j. What is t rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.7*2634.1\nAnswer: 49257.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*(35 - 4)\/1 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4675 - -5?\nAnswer: -4670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1435 + -1415. Solve 3*r - 2*l = h, 21*r - 25*r + 24 = -2*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*q - 5. Suppose d - 66 = -q*g, 201 = 4*d - 2*g + g. What is the units digit of (d - 8) + 1 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003679255844 to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/2 + 74699885*m**3\/2 + 1395018167403363*m**2\/2 - 1395018242103249*m\/2.\nAnswer: m*(m - 1)*(m + 37349943)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -816171574.9 to the nearest 100000.\nAnswer: -816200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h + 5. Let s be -188 + 184 - ((-128)\/18)\/2. Which is the nearest to -2? (a) h (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 - 488*v + 3317. Calculate q(18).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 10*y - 5. Let q be p(-9). Suppose -q*b + 8 = 2*l, 0 = -3*l + 5*b + 1. Suppose 8 = 4*d + 2*x - 4*x, 4 = 2*d + 3*x. Solve d = l*w - w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 11. Let h = q + 3. Let r be (-15)\/4*(-1)\/5. What is the third biggest value in r, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:05 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -893 = 44*s - 365 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Let r be l + (-4)\/(-1) - 1. Suppose -r*z - 165 = -w, -4*w - z + 257 + 319 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/49 and 58\/63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15311091 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 + 3 - (-1 + 3)) + -8 + 5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84*65\/(-3120))\/(-1*7\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**6\/600 - 11*o**5\/300 - 7*o**4\/15 - 2*o**3 + 26*o**2. Factor t(m).\nAnswer: (m - 15)*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35558550 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)*j)**(4\/13) assuming j is positive.\nAnswer: j**(44\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*z - 5104422, 15*j - 10*j = -4*z + 6380507. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64075 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.6 + -7.6. Let q = -0.407 - -0.307. What is the nearest to x in q, -2\/11, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 divided by 6?\nAnswer: 655\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 30724 = -30744 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i\/i**(-26)*i))\/(i**(2\/93)*i))**(18\/7) assuming i is positive.\nAnswer: i**(-16752\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23616*u**2 - 47231*u**2 + 23616*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2 + 28*s - 1 + 3*s. Let b be v(1). Suppose 4*x + 8 = q, b = -0*q + 4*q - 5*x. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49.27 and -0.4?\nAnswer: -19.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 52978398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*l + 410 - 410)*(1 + 0 - 3 - 4 + 3 - 1 + 4 - 5 + 3 + (0 + 1 - 3)*(-5 + 2 + 1) - 4 + 0 + 2 + 6 + 0 - 5)*(-3 + 4 + 0)*(-1 - 4 + 4).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 876.99999539 + -877. What is y rounded to 7 dps?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 27*d + 256. Let f be c(-34). Sort f, 3, -1.\nAnswer: -1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 42*p**2 + 0*p + 1\/4*p**4 - 2\/3*p**3 + 1\/30*p**5 + 0. Let d(q) = 6*q**2 + 17*q - 12. Determine -6*d(j) + 17*t(j).\nAnswer: -2*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 1. Let p be y(2). Suppose -19*k = 657 + 2041. Let z be (146\/k - p) + 2. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 79 = -31. Let l = -65 - w. Round l to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-5 + 16\/(-20)) - 4. Suppose 0*c - g = -5*a - 3*c, -5*c - 15 = -3*a. What is the smallest common multiple of 145 and a?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/81 and -32\/822771.\nAnswer: 2468313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**3 + 420986*m**2 - 1096581?\nAnswer: -6*m**2 + 841972*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26229204149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1 + p**2 - 1 + 4*p + 2 - 2. Let r(z) = 5*z**2 + 4*z - 3 - 4*z**2 + z. Let h(o) = 5*m(o) - 4*r(o). Differentiate h(c) with respect to c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1786211282 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3473 or 88?\nAnswer: 3473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) + 1 - sqrt(1088)))**2 + 1.\nAnswer: -16*sqrt(17) + 1090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 133 - ((-2)\/1 + 0). Suppose -p + n + 13 = 0. What are the prime factors of p?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*r - 21 - 379 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.42 + 41.42. Let m = 0.02 + 0.03. Which is the nearest to n? (a) 0.4 (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20361072 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/8822 and 6\/11.\nAnswer: 8822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.882 plus 0.1?\nAnswer: -0.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 x when three letters picked without replacement from {t: 1, s: 5, x: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 15\/38, 5, 0.2, 95, 0.3 in ascending order.\nAnswer: -4, 0.2, 0.3, 15\/38, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105488 is divided by 5666?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55)\/22*2564\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:15 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x + 10 = 0. Let b be (-11)\/x + 1\/2. Let s(y) = y**3 + 6*y**2 + 5*y - 4. Let i be s(b). What is the nearest to -0.1 in -1, 2, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 378, 5\/3, -4, -0.1 in descending order.\nAnswer: 378, 2, 5\/3, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106604.\nAnswer: 2, 29, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 11. Let a = o + 3. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1144 and -85\/2704?\nAnswer: 29744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72587893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1966542683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6611 and 22550?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15268146 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555*d - 540940 = 272*d + 263*d. List the prime factors of d.\nAnswer: 17, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004243 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*u**4 + 8*u + 313?\nAnswer: -88*u**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-18) + ((-4488)\/176 - -26)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3b8a11 (base 13) to base 7\nAnswer: 15205423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9040.68mm?\nAnswer: 9040680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000767066 rounded to 5 dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -260 or -8092\/31?\nAnswer: -8092\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 10*a**3 - 6*a**2 + 16*a + 8.\nAnswer: 2*(a - 2)**2*(a + 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.096 + 0.096. Let m = -11 + 14. What is the third biggest value in f, -5\/3, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Suppose -3*s = 4*v - s - 392, 5*v - 3*s - 512 = f. What is the highest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -1 + -1*(-3 + sqrt(11)))**2*1.\nAnswer: 16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3680, -16114, -36838, -65852, -103156, -148750, -202634?\n\"Answer: -4145*u**2 + u + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2147*i + 25584 + 35915 + 15793 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*g - 638*g = -438762317. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38003101*g**4*j + 2*g**2*j**3 + 128018670*j**3 with respect to g.\nAnswer: -152012404*g**3*j + 4*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-5))\/(j**(-5)\/j*j)*(j**1)**(-1) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201978 by -3.\nAnswer: 67326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtjt when four letters picked without replacement from {f: 9, j: 1, t: 2, b: 1, g: 4}?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(1\/2)\/(-1). Let p(a) = -5*a**2 - 4*a - 6. Let u(x) be the first derivative of x + 1\/2*x**2 + 1\/3*x**3 + 7. Give h*p(s) + 6*u(s).\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 5*u**2 + 7*u + 9. Let q = -15 - -8. Is o(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 807993 and 5814?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9852 = 2*b - 4*s - 1720, -2*b = 5*s - 11536. Does 27 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/101 greater than 35.335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13806 - -20279. What are the prime factors of n?\nAnswer: 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/184 - (-2948)\/(-46). What is the hundreds digit of 4468\/32 - 24\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 223710.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 10 = -q - 4, 3*d - 4*q + 19 = 0. Let n be (-403)\/(-558) + (d\/2)\/5. Which is the second biggest value? (a) 0.1 (b) n (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -360*p + 30. Let f be o(5). What is the remainder when (f\/(3 + 3))\/(-1 + 0) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:56 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 44*p - 308. What is z(11)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3))**(-39))**(-2\/93) assuming b is positive.\nAnswer: b**(-26\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 484526599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108451478*i**2 - 24060*i - 915 wrt i?\nAnswer: 216902956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = w. Let i = 13 - 10. Suppose 2 = 2*q, -2*r - 12 = -i*r + w*q. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 12*h + 4200. Find the third derivative of -2*x**2 - h*x**5 + 2*x + 0*x + 301*x**5 + 3*x**4 - 9*x**2 wrt x.\nAnswer: 60*x**2 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) - 4\/(-7). Suppose -2*p - 2 = k, -p + 4*k - 3 = 7. Let u = p + 4. Which is the nearest to u? (a) 3 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 0. Let u = -0.02 - 0.04. Let f = u - -0.56. Put 2\/13, p, f in decreasing order.\nAnswer: f, 2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1186252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 + 21 + 10*l + (4*l - 5*l + 2*l)*(-2 - 2 + 2).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 1. Let h(t) = -4*t + 3. Let p(q) = -9*a(q) + 2*h(q). Let n be p(5). Suppose n*j - 16 = 12. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**6\/120 + t**4\/24 - 2*t**3\/3 - t**2. Suppose -10 = -4*j + 6. Suppose 4*d = j*p, 0 = 3*d - 2*p + 4*p. Determine o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a99 (base 12) to base 7.\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 610386016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/(-2688)*(-1440)\/(-450)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)\/(9\/675). Let k = p - 72. Calculate the least common multiple of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 26 = -2*v, 13 + 13 = 3*v + 5*p. Let g be (-120)\/14*(-21)\/6*1. Let m be 1\/(9\/g + (-3)\/12). Calculate the greatest common divisor of v and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*c - 743, 5*r = 3*c + c + 990. Let y = c - -4907\/20. Find the common denominator of 51\/22 and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 - 3897*v + 3897*v - 199*v**3 + 38*v**2 wrt v.\nAnswer: -1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 440?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0 - 1. Let b(j) = 50*j - 1. Is b(g) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**2\/3 + 88*r\/3 + 58.\nAnswer: 2*(r + 3)*(5*r + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f = -4*p + 3*p - 66, 3*f + 74 - 107 = 2*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -0.7. Let g = 177 - 889\/5. What is the closest to f in 3, 7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234547*q**5*u - 30*q**2*u + q*u - 3*q - 412*u + 2 wrt q.\nAnswer: -14072820*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2\/(-2) - (13 + -16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 4 - 4 + 11*m**2 - 5239*m + 5239*m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1855 + -1527. Is a greater than or equal to 328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -297501 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(693\/27) + 3\/(-7). Suppose 4*n + s*n - 172 = 0. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 17. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112*w**5 + 136*w - 2.\nAnswer: -2240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 246 = -46. Suppose -z + y = 4*z. Suppose 4*i = -i + z. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.096 at most as big as 2\/759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v + 14. Let t be k(-4). Let m(w) = 2*w**2 - 45*w + 47. Let o be m(t). Solve -2*q - 3*b = o, q - 2*b = 4 + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*f + 12 = 0, -3*p + 2*f + 9 = -0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 13 + (8 - 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/20 + 13\/4. Let k(b) = -5*b**3 + 3*b**j - 3*b**2 + 3*b**3 + 2 - 4*b. Let q be k(4). Solve -8 = -0*l + q*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1566 and 56754.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1047, 30, 0.5, 1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-1 + 15\/10) - -4476. Suppose -30322 = -3*z + h. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16512329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-42))\/(((-16)\/846)\/((-31)\/(372\/(-8))))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -254. Let k be c\/(-5) - 21\/35. Let h be (-3)\/4 + k\/(-44). Put h, 5, -0.05 in decreasing order.\nAnswer: 5, h, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-3 + 4))\/(-2). Suppose i = 5*p + 5, 2*h - 3*p + 7*p = 8. Suppose -4*q + 1580 = h*q. List the prime factors of q.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8575338 divided by 2858446\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(5\/1 - 792\/144). Solve 25*b = 9*b - y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85745533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5388 or -1330796\/247?\nAnswer: -1330796\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soks when four letters picked without replacement from kkkoosokkkosokkkkkko?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*d - 105, -2*d + d - 136 = 5*n. Let i be 4\/6 + 72\/n. Let v(s) = -4*s**2 + 3*s + 3. Let t(k) = k**2 - k - 1. Calculate i*v(y) - 6*t(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 + 7*a**2 + 18*a - 2. Is q(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-3)*5\/9. Let u = 25\/72 + d. Calculate the common denominator of u and 3\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2089.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-77))\/((-15)\/(-105)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 5 + 2 - 2*l**2 + 0*l**2.\nAnswer: -5*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.95 + 0.75. Let d = 2 - 2.2. Let l = d - -0.4. What is the second smallest value in l, 0.4, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Suppose -36 = -2*s - 3*w, w = -3*s - c*w + 56. Let h be ((-2)\/2)\/(6\/(-18)). Solve 0 = 3*d - 2*d - h*x - 7, 4*d + s = -x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.3, -18583?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176))**2*-6 + ((sqrt(11) + sqrt(99) + sqrt(11))*1)**2)*1.\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 22*i**3 - 66)*(-5*i**2 + 7*i**2 + 2*i**2)*(-3 + 1 + 1).\nAnswer: 88*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186551.\nAnswer: 186551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 5*r. Let q(m) = -m**2 - 7*m. Let b(p) = -7*l(p) - 5*q(p). Let s(x) = -7*x. Let y(o) = -132*o. Let i(c) = -77*s(c) + 4*y(c). What is i(b(w))?\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhhhh. What is prob of picking 1 h and 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1936)\/29232 - 17\/(-493))*27\/(-6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -475 + 534?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + -50. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - 8 - 1365\/105.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12335149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**2 + 520*d - 516 = 0.\nAnswer: 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l**2 + 12*l + 13. Let d(w) = -w. Let s(i) = 3*d(i) + x(i). Let f be s(-6). Suppose -3*a + c - f = -7*a, -2 = 2*c. What are the prime factors of a?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -339 and 0.1.\nAnswer: -33.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s + 37. Suppose 59 = -22*x + 323. Let u be p(x). What is the greatest common divisor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11212 - 4?\nAnswer: 11207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/21 - -27*(-2)\/126. Factor -8\/7*c - 8\/7 - g*c**2.\nAnswer: -2*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2476 in 171, -12, -2?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -25\/2*n**2 + 0 + 5\/6*n**4 - 5\/42*n**7 + 5\/2*n**5 - 120*n + 1\/2*n**6 - 15\/2*n**3. Factor v(m).\nAnswer: -5*(m - 5)*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/28 + 15\/(-20) + 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*j - 10, 3*z = 2*j - 11243. Is -3751 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*b**4 - 76494*b**3 - 107115*b**2 - 30606*b = 0. Calculate b.\nAnswer: -1, -2\/5, 0, 5101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*g + 3*o - 39, -4*g - 5*o + 51 = 0. Let m(v) = -v**2 - 7*v + 4. Let j be m(-5). What is the highest common divisor of g and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262850 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:14 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/9)\/(y*y*y*y**(3\/5)*y)*(y\/y**(-9)*y)\/((y*y**(-2\/7))\/y*y) assuming y is positive.\nAnswer: y**(1826\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 43, 85, 149, 241?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 + -30)*(2\/4 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420) + sqrt(2420) + (sqrt(2420)*4 - sqrt(2420)) + (4*sqrt(40))\/sqrt(2))\/(1*(sqrt(324)*-2 - sqrt(324))*4).\nAnswer: -59*sqrt(5)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3458*v + 3479*v + 1533 = 0 for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 2. Let b = -10 + t. Suppose 3*h = 3*m, -6 = -b*h + 4*m - 2. Solve 8 = 2*d + 5*a, -5*a = -d - h*a - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 1\/4*d**4 - 2*d + 2\/3*d**3 + 0*d**2 - 1\/20*d**5 + 0. Calculate the remainder when 45 is divided by r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33328, -33339, -33364, -33409, -33480, -33583, -33724?\n\"Answer: -a**3 - a**2 - a - 33325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*66.\nAnswer: 7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3717.413ms?\nAnswer: 3.717413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15*(5\/(-3) - 30\/10))\/(-2). What is the greatest common divisor of 259 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000366902728 rounded to 5 decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, j: 8, o: 3, d: 2, y: 1}. What is prob of picking 1 j and 3 n?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 929342 and 5866?\nAnswer: 6505394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l + 16. Let z(c) = c**2 + 8*c + 2. Let v(d) = 2*d**2 + 23*d + 5. Let k(t) = l*v(t) + 11*z(t). Let m be k(2). Solve -2*b + m = -0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, -1, -31, 27 in decreasing order.\nAnswer: 27, 4, -1, -9, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/45 + 176\/5. Let k be (-2)\/8 + 2526\/24. Calculate the greatest common factor of n and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (150\/9)\/((-8)\/(-12)) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230020 + -46923971\/204. Calculate the common denominator of g and -113\/996.\nAnswer: 16932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83\/93 + 25435\/1302. Let i = p - -617\/42. Factor -i - 4\/3*k**2 + 40\/3*k.\nAnswer: -4*(k - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 717 - 653.4. Round y to 0 dps.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 263.761?\nAnswer: -791.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - m)*(3 - 1 - 1)*(-8 + 2 - 3).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1)*(h - 4*h + 0*h)*(0 + 0 - h) to o*h**2 + t*h + i and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:08 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1915 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 375782.8mm in micrometers?\nAnswer: 375782800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -26437*x**3 + 70*x**2. Let v(u) = 17474856*u**3 - 46256*u**2. Calculate 3304*s(z) + 5*v(z).\nAnswer: 26432*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 124116\/67 or 1853?\nAnswer: 1853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/30 - 113*p**3\/6 - 70*p**2 - p. Let d(a) be the first derivative of g(a). Let h be (-3 - -2)*(-1 - -2). Calculate d(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20349773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*x**5 - 15*x**4 + 174*x**3 + 204*x**2 - 72*x = 0. What is x?\nAnswer: -2, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2 - 1317*i - 5316 = 0.\nAnswer: -4, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x - 98. Let r be h(-13). Let c(j) be the first derivative of -j**3\/3 - 10*j**2 + 35*j - 1. What are the prime factors of c(r)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 + 320 = -9*q + 195 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6054 at least -6056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.36 - 0.46. Let n = -3 + u. Let g = 0.0691 + 3.9309. Which is the closest to -0.1? (a) 0 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3373, 6218, 8535, 10324?\n\"Answer: -264*p**2 + 3637*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 6:50 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:50 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 3*m**2 + m + 4. Determine c(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, i: 3, f: 1}. What is prob of sequence si?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5160?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 403*y - 592*y - 3024 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-150))\/(2\/(-10)). Which is bigger: m or 1\/3235?\nAnswer: 1\/3235","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 84*x - 7932 = -6420 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 5) to base 7.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-20*35\/525)\/(4\/42)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2694748420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2223 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 320675?\nAnswer: 5, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1179 - 1183. What is the closest to 5 in 1\/5, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -797*n**2. Let b(x) = -81*x**2 - x + 24. Determine b(y(m)).\nAnswer: -51451929*m**4 + 797*m**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 6. Suppose -4*z - 2 - 6 = -2*i, z = -2*i + 3. Let q(r) = r + 6. Let n(a) = i*m(a) - 3*q(a). Calculate n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*q + 276*q + 278*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16719 is divided by 8357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) + 0) + sqrt(11) + 0 + -5 - -2*sqrt(704)*1)**2 - -3*(sqrt(891) - (sqrt(891) - 4*(sqrt(891) + 0)))*6.\nAnswer: 438*sqrt(11) + 4876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/6*(1 - 4). Let y be 4\/24 + 278\/(-12). Let b = r - y. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + (-40 - 2 - (236 - 245) - -5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkv when three letters picked without replacement from vvkkkknkkkvvkkvn.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, k: 1, w: 2}. Give prob of picking 2 j and 1 w.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(242) + -1 + sqrt(242) + 2 + sqrt(242) + sqrt(242))**2 - (1 + sqrt(242) + -1)) + -1.\nAnswer: 77*sqrt(2) + 3868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471125553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:20 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times -171.4532\nAnswer: -308.61576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - ((-16)\/4 + 2). Suppose -21 = -4*t + i, -p*t - 2*i + i + 15 = 0. Let d be -1 - (-2 + t)*2. Which is the second biggest value? (a) d (b) 0 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o + 1. Let p be z(-1). Let x = -14 + 14. Suppose 0*v + 4*v = x. Solve v = 4*g + 11 + p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1827\/1196?\nAnswer: 1827\/1196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 444*d*t*u*x - 71*d*t*x + 57*t*u + 565*t*x + u*x + u + x wrt d.\nAnswer: 444*t*u*x - 71*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 - 4. Calculate l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8969428?\nAnswer: 2, 13, 172489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 69 - 14. Let m = 0.01 - 1.01. Which is the biggest value? (a) -2\/11 (b) k (c) -5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01612 times -3?\nAnswer: 0.04836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 65036.28ms?\nAnswer: 65036280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 2*t**2)*(2 + 6*t**2 + 0*t**2 - 3*t**2)*(34 + 20 - 13).\nAnswer: -246*t**4 - 164*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-4)\/8*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1322 = 16*c - 17*c. Find the third derivative of -c*t**4 + 1373*t**4 + 12*t**2 - t**2 wrt t.\nAnswer: 1224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 4*f**2 + 35*f + 6. Determine o(-9).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 + 3*k**2 - 4*k - 1. Let t(l) = -l**3 - l**2 + l + 1. Let w = 47 + -29. Suppose 2*x - w = -4*x. Determine x*t(r) + y(r).\nAnswer: -r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 1\/5, 5.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -49*u. Let h(c) = -62*c**2. Calculate h(n(p)).\nAnswer: -148862*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -357619955, -1430479811, -3218579571, -5721919235, -8940498803?\n\"Answer: -357619952*m**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + t)*(6*t - 10*t - t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose -2*j + 6 = -5*j. Let x be (2\/4)\/(j\/(-24)). Calculate the greatest common factor of l and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 15 + 4 - 11*q - 7*q to i + p*q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4028139 and -5.\nAnswer: -20140695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55555837193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6*(o**(-2\/15)\/o)\/o*o**(2\/19)\/o**(-5))**(-9\/11) assuming o is positive.\nAnswer: o**(-7671\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0 + 7\/6*w**3 + 1\/12*w**4 + 5*w**2 + 8*w. Give l(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 3:22 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2341\/11 + 213. Sort g, -9, -1\/4.\nAnswer: -9, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = -28. Suppose -2 = v - 4*g, -v = 5*g - 22 - b. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15013461 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 - 21510?\nAnswer: -21413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 13*t**2 + 6*t - 14. Let v be b(6). Let n be -8 + v\/63 + 272\/9. What is the greatest common divisor of n and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 123240.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 + -6069?\nAnswer: -60ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/9746 and 26\/11?\nAnswer: 9746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 343, 689, 1037, 1387, 1739, 2093?\n\"Answer: z**2 + 343*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/15, -7, 5, -196142 in decreasing order.\nAnswer: 5, 1\/15, -7, -196142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + j)*(-12*j + 3*j - 3*j)*(1 - 3 + 0).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 4:35 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -8.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161 - -241. Let k = w - 62.5. Let d = -17 + k. Which is the nearest to -1? (a) 1 (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*p + 71*p - 177*p.\nAnswer: -196*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*r + 115538 = 101*r. What is the remainder when r is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 - (15 + -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5 - 32*z**4 - 156*z**3 + 368*z**2 + 2240*z + 2304 = 0. Calculate z.\nAnswer: -4, -2, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 22*q**2 - 48*q + 42*q**2 + 46*q - 19*q**2 - 3*q**4 + 3 as o + n*q + a*q**3 + j*q**2 + w*q**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/2)\/(168\/126))\/(117\/6)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -9. Solve m = f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 4*m + 10 = 0. Solve -6*g + m = -7*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l - 1. Let t = -1 - -3. Let p be o(t). Suppose 2*y = -4*h + 12 + 8, -p*y + 3*h = 15. Solve j - 4 = -y*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5282770.\nAnswer: 2, 5, 653, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 22\/3 (c) 4\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + (109 + 1)\/1 is divided by -8 - (24\/20)\/((-13)\/390)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9477 divided by 81.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2*u**3\/3 - 11*u**2\/2 + 2*u + 4399. Determine y(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8407660, 16815319, 25222978?\n\"Answer: 8407659*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 918 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6250 + 6250.7469. Let r = v + -0.74. Round r to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 minus 0.2027?\nAnswer: -0.3227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {y: 8, b: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f**(-4))\/(f**(1\/4)\/f*f**2))**31 assuming f is positive.\nAnswer: f**(-651\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 402223 (base 5) to base 11\nAnswer: 9699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 6*z - 3. Let b be s(2). Suppose 4*u + 1 = 3*t, b*t - 3 = 13*t + 5*u. Solve 0*l + 9 = -l - 4*q, 0 = -l - 2*q - t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 9 + 6. Let u be 614991\/15 - n\/5. Round u to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssg when four letters picked without replacement from {s: 4, g: 14}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5670256 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -7*v + 72. Suppose 0 = -2*c + v, -85 + 34 = -3*p - 3*c. Is 3 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 3, -0.4, 5, 0.1178, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-3 - -3)\/1. Suppose y - 208 = -4*t + 5*y, u = -4*t - 3*y + 180. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20 + 0)*(-4)\/10. Suppose 1 + 5 = 3*a - 2*x, -5*a = 5*x - 10. Suppose 3 = a*d + 1. What is the greatest common factor of c and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6861 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11736 and 1176.\nAnswer: 575064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -364, -797, -1260, -1753, -2276, -2829, -3412?\n\"Answer: -15*r**2 - 388*r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = -0*b. Suppose -r - 7*n + 2*n = 10, -5*n = 5*r + 10. Suppose w = b*m - m - 85, r = w - 3. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 4 - 1 + 8 + 2. Let o(h) = -2*h**2 - 4*h + 1. Let r be o(-3). Let u(k) = -3*k**2 - 4. Determine r*u(a) - 4*l(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 5 = 19*m. Put -3, 14, m, 3 in decreasing order.\nAnswer: 14, 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 52*w**2 - 118*w + 113. Let n(i) = 9*i**3 - 217*i**2 + 474*i - 451. Let q(x) = 26*h(x) + 6*n(x). Factor q(t).\nAnswer: 2*(t - 2)**2*(t + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018701 to 4 decimal places.\nAnswer: 0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let a be -4 + -1 + (330 - 1). Suppose 3*q = 72 + a. Calculate the highest common divisor of q and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + y + 5 = 13, 0 = 3*z - 2*y + 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.04 - 21.04. What is the nearest to -9 in -0.1, m, -3\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*f**4*t + 35*f**2*t + 672*f - 23*t wrt f?\nAnswer: -996*f**2*t + 70*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -34098.34.\nAnswer: -68196.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1986329345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from {m: 4, x: 4, e: 2, t: 1}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 + -186. Let h = d + 68. What is the nearest to 1 in 24, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425304 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3040651?\nAnswer: 719, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 5732*d - 5729*d + 1 to the form z + v*d and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nghvwaa. Give prob of picking 1 n, 1 w, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97149744 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*u + 32, 0 = 2*u - 9*o + 13*o + 10. Let a(k) = 3*k - k + 2*k - u*k. Let g(f) = -21*f + 8. Determine g(a(h)).\nAnswer: -21*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 84 in ascending order.\nAnswer: -8, 2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1141920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 160394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -116691800 divided by 2333836\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 144 = 6*b, -88 = -1424*b + 1420*b + 2*j. Let r = -271 - -384. Calculate the remainder when r is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 + 15*l**3 - 226 + 167*l**3.\nAnswer: 182*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Divide -15176 by 8.\nAnswer: -1897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*s - 5*z + 6, s = -2*z. Let i(t) = -2*t**2 - 7*t + 7. Let y be i(s). Is y <= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*r = 33*r + 4982 - 1850 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(351))\/(sqrt(27)\/sqrt(81)).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 + 200416243?\nAnswer: 200416325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - z**2 + 2*z - 3. Let t be l(-3). Let v be 13\/(-26) - t\/(-2). Calculate the common denominator of (-161)\/14*2\/v and 28\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcpcypgkpppytpctcptp. What is prob of picking 2 c, 1 t, and 1 g?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013208085081 to six decimal places.\nAnswer: 0.013208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.5924969517 and 23.\nAnswer: 15.4075030483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37603.\nAnswer: 31, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310 + 343?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, and 1 h when three letters picked without replacement from {h: 3, v: 3, a: 1, i: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -826766016 and -4.2?\nAnswer: 826766011.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 42 = -3*x - 3*h, 3*x - 2*h - 40 = 0. Solve 0 = x*d - 24 - 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 + 62 - (1 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and 4568.\nAnswer: 246672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 863 - -698. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 101, 2 in descending order.\nAnswer: 101, 35, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 44*b + 782. What is h(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58713 + -58710. Find h, given that 1\/5*h + 0 + 1\/5*h**x - 2\/5*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 1\/2, -99, -2\/13, -0.3, 5 in ascending order.\nAnswer: -99, -0.3, -2\/13, 1\/2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 20*g**3 - g**2 + 11*g - 8. Let m(t) = 31*t**3 - t**2 + 17*t - 12. What is -8*b(c) + 5*m(c)?\nAnswer: -5*c**3 + 3*c**2 - 3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + 85. Let t be 118*(-17)\/(-12) - (-3)\/(-18). Let w = t + q. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 6.95 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 5:36 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 505102040*d - 805834157?\nAnswer: 505102040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:25 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67.5 + 267403495181.\nAnswer: 267403495113.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 2*v**3 - 5 - 2*v - v**3 - v - v. Let w be g(-4). Solve 1 = 3*x - w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14861 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from xgxwxxlwxgxwh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586238611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhuo when four letters picked without replacement from {h: 15, o: 3, u: 2}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99676976 and 1398529.\nAnswer: 1096446736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 416, 408, 402, 398, 396?\n\"Answer: r**2 - 11*r + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3879?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44006 is divided by 815?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -931*b - 1005328 = -950*b. What are the prime factors of b?\nAnswer: 2, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w**3 - w**2. Suppose 0 = -t + 10 + 39. Suppose 3*v - 5*a - 120 = -t, -v + 20 = 2*a. What is the lowest common multiple of v and f(-1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12*360\/32 + 1*4. Suppose -142*k = -t*k - 27. Solve -5*y - 3 + k = -2*l, 8 = -y + 5*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144*g**3*o*w - 1757*g**3*o + 3*g**3*w - 2*g**3 - 617*g**2*o + 3*g**2*w - 3*g*o*w + 60*g*o wrt g?\nAnswer: 864*o*w - 10542*o + 18*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-8))\/((k*(k**(1\/6)*k)\/k*k*k)\/k))\/((k\/(k*k*k\/(k**(-5)*k)*k)*k)\/k)**10 assuming k is positive.\nAnswer: k**(461\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p\/p**(-5))\/p)))\/p**(3\/5))**(-26)*(p**(2\/9)\/(p\/p**6))**32 assuming p is positive.\nAnswer: p**(2372\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 0.1, -0.0046?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545061 a multiple of 1277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -30. Let k be (-2)\/(-5) + (l - 556\/(-10)). Suppose g + 3*c - 8*c - k = 0, 0 = 2*g + 2*c - 132. What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 24*i - 48 = 0, -34*i - 463 = 4*j - 67 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2202*j**3 - 2924*j**3 + 712*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/21*x**2 - 136\/21*x + 730\/21.\nAnswer: -2*(x - 5)*(x + 73)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 13*v + 3. Let w be y(13). Suppose 0 = -i + w*z - 4, 3*i = -z + 2*z - 20. Find the common denominator of 26 and (-89)\/(-10) - i\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12231 - -2330?\nAnswer: 21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 4*z + 7*z + 28*z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -91. Differentiate v**4 - 5 - p*v**3 + 38*v**3 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59, -3, -197, -535, -1029, -1691, -2533, -3567?\n\"Answer: -2*g**3 - 54*g**2 + 114*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/1134*6\/8.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, 37, 28, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 92 + 111 = 0. What is the least common multiple of x and 279?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/152940 and -109\/180.\nAnswer: 458820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11212000111111 (base 3) to base 16.\nAnswer: -275995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/2010 and 37\/1206.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86\/9 - 4979\/522. Calculate the common denominator of f and -57\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 13. Let p be (-2)\/11 - o\/22. Suppose 0*j - 4*j - 20 = p. Which is the closest to 2\/7? (a) -3 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419*r - 200*r - 194*r.\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.17 - -0.17. Let m = 23 + x. Which is the closest to 1\/2? (a) m (b) -0.3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5800.5205 - -5792. What is w rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7232 and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*4\/(-3))\/(-10*120\/(-900)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117.9936 - 118. Round j to 4 dps.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 3*r**2 - r + 3. Let s be w(3). Let y = 5 + s. Suppose 4*n + y = -n. Which is the nearest to 2? (a) 2\/5 (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -9*c + 12*c - 29796, 0 = -c - 3*f + 9944. Let v = c + -5852. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 40 = 3*j. Let a = j - 5. Suppose -2*y + 2 = -a*m, -m - 4*m - 6 = -4*y. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42158160 divided by -18?\nAnswer: -2342120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(832)*-2 - (4 + sqrt(208))).\nAnswer: 20 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 8. Let a be v(6). Let r = -30 - -34. Suppose a*m + r - 24 = 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 47. Let y = z + -39. Let n = 25 - y. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -27 + 15 - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4819\/15 - -1603\/5. What is the nearest to a in 4, 7.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4068622 = 30*b + 413752. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173.02551 + -0.00449. Let r = 175 + i. Round r to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/10 and -103\/104313340.\nAnswer: 104313340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z**2 + 8*z + 2*z**2 + 3*z + 5 - 12*z as t*z**2 + w + j*z and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) 4 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 - 27*h**2 - 11*h + 25. Calculate w(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 288163529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-1 + -1) - (6 - 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.6721ml in litres?\nAnswer: 0.0836721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 1 - 15, 0 = -r + 3*p + 7. Sort r, 2, 5 in decreasing order.\nAnswer: 5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 34 - 8*o - 39*o + 13*o. Calculate the remainder when i(20) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*w**3 - 18*w**3 - 10*w**3 - 11*w**3 + 2 - 16*w**3 + 3*w**2 to d*w**3 + z + l*w**2 + p*w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002112221 + -22?\nAnswer: 1002112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765001.\nAnswer: 61, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*f - 159*f**2 - 32*f - 82*f + 32*f.\nAnswer: -159*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -366616229, -733232461, -1099848695, -1466464931, -1833081169?\n\"Answer: -s**2 - 366616229*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**2 + h**2 + 2*h**2)*(-h - 2*h + 2*h) + 157*h**3 - 1223*h**2 + 1223*h**2 - h + h + 4*h**3 to u + n*h**3 + v*h**2 + g*h and give n.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16477 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + 14 + (-10 - 9 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.78 + 4.68. Suppose 0 = -5*f - 3*o + 6, -2*f - 2*o + 2 + 2 = 0. Put -1, k, f in decreasing order.\nAnswer: f, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16245 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3553365 is divided by 364?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69702804 a multiple of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 263965 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29590 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + ((sqrt(21) - sqrt(336)*-4)\/(sqrt(27)\/(sqrt(9)*1)) - (-3 + sqrt(343) + -2*sqrt(343))*-6)))**2.\nAnswer: 28750*sqrt(7) + 122600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -4*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*u - 0*u - 30, 2*t - u + 15 = 0. Let d = 51 + -99. Let p = d - -47.9. What is the nearest to p in t, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5645613 to the power of 1\/2, to the nearest integer?\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*h + 1 = 0, -5*v - 251*h + 252*h = 40 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2502.65*-286.\nAnswer: 715757.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-2395308\nAnswer: -239530.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 699619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6119*y**2 + 3902*y**2 - 4072*y**2 - 1696*y**2 - 5486*y**2 + 3.\nAnswer: -13471*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 30*h**2 - 9*h**2 - 8*h**2 - 13*h**2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4766025 and 20.5.\nAnswer: 97703512.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72071 = 4*s + 729. Round s to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f. Let l = f + 0. Suppose l*b + 3*b = 45. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h - 34854 = -42*h - 3*y, 58083 = 5*h - 2*y. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = 0. Let r(x) = 12*x + 37. Let m be r(-3). Put 4, n, m in ascending order.\nAnswer: n, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 15 = -w - u, -3*u = -w + 12. Solve -3*j - 5*n = -8 + 4, -w*n - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 2*t**2 - t**4 + (-2*t**3 - 4 + 4)*(2*t - t - 2*t) - 2*t + 2*t - 2*t**4 - 2*t**4 + 4*t**4 + t**4.\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39689.251 + -39671. Let u = g - -0.449. What is u rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10110 - 4?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 133. Calculate the remainder when j is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c + 34*c - 13*c - 12*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8327345\/132 + -63087. Calculate the common denominator of 49\/9 and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2958 + -2908. What is the nearest to s in 29, -3, 2\/11?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(72)*-2 + (sqrt(75) + 1*sqrt(75) + -4 + sqrt(75))**2.\nAnswer: -362*sqrt(3)\/3 + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.2 and -18162334936.\nAnswer: -18162334922.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3193 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 14. Let b be j(-10). Let i = b + 19. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/60 - y**4\/4 + y**3 - 2*y**2. Let z be l(5). Let g = z + 44. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509, 1981, 4435, 7871, 12289, 17689, 24071?\nAnswer: 31435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.280876\nAnswer: -0.0561752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -102*k + 105*k - 3, -12 = 2*d + 3*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9715 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Suppose -4*z + 5*s = -1, z + 5 = -2*z - 2*s. Let y be (4 + -4)\/(1\/z). Let f(h) = 0*h - 2*h + y*h. Calculate q(f(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d**(22\/5))\/d*d\/(d*d\/d**(-2\/43)*d*d)*d)\/((d\/(d\/(d**(-3\/4)*d)*d))\/((d\/(d\/(d\/(((d**(-22)*d)\/d)\/d))))\/d)) assuming d is positive.\nAnswer: d**(24169\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/3*(-1026)\/266?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 - m**2 + m + 1. Let t be i(-1). Let k be 1\/t + 3\/6. Is 1 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmpmmmpmpmp. What is prob of picking 2 p and 1 m?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1)*(-35)\/7. Suppose -q - 24 = -y. What is the remainder when y is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*v - 533, -2*v = -4*r + 10 - 332. Let y = 302 - v. Let n = y + -94. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3.5, 2\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10832 and 2432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/((-12056)\/220 - -55)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Let i(h) = h**2 - 5*h - 20. Let s be i(8). Let t be w(s). Sort t, 2, -2 in increasing order.\nAnswer: t, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/887061 or 1?\nAnswer: 4\/887061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j. Let d = 151 + -147. Let y(t) be the second derivative of 0*t**3 + 1\/6*t**d + t + 0 + 0*t**2. What is y(h(x))?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -2*b**2 - 4*b - 5. Let p be r(-1). Suppose p = 3*a + 10 + 5, -12 = 2*i + 4*a. Solve i*l = l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4912 - 4990 - (-20 - (0 + 2))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 - -15.38.\nAnswer: 337.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083031411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 8:14 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:41 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**3 - 3751*c**2 + 4296*c + 224. Give r(-537).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-370)\/(-2076) - (-3)\/6. Let z = -2\/173 + r. Let v = 4 - 6. Is z <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39488983?\nAnswer: 39488983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -54*t**3 + 54*t**3 + 11*t**5 - 61*t + 87. Differentiate p(u) with respect to u.\nAnswer: 220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 85119.\nAnswer: 340476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*o + 6. Let a = 86 - 301. Let t = -205 - a. Calculate the remainder when t is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*q - 126*q - 18 = 0. Let n(w) = -w**3 - 5*w**2 + 2*w + 4. What is the remainder when 350 is divided by n(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.96787l to millilitres.\nAnswer: 57967.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 0)*(-25 + -1). Let j = l - -133. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/28)\/((-2)\/1)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12580 is divided by 5874?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeeeezzzz. Give prob of sequence ee.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*j**3*l**3 - j**3*l**2 - 56*j**3 + 51*j**2*l**4 + 2*j*l**3 - 3*l**2 - 260*l + 1 wrt l?\nAnswer: -78*j**3 + 1224*j**2*l + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 13. What is the remainder when (3 + 44\/(-10))\/((-4)\/20) is divided by t(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15 + 3*(-3)\/(-9). Let d = 6 - t. Solve -4*g + z = d, -3*z = g + 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/54*3*147\/(-392)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0, 0.7, -1.\nAnswer: -1, 0, 1\/4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -21\/4*j**4 - 18*j - 9*j**3 + 0*j**2 - 1\/10*j**5 + 3. Find the second derivative of p(y) wrt y.\nAnswer: -12*y - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 9*v - 5. Let u be n(-8). Suppose 0 = -3*a + u + 12. Suppose 5*k = -a*x + k - 2, 0 = -4*x + k + 11. Solve 0 = -z + x - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9450.756 milligrams?\nAnswer: 9450756000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*j + 44, -j + 3 = -2*b - 7. Suppose -3*u + 3*z = -11 - 4, 0 = -u + 4*z + j. Solve 5*q - u*q = -12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152*l**4\/5 - 427243488*l**3\/5 - 890085794*l**2\/5 - 14389718*l - 1483476\/5 = 0. Calculate l.\nAnswer: -370869, -2, -1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4) - (-12259)\/52. Suppose 3*f = 4*s - r, -2*f = -3*s - 4*f + 189. Let j(g) = -69*g + 14 - s*g + 131*g. What is j(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49935 - -50085. What is the smallest common multiple of t and 2 + 1 + 9*8?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffafadkkaakaafa. Give prob of sequence ka.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/((-68)\/56) + (3 - -4). Let o be j - (2 - 2 - 28\/4). Factor 3\/4*p**2 + o - 1\/4*p**3 - 1\/2*p.\nAnswer: -p*(p - 2)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/12)\/(3\/6). Let h(m) = -5*m**2 - m - 1. Give h(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 64. Let t = v + -2. Suppose -u - t = -4*u. What is the remainder when 48 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2506\/(-456))\/7 - 345\/(-460).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 219*b + 45367. What is x(-212)?\nAnswer: -1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*y + 5 = 3*q, 4*q = -3*y + 55. Suppose 0*z = -5*z + q, 226 = 4*o + z. Let x be ((-6)\/(-4))\/(-1)*o\/(-42). Let f(l) = 3*l**2 + 2*l - 2. Give f(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, m: 2, p: 9}. What is prob of picking 1 m and 1 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4)*120\/45. Factor 0*w + j - 4\/3*w**2 + 0*w**3 + 2\/3*w**4.\nAnswer: 2*(w - 1)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 2259 + 5469. Calculate the remainder when 2909 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115339 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 44*p**2 - 1 - p**4 - 41*p**2 + (-2 + 2*p**4 + 2)*(10 - 12 + 7) + 2*p**4 + p**4 + p**4.\nAnswer: 13*p**4 + 3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*y + 2*y. Solve -7 - 3 = -y*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7706 is divided by 3848.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3557 or 3789?\nAnswer: 3789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 39983077\nAnswer: -5\/39983077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -10100101010011000000010?\nAnswer: -10100101010010111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/168 and 28\/1479.\nAnswer: 82824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/2120 (b) -0.5 (c) 5 (d) 4 (e) -7\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 3)\/(24\/6)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/5056 or 1?\nAnswer: 7\/5056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 313282, 313275, 313256, 313219, 313158?\n\"Answer: -s**3 + 313283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 + 32*b - 4 - 4096*b**4 + 3 + 5 - 384*b**2 + 2048*b**3.\nAnswer: -(8*b - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*q + 25 = 0, -13598*t + 13600*t = 4*q + 38 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2131.6 - 0.2.\nAnswer: 2131.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -54, -31, -10, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 6. Let q be 4 + 5 - (-4 - -2). Suppose -q = 2*x - 25. Does 8 divide i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 0*w + w - 3, 4*w + 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 + 6*t**2 + 8*t + 24. Is i(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 - 93. Is (-13)\/(i\/(-1844)) - (-4)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/((-3)\/(-6))*0. Solve k = 2*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.256 in -1\/6, -49, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -413*i**3 - 8*i**3 - 244*i**3 - 401*i wrt i.\nAnswer: -3990*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2027, 3933, 5839?\nAnswer: 7745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**3\/5 + 3117*y**2\/5 - 80808*y - 40560.\nAnswer: -3*(y - 260)**2*(2*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4135*m. Let y(j) = -124*j**2 + 32*j**2 + 30*j**2 + 34*j**2 + 30*j**2. Calculate y(z(g)).\nAnswer: 34196450*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1089)\/(-22)*-8*3\/(-108).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 2*k**2 - 6*k - 9. Let c be -3 - 1*-1*38. Let d = 32 - c. Let v be j(d). Solve v = -4*l + 3*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.441761 - 24.41. Let y = -4.167419 - g. Let p = 4.2 + y. Round p to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45806, 183144, 412040, 732494, 1144506, 1648076, 2243204?\nAnswer: 2929890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 2*w**4 + w - 3 + w**4 + 3 + (-3*w + 2*w**3 + 3*w)*(w - 3*w + 3*w) - 2*w**3 + 2*w**3 + w**4 - 5*w**4 + w**4 + 3 + w**4.\nAnswer: -w**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 3:14 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*l**4 - 147*l + 2.\nAnswer: -1572*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 9e5?\nAnswer: 9dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -34. Solve -2*q = q + m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18231900 to the nearest one hundred thousand.\nAnswer: 18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 + 6*q - 32. Determine g(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 30*j**2 + 28*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122\/101 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((15\/6)\/5)\/2. Let s(o) = -o**2 - 5*o - 6. Let v be s(-6). Let n be 1\/(-2) - 14\/v. Is w != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 + 5*h. Suppose 12 = 6*a - 12. Let b(g) = 2*g**2 + 2*g. Determine a*y(v) - 9*b(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 5 = -12*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:37 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 8:41 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 117, 115, 113, 111, 109?\n\"Answer: -2*o + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28662.426us?\nAnswer: 0.0004777071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.83 - 39.83. Which is the nearest to -1\/2? (a) -3 (b) 81 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -1.6, 7772, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 743*w**5 - 594*w**2 wrt w?\nAnswer: 44580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.6 + -39.6. Let p = -16 - -17.94. Let z = p + 0.06. What is the fourth smallest value in -4, z, w, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 3)*(3*g + 2*g - 3*g) + 61*g - 186*g + 87*g)*(0*g - 3*g + g) in the form y*g**2 + b*g + m and give y.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:56 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 2 (b) 2\/29 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3151369047.\nAnswer: 3, 73, 757, 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321501 (base 6) to base 2.\nAnswer: -110011011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6*y**3 - 3*y**3 - 9*y - y**3 to b + i*y**2 + a*y + v*y**3 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**11*r*r**(-9\/4))\/(r**(2\/7))**(19\/5))**(-25) assuming r is positive.\nAnswer: r**(-7465\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 5*s**2 + 7*s + 5. Suppose -15 - 21 = -6*l. Let w be m(l). Let g = w - 444. Round g to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*s - 0. Let h be 0 + s*(-4)\/3. Suppose 9*i - h*i + r - 19 = 0, 2*r - 2 = -i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {p: 1, m: 3, y: 4, g: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 24 - 37 = -3*u, 4*u + 41 = 3*c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4978461\/218 or 22836?\nAnswer: 22836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8810970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -70. Suppose -3*k + y = 2*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9505*f - 3919 = 9246*f - 23862 for f.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*g + 2010 = 362*g. Solve 0 = g*n - 4*k + 28, 20 = 6*n - 8*n + 3*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868167.5l in millilitres?\nAnswer: 868167500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 11 + 33 - (3 + 4 + -52 + -6).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2729 = -8*h + 551. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.09, -17, -3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4532759*o**3 - 333*o**2 + 50*o + 2 wrt o.\nAnswer: 27196554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 2b?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -5*r**3\/6 - 15*r**2\/2 - r - 2. Let c(x) be the first derivative of b(x). Let a(h) = h**2 - 6. Give 5*a(l) - 6*c(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-26) - (-7 + 252\/52).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -201*a - 603. Determine d(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2*c + 27 + 2, 2*p + 16 = -3*c. Let s(f) be the second derivative of -f**4\/12 - 7*f**3\/6 - 5*f**2\/2 + 862*f. Give s(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/4, 1\/6, 2\/3, 2, 527702, 1\/4, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r + 16. Let z = 0 - r. Solve -z*i - 10 = -5*q, -3*i = -q - 0*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4258*g**2 - 104*g - 333. Is n(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113123022233320 - -1?\nAnswer: 113123022233321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5 - 31504*x**4 - 31512*x**3 + 31504*x**2 + 31508*x = 0.\nAnswer: -1, 0, 1, 7877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103579 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 400 = 4*d, 3*w - 21*d + 560 = -22*d. Which is greater: -153 or w?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - 1) + 1610 + -1604\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -15*x + 5. Let q be g(5). Let l = 391\/6 + q. Is l less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 799 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 10*d**2 - 5*d - 5. Let z be t(-10). Let r = -30 + z. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10281990, -10281992, -10281994, -10281996, -10281998, -10282000?\nAnswer: -10282002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 96 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.031, -2\/7, -45, -2, 4215.\nAnswer: -45, -2, -2\/7, 0.031, 4215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734061979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 14, 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 30706?\nAnswer: 30706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -873 bigger than -873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -26*z + 69. Let u(i) = -102*i + 275. Let b(g) = -9*k(g) + 2*u(g). What are the prime factors of b(15)?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r - 37*r + 11*r. Let s(p) be the first derivative of p**5\/20 - 70*p**2 - 219. Let k(a) be the second derivative of s(a). What is k(t(q))?\nAnswer: 3888*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18473 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3\/5))**(-10\/13)*l*l**(2\/3)*l**(1\/15)*l assuming l is positive.\nAnswer: l**(293\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 18*n = -6. Let p(w) = -w**2 + w. Let q(l) = 3*l**3 - 13*l**2 + 12*l - 2. Let m(i) = n*q(i) + 6*p(i). Find b such that m(b) = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 73*c**2 + 168*c - 53. Suppose 3*v = v + 5*r + 32, -4*v - 3*r + 90 = 0. Calculate the remainder when v is divided by m(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198\/5 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 5*w. Let q be ((-3 - w) + 1)*-4. Let h(t) be the third derivative of t**4\/12 - 2*t**3 + 2*t**2. Calculate h(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-43181)\/(-20) - 92\/1840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7958, -7419, -6884, -6353, -5826, -5303?\n\"Answer: -2*l**2 + 545*l - 8501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from vfvvfvvv.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1430.04 - 1433.30554. Round n to two dps.\nAnswer: -3.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 57966052?\nAnswer: 57966053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 11:15 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576629?\nAnswer: 191, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 483 divide 52285716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12593 and 1519?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14662 - -14678. Which is the smallest value? (a) -0.5 (b) g (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1. Let x(r) = r**5 - 8*r**2 + 6. Suppose -6*l - l = -7. Let j(q) = l*x(q) + 6*f(q). What is the third derivative of j(t) wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 - 22*m + 48. Give c(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1 + 9 = 0. Suppose -c*k - 2 = -12. Calculate the least common multiple of k and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3\/5, 4\/5, -6\/23, -108?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*((-3)\/4)\/(((-7047)\/116)\/27). Let i be 10\/(-35) - (-60)\/14. Let h be 1 - (136\/35)\/i. Which is bigger: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*2*-6*2)\/(sqrt(12)\/(sqrt(192)*1)).\nAnswer: -192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 379967389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 11:26 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2948*z + 12376. Calculate q(-4).\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10069 - 10038. Calculate the highest common divisor of 992 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2598 and 3607323?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 249 = 13*p - 20, -16*p = 507*r - 506*r - 337 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0*s**2 - 1\/3*s**3 + 2*s + 0. Let v(w) = -6*w. Let j(n) = n. Let t(k) = -3*j(k) - v(k). Calculate t(u(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1686126 divided by 5.\nAnswer: 1686126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3773933, -3773958, -3773983, -3774008, -3774033, -3774058?\nAnswer: -3774083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*b**2 + 3*b - 10*b + b + 55*b**2.\nAnswer: 6*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 1\/4 (c) -54 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - (-34 + 74 - 12 - 64).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 10 + 4. Let j(i) = i + 13. Let n be j(y). Let g be 121\/((0 - 1) + 2). Calculate the greatest common factor of g and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188\/36 + (48\/42 - (-300)\/(-42)).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74635 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -7 - 1. Let p be -2*(-1)\/i*5. Suppose 0 = -3*o + 5*c - 3*c + 12, -p*c - 5 = 5*o. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.125693 hours to microseconds.\nAnswer: 29252494800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 186, -4, 4 in decreasing order.\nAnswer: 186, 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 475737 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1949*b**2*s**2 - 2*b**2*s - 2*b*s + 25*b + 2*s**2 wrt b?\nAnswer: -3898*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4580425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 320 - -5351. Is w at least as big as 5672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/30)\/c*c)\/c**(-6\/13)*(((c**1*c*c*c)\/c)\/c*c)**(-2\/13) assuming c is positive.\nAnswer: c**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((((2*sqrt(112))\/sqrt(4) + sqrt(28))\/(sqrt(24)\/(sqrt(6)*1 + sqrt(6))))**2 - (sqrt(672)\/(sqrt(36)\/sqrt(3)))\/(sqrt(96)\/(sqrt(12) - sqrt(48)))).\nAnswer: sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2, 3, 37?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208565 is divided by 208471.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.12898 centimeters to meters.\nAnswer: 0.2212898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1200)\/(-45)*(-3585 - 0). Round u to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwwmwwmwbmlmmmimm. What is prob of picking 1 b and 1 w?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2 - 35*c + 5. Let a be v(-7). Let g be (-90)\/(18\/4 - a). Let l = g - 25. List the prime factors of l.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681692113 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6053238 to the nearest one hundred thousand.\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -325804 and 0.15.\nAnswer: -325803.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -117, -180, -247?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/((-28)\/9576*24*3\/(-10))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -24*h**2 - 3*h + 13. Let q(m) = 5*m + 2*m + 48*m**2 - 2*m - 26. Let u(g) = -5*c(g) - 3*q(g). Differentiate u(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 4*o + 20. Suppose 44 = n - i - o, 5*i + 92 = 2*n. Does 34 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79 minus -144525856.58?\nAnswer: 144525857.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 215*w + 658. Is 3 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**5 - v - 1. Let i(x) = 7*x**5 - 4*x**4 - x**3 + 4*x**2 - 6*x - 6. Let t(u) = -5*i(u) + 30*l(u). Find y, given that t(y) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 - ((11 - -30) + 18)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 1 - 5 - q + (-1 - 2 + 0)*(-4*q + 3*q - 11*q).\nAnswer: 37*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 197*l - 23*l - 1 + 1 + (-2 + 5 - 1)*(-l - 4*l + 3*l) + 59 - 12*l - 59 to p*l + m and give p.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3339*b**3 - 3170*b wrt b.\nAnswer: -20034*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2*y**2 + y - 4*y**3 - 2*y - 4 - 4 to the form n*y + u + i*y**3 + c*y**2 and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (1228 - -32)\/(-35) - 27?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.272 (b) -2 (c) 5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 139?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -1\/2*g**4 + 2\/3*g**3 + 0 - 2*g + 1\/2*g**2 + 1\/20*g**5. What is l(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**3 + 7*w**2 + 66*w - 14. What is the units digit of f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2 - 19*l + 1. Let i(v) = 3*v**2 + 13*v - 1. Let p(s) = 5*f(s) + 7*i(s). Let o be p(-2). Suppose o*g = -3*g + 1144. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-24) + -2*(-3)\/12. Let c(b) = b**2 + b. Let m(h) = 2*h**2 + 2*h - 1. Calculate d*c(x) - 2*m(x).\nAnswer: -2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*o + 43, 111*o - 10 = 106*o. What is the remainder when 233 is divided by k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2. Let s(o) = -o + 21. Let g(z) = 304*z + 1596. Let a(y) = g(y) - 76*s(y). Give d(a(k)).\nAnswer: 144400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 3*n = 0, 5*t = -3*n. Solve 3*s = -4*c + 6 + 4, 3*s + 5*c - 14 = t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3466 is divided by 266.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -150, -1232, -3998, -9204, -17606, -29960?\n\"Answer: -126*b**3 - 86*b**2 + 58*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -223*m**3*v**5 - m**3*v**2 - 2*m**3*v + 2*m*v**5 - 8*m*v**2 wrt v?\nAnswer: -13380*m**3*v**2 + 120*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 78*d - 76*d + 18*c, 5*d + 3*c = -74 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 9 = -c + 4*u, 8 = -2*c - 3*u. Let i(w) = -40*w**3 + w**2 + w. Let s be i(c). Suppose -2*l + s = 2*h + 3*h, 3*h - 81 = -5*l. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -1085\/44?\nAnswer: -1085\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22537943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 140.1. Let d = -5 + 3. Which is the closest to 1? (a) -4\/5 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 12) + 408 + -384?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39735 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3394*j**2*u - 38152*j**2 - 6*j*u**4 wrt u.\nAnswer: -3394*j**2 - 24*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 + 0)*(3*o + 2*o - 3*o) + (-2 + 0 + 1)*(-o + 1 - 1) - o + 0*o - o + 5*o - o - 2*o in the form y*o + s and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 19*q**2 + 123*q + 575. Calculate n(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.2 + -8.073. Let f = r + 1.873. Which is the third biggest value? (a) f (b) 0.1 (c) 6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1092361621?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**2*t - 6*r**2*z**2 + 44*r + 22*t*z**2 + 2*t*z - 2 wrt r?\nAnswer: 4*r*t - 12*r*z**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 93, 664 in increasing order.\nAnswer: -3, 93, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from rnrrrnrrnrr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385594*j**2 + 8854*j + 9?\nAnswer: -771188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100000010110 + 11?\nAnswer: -1010100000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**3 - 11*p**2 + 29*p - 55. Calculate z(3).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-25))\/(1\/((-20)\/(-12))). Let i(o) = o**3 - 3*o**2 + 4*o - 2. Let t be i(2). Suppose 0 = 2*a + t - 0. Sort g, 20, a in ascending order.\nAnswer: a, g, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-5)\/(h**(-6)*h))\/(h**(2\/3)\/((h*h**6*h)\/h)))**(-24))**(1\/15) assuming h is positive.\nAnswer: h**(-152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a - 39d7?\nAnswer: -39bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11230040 (base 6) to base 8.\nAnswer: 1243710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -216\/11, -4\/15?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfn when three letters picked without replacement from {n: 11, f: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1225\/10)\/(-49)*(-16)\/780*-6?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 2 = 2*i - 3*d, -3*i + 26 = -4*d. Let f(z) = z. Let a(n) = 7*n - 9. Let h be a(2). Let s be f(h). Solve 0 = -3*g + s - i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237297763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220110 + -10011?\nAnswer: -1000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 38753605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzkz when four letters picked without replacement from rnzkzkzvzz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -444 times 0.3?\nAnswer: -133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5891\/(-86) - -60 - (2 - -10).\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7852\/3 + 2618. Let y = -10.1 + 10. What is the second biggest value in 0.03, y, p?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -143?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159 - 224 + 261 = -392*d - 372 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -989 * 0.06356.\nAnswer: -62.86084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5952252 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*m = -3*b + 20, -3*b = -2*m - 15. Suppose 0*y - 4*y - 330 = -3*z, -3*z + 327 = -b*y. What are the prime factors of z?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808\/5 bigger than 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/18)\/(((10\/16)\/5)\/(-1))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-4 - (0 - 4)) - (7 - (38 - 24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 132 = 5*o. Let k(s) = -s**2 + 29*s - 1. Is 22 a factor of k(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-6)\/(-10031699)) + -1. Let n = h - -1677093. Let v = -5162 + n. Calculate the common denominator of -9 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**5\/3 - 93216*w**4 - 4886289272*w**3\/3 + 48886106176*w**2\/3 - 27704075308*w + 39112688672\/3 = 0.\nAnswer: -34961, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13881 and -1275528053.\nAnswer: -1275514172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 - 5*u + 8. Let r(h) = -6*h**2 + 4*h - 8. Let k(z) = z + 3. Let f be k(-7). Let a(w) = f*c(w) - 3*r(w). Suppose a(q) = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*r = -17, 0 = 3*w + 3*r + 2*r + 22 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10024 (base 8) to base 14\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by (12\/1)\/1 - (9 + -12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a century?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.0026 - 15.13. Let n = y + 127.9274. Let g = n - 76.5. What is g rounded to 0 decimal places?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3045 - 1604. Suppose -4481 = -20*t - r. Suppose x + 76 = 5*x. Calculate the highest common factor of t and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10.6. Let p = -0.91 + h. Which is the closest to p? (a) -4 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -2\/9 (c) -1\/73 (d) 71 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = -16. Sort -5, u, 3 in increasing order.\nAnswer: -5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*x**2 + x**2 + x**2)*(x**2 - x**2 - 2 + 2*x**3).\nAnswer: -28*x**5 + 28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.03 or 1055?\nAnswer: 1055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**2. Let d(r) = -79*r**2. Determine k(d(l)).\nAnswer: -37446*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/15)\/((-8584)\/5365).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + a - 291. Let t = -6 - -6. Let k be x(t). Let d = -170 - k. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -367.16 - -366.66. Let t(v) = -v**2 - 3*v - 1. Let f be t(-2). Which is the second smallest value? (a) -0.01 (b) f (c) w (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, 4, 125, -14 in decreasing order.\nAnswer: 125, 4, 3, -1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w - 18. Let s(p) = 18*p + 3. Let t(u) = -27*u - 4. Let o(m) = 7*s(m) + 5*t(m). Calculate the remainder when w is divided by o(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226168969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 605 or 600?\nAnswer: 600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 + 1634)*(4 - 6 - -9).\nAnswer: 7, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/7)\/t**(-7))\/(t**0\/t)**(-2\/13) assuming t is positive.\nAnswer: t**(571\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**4\/7 + 1419*z**3\/7 - 8439*z**2\/7 + 15429*z\/7 - 8406\/7 = 0.\nAnswer: 1, 2, 3, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 144.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*q**2 - 78*q**2 - 81*q**2 + 127*q**2 - 2 + 178*q**2 as r + m*q**2 + c*q and give m.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 92*c**6 - 9*c**3 + c**2 - 9*c + 31. Let b(n) = -23*n**6 + 2*n**3 + 2*n - 8. Let u(t) = 9*b(t) + 2*o(t). Find the third derivative of u(x) wrt x.\nAnswer: -2760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**2 - 502680*k - 10055200 = 0.\nAnswer: -20, 125690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 51 = 2*o - 5*o, -3*m = 2*o - 50. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -0. Let g be 0*(-3 + 2)*i. Solve -4\/5*h**2 + g + 2\/5*h + 2\/5*h**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1350 and 16350.\nAnswer: 147150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(3*1\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/49996348?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -260 + 260.562. Round m to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 - 51. Let z = -4 - h. Let j = 63 + z. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = -c - 119 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4 - 2 = 3*z, -9 = -2*s + z. Let i = 5 + s. Suppose 0 = 2*f + 2*j - 10, 5*j = 5*f - i - 13. Solve -f*t + 31 = 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/60 - v**4\/24 + 5*v**3\/6 + 531*v**2. Calculate l(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32632, 32487, 32106, 31375, 30180, 28407, 25942, 22671?\nAnswer: 18480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1342 and 55\/6.\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(0*k - 2*k + k) + 24*k - 8*k + 2*k + (0 + 2 - 4)*(2*k + 1 - 1).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -772e - -11?\nAnswer: -771d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10813*i - 10803*i = 390. What is the remainder when i is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4872 and 672?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 25*d**2 + 13*d + 36. Determine h(-13).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 18*l**2 - 6*l - 20. List the prime factors of g(-18).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2. Let w(g) = -6*g**2 - 4*g - 4. Let q(p) = -5*p**2 - 3*p - 3. Let n(a) = -4*q(a) + 3*w(a). Give r(n(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57\/(-19) + -4 + 1 + 1. Let k = 0.8 + 0.2. What is the closest to 1 in y, -0.02, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 30. Suppose -b*w = -4*w. Solve -5*f + 5*r - 11 - 4 = w, -f + 5*r - 19 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7327934?\nAnswer: 2, 173, 21179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -32*i**2. Let r(b) = -2*b + 440. What is r(z(j))?\nAnswer: 64*j**2 + 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36139\/11 - -3282. Suppose -13 - 22 = -7*a. Calculate the common denominator of a and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85440303?\nAnswer: 3, 13, 227, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4, -r = -5*r - 5*q - 16. Let j = -361 - -356. Let f be -5*((-576)\/116 - j). Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 23 - 12. Let i be 3\/((-105)\/10) - (-9)\/7. Let f be i\/2 + (-90)\/(-20) + -3. Put f, k, 0 in increasing order.\nAnswer: k, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65414 - -1?\nAnswer: 65415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.69337 decades in centuries?\nAnswer: 9.069337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.3 (c) -24\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 - 8*i - 3. Let p be b(0). Let v be (-9)\/((-72)\/(-16)) - (p - 3). Let a = 19.09 + -19. What is the biggest value in v, a, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 3*l + 5*l**2. Let b(r) = -5*r**2 - 9. Let z(y) = y**2 + 2. Let g(o) = -4*b(o) - 18*z(o). Calculate g(d(p)).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172414733?\nAnswer: 131, 1316143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r - 2. Let p(l) = -2983*l + 1502*l + 6 + 4 + 1440*l. Give -2*p(t) - 11*q(t).\nAnswer: -6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266\/23 or -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13683 is divided by (4 - -16) + 80 + 19.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740497691 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -n + 12, 4*t - 28 = 8*t - 4*n. Let f(m) = -6*m. Let c(r) = -3 + r + 3. Let a(p) = t*c(p) - f(p). Let u(g) = -6*g. Calculate a(u(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916325 is divided by 2023?\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 15461*v + 11409468.\nAnswer: (v - 14684)*(v - 777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-1464\nAnswer: -58.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, 4.\nAnswer: -18, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*(10*t - t - 5*t)*(1 + 4 - 3)*(4*t - 4*t - 3*t).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/2385 and 12\/265.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -50520090 divided by 6\nAnswer: -8420015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/11)*c*(c\/c**(-2\/37))\/c*c**(-1\/6)\/c**(-15) assuming c is positive.\nAnswer: c**(39463\/2442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4 + 2. Let f(m) be the third derivative of -7*m**4\/24 - m**3\/3 + 2*m**2. Calculate the remainder when 35 is divided by f(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 71*l**3 - l**2 + 4. Let b(p) = 72*p**3 - p**2 + 5. Determine 4*b(f) - 5*v(f).\nAnswer: -67*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 5*d**2 + d - 2. Let p be n(-3). Let g = 5 - p. What is the remainder when g is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-41)\/132 + 42\/693)\/(2\/(-16)). Let f(c) = 4*c**3 - 2. Determine f(s).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - (2 - 84\/35)*5. Let a(g) = -g - 20. Let h be a(-20). Solve -2*q + o*q + 9 = h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 17. Give q(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459534?\nAnswer: 2, 3, 19, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 4*d**2 - 3*d. Let n(f) = -f**2 + 9*f - 9. Let k be n(7). Let h be t(k). What is the units digit of (-5 - 0)*(-12)\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**2 - 18*k - 2046. Calculate i(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*c - 3, 0 = -3*c + y + 3. Let k = c + 1. Let q(a) = -13*a**2. Determine q(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4)*m)\/(m**(2\/5)\/m))\/(m**1*m)**(-2\/91)*m*m**(5\/4)*m\/(((m\/m**5)\/m)\/m)*m**4\/(((m**(-5)*m)\/m)\/m) assuming m is positive.\nAnswer: m**(32567\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 9*i - 3*i)*(3 - 7 + 3)*(3 - 3 + i**2).\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*f = 43, 5*f + 0*f - 25 = -5*j. Suppose s - 9 = -q, j*s - 25 = 2*s - q. Let o be (-4)\/(-22) + 27\/33. Solve s*y - 11 = o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/300 + j**4\/40 - j**3\/15 + 6*j**2. Factor u(f).\nAnswer: -(f - 2)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 109601*(-1 + 3). Let d = a - -380799. What is d rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c - 12*c + 2*c**2 - 16*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45487, -45475, -45455, -45427, -45391?\n\"Answer: 4*g**2 - 45491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106321471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 962 + -970.17. Round p to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 - 71*o**2 - 36*o - 16. Let s be i(36). Let h be 1*6 + 11 + s + 5. Solve -10*y - h = -8*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24352\/3 - -8186. Let y = w - 68. Let 0 - y*r + 0*r**2 + 2\/3*r**3 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, 11, 26, 43, 62?\n\"Answer: l**2 + 10*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 14 = 3*l - 22, -2*l + 78 = -39*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 10*p**2 - 7*p - 8. Let h = -13 + 22. Let u be g(h). Let q(n) = 3*n**2 - 2*n + 1. Let f be q(1). Solve 2*k = f - u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 54. Which is the nearest to m? (a) 1\/5 (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.01 - -0.01. Let r be ((-874)\/62 - -9) + 15\/3. Sort g, -0.4, r, 0.5 in ascending order.\nAnswer: g, -0.4, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 6. Let h be (-4)\/d - (-16)\/3. Solve 0 = 3*o - h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y - 126 = -38*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 7. Let b be f(-10). Let u = -17 - -35\/2. Suppose 5*c - 11 = 9. What is the closest to u in b, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*4\/64*4. Suppose x + r = 5, 3*x - 2*x + p = 3*r. Solve u + x = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1352 + 1400. Let h be (-10)\/(-30) + (107\/3 - 0). Calculate the greatest common factor of h and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*804334\nAnswer: 241300.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 85856*k. Let x(q) = -74*q + 2. What is x(p(u))?\nAnswer: -6353344*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9887759, 9887760, 9887761, 9887762?\n\"Answer: d + 9887758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 80?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27671.\nAnswer: 7, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -48*m. Let u(r) = -2*r**2 + 491. Calculate u(b(f)).\nAnswer: -4608*f**2 + 491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/3 - 554*t\/3 - 7364\/3 = 0.\nAnswer: -263, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/220478907 and -137\/3066?\nAnswer: 3086704698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -33. Let j(k) = -k**3 + 7*k**2 + 9*k - 4. Let l be j(u). What is the closest to l in -0.3, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -15*n - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*n**4*p**2*s**2 + 5*n**3*p**3 - n**2*p**3*s**2 - n**2*s**2 + 2*n*p**3*s - 2*p*s**2 wrt n?\nAnswer: 864*n*p**2*s**2 + 30*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13626098*q**3 + 12106236*q wrt q.\nAnswer: -81756588*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9*j**2 - 5*j - 11. Let h(l) = -5*l**2 + 3*l + 6. Let y = -2 - 2. Let w(r) = y*z(r) - 7*h(r). Suppose w(v) = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5010487 + 62?\nAnswer: 5010560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - n + 18 = 0. Let x(i) be the first derivative of -1\/9*i**3 - 3*i - 4 - i**n. Factor x(s).\nAnswer: -(s + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c**3 + c - 5. Let t(s) = 8*s**3 + s - 4. What is -7*t(r) + 6*x(r)?\nAnswer: -2*r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/63 - 8\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9 + 0*z**2 - 2*z**2 - 1 - 14*z - 5*z. What is the units digit of x(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1184 + 7801. What are the prime factors of t?\nAnswer: 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -590427, 4, -5?\nAnswer: -590427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1371358 (base 11) to base 5.\nAnswer: -1100441313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.222 + -0.102. Let v(b) = b**2 - 4. Let z be v(2). What is the biggest value in z, 1, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -104958 greater than -104960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11202, -12441, -14508, -17403, -21126, -25677?\nAnswer: -31056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 + 85. Suppose 0 = -x - 0 - 2. Let u = -2 - x. Solve -s*p - 2*p + 5 = u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 + 3480\/2400. Suppose -g*t + 0 + 2\/5*t**3 - 4\/5*t**2 = 0. Calculate t.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 5*z**2 - 4*z + 1. Determine d(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14628 + 14640. Let b = 8 - 4. Let n be (24*1)\/(b\/14). What is the highest common divisor of a and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Suppose j + 36 = y - 2*j, -x*j + 123 = 5*y. Calculate the greatest common factor of y and 270.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 19*a + 27. What is i(17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44846800.5999974 + -44846805. Let m = -7.1 + 2.7. Let h = m - w. Round h to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 20*x**2 - 5. Let u(r) = -20*r**2 + 4. Let h(z) = -3*o(z) - 4*u(z). Suppose 2*q - 5*g = -27, 4*q - 2*g + g = -9. What are the prime factors of h(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11963 + -11963. Is -4641 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201 (base 8) in base 10?\nAnswer: -641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9631.436396 to the nearest ten.\nAnswer: -9630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 176305.\nAnswer: 3\/176305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (8 - 0) - -20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-124)*(-1364)\/176*10\/65?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738029 is divided by 3189.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000062292722 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 100*y + 61. Let s be q(5). Calculate the greatest common divisor of 51 and s.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*s - 3*s - 46, 0 = -2*d - 3*s + 90. What is the least common multiple of d and 147?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i + 164. What is the units digit of y(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -15*j + 4. Let q(d) = -44*d + 11. What is -11*n(v) + 4*q(v)?\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 3*w**2 + 13)*(-4*w - 3*w + 4*w) to the form d*w + h*w**3 + z + x*w**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*t - 1056 = 0, -3*t - 1273 = -5*a + 7. Calculate the greatest common divisor of a and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1173297816 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41526 + 41546. What is the lowest common multiple of h and 376?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6*u. Let t = -13 + 19. Let x = t - 1. Solve u = -j - 4*j + x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v = 5*u - 40*v, 0 = 4*u + 3*v. Let n be 4*(-3)\/6*-1. Solve -3*j + j - n = u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 2*y + 1. Let b be t(2). Suppose l - i = 13, 0 = -l + b*i - 3. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*(-9)\/792 - (-42)\/22. Which is smaller: a or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 8*r**2 + 8*r + 9. Give i(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2799691 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*n - 177, o = 4*o + 5*n - 156. Suppose 38487 = o*v - 54*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.997, -41, -4\/5, -18 in descending order.\nAnswer: -4\/5, -0.997, -18, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00039391433 to 7 dps.\nAnswer: -0.0003939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 9*d**2 + 4*d + 57. Let p be i(-9). Suppose -11*o = -p*o + 740. List the prime factors of o.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 6*s**2 - 4*s - 21. Let q be u(-6). Sort 2\/27, 1, q.\nAnswer: 2\/27, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/33*(6\/(-14) - 0). Which is the closest to -1? (a) -2\/9 (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((8 - (-16)\/(-4)) + -215)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 673585247 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12758, 12791, 12848, 12929?\n\"Answer: 12*m**2 - 3*m + 12749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -4 - (6 - 0) - 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4680*l + 4712*l = 768 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 611*g**2 - 143*g + 143. Let h = 985 + -989. Let p(b) = -17*b**2 + 4*b - 4. Determine h*d(f) - 143*p(f).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 17 + 16 = 0. Let k(g) = 16*g - 8. Let s be k(m). Calculate the highest common factor of 3 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(252) + (1*sqrt(252) + -2)**2 - -6*(-4 + -1 + sqrt(252))**2) + 4 + 0 + 2.\nAnswer: -378*sqrt(7) + 1919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9605 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) 2\/5 (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/12)\/(-3))\/(64\/512)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -12. Let p = 123 - 103. Let y be (p + 0)*(-3)\/(-3). Solve 3*w + 2*w + 3*j = y, -9 = -s*w - j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a + 17. Suppose -13*l = l - 84. Let s be d(l). Is s <= -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 + -3b0?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10 - (-4 - 128\/(-10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5 - 7191*j**4 + 85731*j**3 + 307575*j**2 + 214650*j = 0 for j.\nAnswer: -2, -1, 0, 15, 2385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**6\/10 + 5*w**4\/4 - 6*w**2 - w - 67. Let d(l) = 0. What is l?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3398.364 microseconds?\nAnswer: 0.00000094399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1216 and 4.65.\nAnswer: -5654.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6683\/1752 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30932, -61929, -93048, -124349, -155892, -187737, -219944?\n\"Answer: -10*x**3 - x**2 - 30924*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 336 + -336. Factor 2\/5*v**3 + w*v + 0 - 4\/5*v**2.\nAnswer: 2*v**2*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16356, -15778, -14814, -13464, -11728, -9606?\nAnswer: -7098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1007 times -0.068\nAnswer: -68.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*i - 229 + 14. Solve 0 = -7*v - 13*v + i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7246, 28976, 65192, 115894?\n\"Answer: 7243*z**2 + z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**7\/210 + 23*n**5\/20 - 167*n**4\/24 + 209*n**2. What is the second derivative of r(k) wrt k?\nAnswer: 12*k**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -22. Suppose -x + 5 = 0, s + 3*x - 23 = -c. Suppose 4*t - 23 = -3*l, s*l = 2*t + 2 - 10. Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 31. Let f be b\/3 + 0 + -3. Let u(g) = -3*g**2 - 2*g - 2*g**2 + f*g**2 - 6. Give u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 + 410*w - 415 = 0. What is w?\nAnswer: -83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 1, -4*b - 5*v + 1061 + 618 = 0. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/19 (b) -16 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -737 (c) 1 (d) -2 (e) 3 (f) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueu when three letters picked without replacement from kuue.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s - 60. Suppose 3*w - 16 = -w. What is the highest common factor of w and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2460)\/(-1845)*((-34)\/(-10))\/((-4)\/(-10))\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 16\/51, -0.084, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((900\/54)\/(-25))\/(2\/21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.60772825 to four dps.\nAnswer: -0.6077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174.455 days in nanoseconds?\nAnswer: 101472912000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276648476.\nAnswer: 2, 3, 106387373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w - 5. Let x be f(2). Suppose 4*b = x*b. Solve b = -5*c - 2*m - 9, -4*c + m + 0 = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-2) + (-24)\/(-10). Let h = 1749.62 - 1749.8. Which is the nearest to 1? (a) d (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001426 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 63117.17 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2148 = 223*r - 402*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 21*n**2 - 5*n + 19. Let g be r(-21). Let j = g - 84. What is the greatest common divisor of j and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 109 and 0.05.\nAnswer: 5.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34365, -85054, -135743, -186432?\n\"Answer: -50689*q + 16324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3177, 3172, 3163, 3150?\nAnswer: 3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-25)*5)\/(3\/(-60))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-20) - (-264)\/5. Suppose 1803 - s = v. Suppose -4*t + 3*t = -v. What is t rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:47 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 8 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**5\/120 - m**4\/6 - 3*m**3 + 1. Let z(f) be the third derivative of l(f). Give z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6639 and 320.\nAnswer: -2124480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 4*t + 10. Let v be n(4). List the prime factors of v\/((-28)\/(-596)*(-6)\/(-21)).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3324\/(-15))\/(8\/(-20)). Is (s\/6)\/1*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -265*p - 169*p - 70*p**2 + 48*p - 169*p - 100*p**2 + 5*p**3.\nAnswer: 5*p*(p - 37)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1178 divided by 40\nAnswer: 589\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15306.8 + -15324. Which is the fourth biggest value? (a) 2 (b) v (c) 0.1 (d) 1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16004500 divided by 10\nAnswer: 1600450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, p: 4}. What is prob of picking 3 x and 1 p?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/7 + 108*v\/7 - 416\/7.\nAnswer: -(v - 104)*(v - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -0.01214.\nAnswer: -0.48786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 8 + (18 - 20) + (4 - 8).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 704112317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*x*x**(-14)*x)\/((x\/((x*x*x\/(x*x\/(x\/(x*x**(-4\/11)*x))*x*x*x)*x)\/x))\/x*x**(-2\/7)) assuming x is positive.\nAnswer: x**(-6553\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 7*x - 5, -38*q + x = -40*q + 13 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g. Let b(y) = 7. Suppose -2*c + 6 = 0, 0 = 5*w + 5*c - 88 - 17. Let r(v) = -v + 32. Let j(l) = w*b(l) - 4*r(l). Calculate q(j(i)).\nAnswer: 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -1\/6*w**3 - 14*w + 1\/12*w**4 + 0 - 1\/2*w**2. Let q be o(4). Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4774 and 341.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -49. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12052, -20875, -29698, -38521?\n\"Answer: -8823*m - 3229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -3, -0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 9*z**2 - 10*z - 6. Let b be a(10). Let v = b + 22. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 11*k**2 + 21*k + 6. What are the prime factors of z(10)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**9\/50400 - s**8\/7200 + s**7\/6300 + 3*s**5\/20 - s**2. Let y(t) be the third derivative of l(t). Factor y(d).\nAnswer: 2*d*(d - 2)*(3*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = h + 25, -6*j + j + 25 = -3*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 23224986?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 231032?\nAnswer: 231035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 4 - 5*l - 6*l + 4*l - l**2. Let x be j(7). Let a be (2 - (-2 + x))*1. Solve a*y - 3 = v - 2*y, 9 = -3*v - 3*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*k*o**2*y - 2*k*o**2 + 2*k*o*y + 8*k*o - 3*o**3*y - 9*y wrt o.\nAnswer: 24*k*y - 4*k - 18*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 67. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1367.6787 months?\nAnswer: 113.973225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5211 - 5?\nAnswer: -5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 7*n**2 - n - 5. Let p be a(-7). Find the second derivative of -5*r - 4*r**3 - 6*r**3 + p*r**3 wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p - 13*p - 15*p + 3 + 14*p to s + c*p and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -72952.51 * 0.1\nAnswer: -7295.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13909810613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*f - 16*f - 192. Calculate the smallest common multiple of 36 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -5 (c) 42 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213768654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from nnapnpspnds.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/30)\/(1\/5). Let c be (z\/2)\/(2\/6). Find the third derivative of -66*n - n**c + 66*n - 5*n**3 + 14*n**2 wrt n.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-3) - 1) + (-24)\/(-10). Factor 0 + 0*w + r*w**3 - 2\/5*w**2 - 2\/5*w**5 + 2\/5*w**4.\nAnswer: -2*w**2*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 508*c + 240. Let y be o(7). Suppose -19*a = -8383 - y. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87\/20 + 23\/5. Which is the smallest value? (a) -2 (b) 2\/11 (c) t (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 + -0.63. Let f be (-4)\/(-10) + 2 + -1. Let o = -9\/5 + f. What is the smallest value in -3, o, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/26585119 and -62\/36252435.\nAnswer: 398776785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34905884 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -20880*f. Let l(j) = -3*j. Determine n(l(b)).\nAnswer: 62640*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/288 and -49\/8294.\nAnswer: 1194336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3429.8 (b) -7 (c) -4 (d) -3 (e) 1 (f) -5 (g) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8264 + 32840?\nAnswer: 42214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 101 = 2*y - 3*h, 5*y - 503 = -2*h. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from zpzzzzzpzz?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5*t - 1. Let w be a(7). What are the prime factors of ((-14)\/(-3))\/(w\/(-225))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*a = -129 - 198, 2*a = 4*t - 258. Let x = -26 + t. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 4*b**2 - 3*b + 16. Let s be o(4). Solve -3*h = -2*h + s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 0*i + 4*i + (-2*i + i - 2*i)*(1 - 2 + 2).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 12 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-70) - (-8)\/20)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x + 4*b, -11 - 1 = -4*x + 5*b. Let j(w) = 5*w**2 - 7*w + 2. Let a be j(-5). Suppose 5*s = -4*h + a - 53, x*s = -9. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/11 (b) -181 (c) 1\/13 (d) 1.9 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/157 (b) -1\/9 (c) 8 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 190 + 44 = 0. Let h = -70 - a. Suppose 5*d + 450 = h*d. Does 43 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 414755\/9994 + -2\/4997. Let g = -42 + q. Let k be 0 + (16\/(-34))\/(-4). Which is the third biggest value? (a) g (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 658\/351027 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/(174195\/57428) - 26.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 8. Let d be q(-9). Differentiate d + 4 - 4 + 12*g - 3 wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = j - 347398 - 21398, j - 1843996 = -5*w. What is w rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4 - 6*m**2 + 5*m + 14 - 11 + 2*m**3. Is r(4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (8 - 6) - 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 196530287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 - 4111*i**3\/4 + 8219*i**2\/4 - 4109*i\/4.\nAnswer: i*(i - 4109)*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (1 + -4 - -411). Find the common denominator of 3\/28*(-100)\/6 and j\/36 + -12 + 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45962 + -45938. Calculate the highest common factor of s and 53304.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4519513329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-14 - 1) + -15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 14*l - 31*l + 2*l - 3. Let v = 26 + -30. Let x(u) = -15*u - 4. Let d(a) = v*g(a) + 3*x(a). Let h(f) = -f. Determine d(h(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/20 + 11*o**3\/6 - 5*o**2. What is the derivative of y(w) wrt w?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44035220)\/(-105) - (-4)\/14) + (-13)\/39 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/9)\/((20\/(-6))\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b. Let t(d) = -9*d. What is t(j(z))?\nAnswer: -126*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128484 and 165636.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 55 + 8. Calculate the highest common factor of 28 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2. Let w(a) be the second derivative of -1\/12*a**4 + 0*a**2 - 48*a + 0 + 0*a**3. Give w(p(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -44520 - 35850377?\nAnswer: -35894897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 - 4)*(-3*b - b**2 + 5*b - 2*b**2).\nAnswer: 36*b**2 - 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7*j\/j**10)**47 assuming j is positive.\nAnswer: j**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120.94 * -0.5.\nAnswer: 60.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p - 93. Suppose -6*s = -s - 70. Let n be l(s). What is the highest common factor of n and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13*h**2 - h**2 + 6 - 9*h + 25*h + 0*h**2 - 10*h. Let w(c) = c**2 + c + 1. Determine -u(y) + 6*w(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7052 - -0.70529624. Round d to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r**2 - 335. Let f(k) = 96*k. Calculate f(j(x)).\nAnswer: -1632*x**2 - 32160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from {y: 4, v: 1, m: 2, w: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 257584 and 1904?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15733\/12 - -7819\/4. Which is greater: 644 or k?\nAnswer: 644","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 8 + -5 + -10 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2. Let a(k) = 4*k**2. Let o(b) = 5*a(b) - 8*z(b). Let u(q) = 623*q. Determine u(o(i)).\nAnswer: -2492*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2183 + -1791. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 353 + -345. Calculate the remainder when 41 is divided by 112\/g*((4 - 0) + -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678 = 5*v - 2*o, -3*v - 5*o - 382 = -0*v. Let b = -134 - v. Let w = 80 - 79.7. Put b, w, 1\/4, -0.5 in ascending order.\nAnswer: -0.5, b, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3866?\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-9\/10)*(i\/(i\/(((i\/i**(-3\/7))\/i)\/i)))\/i**(3\/2))**(-4\/7) assuming i is positive.\nAnswer: i**(164\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*m**2 - 693*m**2 - 431*m**2.\nAnswer: -865*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-5*r - 2 + 4*r + 5*r).\nAnswer: -8*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46988606429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or 0.51?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)*f*f)**38\/(f**(1\/2)\/f)**(-45) assuming f is positive.\nAnswer: f**(901\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*m - 156*m = 0. Let s(g) = -g. Let t be s(0). Solve 3*l = -t*x - 2*x - 21, -5*x + 2*l - 5 = m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by 6\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-14))\/((-246)\/2583). Solve t = 9*i - n*i + 15, 5*i = 2*t + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16354*w**4 - 2205*w - 2 wrt w?\nAnswer: 196248*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -770*l + 13. Is f(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 49612260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54243331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62768903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 67954, 4, -7 in descending order.\nAnswer: 67954, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05421421 rounded to five dps?\nAnswer: 0.05421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 2*f**2 - 2*f - 2. Let w = 8 - 10. Let g be h(w). Factor -3*t**2 + 10*t - 2*t**2 + g - 5*t.\nAnswer: -5*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37916129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 191*n - 186*n, 0 = b + 6*n + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 332*u**2 + 53*u - 45. Let t be w(1). Let i be (-1053)\/(-52) + 1\/(-4). Calculate the greatest common divisor of t and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-606)\/(-4)*16\/3. Let p = 13682\/17 - l. What is the common denominator of (-8)\/((-16)\/(-6)) - 4796\/(-264) and p?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033714 to 5 decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -903*m**2 + 135*m**2 - 1475*m**2 - 1041*m**2.\nAnswer: -3284*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -366, -544, -716, -888, -1066?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*q + 177. Calculate the remainder when 289 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2310254 (base 6) to base 8.\nAnswer: 346432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 4*h + h)*(153*h - 76*h - 51*h) in the form o*h**2 + r + k*h and give o.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -3, -2\/5, 251, 0.5, 101?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 768 and 1488?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = 2*z. Let d(p) = z - 4*p - 3 - 3*p**2 + p**3 - 5. What is the units digit of d(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-361)\/(-38))\/((-2)\/4)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -5 (b) 3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 367 - 216. Let a = c - 89. Let d = a - 106. Round d to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**8\/4032 + 5*n**7\/72 + 1225*n**6\/144 + 21*n**5\/20 + 76*n**2. Let c(u) be the third derivative of a(u). Factor c(o).\nAnswer: 5*(o + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 10*f**2 - 16*f + 16. Let s(c) = -3*c**2 + 5*c - 5. Let r(y) = 5*a(y) + 16*s(y). Let u(h) = -5*h**2. What is u(r(l))?\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*f**2 - 210*f**2 - 216*f**2 - 581*f**2.\nAnswer: -1379*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 283*x - 286*x - 3, n - 3 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 4 - 9 + 5. Let g(v) be the second derivative of v**3\/3 - 14*v. Give g(b(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) - ((sqrt(475))**2 + 2)).\nAnswer: -5*sqrt(19) + 2385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 260, 258, 246, 218, 168, 90, -22?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let f(n) = 2*n**2 - 136458*n. Give f(s(m)).\nAnswer: 2*m**2 - 136458*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -357\/107621 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 320\/7 and 46 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -441471417\/2 and -220735708 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/16*0)\/2. Solve 6 = 2*f - q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 32 = 4*i + 7, 0 = 5*g + 4*i - 1. Let t(s) = 22*s**2 - 2*s - 3. Is t(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 7*q**2 - 10*q - 9. Let m be -1*9\/(-3) - 1. Suppose -18 = m*c + 2*i, -7*c + 5*i - 3 = -4*c. What is the units digit of b(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.65 - -0.0321?\nAnswer: -9.6179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, 1 in decreasing order.\nAnswer: 2, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 3\/3884, 2\/115, 0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 822\/165 - (-1752)\/(-365) - (-3 - (-166)\/66). Suppose -2*w - 3*b - 3 = -7*w, 4*w - 3*b - 3 = 0. Factor 0*c + w + 0*c**2 + 0*c**3 - 2\/9*c**5 - q*c**4.\nAnswer: -2*c**4*(c + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4795*y + 274 = -4798*y + 4 for y.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33874030\/161334153 - -2\/58013. Let z = b - 14\/103. Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v + 2*v - 6 + v)*(41 + 46 + 90) to x + k*v and give x.\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101272 (base 8) in base 10?\nAnswer: -33466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10 + 7 - 3*y - 39 - 2*y + 18. Let d be (-4)\/(-10) + 161\/35. Let n = 2 - d. Determine q(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 + (-99176)\/1715)\/(18\/10).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v = 257 - 59 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/10)\/(11 + 486\/(-45))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 6*q**5 + 200*q**4 - 582*q**3 - 41688*q**2 + 110592*q + 41472 = 0.\nAnswer: -24, -1\/3, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 854 and 462.\nAnswer: 28182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 (base 12) in base 8?\nAnswer: -535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 15, 3*d = -3*i + 99 - 33. Suppose 0 = 3*o + 13 - d. Solve 0 = o*f + 5 - 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 35*i - 140. Let d be y(4). Solve -q - 2*c = 2*q - 10, 2*q + 4*c - 20 = d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36838908*q**3 + 529*q**2 - 12442.\nAnswer: 221033448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 23 + 7. Solve 0*r + 24 = -2*r - 4*l, -32 = n*r + 5*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g + 29*g + 12*g**2 - 66*g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4*r = 74, -24 = 4*n + 632*r - 634*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -37926*t - 1. Let u(x) = -44*x. Determine v(u(i)).\nAnswer: 1668744*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 7:25 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68*h*w**3 + 2*h*w - 431579*h + w**2 + 13*w wrt w?\nAnswer: -204*h*w**2 + 2*h + 2*w + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -27*l**3 + 2*l**2 + 3*l. Let v be g(-1). Suppose v*q - 61 = 43. Put q, 0, 5 in decreasing order.\nAnswer: 5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-3 - -4)*(-4 + 2). What is the biggest value in u, -1\/7, -0.1, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216554334?\nAnswer: 2, 3, 36092389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 38*m + 656 = 0. What is the lowest common multiple of 42\/189*(-5)\/((-15)\/108) and m?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**4 - 4*t**2 + 4*t - 4. Let m(q) = -12*q + 11*q**2 + 5 - 1 + 7 + 21*q**4. Let x(g) = 11*i(g) + 4*m(g). Find the second derivative of x(r) wrt r.\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2027*u**2 - 213 + 213.\nAnswer: 2027*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-31)\/31*(4 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 201, 401, 601, 801?\n\"Answer: 200*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 152164*i.\nAnswer: 2*i*(i + 76082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -313 and -0.5.\nAnswer: -313.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1 + sqrt(325)))**2 + (sqrt(325) + 1 - sqrt(325))**2*-6)*-5*3*5.\nAnswer: -879750 - 27000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23123 + -431031?\nAnswer: -402403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 + 107. Let g = -1 - -10.2. Let u = g - 9. What is the second biggest value in -2, u, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p - 6*p - 3*p. Let w(u) = 17*u**2. Calculate l(w(m)).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 1.1. Let h(d) = -d**2 + 36. Let m be h(13). Let q = m + 137. Which is the second smallest value? (a) 3 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11975, 0, -4, -2, 2.\nAnswer: -4, -2, 0, 2, 3, 11975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 143*o - 2784 - 2364 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4305044 centuries in years?\nAnswer: 43.05044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10312632 and 1347?\nAnswer: 10312632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 46.5784 weeks?\nAnswer: 28170616320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569606 greater than 5569650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75588012 = 3*d - 7*h + 10*h, 0 = 4*d - 2*h - 100783992. Round d to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11acc (base 14) in base 11?\nAnswer: -2a594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-201)\/95 + 2 + (-29)\/145. Suppose 5*s + 58 = -2*m, -13 = s - 2*m + 1. Let g = -11 - s. Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h = -63*h - 276. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 1. Let g(k) = -3*k**3 + 4*k**2 + 6*k + 2. Give -g(z) - 4*n(z).\nAnswer: 3*z**3 - 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r + 59*r = 3*n + 13, r - 3*n = -7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 7)*173\/(-1384).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 4676898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 794542051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -30*m - 2. Let a(h) = -4*h. Let o(x) = -6*a(x) + c(x). Let q(u) be the first derivative of 9*u**2\/2 + 3*u + 24. Give -7*o(b) - 5*q(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:00 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2192421 times 0.5?\nAnswer: -1096210.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 22, 71, 172, 343, 602?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 17. Let d be k(17). Let q(c) be the third derivative of c**5\/60 - 5*c**4\/24 - c**3\/2 + c**2. Let m be q(6). Solve 3*j = -d*j - m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 32\/5 of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 22*g + 27. List the prime factors of x(23).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:45 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 261, 233, 205?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 418*c + 2077. Determine o(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069774209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxscykx. Give prob of picking 1 x, 1 k, 1 y, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10*a**2 - 10*a. Suppose 50*g + 2 = 2*t + 49*g, -3*g + 6 = 0. Let d(f) = f**3 - f**2 - f. Determine t*k(h) - 20*d(h).\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.42, 1\/790, 32.3, -0.2 in descending order.\nAnswer: 32.3, 1\/790, -0.2, -0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 38*b - 8. Let j(k) = -82*k + 17. Let q(x) = -13*a(x) - 6*j(x). Give q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1016420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -148. Calculate the greatest common divisor of h and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248808 is divided by 6215.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**3\/w*w)**(21\/4)\/(w**(-18)*w**(-20)\/w*w) assuming w is positive.\nAnswer: w**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {w: 1, c: 3, z: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 122\/(-183)*(-6)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 43*f + 137. Give k(-43).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (21 - (-8 + 9) - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*h - 251 + 48 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1506 and -133\/1152.\nAnswer: 289152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7439*o**2 - 3722*o**2 - 3718*o**2 - 1426*o in the form j + f*o**2 + t*o and give t.\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 9:58 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277 + -253. Solve 8*t = -0*t - l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145463058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1735632 or -22?\nAnswer: 1735632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -21, 4 in increasing order.\nAnswer: -21, -8, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 - 19 = 0. Suppose 3*n + 28 = z*n. Solve -2 = 4*i - n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40540\/(-500) - (81\/45 + 188\/(-100))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 2, f: 4, l: 1, v: 2}. What is prob of sequence uu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -282*z**3 + 3*z**2 + 6*z - 8. Let n(b) = -b**3 - b**2 + 1. Let t(d) = -i(d) - 2*n(d). What is the hundreds digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*y + 3, -31*y + 32*y - 7 = 2*h. Sort y, -3, -85 in increasing order.\nAnswer: -85, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 668325 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l**2 - 3*l + 4. Let j(v) be the third derivative of -v**4\/24 + v**3\/6 - 3*v**2 + 31. Let a(i) = -4*j(i) + w(i). What is a(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*n**2 + 44*n**2 - 3*n - 18*n**2 + 4*n**4 as f*n**4 + i*n**2 + l + k*n + c*n**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 51*z**2 + 21*z + 14. Let t(p) = 17*p**2 + 6*p + 4. Let q(f) = 7*t(f) - 2*u(f). Let l(b) = -19*b. Determine l(q(j)).\nAnswer: -323*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + -8*(5\/(-2))\/5. Solve r*b - 3 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2642.466m in kilometers?\nAnswer: 2.642466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a - 5. Give s(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 81*y = 76*y - 35, -2*z + 2*y = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918707 is divided by 150.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013407 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.619 - -809.619. Let p = 809 - j. Is p < -260\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/273036 and 67\/7833?\nAnswer: 1911252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -410*p + 2 - 750*p**2 + 144*p**2 + 185*p - 4 wrt p?\nAnswer: -1212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 451 + 10 = 0. Suppose x*y - 93 = -30. Solve y*u - 4*i + 2 = u, -3*u - 3 = 3*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44192554.\nAnswer: 2, 7, 17, 185683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 137136395 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -291\/272 + 19\/16. What is the nearest to 1\/3 in 2, 4, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqpp when four letters picked without replacement from {g: 2, d: 1, p: 3, u: 4, k: 3, q: 3}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 4*g**3\/3 + 4. Let m(h) = -3*h. What is m(z(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyddyyyydddy. Give prob of sequence ddd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9281679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/3 - -1)*-15. Let n = -13092 - -13090. Sort n, 5, b.\nAnswer: n, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, x: 4, i: 7}. What is prob of picking 1 h and 1 x?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 126.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyj when three letters picked without replacement from {o: 1, a: 1, j: 1, h: 1, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5 - 10*z**4 + 20*z**3 - 20*z**2 + 10*z - 2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/10 - f**4\/3 - f**3\/3 + f**2\/2 + f. Is j(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2604, 0 in descending order.\nAnswer: 0, -5, -2604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllll. What is prob of sequence ll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 - 107. What is the smallest value in i, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -668000 rounded to the nearest ten thousand?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2513898, 2513894, 2513880, 2513850, 2513798?\nAnswer: 2513718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/141, -1293231, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/5)\/(363\/(-121)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009465926538 to five dps.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 9. Let w be z(0). Let n be 2\/(-8)*(-8)\/w. Let b = -2.6 + 2.4. Sort b, n, 1.\nAnswer: n, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 471427553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -7*y**4\/4 + y**3\/3 - y**2\/2 + y + 33. Let k(a) = a**3 - 7*a**2 - 21*a + 28. Let h be k(9). Calculate u(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 68*j**2 + j - 5*j**4 - 3*j - 73*j**2 + 4*j**4 + 41*j**3 as x*j + i*j**4 + a + y*j**2 + u*j**3 and give u.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46872462 divided by 6.\nAnswer: 7812077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + (-355)\/15. Is (-4)\/(-8)*-2 - n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -5)\/((-2)\/92). Let o = 48 - k. Solve o*g - 1 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 27*y**2 + 272*y - 279. Let r be a(-35). What is the fifth biggest value in 0.05, -49, -5, r, 0.02?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (6 - (0 - (-1 + 7)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1.11\nAnswer: 0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1471.432*-0.1\nAnswer: 147.1432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 8. Let z be q(-4). Suppose -2*a - 4 = h - 18, h + z*a = 12. What is the highest common factor of 48 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75\/8, 0.03, -2\/3, -13713, -5 in ascending order.\nAnswer: -13713, -75\/8, -5, -2\/3, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*g + 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -78. Let j = -72.53 - i. Let l = j + -2.47. Are 0 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 4, t: 2, y: 2, l: 6}. What is prob of sequence ld?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r**2 + 3 - 20*r**2 - 8*r**2 + 12*r**2 to the form f*r + l*r**2 + u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -2*v**3 - 1\/4*v**4 - 11*v - 4 - 4*v**2. Let f be z(-5). Solve w + f + 0 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 9*c + 4 = 0. Let m be 1\/(c + -3) - (-42547)\/314. Is m less than or equal to 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1606680030)\/9 + 20\/6. What is o rounded to the nearest 1000000?\nAnswer: -179000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2231*b - 6686. Calculate f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 50. Give n(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22864.\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (-2*(-2 + sqrt(208)) - (-1*sqrt(208) + -3))**2).\nAnswer: -253 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 15*k + 13. Let y(j) = 259*j + 6 - 752*j + 249*j + 251*j. What is -6*i(p) + 13*y(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f - 290 = -258. What is the closest to f in -5, -2\/37, -2\/11?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c)\/c*c*c\/(c*c\/(c*c**(8\/9)*c)) assuming c is positive.\nAnswer: c**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 9*s**2 - s + 7. Is a(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.04? (a) 3 (b) -0.1 (c) -0.2 (d) 1 (e) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - 4*l)*(-2 + 2 - 1)*(3 - 2 + 5 + (-2 - 1 + 4)*(-2 - 3 + 3) + 4 - 5 + 2).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2094 + 908 = 158*j for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992576387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 3*p + 5*t + 119, -2*t + 106 = 2*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**7\/420 - 11*r**6\/240 - 19*r**5\/120 - 3*r**4\/16 - 104*r**2. Factor z(o).\nAnswer: -o*(o + 1)**2*(o + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkk when three letters picked without replacement from kkkkppkpkp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/57)*k)\/k*k*k**(-3\/5))\/((((k*k*k**(-2\/19))\/k)\/k)\/(k\/(k**(1\/7)*k))))**(-1\/25) assuming k is positive.\nAnswer: k**(-2648\/49875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 32880*l**2 - 24*l - 23. List the prime factors of f(-1).\nAnswer: 131, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621310435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04857228994 less than -1?\nAnswer: -1.04857228994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjzgprjppzrrpljzz. What is prob of picking 1 g and 1 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:51 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 18*z**2 + 16*z - 34. Let q be a(4). Let v be 6\/81 - q\/(-81). Let x(b) = -b**3 + 4*b**2 + 2*b - 2. Give x(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = x + 2*x. Let c(w) = 46390 + w - 92771 + 46386. Let l(s) = 1. Let b(y) = x*l(y) + c(y). Determine b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 226, -2, 2, 13 in descending order.\nAnswer: 226, 13, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 - (21 - 21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1401148827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, -2, 3 in descending order.\nAnswer: 3, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 18074.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 + 34*b - 54. Calculate w(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 6:45 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 35, 31, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 2. Let n(p) = -4*p - 9. Let v(i) = -9*h(i) + 2*n(i). Let u(g) = 104*g + 48. Let o(f) = 11*f + 5. Let z(m) = 48*o(m) - 5*u(m). Give v(z(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -4\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*s + 22 = 0, 2*s = -43*u + 39*u + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*b - 2*w, -4274*b + 4274*b = -w - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*q - 3 = 1, 3*q - 1 = 4*b. Suppose s + 5*f = 706, -b*f + 0 + 2 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/10*16\/36 + 0. Find the third derivative of 7*v**4 - 18 - 26*v**4 + v**3 - 9*v**2 + 2*v**4 + 7*v**n wrt v.\nAnswer: -408*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 3*c - 791 + 800, c = -1 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190.092 + -0.592. Let l = -190 + c. Put -4, -3, l, 1\/3 in decreasing order.\nAnswer: 1\/3, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*a + 189 = 714 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82880 and 8288?\nAnswer: 82880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2598083.\nAnswer: 359, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 1 + 0*h)*(19026*h**2 - 10846*h**2 - 12755*h**2).\nAnswer: 4575*h**3 - 4575*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 54 + 1457*m**2)*(-2*m + 6*m - m)*(5*m - 5*m + 2*m).\nAnswer: 8742*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-1))\/v*v)\/v)**(9\/10)\/(v**(1\/4)\/v*v)**(-7)*v**(4\/3)*v**6*v**(1\/6)*v\/(v**(-2\/7)*v) assuming v is positive.\nAnswer: v**(1587\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hffkrekifkhkkkr. What is prob of sequence eir?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**2 - 28*c + 120 = 0.\nAnswer: -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert d6f7 (base 16) to base 4.\nAnswer: 31123313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*(1 + -2))\/((-102)\/3808). Let i be m\/6*12\/8. Suppose -20 = 2*d - i. Solve -k = -d*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -1163 + 159. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*a - 7 = 0, -a - 10 = -4*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 839.2578l?\nAnswer: 839257.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, -3\/8, 0, 6, -17, -2\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l + 2. Let c(o) = -o + 1. Let s(z) = -4*c(z) + w(z). Let b be s(-4). What is the highest common factor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1538659827*m**3 - 4621958289*m**2 - 17942232*m - 17424.\nAnswer: -3*(m + 3)*(22647*m + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-128)\/9 - (-1 + 14\/18). Let d be y\/70 + (-111)\/(-5). Solve -d*q + 5*q**3 + 0*q**3 - 6*q**3 + 8*q**2 + 16 + 2*q = 0 for q.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 + 164*p\/11 + 166\/11.\nAnswer: -2*(p - 83)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*z - 35 - 2 = 0, -3*u + 59 = -4*z. Let d = u + -11. What is the least common multiple of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 1010028.\nAnswer: 40401.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 17*t**2 - 10*t - 13. Let x(d) = 8*d**2 - 5*d - 6. Suppose -3*h = -5*g - 33, -7*h = -2*g - 5*h - 14. Calculate g*f(s) + 13*x(s).\nAnswer: 2*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62519.02 days to minutes.\nAnswer: 90027388.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3301 (base 4) to base 13.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**2 + 5*w + 3. Let y(j) = 14*j**2 - 9*j - 5. Let z(k) = 5*c(k) + 3*y(k). Let q = -132 + 149. Let l(a) = 20*a**2 - 6*a. Determine q*z(h) - 6*l(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -88, -79, -66, -49?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2772\/(-90) + 30)\/(((-12)\/225)\/(-4))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54800*i*z - 9568363*i - 80*z with respect to z.\nAnswer: 54800*i - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8326683542 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((292\/(-16))\/(-1))\/(30\/(-4)*93\/(-2790)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.82 and -520.5.\nAnswer: -519.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5824558*k**6 - 2*k**4 + 8204815*k**2.\nAnswer: -698946960*k**3 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4180 + 1209 = 4*n - q, -3*n = 4*q - 4037. What is the remainder when n is divided by 225?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 7*r**2 - 2*r + 32. Suppose 2*m + 32 = -5*q, 2*q = 1 - 9. What is the units digit of v(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1311995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 4*i)*(5 - 10*i**2 - 5).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -41. Let r(z) = -15*z. What is r(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = -d, -10*d = -5*d + 2*a - 5. Which is smaller: d or -2\/637?\nAnswer: -2\/637","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.273, 234, -0.2, 2, -0.5 in increasing order.\nAnswer: -0.5, -0.2, 0.273, 2, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgm when three letters picked without replacement from mmcfmmfmmgffymmy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 70 - (-630 - -649)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*a**2 + 52 + 14*a**2 - a + 3*a - 4*a to j*a**2 + c + o*a and give c.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.193244 to 1 decimal place.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/37 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61378389 is divided by 9721.\nAnswer: 9716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 8 - 6)*(3*j - 6*j - 2*j)*(4*j + 0*j + 2*j) to the form y*j + u + z*j**2 and give z.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 10 = -2*o, 0 = -4*o + 4*y + 11 - 3. Suppose o = a - 5*j - 49, 5*j - 5 = -2*a + 93. Suppose 2*u - a - 36 = -5*d, 45 = 4*d - 3*u. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 1 + 10*g**2 + 5*g**2.\nAnswer: 15*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1061 + -1066. Sort 3, d, -66 in increasing order.\nAnswer: -66, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/264*2\/(-3)*27\/18.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - 9*z**2 + 27*z - 9*z**2 - 23*z to the form l + w*z + b*z**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226432446?\nAnswer: 2, 3, 1831, 20611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -o + 6*o - 5*p - 0*p, 3*p - 9 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 34.7, 276.49.\nAnswer: -4, -2, 34.7, 276.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (-2 - 2)) + 1892\/(-4). What are the prime factors of (16\/6)\/((20\/v)\/(-5))?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(2))*-5*6 + (-1*sqrt(288) + 1)**2*5.\nAnswer: -150*sqrt(2) + 1385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 201 (b) -0.5 (c) 0.072 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -212*((-6)\/(-3))\/4. Let h = -13\/102 + 2276\/51. What is the common denominator of h and (c*(-2)\/4)\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * -5.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 280379454 > 2523415076\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3))**(-14\/13)\/(m*m\/(m\/((m\/(m\/m**(1\/4)))\/m)))**(-39))**(-39) assuming m is positive.\nAnswer: m**(-1857\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*y - 8*y - 2*y)*(3 - 2 + 3) + (3 - 3 - 2)*(-2*y + y - y) + y + y - y + 5*y - 5*y + 4*y to z + s*y and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 104537019 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73280 divided by 3664.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -10486088?\nAnswer: 10486083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4510578696 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*l - 267180 = 554900, 0 = 4*j + 5*l - 657660. Suppose -5*p + 205485 = -3*w, -p + 4*w - j = -5*p. Round p to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -583, -876, -1169, -1462?\nAnswer: -1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.56677 and 0.234.\nAnswer: -2.33277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897931.\nAnswer: 7, 17, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 (base 14) in base 3?\nAnswer: 1111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99624 times -0.8?\nAnswer: -79699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1318053*m**3*s**2 - 493*m**3*s - 7618*m**3 + 25*m*s**5 wrt s?\nAnswer: 2636106*m**3 + 500*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 22.9. Which is the fourth smallest value? (a) 0 (b) 2\/15 (c) s (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 4*r - 21852. Determine h(150).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225542 + 356*s**3 - 225542.\nAnswer: 356*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 1:31 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-343)\/12 + 983\/(-8847) + (1 - 49\/(-36))?\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**4 + 1575*z**3 + 6945*z**2 - 210089544*z wrt z.\nAnswer: 12*z**2 + 9450*z + 13890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18620)\/140 - 44070\/(-330)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -7*z**5\/90 + 97*z**4\/27 + 56*z**3\/27 - 2309*z. Suppose p(w) = 0. What is w?\nAnswer: -2\/7, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 217325358173004.\nAnswer: -217325358173005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/120 - 2*h**3 - 425*h**2. What is y(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245448 divided by -8?\nAnswer: -530681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-20))\/((-49)\/(-35))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13\/2))**(1\/41)*o*o*o*o**27\/o*o*o*(o*o**(-1\/16)\/o)\/o assuming o is positive.\nAnswer: o**(19535\/656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29a98 (base 14) in base 8?\nAnswer: 312306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*h + 28 = 0, 34*h - 34 = -3*y + 29*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 5*w**2 - 14*w - 14*w**2 + 10*w to q*w**2 + o*w + m and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 112?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56.09270408 - 0.90728517. Let k = 57 + x. What is k rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 - 140. Let p be (2\/9*o)\/((-1)\/(-6)). Solve 3*a + 5 = p*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 55 = -5*z, -5*n + 4*n + 23 = 2*z. Suppose 0 = z*y - 10*y - 220. Which is smaller: 56 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153148500, 153148505, 153148510, 153148515?\nAnswer: 153148520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -4, 225?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 + 1 - (5568 - 5618)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 0 + 2 - 12*g + 9*g. Let a(y) = -y + 1. What is 2*a(h) - f(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-5)\/5*-10. Let q(b) = 2*b**3 + 6*b**2 + 8. Let h(c) be the third derivative of c**6\/60 + 7*c**5\/60 + 3*c**3\/2 - 5*c**2 - 1. Give d*h(y) + 7*q(y).\nAnswer: 2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 995135 or -0.532?\nAnswer: 995135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 5:47 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 + 20*n**3 - 2*n**2 + 8*n - 22*n**3 - 6 in the form k*n**3 + t*n + g + i*n**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 685897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16 - 43 = -3*j, j + 3*m = 14. Suppose c + 76 = j*c. Solve -3*u + o + 5 = 0, 8 - c = -3*u + 4*o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -30484.\nAnswer: -30479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o)\/o)**(-44)\/((o**(10\/7)\/o)\/o**(-14)) assuming o is positive.\nAnswer: o**(823\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.041 - -29.041. Let o = 564 + -565. Sort d, o, -5.\nAnswer: -5, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -9, 2\/69943, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*4446.0877.\nAnswer: 444.60877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -102. Solve s = 5*c, 9*l = 4*l + c - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/9 (c) 238\/32367 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 37 * -3159\nAnswer: -116883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127197326.\nAnswer: 2, 63598663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6344*w - 6340*w + 6*s = 42, 0 = 5*w - 3*s - 42 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160308871442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -23. Suppose d - 7*d**2 + 1 + 4*d**l - 3*d - 1 = 0. What is d?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -314*c + 3212 + 357*c**4 - 3210 + 53*c**4 wrt c.\nAnswer: 4920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(3\/5)*y)\/y)\/(y*y*y**(-3\/7)))\/(y**6*y*y**(-1\/10)))\/(y**1\/(y*y*y**(-1\/3)*y))**(-14\/11) assuming y is positive.\nAnswer: y**(-23083\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 + 13 = 2*g, -g + x = 0. Let w be 130\/g + (-2)\/4. What is the remainder when ((-3)\/(-6))\/(1\/w) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*26\/(-42))\/((-1)\/(-2))*12\/(-64).\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 474084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5915 and 364?\nAnswer: 23660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 87176850 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 524*m - 10905. Give g(22).\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -16, 4, 29 in decreasing order.\nAnswer: 29, 6, 4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) 29 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 127742, 126584, 124654, 121952, 118478, 114232, 109214?\n\"Answer: -386*l**2 + 128128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -23 + 20 + 49 + -27.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) -7 (c) -378 (d) 0.07 (e) 1\/10 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 6 = -3*c, 6*k - 361 + 400 = -3*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177967953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65.23614 grams?\nAnswer: 65236140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Let o = -10 - -18. Suppose 0 = o*p - 38*p - 90. Put k, p, 5 in decreasing order.\nAnswer: 5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1 (b) 0.8 (c) 457.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/4)*d\/(d**6\/d*d))**26)**39)**(-14\/15) assuming d is positive.\nAnswer: d**3549","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 o when four letters picked without replacement from {f: 3, q: 1, d: 5, m: 1, s: 1, o: 6}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/11 (b) -32 (c) -2 (d) 3\/5 (e) -6 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c + 583 + 731 - 236 = 0 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(2\/17)))\/v*v*v*v**(-7))**(4\/3) assuming v is positive.\nAnswer: v**(-400\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdkrxma. Give prob of picking 1 a and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1355.334 months?\nAnswer: 0.1129445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -30*r**2 + 63*r**2 - 32*r**2. Let x(j) = -22 + 17*j + 22. Determine i(x(g)).\nAnswer: 289*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -498\/251 or 2?\nAnswer: -498\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49581 + 49580. Let g(z) = z**2 + 6*z + 6. Let q be g(-5). Put 3, b, q, 4 in decreasing order.\nAnswer: 4, 3, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8*o + 4*x = -4, -4 = -4*x. Let s be 4\/(-4) - (-1 - 2). Let c = o + s. Are c and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88+-251223520.9\nAnswer: -251223608.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13010 (base 4) in base 9?\nAnswer: -552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4454.4366 minutes in days?\nAnswer: 3.09335875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 + 7*f**2 - 4*f - 23. Let h be u(-6). Let a = 177 + h. What is the nearest to 1 in 3\/4, a, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 6*z**2 - 11*z + 2. Calculate r(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + 2*s + 2. Let i be h(-2). Solve -2 = 4*a + i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 464, 923, 1382, 1841, 2300, 2759?\n\"Answer: 459*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-388)\/(-485))\/((-22)\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156*(-138)\/8211*21\/6.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 361467487 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 prob of sequence nc when two letters picked without replacement from {f: 6, c: 1, n: 2, m: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = x - k, -5*x + 25*k = 23*k + 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 4, 0, -24.\nAnswer: -24, 0, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 10717*y**2 - 10704*y**2 - 14165*y**2 - 31779*y**2.\nAnswer: -67365*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 145, 239, 391, 613?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -288 + 297. Calculate the lowest common multiple of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 + 9. Let t = -44 + q. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:19 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*b + 11. Let f be 17 - b\/(-3) - 2. Let k be 12\/(-15) + f\/5. Solve 0 = 5*d + 5*z - 50, -5*d + k*z = -3*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 22, 54, 98, 154, 222, 302?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*i - 239 = 23*i + 3347 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-135)\/(-12))\/(14\/14168)?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s + 115 = 259 + 96 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x - 8 = -22*x, 4*b + 0 - 2 = -5*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 10*h - 12. Let r be t(-7). Suppose 5*w - 9 = -4*o + 38, -3*w + r = 0. Factor 5*s**2 + 3*s + 0*s**2 - o*s**2 + 6.\nAnswer: -3*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 - -46. Let b = 59 + j. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*p**2*u**2 - 2*p**2 - 3*p - 286*u**4 - 1125*u + 1 wrt u?\nAnswer: 158*p**2 - 3432*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9908480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267585\/285 + 10\/95?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**34*h\/((((h\/h**(-27)*h)\/h)\/h*h)\/h*h))**26 assuming h is positive.\nAnswer: h**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -8. Let j(b) = b**3 + 7*b**2 - 19*b - 9. Let d be j(h). Solve 5*n - 3*z + 17 = n, d = 2*n + 2*z + 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -1 (c) 0.3 (d) -1.362316 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*w + 6 = -2*d - 107*w, -3*d + 4*w = 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ca0b3 (base 16) to base 5.\nAnswer: 4042330403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 + 98 = -2*b + 201 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4306*p - 1389*p - 550*p + 354*p.\nAnswer: -5891*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-18) - 310\/18. Let p = 24 + q. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 2 - 11 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 27 + 9. Suppose 3*b + 2*u - 7 = u, -2*u = -b + 14. Suppose q*i - 51 = 3*g, -i = b*i + g - 103. Solve -w + 6*w = -i, -5*w = -c + 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33496 and 2551621?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.133 + -1.2304. Let i = -13.8774 - d. Let v = i + 1.38. Round v to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 15 = -4*x - 3*g, 4*x + 2*g = 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 253 + -474. Suppose -5*j - 312 = -6*j. Let p = j + c. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4295 divided by 859\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -1\/8*y**4 + 1\/3*y**3 + 15\/4*y**2 - 101 - 18*y. Factor q(t).\nAnswer: -(t - 3)**2*(t + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/3, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 5, r: 9, f: 1, z: 1}. What is prob of picking 1 z and 2 p?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8166 = -4*d + 5*b - 1834, -5*d + 7878 = 3*b. Suppose -4*g = -d + 190. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303 * 4\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 4. Let i be k(0). Suppose r = 5*r - i. What is the lowest common multiple of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1631450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 830, 3212, 7184, 12746, 19898?\n\"Answer: 795*c**2 - 3*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 34*v**3 + v. Let s(f) = f**2 + 4*f - 4. Let q be s(-5). Is x(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x - 9. Let b be u(0). Let c(d) = -d - 20. Let z be c(b). Is -11 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 0, 0 = -66*d + 67*d + 5*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c - 45 + 156 + 81*c**2 - 68*c**2 - 10*c in the form j*c**2 + k + l*c and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from asmasahsaasmamavvahm.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 11) to base 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/29 (b) -3\/26 (c) -44 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(63))**2*3*-4.\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 4*d**3 - 5*d**2)*(0 - 6 - 2)*(2 + 1 - 2 + d).\nAnswer: 32*d**4 + 32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d**3 + 44*d**2 + 44*d. Let p(y) be the first derivative of y**3\/3 + y**2\/2 + 47. Calculate -f(b) + 44*p(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*v + 3515 = 0, -10*y + 12*y = -3*v + 1401. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q**5\/5 + 87*q**4\/5 + 9*q**3\/5 - 52*q**2\/5 + 12*q\/5 = 0. Calculate q.\nAnswer: -6, -1, 0, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 10 = -j + 11, 0 = -5*m + j + 27. Is (-22*m\/(-18))\/(4\/18) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -276, -856, -1754, -2970?\n\"Answer: -159*d**2 - 103*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12192 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*t + 10 = 0, 2 = 3*u - 3*t - 10. Let k = -3 + 8. Let z = 68 - 63. Solve 0 = -z*b - f - u, k*f - f = -8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - -1*sqrt(832)*4) + sqrt(832) + (6*(sqrt(832) + 0))**2.\nAnswer: 48*sqrt(13) + 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 21589727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -263436703 - 4?\nAnswer: -263436707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2240\/(-96))\/(((-16)\/564)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10837233.\nAnswer: 3, 11, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 40*d - 74. Determine h(5).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*y + 27, 5*s - 4*y + 11 - 52 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10019, 20037, 30057, 40079, 50103?\nAnswer: 60129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(130) - 2*sqrt(130))*3*4)\/(sqrt(200)\/sqrt(5) + (sqrt(120)*-3)\/sqrt(12)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g**2 + 19*g + 217. Is 55 a factor of a(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1352.988 from 109.\nAnswer: 1461.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 30. Let q(w) = -3*w**3 + 6*w**3 + 0*w**3 - 2 - 15*w - o*w**3 + 9*w**2. What is the units digit of q(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (104 + 83 - 23)*(-13*j + 10*j + 8*j) as g*j + n and give g.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/9 + 346*l**2\/9 - 6592*l\/9 + 31616\/9 = 0.\nAnswer: 8, 13, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4790 - 2*x + 19698 - 3*x - 2958.\nAnswer: -5*x + 21530","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 + 199. Let g = h + -5.8. Is 2 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 2\/206929669?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 41*o**7\/315 + o**6\/360 - 4*o**2 + 6. Solve m(c) = 0.\nAnswer: -1\/82, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*i**4 - 35*i**2 + 161*i**4 + 101*i**4 + 62*i**4 - 2 - 21*i**2 wrt i.\nAnswer: 8952*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.79387992 to 4 dps.\nAnswer: 2.7939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -129\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12498 divided by -18?\nAnswer: 2083\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6232 is divided by 5163.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6641, 13283, 19923, 26561, 33197?\nAnswer: 39831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k - 6*k**2 + 24 - 23 - 14 - 10*k - 8*k to z*k + q*k**2 + b and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -694341, -9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (15\/5)\/(-3)*(-35)\/5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 1\/3*s**2 - 2*s.\nAnswer: (s - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -668914*v**2 - 93160*v.\nAnswer: -1337828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 13. Let b be s(-7). Let g be b\/4*(-12)\/9. Suppose -153 - 1 = -g*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 4*x - 51*x**2 + x**4 - 14*x**2 + 53*x**2 to the form y*x**3 + j + z*x**2 + b*x**4 + k*x and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 461*q + 1865. Let u be z(-4). Solve 3*k - 2*a - 3 + u = 0, -3*k + 4*a = 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 752\/72 + 3 + (-55)\/5. What is the closest to 0.3 in 2\/39, p, -2\/11?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 1, 5, 0 in decreasing order.\nAnswer: 5, 1, 0.09, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 + 12 = 0, 4*c - 22 = -5*h. Suppose -244114 = h*m - 92114. What is m rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(68) + sqrt(68))\/sqrt(4).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 186173489 or 186173484?\nAnswer: 186173489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -84172?\nAnswer: 1\/84172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/3 + 2279*m\/3 + 2282 = 0. What is m?\nAnswer: -3, 2282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12981765 and 18905?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 200*i - 2595. Let m be l(13). Let q = 7.7 - 8. Which is the smallest value? (a) 4 (b) q (c) m (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6193 - -11212. Let q = z + 1580. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -254 - -253.47. Let m = 0.52001 + u. What is m rounded to 4 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -259210 divided by 46\nAnswer: -5635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 - 2*q**4 - q**4)*(-3 - 3 + 4)*(-5 + 6 - 3) + (2*q**3 + q**3 - 4*q**3)*(0*q + 2*q + 0*q).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0) + (0 + -2 - 6). What is the common denominator of (h\/((-210)\/(-9)))\/((-6)\/101) and 21\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 8:53 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.065. Let k = -0.0408 - u. What is k rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 13*m**2 + 12*m + 8. Let u be o(-12). Suppose u = -g + 3*g. Find the third derivative of -g*z + 0*z + z**2 - 3*z**4 + 4*z wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2603312.\nAnswer: 2, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1646 - 1?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 101, 208, 317, 428, 541, 656?\n\"Answer: v**2 + 104*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 357 + -356.7. What is the nearest to -0.22 in o, 1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) -2 (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 21 - 9 = 0. What is the units digit of 1\/(((-3)\/u)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/45 in -0.07, 0.02, 0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*r**6 + 4*r**6 - 20*r**2 + 6*r**6 wrt r.\nAnswer: 1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148102.5 + -2.\nAnswer: -148104.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4255\/1332 - 3\/((-6)\/(-10)) and 47\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 56632.\nAnswer: 1415800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.2609981 months?\nAnswer: 0.000105083175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 11*n. Let q(d) = 8*d. Let u(f) = 7*f. Let v(l) = -4*q(l) + 5*u(l). Calculate v(x(s)).\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38931*3.6\nAnswer: 140151.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -34*v - 6. Calculate u(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2 + 12*q - 6. Let m(p) = -9*p**2 - 23*p + 13. Suppose -5*i + 21 = 1. Let z(j) = i*m(j) + 7*v(j). What is the units digit of z(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 42*q. Let p(z) = -11*z**2. Calculate t(p(k)).\nAnswer: -462*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/18 - 70\/7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * 1501.8.\nAnswer: 4355.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*z + 130 = -983*z + 503*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 5*j + 1. Let z be p(-4). Suppose -5*v - z = -x, -2*v + 14 = 2*x - 8. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 4, -1 in descending order.\nAnswer: 21, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 223121 divided by -24?\nAnswer: -223121\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.24, 2\/3, -1, 4 in increasing order.\nAnswer: -1, -0.24, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2555455 greater than -11.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 1212\/120)\/(12\/(-10))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -207, 23, 3, 5, -2 in decreasing order.\nAnswer: 23, 5, 3, -2, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.2, -1\/22, 79 in increasing order.\nAnswer: -3.2, -1\/22, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**5\/40 + 5*r**3\/3 - 4. Let u(t) be the third derivative of j(t). Let p(a) = 2*a**2. Determine u(p(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(sqrt(76) + -1))**2 + sqrt(76) - ((3 + sqrt(475) + 0)*5)**2.\nAnswer: -12020 - 752*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 7. Let o be w(7). Suppose o = -r + 1 + 19. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 11*o + 2. Calculate z(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 203.\nAnswer: 1\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4473.\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/17 and 41\/59?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11839 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = 114*o + 103*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + w - 1. Let s = 331 + -329. Let k(d) = -7*d**2 - 2*d. What is s*z(a) + k(a)?\nAnswer: -9*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/8080 and -35\/2424?\nAnswer: 24240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 973272823 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 5:11 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-182)\/(-156) - (-51)\/(-54). What is the second biggest value in 4.2, -2\/9, q, 6?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335154881 is divided by 822.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000307562568 to seven dps.\nAnswer: -0.0003076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6442 + 12601. List the prime factors of x.\nAnswer: 3, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 3*h**2 + h + 7. Let x be (-1*9\/6)\/((-15)\/(-30)). What is b(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 1250 - 326. Calculate the greatest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 8, -27, -128, -325, -648?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6626*n - 32970. Give d(-5).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-71 + 82)*(-1 - (-103)\/94) and (43\/3)\/(14\/(-3)).\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3818 or 3816?\nAnswer: 3816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 6*d - 16. Let f(n) = -2*n**2 + 7*n - 18. Determine 5*f(y) - 6*w(y).\nAnswer: -4*y**2 - y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495716 is divided by 638.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 231366, 925477, 2082330, 3701925?\n\"Answer: 231371*q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s. Let a be c(8). Let g = a - -91. What is the remainder when g is divided by (4576\/(-80))\/11*(-45)\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 98*c - 98*c + c**2. Let w(g) = -67*g**2. Determine u(w(t)).\nAnswer: 4489*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136906.99995 - 136899. Let y = 7.2 + 0.8. Let g = t - y. Round g to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1175, -1, 24 in descending order.\nAnswer: 24, -1, -1175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 18. Sort -0.1, 4\/3, h.\nAnswer: h, -0.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2304 - -7735. List the prime factors of z.\nAnswer: 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 12) + 17 + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (15 - 7) - (-3 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + -6*(sqrt(704) - (sqrt(704) + -1)))**2 - (((sqrt(704) - (sqrt(704) - (sqrt(704) - sqrt(704)*-1)))*-5)**2 - (sqrt(704)*3 + 1)).\nAnswer: -70388 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyf when three letters picked without replacement from {y: 2, f: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 698 - 38. Let q be (2\/5)\/(12\/w). Suppose -678 = -3*u - 2*a, -q + 256 = u - 2*a. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -3*c**4\/8 - 5*c**3\/6 + 11*c**2. Let x be z(-1). Let h be (x*1)\/((-12)\/(-18)). Solve -k + h = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 11*s**6\/120 - s**5\/60 - s**3\/3 + 9*s**2 + 14. Let l(u) be the second derivative of m(u). List the prime factors of l(2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-15) - (-22)\/(-30). Which is the second smallest value? (a) p (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-605)\/(-85) - 2) + (-14)\/119. Let s(k) = -5*k**2 + k. Let v(p) = 9*p**2 - 2*p. What is m*s(n) + 3*v(n)?\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 53767\nAnswer: 21506.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7212\/(-18))\/(2\/(-9)) + 1. What is the common denominator of 26\/5 and (s\/3564)\/(4\/(-6))?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*k = 16 - 5, 2*k = 3*q - 6. Suppose q*c - 12*b + 15*b = -11, -5*c = -b + 9. Sort c, -5, -18 in decreasing order.\nAnswer: c, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7) - (sqrt(7) - sqrt(21)\/(sqrt(12)\/sqrt(4))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -947 divided by 1\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 5*h**2 + 67*h + 36. Calculate t(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 13500145?\nAnswer: -13500151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200212 - -1302002?\nAnswer: 1101130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 36 = 4*j, 18*j + 8 = 20*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107.4 - 107.9. Sort o, 7, -4 in ascending order.\nAnswer: -4, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:08 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 614 - 718*h**2 - 190*h**2 - 614 in the form z + f*h + u*h**2 and give u.\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/85 and -101\/1983950?\nAnswer: 33727150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -258*k**5 + 26285*k**2 + 2*k - 7578715 wrt k?\nAnswer: -5160*k**3 + 52570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3613, 3663, 3759, 3907, 4113, 4383?\nAnswer: 4723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h + 2*h + (0 + 12 + 24)*(-1 + 2*h + 1))*(-5 + 2 + 0).\nAnswer: -225*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.3 - -344. Let b = x + -374. Which is smaller: b or 49?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -492432 + 5664*h + 492432 to i + t*h and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1112\/(-18) - 2\/9. Let d(o) = 30*o**3 - o**2 - 2*o - 2. Let m be d(-1). Let h = m - z. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -23?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10011100101001111010?\nAnswer: 10011100101001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*n - 4*u - 10 - 6, -447 = -26*n - 2*u - 367 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 7:37 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6*y - 4 = 0, -4*k = 2*y - 48. Suppose -14*z = -k*z - 3. Suppose 0 = -z*w - 100 + 241. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gijjibjiejobiieii. Give prob of picking 1 g and 2 i.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 726 and 74857618.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1386\/9240)\/((-2)\/2*(-3)\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a**3 - 18*a**3 - 14*a**3 + 52*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2366*p - 3569. Let i(j) = 4511*j - 7137. Let l(g) = -2*i(g) + 5*s(g). What is the first derivative of l(d) wrt d?\nAnswer: 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1650 + 1649.98. Which is the second smallest value? (a) z (b) -1\/4 (c) 5\/6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85720?\nAnswer: 2, 5, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:46 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*u**3 + 9*u - 33*u**2 - 5*u - 1460 - 42*u**3 - 4*u with respect to u.\nAnswer: 3*u**2 - 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/(4\/(-40)). Sort -5, i, 5 in increasing order.\nAnswer: -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -760384, -760386, -760390, -760396, -760404, -760414, -760426?\n\"Answer: -s**2 + s - 760384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 - 126. What is the closest to 0 in w, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1256 by 8.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 725013685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*q - 44 = 0, 4*t + 73 - 41 = -2*q for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -3 (c) -20\/7 (d) 1\/8 (e) 10 (f) -1 (g) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**2 - 33966*k + 6456549 = 0.\nAnswer: -11509, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 4*t**2 - 6*t**2 + 90.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -873 * -0.1\nAnswer: 87.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 1 + 1. Let q be 30\/(-8) + (-12)\/(-16). Let d = -4 - q. Give y(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z - 102 = 20*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(343) + (3 + (sqrt(343) + 1)**2 - sqrt(343)) + 0.\nAnswer: 14*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*t - 2, 0 = n - t - 4*t - 7. Find the third derivative of -5*v**5 - 2*v**2 + 2*v**2 + 6*v**2 - 2*v**n wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(486) + 2*sqrt(486)*-5))\/(-2*-3*sqrt(50)*1).\nAnswer: 81*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204614597 to the nearest integer?\nAnswer: 14304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5615, 22473, 50555, 89849, 140343, 202025?\nAnswer: 274883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13263 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9*v + 4. Let h(y) = -17*y + 7. Let z(u) = 6*h(u) - 11*q(u). Let n = 9 + -3. Let f(r) = -n - 4*r - 8*r + 2*r. Give -2*f(l) + 7*z(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/49)\/n**(2\/15)*n\/(n\/((n**(-17\/3)\/n)\/n))*n*n**(-4\/5) assuming n is positive.\nAnswer: n**(-1852\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494413877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4\/4 - 24779373*j**3\/4 + 74338137*j**2\/4 - 74338143*j\/4 + 12389691\/2.\nAnswer: -3*(j - 1)**3*(j + 8259794)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 33*f**2 + 390*f - 1564. Calculate q(-43).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111 - 45534?\nAnswer: -45645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**3*r**2 - 4*q**3*r*s + 10*q**2*r + 5*r**2*s wrt s.\nAnswer: -4*q**3*r + 5*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861 = 776*l - 817*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 1, c: 1, u: 1, s: 2, h: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 19 = 3*n + m, 0 = -3*n - 5*m + 29. What is the first derivative of -6 - 2*v**n - 2*v**3 + v**3 + 2 wrt v?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12013 + -100565?\nAnswer: -112611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) -0.4 (c) -4 (d) -2 (e) 2 (f) -0.67 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 69*k + 71*k - 274*k + 68*k + 61*k. Let l(m) = -414*m**2. Calculate b(l(g)).\nAnswer: 2070*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 458.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) 56 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -288 - -291. Solve -2 = c + 3*t, -y*c - 2*c = t + 24 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 28022 = -28*l + 26*l, 46702 = 5*f + 4*l. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3020438, -6040877, -9061316, -12081755, -15102194?\n\"Answer: -3020439*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-3)\/(-1 + 4). Let h = -1 + w. Let y = 0 - h. What is the remainder when y is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*v, 2*u + 2*u - 85 = 3*v. Which is bigger: u or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 11:23 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 63 + -121 - -31.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21404915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 819147, 1638262, 2457377, 3276492, 4095607?\n\"Answer: 819115*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-7934 + 3831 - 2*b - 4937).\nAnswer: 4*b + 18080","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*i**5 + 70*i**3 + 7162*i**2 - 1.\nAnswer: 3360*i**2 + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a - 11. Let l be y(-8). Suppose l*b - 54 = 43*b. What is the common denominator of 61\/9 and -5 + 8 + (-24)\/b + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 1)*(1 - 5 + 2) + 0 + 0 + 1)*(3464 - 62*j - 3464) - 3*j + 5*j - 3*j.\nAnswer: 61*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393 a factor of 183753741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by (55\/(-10))\/(3\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25455, -50868, -76295, -101742, -127215?\n\"Answer: -p**3 - p**2 - 25403*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201809 by 201809.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35376*f**3 + 3*f - f - 2*f.\nAnswer: 35376*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7.2718398 seconds?\nAnswer: 0.0000841648125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7951240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899712 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + z**2 + z + 1. Let u(m) = 4*m**4 - 4*m**3 + 9*m**2 - 3*m + 8. Let s(n) = u(n) - 4*w(n). What is the second derivative of s(v) wrt v?\nAnswer: 48*v**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26331 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -5. Suppose -r*a + 4*a - 36 = 0. Calculate the smallest common multiple of a\/8*8\/(-2) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 10*t - 2. Calculate the remainder when 17 is divided by f(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6, 3*n = 6*n - u - 400. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j + 2*j - j + 7*j - 3*j + (1 - 1 - 2)*(-j - 3*j + 3*j) + 1 - 1 - j)*(-5 + 5 - 2).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.91? (a) -0.4 (b) 165 (c) -0.13 (d) 3\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 20*f**2 + 91*f + 38. Give x(13).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -818 - 5?\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**2 + 24*v**2 - 14*v**5 + 27*v**5 wrt v?\nAnswer: 780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4*d**2*d\/(d**8*d)*d**(2\/7)*d*d assuming d is positive.\nAnswer: d**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s - 5 = 0. Suppose -4*j + 6*j = 0, -h = s*j. Suppose 3*n - 11 - 4 = h. Solve 4*p + 2*k - 1 - 9 = 0, k - n = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34*0.08078\nAnswer: 2.74652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242)\/(-44)*1440\/330.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200155\/137 + -1461. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 51*k. Let z(b) = -6322*b. Determine z(m(g)).\nAnswer: -322422*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1.8, -36, 25048?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 2. Let v be o(0). Solve 3*p - v*p - 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628*z = -567*z + 1159 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77856 + -15722?\nAnswer: 62134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35748318.\nAnswer: 2, 3, 61, 97673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3887 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19275 is divided by 742.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m + 145. Suppose 0 = 6*y + 5*y + 6*y - 391. What is n(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let h = -0.507 - -0.007. Which is the third biggest value? (a) h (b) r (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/200 (b) -4\/17 (c) 1 (d) -399\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h**4 - 7*h**3 - 14*h - 312. Let l(s) = 224 + 13*s - s**3 + 7*s**3 - 38 + 10*s**4 + 128. Let g(w) = 7*l(w) + 6*n(w). Differentiate g(f) wrt f.\nAnswer: 40*f**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmetepmetgpj. What is prob of picking 1 t and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-3 - 1 - 0). Suppose z*y + i = 16, y - 4 = -y - i. Is 3 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2\/w*w*w*w**4)**(-1\/18))**36 assuming w is positive.\nAnswer: w**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -274.2 + 274. Let y = 7 + 1. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8614517*z - z**2 - 119*z**3 - 8614517*z to v*z**2 + b*z**3 + k + f*z and give b.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/3 (c) -0.01 (d) 36 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15812 is divided by 336.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-7)))**(2\/85)*(p\/(p\/(p*p**(4\/11)*p*p)*p))**(-9\/4) assuming p is positive.\nAnswer: p**(-9637\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -46. Are l and -14 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - 6*v**2 + 2*v**2 + (0*v + 0*v + 2*v)*(-4 + 2 - 6)*(-1 + 1 - 1)*(15*v - 19*v + 12*v).\nAnswer: 126*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1029*a**2 - 681*a**2 - 81*a**2)*(4 + 0 - 3) as p*a + y + h*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 11500.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(280) + 3*sqrt(280) + sqrt(280))*-6 + sqrt(280))\/(sqrt(360) - (sqrt(360) - -1*sqrt(360))))**2 + -3).\nAnswer: 23440\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -19219.\nAnswer: 153752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, x: 6, c: 2}. What is prob of picking 1 c, 1 r, and 1 x?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.2200554 milliseconds to weeks.\nAnswer: 0.0000000896495625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 1. Let r = -152 + 98. Let n = r - -38. Let x = -7 - n. Let i(f) = 12*f - 9. Give x*u(v) - i(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(-3014*q - 3800*q - 557*q)*(0*q + 0*q - 2*q) as a*q + k + d*q**2 and give d.\nAnswer: -29484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(17) + 2*sqrt(17) - sqrt(17)) + sqrt(17))**2 - (-1 + sqrt(2448))**2.\nAnswer: -2292 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*s - 36 - 4, 4*s = 3*c - 32. Suppose 2*k = c*k - 2. Is 1 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/17 - 2829214*z**2\/17 - 665696*z - 11316824\/17.\nAnswer: -2*(z + 2)**2*(z + 1414603)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/8 - 3*r**3 + 24*r**2 - 80*r - 488. Suppose q(i) = 0. What is i?\nAnswer: 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 233, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p - 45*p - h = 13, 0 = -4*p + h + 19 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -33, 1\/9, -3\/4 in descending order.\nAnswer: 1\/9, -0.2, -3\/4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 65*h. Let c(a) be the second derivative of -a**3\/6 + 48*a. What is c(p(u))?\nAnswer: -65*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 14, y: 5}. What is prob of picking 2 k?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6773352258 to the nearest integer?\nAnswer: 82300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377153971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 15*f**2 - 15*f - 12. Let o be v(-14). Suppose -130 = i - 6*i. Suppose -104 = -o*j - i. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4064 - 4062. What is the closest to 1 in 2\/13, t, 2\/21?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57980.\nAnswer: 2, 5, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-2)*(-70)\/(-315). Sort -4, n, 0, -6.\nAnswer: -6, -4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 75*r + 1208. What is a(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1140.9732 - -0.2268. What is j rounded to the nearest 10?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*8\/6. Suppose -4*t - 12 = 0, -t = -0*x - y*x + 7. Solve 0 = -2*f + 6 + x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -1\/3*y**3 - 13\/2*y**2 + 11 + 4*y. List the prime factors of i(-10).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 53. Suppose -8*m + 0*m = -80. Calculate the smallest common multiple of m and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -15, -8, 15, 60, 133, 240, 387?\n\"Answer: w**3 - w**2 - 7*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - t**2 - t. Suppose -17*f = -3*f + 700. Let z = -35 - f. Let v(x) = 6*x**3 - 5*x**2 - 5*x. Give z*y(i) - 3*v(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0238512 - 0.3419\nAnswer: -0.3657512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147354531.\nAnswer: 3, 49118177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -932, -1333, -1990, -2903, -4072?\nAnswer: -5497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9)*1) + 5 - (sqrt(1053) - ((0 + sqrt(1053))**2 + sqrt(1053)) - (sqrt(91)*2 + sqrt(91) - sqrt(91))\/sqrt(7)).\nAnswer: 3*sqrt(13) + 1058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 426265 and 3325?\nAnswer: 2131325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 365714*b = -365705*b + 105, -4*v + 70 = -2*b for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -248\/3. What is the closest to v in 9, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*g - 22, -3*d + 2*g + 11 = -3. Let h(k) = -k**3 - 9*k**2 - 13*k + 10. What is the remainder when d is divided by h(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-330)\/360 - (-1)\/4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11\/5)*x**(5\/3)*x**1\/x**(-7))**(29\/4) assuming x is positive.\nAnswer: x**(812\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + v - 202 + 29, 4*q - 5*v + 161 = 0. What is the closest to -2 in 5, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 + 183*n + 2160 = 0.\nAnswer: -45, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*z + 11, -11*z = -3*k - 16*z - 26 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.08 + 0.99. Which is the nearest to -1\/2? (a) 3 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 19*b**2 + 13*b + 15. Is o(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -39a8a532?\nAnswer: -39a8a537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -1\/161?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 48*g**3 + 4 + 53*g**3 as p*g + y + v*g**2 + b*g**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -222200 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -22*k**3 - 7*k**2 + 7*k + 9. Let q(h) = 11*h**3 + 3*h**2 - 3*h - 5. Let y(x) = -6*a(x) - 14*q(x). Find the first derivative of y(g) wrt g.\nAnswer: -66*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (164\/5)\/((-19)\/(-95)). What is the highest common divisor of u and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61.6 - -61.6. What is the nearest to f in -8, -2, -1, -5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3984475 is divided by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30949636 divided by 8.\nAnswer: 7737409\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 11 = -16. Is 17 a factor of 56 + u*3\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d*(d**(4\/3)\/d*d)\/d*d*d)\/(d**3*d*d)**16 assuming d is positive.\nAnswer: d**(-224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16700, 17081, 17708, 18587, 19724?\n\"Answer: f**3 + 117*f**2 + 23*f + 16559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 2\/19, -0.5, 3, -418, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5 - 7 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -706, -1010, -1314, -1618, -1922?\n\"Answer: -304*j - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + 112*a - 20. Let g be h(-38). Calculate the greatest common divisor of 1722 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 11) to base 3\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -5\/3, -18.8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -36. Suppose 4*o = 4*z + 5*o - 9, 5*z + 5*o = d. Solve 3*c - 5*f = c + z, -3*c = -5*f - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*-571170.\nAnswer: -47978280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 37\/4, 0.12, -1, 3, -539 in decreasing order.\nAnswer: 37\/4, 3, 1, 0.12, -1, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 8 = -2*y. Let i be (-2 - y\/(-4))*12. Find the third derivative of 4*n**i - 2*n**6 + n**2 + n**2 wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -94.75811 not equal to -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.0596475 times 1\nAnswer: -2.0596475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4992 and 391274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*b + 12. Suppose 0 = 3*z + 4*h - 50, -14 = -z - 2*h + 6. Calculate the greatest common divisor of b and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 + 1 = -4*m, 2*m = -5*h + 6. Let b = 19 - 27. Let w = b + 8.5. What is the smallest value in m, -0.4, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2 + x + 5. Determine g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-2) - 1\/(-2). Let k = -4 + a. Let v(c) = 12*c - 1. Is v(k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89543 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -1506, 54?\nAnswer: -1506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1167*n. Let v(o) = -o. Determine u(v(h)).\nAnswer: -1167*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5872311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*o = 36. Calculate the greatest common factor of 24 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 5*i - 31 + 11 + 13.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79\/1 + (-3)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1465*o**2 + 57*o**3 - 1465*o**2.\nAnswer: 57*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118 or -115?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*y - 1 - 19*y + 6)*(4*y**2 - 6*y + 6*y).\nAnswer: -36*y**3 + 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-4)\/((-6)\/(-3)). Let b(r) = k*r - 6*r - 29*r + 0 - 3. Is b(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 47 = -53. Let m be 65\/10 - x\/4. Sort 3, 1, m in decreasing order.\nAnswer: m, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-24)\/(-3)) + 503\/4 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1030 and -3.\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.99 + 6. Let v = m + -0.05. Let n = v + -0.3. Round n to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*f - 6 = 0, 2*f = 3*a + 4*f - 12. Calculate the remainder when 15 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6180, -8868, -13352, -19632, -27708?\nAnswer: -37580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 2*i + 26*i)*(6*i - i - 18*i).\nAnswer: -390*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 485592 and 21?\nAnswer: 3399144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c = 4*d + 17*c - 26, 0 = 3*d + 5*c - 79 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568 - 160 = 6*d. Let r = d - 65. Suppose 1569 = 2*c - y, 0*c + r*c - 5*y - 2336 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 343.4 - 343. Let x be (-6 + 1)\/((-18)\/(-3)). Which is the closest to -0.1? (a) -1\/3 (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -93, -128, -145, -138, -101, -28?\n\"Answer: o**3 - 54*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppk when four letters picked without replacement from {p: 4, k: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.183 - -3.817. What is the third biggest value in 0.3, s, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**7\/21 - 4*g**6\/15 - 2*g**5\/5 + g**4\/3 + 5*g**3\/3 + 2*g**2 - 13*g + 2. Determine f, given that v(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 15*u + 144 = 0. Solve 0 = u*b + 5 + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*v = -26, -6*v = 5*h - 2*v - 25. Let q(u) = 816*u - 2427. Let w be q(3). Calculate the greatest common divisor of h and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 49*f**2 + 2699*f - 576. Give u(-82).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.63 minus -0.4?\nAnswer: 31.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-186)\/(-26) - (-131)\/((-56199)\/(-66))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*j**3 + 68*j**2 + 99426\/13*j + 383688\/13.\nAnswer: 2*(j + 4)*(j + 219)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/7, 1.193, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 16*j - 80. Let g(q) = 4*q**2 + 18*q + 95. Let v(d) = -5*g(d) - 6*w(d). Let b(r) = -15*r**2 + 11*r + 9. Determine -6*b(i) + 11*v(i).\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -78 - -5?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1357042, -1357056, -1357070, -1357084, -1357098, -1357112?\nAnswer: -1357126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 8 = 8*q. Suppose 0*l - q*l + 16 = 0. Suppose -f + l = 2*c, 0 = -4*f + 5*f + 3*c - 2. Solve 4*n = -3*v + 28, 0 = -3*n + 6*n + f*v - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 2:18 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 19.\nAnswer: 23\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -3\/2, -0.2, 0.117, 11, -1.37?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/13? (a) -0.009 (b) 1\/752 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -174.581001 and -0.012?\nAnswer: 174.569001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7446 divided by 44\nAnswer: -3723\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -232\/220949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 267. Let t be w(0). Let u = -390 - t. Let z = 177 + u. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130\/52 - (-58113)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7441\/36 - 1)\/((-58734)\/(-516)). Let q = j - -4\/6777. Find the common denominator of -39\/16 and q.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f*i*w + 1638*f*i + 17*f*w - 4*i**3*w - 61*i**3 + i*w + 6*w wrt w?\nAnswer: -f*i + 17*f - 4*i**3 + i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 598*k - 129670. What is h(169)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -22700000 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993520196?\nAnswer: 2, 248380049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3 + 5. Let s(h) = -h**2 + 6*h - 4. Let b be s(3). Solve b*f + 7 = -n - 10, -g*n + 18 = -3*f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*w - 5*k - 42, 3*w - 2*k - 81 = 0. Let r(s) = -2*s + 87. Let u be r(37). Suppose -u + 64 = 3*p. Calculate the remainder when w is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5*t + 77, -113*t + 114*t + 25 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4991.\nAnswer: 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -359092.1.\nAnswer: -359085.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -111210112000 (base 3) to base 16\nAnswer: -424ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 778398594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.03 or 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, 0, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 5*k)*(1 - 2 + 49*k - 13*k).\nAnswer: 72*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 71*b - 14745. Let z be k(-162). Let a = -5 - -3. Put -10, z, a in descending order.\nAnswer: a, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**2 - 2*z**2 + z**2)*(2 + 1 - 5) + 1780394 - 835*z - 1780399 - z**2 + 109*z to the form b + k*z**2 + s*z and give s.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 2*o**2 - 4. Let w(u) = u - 1. Let y be w(-8). Let t be y\/12 - (-3)\/4. Let a(p) = p**3 + p**2 + p + 3. Let f be a(t). What is h(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -f - 4*f + 2, 0 = w + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 359.3 + -68.3. Let z = -291.183 + x. What is z rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*w + 325 = -85*w - 865 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21032 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37976719.37692 and 12.\nAnswer: 37976731.37692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 11 = 2*t, -30*k + 31*k - 3 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j - 2*j**2 + 0*j**4 - 2*j**4 + 16*j + 10*j**3 to l*j**3 + f*j + m + r*j**4 + s*j**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12003, -9273, -6543, -3813, -1083?\n\"Answer: 2730*p - 14733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a - -1?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 6*y - 6 = 0, -m + y - 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 38. Let x = -17.0273 + 0.0273. Let i = s + x. Which is the second smallest value? (a) i (b) 0.2 (c) -0.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 20*s - 23. Let c = 2423 + -2404. Give k(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 32 = 3*l, 4*l + 2 = -2*m + 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 6*v**2 + 19*v - 79. Let f be b(7). Let d be (-10*3\/6)\/f. Sort -6, d, 25 in descending order.\nAnswer: 25, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-84)*0\/(4\/(84\/21)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.022 - -3.278. Let k = -7.8 + s. Let c = k - 0.5. What is the second biggest value in c, 10, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 12\/30)*1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4162653m in nanometers?\nAnswer: 416265300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + j**2 - 6*j**2)*(3*j - 3*j - 2*j**2 + (-j + 2*j + 0*j)*(2 - 2 - 2*j) + j**2 + j**2 - 4*j**2) to o + q*j**4 + y*j**3 + a*j**2 + v*j and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-13*(-68)\/3315)\/((-52)\/10)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176491 is divided by 179?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a millennium?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8222 - 8217. Solve 3*b - a*h = -35, 2*b + 12*h - 17*h = -30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -12. Suppose t = w - 2. Solve 0 = -2*k - 4*o - 16, -w*k + 3 = -o - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 <= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -273, -494, -691, -858, -989, -1078?\n\"Answer: w**3 + 3*w**2 - 255*w + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/2)\/1*(-1782)\/6237.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*x**3 + 130*x**3 + 34*x**2 - 33*x**2 - 5 + 5 - x**3 + (-x - x + 5*x)*(0*x**2 + x**2 - 4*x**2).\nAnswer: 141*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32604989?\nAnswer: 953, 34213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7995 divided by 533?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + q**2 + q**3 + (2 + 1 - 2)*(7*q**3 - 3*q**3 - 2*q**3) - 1073*q**3 - q + q - 2956*q**3.\nAnswer: -4026*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-40)*q)\/q**(4\/17))**(-3\/7) assuming q is positive.\nAnswer: q**(1950\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/14)*l**29*l*l\/l**(-13\/2)*l*l\/l**(1\/14) assuming l is positive.\nAnswer: l**(551\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*q + 4 - 42. What is the closest to 3\/4 in q, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -172*c**2 - 5007*c - 529. Give m(-29).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/(-90) + (-1607)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s**2. Let x(g) = 5*g + 4. Let z(r) = -6*r - 5. Let w(y) = -5*x(y) - 4*z(y). Determine h(w(j)).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127984 + 13*a**3 - 3*a**3 - 63994 - 63990.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37322\/33097 + 4\/1439. Let f = p + 205\/368. Let s = 31\/9 + -223\/36. Calculate the common denominator of s and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30467125280867 - 3*k - 30467125280867.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + j**2 - 9 - 5*j**2.\nAnswer: -4*j**2 - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*s = 1870, -s = -3*j - j + 7516. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 9:59 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.0216? (a) -0.19 (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Calculate the remainder when 5 is divided by -3*x\/(-6)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/58608 and -155\/39072.\nAnswer: 117216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = v - 112 - 93, -v + 211 = s. Calculate the least common multiple of v and 16.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 7, p: 5, j: 3}. Give prob of picking 1 j and 2 l.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2 - 5*s - 24 = 0. What is s?\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-3) + (-2)\/(-6). Solve 1 = -v*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:56 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**4\/5 - 32*g**3\/5 + 628*g**2\/5 - 320*g + 1008\/5 = 0. Calculate g.\nAnswer: -18, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38971, -38967, -38963, -38959, -38955, -38951?\n\"Answer: 4*t - 38975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.17, -0.07, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/2 + 1005*w - 202005\/2.\nAnswer: -5*(w - 201)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193234161?\nAnswer: 7, 170462023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/16 and (-16)\/4 + 13\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68340 (base 11) in base 2?\nAnswer: -11000001001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2329960, 2329973, 2329996, 2330029, 2330072, 2330125?\nAnswer: 2330188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12741627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-13)\/39*2\/(-6)). Suppose 3*x - 97 = 65. Calculate the greatest common divisor of g and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 12*k**2 - 40*k - 12. Give u(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*g - 0. Suppose 3*y = g*m + 3769, -4*y + 2*m = -0*m - 5032. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (35 - (60 - 27)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Let v be y\/(2*(-3)\/(-6)). Let a = -290 - -294. Solve v = -a*r + 2*s, 0 = 4*r - 3*r - 5*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -653\/134 + 360\/67. Are a and 119 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(3\/((-9)\/3)). Suppose 3*o = -4*s - 41, 2*s - o + 1 = -12. Let k = j + s. Solve 2*r + k*r = 0, 25 = -5*f + 5*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 + -51. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*k = -5, 20 = 2*c + 2*c + 4*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 + 2*d + 565 - 278 - 5*d.\nAnswer: -3*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -16818?\nAnswer: 6\/2803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s. Let r(j) = j**2 - j + 1. Let l(m) = -12*m**2 + 10*m - 10. Let g(f) = l(f) + 10*r(f). Give i(g(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -3*w**5\/10 - 2*w. Let k(z) = -z + 9. Let o be k(8). Give h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.2 rounded to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1693, 1925, 2317, 2869, 3581?\n\"Answer: 80*l**2 - 8*l + 1621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*((-2)\/(-3) - 1). Suppose -5*g + 9*g = 0. Is o < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290111193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -15. Solve l + l + 4 = i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 - 2*f + 3. Let q be z(2). Suppose 3*n - 132 = -3*u, 0 = 2*u + 3*n + q - 101. List the prime factors of (-8)\/(-12) - u\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -31*i**3 + i**2 + i. Let f be j(-1). Let c = 29 - f. Which is bigger: -2\/3 or c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - 15. Let l(p) = 3*p + 10. Give -5*a(n) - 7*l(n).\nAnswer: -n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose i*s = -5*y + 39, -s + 5*y = -21 - 6. Suppose -4*h + 3*h = -s. Calculate the greatest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2 - 22. Suppose o*v = 4*m + v - 25, -2*m + 3*v = -15. Solve -8 = -4*p + 6*f - 3*f, -4*p - f - 8 = m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29209 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1261*q. Let m(b) = -177551754 - b + 177551754. What is p(m(j))?\nAnswer: -1261*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11917125 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 7*j**3 + 5*j**3 + (4*j**2 - 2*j**2 - 3*j**2)*(-16 - 15 + 29 - 27*j) in the form i*j**2 + d + a*j + w*j**3 and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -12508.419773 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 0*t)*(0 - t + 0) + 0*t**2 + 2*t**2 - t**2 - t - t**2 + t + (-66*t**2 + 245*t**2 + 55*t**2)*(4 - 2 - 1).\nAnswer: 232*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -4. Suppose -3 = r - f. Solve 0 = 3*i - 4 - r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + 0. Let h = t - 2.03. Let k = 1.8 + h. Which is bigger: 2\/3 or k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.182879 months to years.\nAnswer: 1.34857325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/52 and -111\/3015116?\nAnswer: 3015116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 5*j**4\/12 + 2*j**3\/3 + 231*j. Let d(n) = 2*n**2. Calculate d(r(h)).\nAnswer: 50*h**4 + 80*h**3 + 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 325.2 + -238.83. Sort -4, 4, q in ascending order.\nAnswer: -4, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -9188771\nAnswer: -1\/9188771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 31 (b) -2 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58386 + u + 3*u + 0*u.\nAnswer: 4*u + 58386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1045 + 1051. Let v = -5.47 + 1.47. What is the closest to 4 in v, 3\/8, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -80.89 and -3147?\nAnswer: 3066.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5 + 2*x**2 - 6*x**3 - 3*x**2 - 9 - 7*x + 5 to j + o*x**2 + s*x + r*x**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -4 - 5, 35*k + 92 - 78 = 39*k + 2*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -164, 320, 1212, 2578, 4484?\n\"Answer: 11*r**3 + 138*r**2 - 7*r - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 321411667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**6\/6 - s**5 - 5*s**4\/2 - 10*s**3\/3 - 5*s**2\/2 - 20*s. Factor c(l).\nAnswer: -5*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77627760 to the power of 1\/3, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 x when four letters picked without replacement from xxaxxaxxxaxaaaaxaxax?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -551738923.\nAnswer: -551738935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000350534719 rounded to 6 dps?\nAnswer: 0.000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 11:12 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-752)\/(-50) + ((-2958)\/10200 - 12\/(-48)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (2\/5)\/((-1)\/(-30)). Solve -5 = 4*q + 2*i + 7, -4*q = i + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.874781 centimeters to micrometers.\nAnswer: 58747.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/2 - 41*n**3\/2 + 76*n**2 - 74*n = 0 for n.\nAnswer: 0, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:38 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*f**3 + 217*f**2 - 113*f**2 - 112*f**3 - 104*f**2.\nAnswer: -45*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 9*m**2 - 5*m + 2. Let t be (-18)\/12*14\/(-3). Let z be u(t). Let v = z + 622. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*b - 55, -b - 2*k = -0*b. Suppose -b = -6*c + c. List the prime factors of -122*((-25)\/10 + c).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 - 3*n - 1. Let l be z(5). Let c = -72 + l. Suppose 3*k + 648 = c*k. Is 36 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88507, 177008, 265509, 354010, 442511, 531012?\n\"Answer: 88501*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -4 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 1 + 1)*((1 + 0 + 1)*(-2 + 1 + 0) - 1 + 4 - 7 + 1 - 4 + 2 - 16 + 16 - 25) to the form i*n + l and give i.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45160997452 + 7855.\nAnswer: -45160989597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*(sqrt(24) - (sqrt(24) - sqrt(120)\/sqrt(5))))\/sqrt(4))\/(sqrt(363)*2*-2 - (6*(sqrt(363) - -2*sqrt(363)) - sqrt(363))).\nAnswer: 8*sqrt(2)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 21730 - 67*p - 21738 - 15*p + 18*p in the form t*p + k + d*p**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242610 = -2145*j + 2149*j + 2*i, 2*j + 3*i = 121311. List the prime factors of j.\nAnswer: 3, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1392)\/156 - ((-28)\/26 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2167617 + -72?\nAnswer: -2167700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3726a - -127?\nAnswer: -37143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 + 203. Suppose h*d - 7*d + 3*l - 448 = 0, d = -l + 452. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171534*p**2 - 295935*p**2 + 1259*p**2 + 178068*p**2 - 200015*p**2.\nAnswer: -488157*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -3 (c) -2\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7197\/4 at least -1799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c14ad (base 15) in base 3?\nAnswer: 2120200002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11500 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1232040413 - 300?\nAnswer: -1232041213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20608 and 87475808?\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7649, -15290, -22929, -30566, -38201, -45834, -53465?\nAnswer: -61094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -5382 and -4961 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 423838291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/168388 and -7\/12?\nAnswer: 505164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(11\/55).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**4*u - 7*k**3*u - 3*u + 34 with respect to k.\nAnswer: -8*k**3*u - 21*k**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * 31297.\nAnswer: 751128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22129338 and 228.\nAnswer: 44258676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(10\/11)*(c**(-13)*c)\/c assuming c is positive.\nAnswer: c**(-122\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 289*a. Let p(b) = -29*b. Let h(m) = -51*p(m) - 5*t(m). Let c(o) = 2*o**2. Give c(h(u)).\nAnswer: 2312*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -961*n**3\/2 - 46190*n**2 - 184576*n - 188416.\nAnswer: -(n + 92)*(31*n + 64)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 172451891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 34*h - 81. Let q(m) = -7*m + 16. Determine 2*a(d) + 11*q(d).\nAnswer: -9*d + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -360 + 377. Are 23 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2848398, -2848392, -2848384, -2848374, -2848362?\nAnswer: -2848348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78 + 12*j + 78)*(-3 + 0 + 1)*(2 - 3 + 0) to c*j + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + -159.2. Which is smaller: -0.24 or m?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -9 + 0*x**4 + 3*x + 0*x**2 + 0*x**3 - 9\/5*x**5. Differentiate k(i) wrt i.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 17*z + 57. What is the remainder when y(4) is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 15?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.8043 + 0.7997. Let n = 36 + -3. Let q = z + n. Round q to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g + 0*g)*(3*g - g + g)*(54*g**3 + 21*g**3 + 4*g**3).\nAnswer: -474*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h. Let g(a) be the first derivative of 4*a**3\/3 - 8. Determine g(z(q)).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 23. Let u(x) = -53*x. What is u(h(s))?\nAnswer: 106*s - 1219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a0a (base 13) in base 9?\nAnswer: -18354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g - 3. Let k(b) = -5*b - 2. Let s be (-120)\/100*(-20)\/6. Let y be (114\/95)\/(s\/(-10)). Determine y*p(n) + 4*k(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -20*s. Let j(i) = -27*i. Let m(d) = 4*a(d) - 3*j(d). Let v(b) be the first derivative of 8*b**2 + 2. Calculate m(v(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13647682*v + 4 - 4 + 13647752*v.\nAnswer: 70*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 4 (b) -2\/19 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -472965 + 1?\nAnswer: -472964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71643, 286767, 645319, 1147299, 1792707, 2581543?\n\"Answer: 71714*z**2 - 18*z - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32096591 - 69*w + 2*w**3 + 32096591.\nAnswer: 2*w**3 - 69*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let b(r) be the second derivative of -3*r**3 + 7*r. Determine k(b(c)).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f + 47. Let z be w(-9). What is the hundreds digit of (-918)\/(-24)*z\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*m**2 + 26*m + 385?\nAnswer: -12*m + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-56)*7 + 4. Suppose -105 + 30 = -c*f. Solve 0 = -3*j + f, 37 = -0*d - 3*d + 5*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/(65880\/4392)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -122200?\nAnswer: 122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31078?\nAnswer: 2, 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/3 + 3513*j**3 - 63370*j**2\/3 - 351556*j - 590520 = 0.\nAnswer: -10545, -6, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/4)\/(-28))\/(105\/(-1260)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 1. Let y(k) = k**2 - 25*k + 57. Let l be y(11). Let f = -94 - l. Let x(r) = 0 + 5 - 4 - 2. Give f*x(s) + m(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 2.29 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4 + 18*g**3 - 36*g**2 - 64*g + 192 = 0 for g.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34.2? (a) -3 (b) 6.6 (c) -1\/2 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -818000 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbqbibblibablillba. Give prob of sequence bbiq.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-5) + -7)\/(3\/(-10)). Find the second derivative of -10 + v**5 + 14 + v - w*v**3 + 14*v**3 wrt v.\nAnswer: 20*v**3 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2315, 5, -28 in increasing order.\nAnswer: -2315, -28, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) + -1) + 2)**2 + 4 - (5 + (2 + sqrt(68)*-1 + 4)**2).\nAnswer: -28 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312159 is divided by 156078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w - 7. Let k be o(2). Let r = -3.2 - 0.8. What is the smallest value in -2, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -477 by -55761.\nAnswer: 159\/18587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -14*2155\/(-150) - 8\/60. Let x = m - 97. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.4. Let w = 0 + -1. Let u = 0.023 - 0.323. Which is the biggest value? (a) w (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4236191 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 87. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vysvlhzhzvh. Give prob of sequence sl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5754 + -0.1754. What is the nearest to -3\/2 in -0.4, k, -0.5, 1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*j = -29, 2*j + 2 = -t - 4. Let s(w) = 6*w - 1. What is the units digit of s(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23741 - 131?\nAnswer: 23610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 1006, 1525, 2044?\nAnswer: 2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - b = b - 54, n - 5*b = 35. What is the greatest common divisor of n and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28241148 divided by -830622\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 4106 = 11*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 2*v - 2 + 0*v + (0 + 0 - 2*v)*(4 - 2 - 3) + 0*v + 2*v - v + v + v - v - v + 0 + 0 - 14*v + 17*v - 12*v.\nAnswer: -8*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17537.84514086 + 17446.84514. Let j = 91 + h. What is j rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 1. Let b be z(-4). Let t = -230.4 + 231.4. Put b, -3\/5, 0, t in descending order.\nAnswer: b, t, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.6314, 69?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2144*p**2 + 29*p + 117. Let b(s) = 1070*s**2 - 15*s - 59. Let c(a) = -9*b(a) - 4*l(a). What is the second derivative of c(r) wrt r?\nAnswer: -2108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:43 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 - 3499\/(-28). Let k = 126 - i. Let s be (-2)\/7 + -1 + 1. Sort k, s, 0.5.\nAnswer: s, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5348.2 + 5348.22. Let m = -6\/101 - 469\/606. Which is the closest to -2\/7? (a) x (b) -0.05 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from pdqdmdpdq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/4 - 573629\/(-76)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/6 - q**4\/6 + 5*q**3\/6 + 5*q**2\/6 - 2*q\/3 - 2\/3 = 0. Calculate q.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73*g*o*q**3 - 170*g*q**3 wrt o?\nAnswer: -73*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 3*k**2 - 153*k\/4 - 35.\nAnswer: (k - 20)*(k + 1)*(k + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3.89, -4\/185, -5\/3?\nAnswer: -4\/185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/((-58)\/(-4) - 16))\/(1*10)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) -4.31 (c) -3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 22*m - 12. Determine f(10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 2*j + 8, -5 + 10 = -2*m + j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -10359.3?\nAnswer: -5179.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51, 44, 27, -6, -61?\n\"Answer: -m**3 + m**2 - 3*m + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -36536984.1 to the nearest ten thousand.\nAnswer: -36540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/8)\/(7\/(-658)). Put 1, -3, 0, s in descending order.\nAnswer: s, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l + 8. Calculate s(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 5*w - 4. Let a be i(-6). Suppose -2*u - x - a*x + 4 = 0, 5*u - 31 = 3*x. Solve -14 - 5 = q + u*c, -3*q + c = 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45622, -45636, -45694, -45796?\nAnswer: -45942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19343)\/841)\/(414\/(-2232)).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 64.92. Let v = f - 1.0441. Round v to three dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -750 - -755. Solve -v*j - 13 = -0*j - 3*i, -7 = j - 5*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 9*p**2 - p + 5. Let o(h) = h**3 + 5*h**2 + 3. Give -7*o(b) + 4*v(b).\nAnswer: b**3 + b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1676041 to the nearest 10000.\nAnswer: -1680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28758.16l in millilitres?\nAnswer: 28758160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 45*w - 42. Let x be n(-7). Put 1, 0, -4, -1, x in decreasing order.\nAnswer: 1, 0, -1, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 3*w - 5*w)*(2*w**3 + 0*w**2 + 0*w**2) + 3992 - 2280*w**4 - 3992 as v + p*w**4 + i*w + j*w**2 + c*w**3 and give p.\nAnswer: -2284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 14 = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993566 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 21. Let d = 4 + -2.5. Let k = d - n. What is the smallest value in 1, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54037 or -54013?\nAnswer: -54013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-20)*15\/(-4))\/(66\/176)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 501 = -3*j + 4*i + 432, -2*j - 29*i + 429 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/7 - 23*m**4\/7 + 72*m**3\/7 + 2*m**2\/7 - 170*m\/7 - 75\/7 = 0.\nAnswer: -1, -1\/2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 1:52 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(78) + (-4*sqrt(78) - sqrt(78)) + sqrt(78)) + sqrt(78))\/(-1*sqrt(150)) + 2.\nAnswer: -2*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6999 + -7105. Sort -4, i, -2 in descending order.\nAnswer: -2, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) -81.58 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -82. Let m(n) = -2*n**2 + 34*n - 73. Let f be m(12). Let j = f - r. Solve -4*y + j - 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z + 5\/3*z**3 - 1\/2*z**5 + 1\/6*z**6 + 11 + 0*z**2 - 5\/12*z**4. Factor w(b).\nAnswer: 5*b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/4 - 10*u**3\/3 - u**2. Let s be d(-7). Suppose -20*m = -s*m + 80. Calculate the remainder when m is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -6. Let f = u - -135. Calculate the highest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2623099 divided by 1\nAnswer: -2623099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -50, -83, -118, -155, -194?\n\"Answer: -r**2 - 28*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 13*j + 111. Let d be p(0). Does 18 divide 3 + d\/(-39) - 18680\/(-260)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-9)\/(-30))\/(1\/2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 10. Let r(o) = 2*o + 11. Give 3*p(m) + 4*r(m).\nAnswer: -m + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 4*l = -24, -w - 1 = 4*l. Let j = 8 + w. What is the units digit of 1*j*(-15)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*q**2*v**3 + 397*a**3*q**2*v**2 + 2*a**3*q*v**3 + a**2*q*v**3 - a*q*v**2 - 7*v**3 wrt q?\nAnswer: -2*a**3*v**3 + 794*a**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/4 + (-2 - (-3)\/2). Let j(s) = -13*s - a - 15*s - 13*s + 37*s. Determine j(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -4. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*a**3 + 4376*a**2 - 25320*a.\nAnswer: -2*a*(a - 6)*(13*a - 2110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59484 by 14871.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -27*a - 34 + 64*a + 72 - 34*a. Let d(t) = -9*t. Calculate z(d(g)).\nAnswer: -27*g + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 + 14 + 2. Let l = z - 9. Suppose 0 = -g + 4*u + 15, 5*u = g - l*g - 25. Which is the closest to -2? (a) -5 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 67*w + 59*w - 117*w. Let g(u) = -87*u**2. What is g(x(o))?\nAnswer: -7047*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449151 divided by 37.\nAnswer: -449151\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 594 + -212. Round h to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 62128080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 612.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + -2. List the prime factors of (s\/27)\/(2\/(-33)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 i, and 1 k when three letters picked without replacement from {t: 2, i: 1, k: 1, q: 4, a: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -640 + -3b3d?\nAnswer: -437d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 0. Let b(n) = -n**3 + n**2 + n - 4. What is b(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 9:29 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 942137675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10950.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Suppose 0 = 2*h - 4*h - m. Let r(v) = 3*v. Let u(a) = 7*a - 1. Let b(x) = -9*r(x) + 4*u(x). Let g(c) = 1. Determine h*b(s) - 5*g(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i. Let v(n) = -2*n. Let p(h) = 6*v(h) - 2*z(h). Let o(t) = -11*t + 11. Let a(f) = 5*f - 6. Let u(b) = 11*a(b) + 6*o(b). Determine u(p(q)).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwu when three letters picked without replacement from {n: 7, w: 2, u: 9}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158939781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 951113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 9. Suppose 3*m - 2*m = -9. Let f be m\/(-2) - 2\/(-4). Solve f*k + o = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0454281 to three decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 20, 2\/9, -8, -17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*j - 2571 = -2285 + 2294 for j.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 5\/10)*74840\/(-15) - 3?\nAnswer: 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140987.\nAnswer: 7, 11, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 - 49. Let u = 2 - -16. What is the highest common divisor of u and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -14) + -1 + -1. Suppose -3*n + 9 = -2*n - 4*t, 4*n + a*t = 57. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4530 + 4634. What is the highest common divisor of 3068 and o?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/(1360\/(-12))*(-2)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1585 - -30186. Does 37 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - 39?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 32322113 (base 4) to base 10\nAnswer: 61079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.108 and 0.0158224857.\nAnswer: 0.1238224857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10. Let t(r) = r + 7. Let o be t(n). Find the third derivative of -j**6 + o*j**6 + 0*j**6 - j**2 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwmm when four letters picked without replacement from ywmmmlwyghmmmmh.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45939797 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 + 4.836774.\nAnswer: 5.056774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -31*p**6\/3 + p**2\/2 + 16*p + 44. What is the second derivative of o(d) wrt d?\nAnswer: -1240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 20725 + 5653. List the prime factors of h.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 - -1.21. Let h = 0 - -1. Let m = u + h. What is the smallest value in 1, -2\/5, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-2)\/((-8)\/6). Let k(v) = -5*v**3 - 6*v**2 + 12*v - 4. Let x(i) = 11*i**3 + 12*i**2 - 27*i + 9. Let g(b) = 9*k(b) + 4*x(b). Calculate g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49703, 49709, 49715?\n\"Answer: 6*j + 49697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*j + 10, -10 + 5 = 3*j - l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -24, 5, 2\/23, 1\/45 in ascending order.\nAnswer: -24, 1\/45, 2\/23, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 4) to base 6\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 44*r - 464 = 0. What is the remainder when r is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 78, 230, 526, 1014, 1742, 2758, 4110?\nAnswer: 5846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(sqrt(162) - sqrt(162)*1))\/(sqrt(42)\/(sqrt(14)\/(2*sqrt(2)))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 5:08 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 - 4 = 0. Let v be 0 - 1*(-2 - b). What is the derivative of -1 + 3*t + 2 + v wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3144678 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 253 = 5*z. Let h = 10 + -39. Let s = z + h. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yep when three letters picked without replacement from {h: 3, g: 1, e: 2, p: 3, y: 2, i: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d + 5*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/329 (b) -2\/9 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a factor of 29064090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*i - 4114 = 136*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, i: 6, p: 3, u: 3}. Give prob of sequence piu.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 248731*q**2\/3 + 121202120*q\/3 + 14779395248\/3.\nAnswer: (q + 244)**2*(q + 248243)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12\/70)\/((-41)\/287)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*2*sqrt(108)*-5)**2)*-3.\nAnswer: -518391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80045 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -76, -114, -152?\n\"Answer: -38*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + ((-16)\/2 - -13) - (-3 + 1). Solve -51*j = -a*j - 172 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 4482.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5809 at most -5808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-4))\/((-78)\/18*(-159)\/1378)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - (1 + (-8)\/5)*5. Suppose -12*r - 10 = -17*r. Suppose -3*z = -5 - 7. Solve s - 4*w = b, 3*s + 9 = -z*w + r*w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 202*l**2 + 4890*l + 9. Give u(-61).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2326.974 months to millennia.\nAnswer: 0.1939145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*q + 25. Suppose -q = -3*m - 2*m. Solve 4*l + 8 = -2*d + 4*d, m*l + 8 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24\/163 + 259\/652. What is the nearest to -0.2 in -1\/9, 2\/5, g, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0 - 18 - -20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 14*c**2 - 32*c + 19. Let a be x(16). What is the highest common divisor of a and 2033?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = -596*j + 611*j. What is the highest common divisor of j and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 102?\nAnswer: 102.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 156. Let n(i) = 4*i - 157. Determine 2*n(q) + 3*w(q).\nAnswer: -q + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p - 10*p + 85*p**3 - 44*p**3 - 45*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**9\/3528 - l**8\/1176 + l**7\/1470 + 9*l**3 - 37. Let o(f) be the third derivative of t(f). Factor o(x).\nAnswer: 2*x**3*(x - 1)*(3*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1434511 - -530?\nAnswer: 1435441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 2. Let z be c(-2). Is (-22)\/33 + (154113\/9 - z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*n**4 + 2*n**3 + 8*n**2 - 2834*n wrt n?\nAnswer: 1356*n**2 + 12*n + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -230, -344?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8506*l + 324. Let g(c) = -76*c. What is g(q(o))?\nAnswer: 646456*o - 24624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1218 and 101528910?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjjyvvvjjjmjjjjjyjv. What is prob of picking 1 m and 1 y?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -96999 - 99?\nAnswer: -96a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 3*y**2 + 6*y - 6. Let p be c(4). Let s be 3*1\/3 + p. Solve 2*i - 2*z + 10 = 0, s*i + 2*z + 17 = 6*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 1 - 1 + ((5 - 1 - 3)*(w + 1 - 1) - 2*w + w + 3*w - 4 + 14*w + 4)*(-w + 4*w - w) in the form s + k*w + r*w**2 and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62439.8 grams in milligrams?\nAnswer: 62439800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (924\/88)\/(6\/(-8))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 5*f - 3*f + 35*f - 46*f + 16*f + 9 + (-5*f - f + 5*f)*(1 - 1 - 1).\nAnswer: 4*f + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3026\/5 - 606. Let i = 56 + -30. Let a = i - 22. What is the second biggest value in -0.5, o, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 95589*n**2. Let f be m(1). Let t = -94411 - f. What is t rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 33. Let s = i - -16. Solve -d - 6 = 4*o - o, s = -2*o + 4*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149354329, -149354328, -149354327, -149354326, -149354325, -149354324?\nAnswer: -149354323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-5 + 5\/2). Let i be (-30)\/(-8)*(-2)\/(-42)*7. Factor -c + 3\/4*j**2 - i*j.\nAnswer: (j - 2)*(3*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/1 - -3) + 2. Let i be f\/4*(-2 + 12). Suppose i = 5*x + 4*h, 5*x - 2*h = 2*x - 7. What is the second smallest value in 4, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 1. Let b(z) = -z - 1. Let y(t) = b(t) + 2*x(t). Let n = 24 + -19. Give y(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.8397 to 2 dps.\nAnswer: 6.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*j = 4191 - 23301 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 220*u**3 + 2550*u**2 - 4460*u + 2125.\nAnswer: 5*(u - 25)*(u - 17)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, -124, -276, -558, -1012?\n\"Answer: -7*g**3 - 2*g**2 - 9*g - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30094.000022291 + 30094. What is l rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0146278196 rounded to five dps?\nAnswer: 0.01463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140 - -280. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 152088023?\nAnswer: 152088032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*w - 29*w + 6. Let l = -2241 + 1992. Put l, w, -5 in decreasing order.\nAnswer: w, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/((-147)\/(-84)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 4*m**2 - 6*m + 5. Suppose -a = -3*d - 1 + 11, 2 = -d + 3*a. Calculate z(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 35*z**2 - 55*z - 25.\nAnswer: -5*(z + 1)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4879 is divided by 235.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 3:18 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 2004242?\nAnswer: -2004244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426568 (base 10) to base 9.\nAnswer: -720124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u - 171 = -4461. What is the remainder when u is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 2, 2.9, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - b + 4*b to o + w*b and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1233903290 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {r: 7, c: 1, o: 4, m: 2, k: 6}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**(-17)))\/h**(-2\/3) assuming h is positive.\nAnswer: h**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1254 to the nearest 10.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26527?\nAnswer: 41, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/60 - x**4\/8 + x**3\/2 + 2*x**2. Calculate i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*y**2 - 46*y**2 - 9*y**2 - 27*y**2 - 9*y**2)*(29 + 11 - 6)*(0*y + 0*y + y) in the form x*y**3 + a + p*y + b*y**2 and give x.\nAnswer: -2890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 350 + -3262. Let w be l\/44 - (-4)\/22. Let z = -46 - w. Solve -4*j + 5*a = j - z, 3*a + 13 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(2*(-4)\/80)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 504411 a multiple of 383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 13 + 7 = 0. Does 13 divide 2\/(-5) + 117\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 174, 180, 194, 222, 270, 344, 450, 594?\n\"Answer: t**3 - 2*t**2 + 5*t + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1) + (-455)\/(-7). Let g be ((-28)\/(-6))\/((-6)\/(-63)). Let k = g - 23. Calculate the highest common divisor of m and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -1, -212, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from yljllbylbbelbllelecj.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s - 12 = 0, -23 = -b + 5*s. Solve 0 = 6*l - b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**2 - 23*j**3 - 6*j**4 + 46*j**3 + 4*j**4 - 17*j**3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 7542.\nAnswer: 2\/3771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5702 smaller than 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5507.578 - 5508. Put 2\/7, h, 0, 0.2, -0.5 in descending order.\nAnswer: 2\/7, 0.2, 0, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -25*h. Let o be w(-2). Suppose 515 = 5*i - o. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176 is divided by 320?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4067\/13 + 313. Sort -4, n, 1, -2 in ascending order.\nAnswer: -4, -2, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 9*i**2 - i + 14. Suppose -78 = 14*o + 34. Let v be p(o). Let z = v - -98. What is the smallest common multiple of z and 11?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukzlf. What is prob of picking 1 k and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(3 - 2 - 3). Suppose -3*d = 5*f - 0 - y, f = -5*d + 14. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, c: 2, p: 1, n: 2, j: 4, m: 4}. What is prob of sequence bjp?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-13)\/(-10)*-2. Let g be (-58)\/6 + (-4)\/(-6). Let u be (6\/g)\/((-4)\/6). Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -3 + 0 + (-15 + 6 - -12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 623, 40, -3, 19.\nAnswer: -3, 19, 40, 623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - k - 1. Let p be -3*1*(-2)\/(-6). Let q(c) be the third derivative of -c**5\/60 + c**4\/24 + c**3\/6 - 29*c**2. Calculate p*q(z) - 2*h(z).\nAnswer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - s + 5, -4*i + i - 3 = 3*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16957.0012973 - 16957. What is u rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780.85 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 42, -1, 1 in decreasing order.\nAnswer: 42, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**0*j*j**(3\/8)*(j**5\/j)\/j**6 assuming j is positive.\nAnswer: j**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 199586222 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.24 + 55.24. Let g = -28 - y. Let h = -82.9966 - g. Round h to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147c630 (base 13) to base 14\nAnswer: c231c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 1508?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Let t(l) be the third derivative of -17*l**7\/5040 - 41*l**5\/60 + 102*l**2. Let h(k) be the third derivative of t(k). Give r(h(j)).\nAnswer: 578*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14560\/1280 - (77\/504 + (-4)\/(-18))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112376859 and 47.\nAnswer: 112376859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30265472 to the nearest integer?\nAnswer: 5501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-425)\/77 - ((-40)\/(-70) + -1) and ((-4)\/16)\/(7\/4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.5 less than 0.4?\nAnswer: -84.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 344522320?\nAnswer: -344522321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 4:50 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {j: 1, q: 3, m: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:28 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -19786.1 to the nearest one hundred.\nAnswer: -19800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 1\/3 (b) -0.4 (c) -104621\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.31, -3.968, 5 in descending order.\nAnswer: 5, -1.31, -3.968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1729851.\nAnswer: 5189553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/(-11760) + (-127948)\/3045.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -5*i**4\/12 - 5*i**3\/3 + 15*i**2\/2 - 15*i + 3. Let k(x) be the first derivative of p(x). Factor k(q).\nAnswer: -5*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 1:05 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(sqrt(1584) - (-2*sqrt(1584)*-5)**2) + (4 + sqrt(99))*-6*-5).\nAnswer: -950040 + 342*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + -13 + 14 + 29?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3033233413 - 0?\nAnswer: -3033233413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 43*t + 349. Calculate o(42).\nAnswer: 2071","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2303134 or -7.4?\nAnswer: 0.2303134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a - 14. Let l(n) = -n - 1. Suppose -11*g - 8 + 35 - 5 = 0. Determine g*s(r) - 28*l(r).\nAnswer: 44*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4106242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 2, i: 1, l: 1, s: 1, o: 1}. What is prob of picking 1 l and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhahuucxuua. What is prob of sequence hchh?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4946, -8170, -11394, -14618, -17842, -21066?\nAnswer: -24290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 10. Suppose -x = -u*x. Suppose x*j + 8 = 4*j, -2*q + 2*j = -54. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 2*z + 2. Let f be b(-2). Suppose -6*q + 3*q + f = 0. Calculate the smallest common multiple of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 30 - 33 = -27, 12*o - 92 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/539 - -16\/49. Let x be (-1 - -4) + (1 - 3). Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352.47892 rounded to the nearest integer?\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1560.17154.\nAnswer: -1563.17154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-293)\/(52447\/24344))\/(4*-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 520 - 519. Let b be y\/2 - (94\/12 - 8). Is -1\/18 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314 + 8 = 322*y. Suppose -3*s + 2*x = -8, 2*x + 3*x + 3 = -s. Sort s, -2, y in descending order.\nAnswer: s, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/8)\/(n\/(n*n**(2\/19)))*(n**(-1))**15*n\/n**(-2\/9)*n*n\/(n**(-2\/5)*n)*((n**(-2\/7)*n)\/n*n*n)\/(n*n**(-1\/4)) assuming n is positive.\nAnswer: n**(-535453\/47880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**5\/60 + p**4\/24 + 3*p**3 - 36*p**2 + 3*p - 21. Let w(k) be the first derivative of j(k). What is w(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.25 - -16.5. Put 0.5, w, -0.2 in ascending order.\nAnswer: -0.2, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -1. Let g = -2 + r. Let t = g - -3.999976. What is t rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g - 108 = 0. Let z(b) = 6*b**2 + 2*b. Calculate the smallest common multiple of (2 + -17)\/(g\/96) and z(2).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.0266.\nAnswer: 0.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let k be y\/(-2)*-1*-26. Let x = -1887 - -1889. Solve z - 3*f = -4*z, k = z + x*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 492209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46757 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -26*f + 20. Let k(m) = -2*m - 1. Let c(n) = a(n) - 3*k(n). Let u(z) = -7*z + 8. Calculate 6*c(t) - 17*u(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/18 or 0?\nAnswer: 17\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, x: 2}. What is prob of sequence xoo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 663256128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3950 - 2845?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 607, -5, 0, -2, -4 in descending order.\nAnswer: 607, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/72863 and -54\/72863.\nAnswer: 72863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 7802425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -62, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 2:46 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n**3 - 3*n**2 + 3*n + 1. Let r(p) = -p**3 - p**2 + p + 1. Determine -l(m) + 3*r(m).\nAnswer: -11*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39067279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 - 77. Let g = -20 + h. Let o = g + -42.0000092. What is o rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -56, -51, -30, 13, 84, 189, 334?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164.64 - 171. Let i = 6.6 + k. Let y = i + -1.08. What is y rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66130\/(-218229))\/((-3)\/(-81)*-5)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5bb (base 13) in base 4?\nAnswer: -33213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*g + 52 + 8, 0 = -g - 3*f + 30. Let z(n) = 3*n + 7. Let l be z(0). Calculate the highest common divisor of l and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1431 (base 5) to base 2.\nAnswer: 11110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 29\/2 of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*u + 1729, 0 = -12*u + 9*u + 9. What are the prime factors of a?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*w + 14*w = 14*w - 920 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9129 divided by -3.\nAnswer: -3043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.752 and -8751989497.\nAnswer: -8751989497.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29245 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6212.04392 - -6312.0439286. Let v = a + -100. What is v rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 82 - s + s**3 - s**3 + 0*s + s**3. Is 27 a factor of w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*g - 4 = -v, 2*v - 3*g + 2 = 0. Let k(m) = 71 - 10*m + 34 + 43 - 16*m + 8*m. Let o be k(8). Which is the closest to v? (a) o (b) -1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6572117*c**3 - 10*c**2 + 129140229*c.\nAnswer: 39432702*c - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - g + 1. Let v(p) = -13 + 7*p + 19 + 6*p**2 - 13. Let k(y) = -y**3 - 19*y**2 + 21*y + 18. Let j be k(-20). Calculate j*v(s) - 14*o(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*p + 24 = 0, 2*v - 3*v - 21 = 3*p. Let s be 2\/(-6)*(v - -3)*2. Suppose -35 = -g - 3*x, -s*g - 5*x = -171 + 45. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-280)\/16 + (-3)\/2. Let k = o + 20. Let w = k + 2. Solve 0 = w*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Suppose -c = -7*n + 6*n. Let b(d) = d + 2*d - n - 2*d + 5. Calculate b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8913497?\nAnswer: 8913497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 5:23 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0*f**4 - 79*f**2 + 5\/6*f**3 + 0 + 0*f - 1\/20*f**5. Let h(i) = 2*i**2. Determine h(o(q)).\nAnswer: 18*q**4 - 60*q**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.003 rounded to 1 decimal place?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Suppose t*u + w - 10 = 0, 3*u - 6*u = 5*w - 22. Suppose 4 = u*v - 4. Solve 3*o + 2 = -0*b - 5*b, 2*o + 3*b = -v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 0.1 (c) 10 (d) 3 (e) 2\/3 (f) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/11324703 and -139\/161820?\nAnswer: 679482180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511201680.\nAnswer: 2, 5, 13, 239, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 1291 + 2*p + 3*p**4 - 6*p**4 - 1228 + p**3 to the form h*p**4 + l + k*p**3 + d*p**2 + f*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(3*x - 5*x + 3*x)*(1 + 0 - 3*x**2 + 6*x**2).\nAnswer: 3*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-9))\/(-7 - 2397\/(-342)). What is the highest common factor of 57 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 700*h**2 - 1250*h - 17840505 wrt h.\nAnswer: 1400*h - 1250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1167773 - 1167786.00073. Let n = -13 - x. Round n to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181995 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 769040355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**6\/30 + 99*k**5\/5 + 197*k**4\/2 + 590*k**3\/3 + 393*k**2\/2 + 122*k + 9. Factor t(z).\nAnswer: (z + 1)**3*(z + 393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -175745, -351555, -527365, -703175, -878985, -1054795?\n\"Answer: -175810*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*p + 427*p - 79*p + 9058 = -1124*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v)**(3\/32)*v**3*v*v*v**(-2))\/((v**(-2)\/v**6)\/(v**(-2\/5)\/(v\/(v\/v**(-4))))) assuming v is positive.\nAnswer: v**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -38. Suppose 0 = -3*f + 2*f - 1. Let l be f + -2 + 0 + 0. Which is the nearest to l? (a) -3 (b) 1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -b + 4*m + 8, 3*m = 5*b - 64. Let j = -13306 + 13308. What is the third derivative of -57*p**6 - 2*p**j + 27*p**6 - b*p**2 wrt p?\nAnswer: -3600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 15 = -11*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 6*b + 385. Let x = b - 382\/5. Sort x, -0.2, 0.3.\nAnswer: -0.2, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 72. Let c = d + -34.000165. Round c to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2\/8*(467 - (-25 + 16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 1:33 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 33 = 46 - 97 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6816 in 5\/2, 5, 172?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 37*s**4 + 5*s + 29. Let t(d) = -d**4 + d - 1. Let u(p) = b(p) - 5*t(p). Differentiate u(j) wrt j.\nAnswer: 168*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.91 take away -280?\nAnswer: 281.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 513156329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2359320?\nAnswer: 2, 3, 5, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30656273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 6*t, 10*r + 5*t + 69 = 13*r. What is the least common multiple of r and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*23*(-1)\/3. Suppose 2*z = 4*x + 12, b = 5*z + 4*x + 7. Suppose 16 = -z*w + 84. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -107. Let v = -3735 + 3693. Let y = v + i. Solve y*m + 1 = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/12)\/(-2)*9\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**2\/2 - f + 2142. Suppose 12 = -3*j - 3. What is n(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/71, 0.3, 3, 4\/5 in increasing order.\nAnswer: 6\/71, 0.3, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 14 + 2. Suppose 5*b - 92 = -m - 0*b, 0 = b + n. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 3846500?\nAnswer: -3\/384650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 20, 0 = 2*a + 4*i - 22. Does 8 divide 3*a - (4 + -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 100111101?\nAnswer: -100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c = -9*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 + 10*r**4 - 15*r**3 - 20*r**2 + 20*r = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, e: 5, k: 6}. What is prob of picking 1 e and 3 k?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 equal to 109242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - k = 1 - 17, 0 = 3*r + 5*k + 8. Suppose 216 = -r*q + 8*q. Let y be 0 + -1 + 3\/(q\/(-12)). Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*a + 1058*a - 110*a + 654 wrt a?\nAnswer: 926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 328 = 10*n. Let k = n - -151. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 22*b. Let v be g(1). Suppose 2*p + v = 2*c - c, 5*c - 135 = 5*p. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-54) + 200\/(-9). Which is smaller: s or -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 - 13056*k\/11 + 1386720\/11.\nAnswer: 2*(k - 6420)*(k - 108)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824989937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858*h = -863*h + 45. Solve -4420*g + 4419*g = h for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 15*r**2 - 9*r + 26. Let d be o(-14). Does 4 divide 1\/3 + 6 + d\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p + 3. Let h(q) be the second derivative of 11*q**3\/6 - 9*q**2\/2 + 4*q. Let a(c) = -17*d(c) - 6*h(c). Determine a(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5398510 rounded to the nearest ten thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 27*j**2 - 64. Is l(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, -27, -7, 2\/117 in ascending order.\nAnswer: -27, -7, -4, 0, 2\/117, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*o = -67*o - 395. What is the first derivative of 15*h**2 - 25*h + 25*h + o + 19*h**2 wrt h?\nAnswer: 68*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(121) - sqrt(121))*-3 + (2*sqrt(121) - sqrt(121))*-3)\/((-1*sqrt(495))\/sqrt(5)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 26. Let p(i) = 0*i + u + 4*i - 2*i - 3*i. What is p(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*v - 308 = -70*v - 56*v for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3 + 3786*l**2 + 7580*l = 0.\nAnswer: -2, 0, 1895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**3 - 6*p**3 + 5*p**4 + (-39 + 32 - 23 - 2*p)*(-3*p + p - p)*(-3*p**2 - 3*p**2 + 3*p**2).\nAnswer: -13*p**4 - 270*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12562 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 569424 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313103010 (base 4) in base 2?\nAnswer: 110111010011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 322166?\nAnswer: 322166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 6024.\nAnswer: 174696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33, 39, 49, 63, 81, 103, 129?\n\"Answer: 2*f**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1755.313 and -16.\nAnswer: 28085.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g - 110*g = -18216. What is the highest common divisor of g and 2576?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -o - 3*o. Let f(m) = -m**2 + 18*m - 3. Let z be f(o). Let w = z + -63. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 829520.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*p + 1650 = -45*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 626 divide 4075053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -94 and -369.3?\nAnswer: 34714.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/78)\/(5456\/(-12896)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-15)\/(-21) - (-4)\/(-14). Let w be 4 + (3 - (-3)\/j). Suppose 4*f + f + m = 854, w*f = 4*m + 688. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/23 + (-741300)\/40595\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 43. Calculate the remainder when 56 is divided by 3\/m*1\/((-1)\/38).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2*(-33)\/22. Which is the third smallest value? (a) l (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpjphhp. What is prob of picking 2 h and 1 p?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.03 - 556.03. Let o = c + 363. Let n = o + 188.119. What is n rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 1. What is the common denominator of -55\/8 and 6\/b*(-104)\/(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvv. Give prob of sequence vb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1162 divided by 581\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from fxxfbxfxaxxxf.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6870?\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -12388659?\nAnswer: -12388662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 4*t + 16. Let r be a(3). Let y be -1 + 1 + -1 + 17. Suppose 0 = 3*f - 5*d + r, 0 = 5*f + 2*d - 46 + y. Solve -2*q + 10 = -f*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-264)*(-144)\/8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 606.5876kg?\nAnswer: 606587600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 1. Let z be w(-1). Suppose 34*j - 38*j - 72000 = z. What is j rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 413 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 4, 7\/4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = 4*w. Suppose k = -w*k + 15. Suppose 4*h + 0*h - 15 = -x, 2*h = -5*x + k. Let c(r) = -3*r + 1. Give c(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 55. Calculate r(15).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1*sqrt(1452) + -5 + (sqrt(1452) - ((sqrt(1452) + -2)*1 + sqrt(1452))))*-2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (2 - 12\/4). Let d be 3*(h - 68\/84). Which is the third biggest value? (a) -4 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76930565?\nAnswer: 5, 109, 141157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1424667 (base 8) to base 9\nAnswer: -675032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:51 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o. Let m(i) be the first derivative of -7*i**2\/2 + 814. What is a(m(t))?\nAnswer: 91*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/15 - 2\/3. Let q(c) = 3*c**3 - c**2 + c. Let g be q(1). Suppose -3*j = -r + g - 2, 0 = -r - 2*j - 4. What is the third smallest value in p, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 0 - 2 - 14\/(-2). Let j(o) = -3*o + 4. Let m(k) = -3*k + 4. Let g(u) = 6*j(u) - 7*m(u). Is g(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 2:20 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -0.7. Which is the nearest to f? (a) -15 (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1612500*p**3. Let n be i(-2). What is n rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**2 - 2*s. Let v(r) = -5*r**2 - 3*r. Let f(p) = 3*l(p) - 2*v(p). Let h(k) = 8*k**2. Calculate h(f(d)).\nAnswer: 200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - -1) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080*0.037.\nAnswer: 39.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -231*c**2 - 7*c - 175. Let z(y) = -3*y**2. Determine k(z(i)).\nAnswer: -2079*i**4 + 21*i**2 - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -3*m - 3. Calculate the common denominator of -4 - 21\/m*2 and -30\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*t**2)*(5*t + t + 0*t) + 0*t**3 + 3*t**3 - 9*t**3 + (2 + t**2 - 2)*(-3*t + 2*t + 2*t) + 3*t**3 - t**3 - 4*t**3.\nAnswer: -19*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 24\/(-3)*(-1002 - (1 + 9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = 0, -b + 4*b - 23 = -4*m. Let h = 2 - 1. Is b not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 60. Sort 0, w, 7, -3 in decreasing order.\nAnswer: 7, w, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2\/13, 76, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-6)*-2 + 7. Solve -x - 2 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - a = p - 120, 4*p + 5*a = 171. Calculate the remainder when 75 is divided by p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.85 + 3.85. Let l = -0.18 - -0.2. Which is the closest to -1? (a) h (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4155.93 + 4156. What is the nearest to -0.2 in -4, k, -21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/1680*(-45)\/9)\/4\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**3\/6 + 13*q**2\/2 + 2*q. Let x be o(9). Are 0.1 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y + y - 3*y in the form r*y + n and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g. Suppose -4*p - 84 = -v, v + 3*p = -g*v + 112. Suppose -3*a + v + 53 = 0. What is the greatest common divisor of a and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1000 and 59750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 1306*m + 121*m + 342*m**2 - 11843*m + 28224 - 7*m**3 + 3*m**2.\nAnswer: -3*(m - 56)**2*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 46*t - 13. Let o(w) = 44*w - 10. Let k(r) = -4*f(r) + 5*o(r). Let l(u) = -6*u. Calculate l(k(c)).\nAnswer: -216*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.59 - -0.41. Let g = 2 + d. Let i = -12 + 8. Put g, -2, i in ascending order.\nAnswer: i, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 7 + 5 + 27 = -2*q - 3*q, 6*q + 44 = -2*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/4)*f)\/(f*f\/f**1*f))\/(f**(-2\/5)*f)**47 assuming f is positive.\nAnswer: f**(-569\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a29122 - 2?\nAnswer: a29120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d**5 - 466*d**4 + 1185*d**3 - 1170*d**2 + 332*d - 24 = 0. Calculate d.\nAnswer: 1\/9, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38557 by 376.\nAnswer: -38557\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -9*w + 7. Suppose -t - 4*m = -7, 4*t - 3*m = -5 + 14. Suppose 4*k + 8 = w*p - 0*p, 0 = -t*p + 2*k + 12. Solve -p*l + 10 = -2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = -26443*q + 26440*q + 31, q = 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/120 and 21\/89721320?\nAnswer: 269163960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)\/(r*r*r**(2\/17)*r))**46)**(1\/14) assuming r is positive.\nAnswer: r**(-621\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/21502?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 15*k - 4. Let w(q) = -q**2 - q + 1. Let y(l) = -t(l) - 4*w(l). Let j(m) = -2*m. Calculate y(j(x)).\nAnswer: 4*x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 6*w + v + 7, 2*v = -20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 380, 4, 1522 in ascending order.\nAnswer: 4, 380, 1522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-8)*(-4)\/6. Let h be 91\/(-42) + (s - -3). What is the second biggest value in -1, 1, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1013 - 1001. What is the lowest common multiple of t and 294?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/((-4)\/(16\/4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - o + 4 = -0*o, 5*l + 2*o = 5. Suppose 0 = -l*j + 11*j - 32. Solve -5*t + 37 = j*d, t = -7*d + 4*d + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 49*w**2 - 37*w + 344. What is t(-50)?\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/2)\/(14\/(-280)*-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 386255, 386256, 386257, 386258, 386259?\nAnswer: 386260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h + 2. Let t = 9269.8 + -9303.8. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/9 + 7\/45. Let w = 11 - 6. What is the third smallest value in 3\/7, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7476145 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13615 - 4?\nAnswer: 13611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-493)\/(-1) + (-5 + 1)*1?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 46. Suppose -8*v + 0 = -k. Solve -w - 3*w = -8, -a + 2*w - 8 = v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138102942947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (0 - -11 - (26 - 23))) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f**6*f*f*f**(-2)\/f*f**(2\/17))**(-4) assuming f is positive.\nAnswer: f**(-76\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0886 times 0.01?\nAnswer: 0.000886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5155 is divided by 5106.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1697*p**2. Let s(y) = 1007*y**2. Give u(s(x)).\nAnswer: 1720841153*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 18*s - 21088 = -4*p, 2*p = 4*s + 10526. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 227*v - 11079. Give o(-154).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - o - 2. Is 12 a factor of s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4306\/16745 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-5730)\/(-382))\/(10\/24))\/((-51)\/136)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480622440.\nAnswer: 2, 3, 5, 1553, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -524*u**3 + 4*u**2 + 2*u + 2. Let z(i) = 523*i**3 - 6*i**2 - 3*i - 3. Determine 3*k(m) + 2*z(m).\nAnswer: -526*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2251?\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 752.4709 millilitres in litres?\nAnswer: 0.7524709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-2))\/(4\/(-6)). Suppose 14 + 17 = p + l*g, -3*g + 56 = 2*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 - 3*w + 5. Let n be b(-5). Let v(d) = -3*d + 53. Let z be v(16). Suppose 4*i = -16, -4*i = z*g + 147 + 29. Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 5*s + 23. Let n(d) = -d - 1. Let b(x) = -c(x) + 4*n(x). Let u be b(11). Let g(q) = -q - 1. Determine g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*c = 0, 4*s + c = -0*s - 28. Let r be 2\/(s\/(-244) - 0). Suppose 163 = 2*j + r. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 1:01 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/11550 and -113\/108108.\nAnswer: 2702700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from ccccccccyccc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -0.0391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, w: 1, g: 3, y: 1, d: 1, k: 4}. Give prob of picking 1 y, 1 d, and 1 h.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1873 - 1880. Let f(y) = -y**3 - 8*y**2 - 5*y - 3. Calculate f(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -852*q**2 + 438*q.\nAnswer: -1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5083, 4756, 4209, 3442, 2455, 1248, -179?\n\"Answer: -110*q**2 + 3*q + 5190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 34 = -2*z, -5*w = -0*z - 2*z + 25. Let n = 15 - z. Let r = -5 - -7. What is the second biggest value in r, n, -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5. What are the prime factors of -3 + 15\/h + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.065460532 from 47.\nAnswer: 47.065460532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2246 divided by 1123\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (109 - (-379051)\/(-3471))*-3?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -27. Let f = n + 23.77. Let c = 0.7 - f. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1105 and 79789905?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2912, -2921, -2930, -2939?\n\"Answer: -9*t - 2903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 104 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 139*n**2 + 11*n**2.\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50689 and -21.\nAnswer: 1064469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11137982 less than -1238?\nAnswer: -11139220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29522, -59070, -88624, -118178, -147726, -177262, -206780, -236274?\n\"Answer: r**3 - 9*r**2 - 29528*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*o + 0*o + 12 = 0, 4*u + o = 4. Suppose 2*q + s = 8, 4*s + 16 = 82*q - 78*q. Which is the nearest to u? (a) -0.04 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 8*j**2 - 7*j - 3. Let c be h(-7). Let r be -2 + (0 - -9) + c. Suppose -i + 4*g = 2, -7*i + 38 = -2*i + r*g. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -9*c**5\/10 - c**4\/24 - c**3\/6 + 3*c**2 + 7. Find the second derivative of x(p) wrt p.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 15*j + 19. Let b be q(-14). Suppose -b*h = -2*x - 26, -h + 11 = x + 3. What is the lowest common multiple of 11 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-462)\/(-88))\/(-7))\/((-30)\/220).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/7781 and 83\/1506?\nAnswer: 46686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 1030036.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -34 times 26.298\nAnswer: -894.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765498015 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m - 9. Calculate n(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-1) + 1)\/3. Suppose c = h + 2. Let x = 3 - 8. Let n(i) = -3*i + 5. Let p(r) = r - 2. Calculate h*n(d) + x*p(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 574261 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 202*u**2.\nAnswer: -u**2*(u + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 13*z. Solve -a + 1 = z, 3*j + 3 = -a + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.812806ns to microseconds.\nAnswer: 0.006812806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17779050.\nAnswer: 2, 3, 5, 39509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -292, -349, -406?\n\"Answer: -57*n - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**5 + 6*j**4 - 16*j**3 + 12*j**2. Let s(l) = -l**4 + l**3 + 3*l**2. Let o(q) = s(q) - w(q). Factor o(g).\nAnswer: -g**2*(g - 1)**2*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69167943 by -591179.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-5*sqrt(672)*2)\/(((sqrt(600) - (-1*sqrt(600) - sqrt(600)))\/sqrt(10))\/(sqrt(30)\/sqrt(3)*-4)))**2 + 5.\nAnswer: 716805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 44 = -7*r. Let v(u) = -u**2 + 7*u - 2. Let p be v(6). Suppose 3*b = -5*i + 15, p*b + 2*i = -2*i + 28. What is the lowest common multiple of r and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*u = 182*u + 200. Let q be (-6)\/4*32\/(-168). Sort q, 0.7, u, 1 in descending order.\nAnswer: 1, 0.7, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from aafakfa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-115059*h**3 - 3 + 31*h**2 + 6*h + 57507*h**3 + 57546*h**3)*(0*h + 2*h - 1 - 4*h) to d*h + a*h**2 + c*h**4 + n + j*h**3 and give a.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 15. Let h(d) = d**2 - 4*d - 27. Let b(u) = 11. Let p(x) = -2*b(x) - h(x). What is p(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 6*x + 10. What is the remainder when 7 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/10 (b) -2\/11 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:58 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.193 * -0.5.\nAnswer: 22.0965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.3951831\nAnswer: -1.1855493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**1*g)\/g)**49)**(-6)*((g**4\/g)\/(g\/(g**(-3)*g)))**19 assuming g is positive.\nAnswer: g**(-294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.6 + 13. Let i = p + -0.4. Let l = 30 + -29.6. Which is the closest to 2\/7? (a) l (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*i + 675, -i = s - 2*i - 170. What is the highest common factor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((5 - (11 - 1)) + 4)*(-16)\/(-12). What is the nearest to 0 in 0.04, 2\/9, 0.05, k?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-3)\/(-1)))\/(92\/(-1518))*2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4976978564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -722*n - 1385. What is the tens digit of b(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = -47 - 1 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 12441816.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t**1*t)))*t**(1\/9))**49 assuming t is positive.\nAnswer: t**(-392\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 11*j**2 + 23*j + 11. Calculate h(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145625269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 780660 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.098 (b) -3 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**2 - 267*g + 2560. Determine f(11).\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42*m + 9*m + 30 - 30)*(-979*m - 71*m**3 + 979*m) + 4 - 4 - 2*m**4 to the form n*m + v*m**2 + s + h*m**3 + x*m**4 and give x.\nAnswer: 2341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 45. Let p = -50 + y. Let b = p - -225. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z + 2. Let s be x(5). Let m = s + 39. Suppose 0*v + 3*r - 22 = -4*v, -m = -4*v + 5*r. Calculate the greatest common divisor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/12 - 36*k. Let t(u) be the first derivative of 17*u**2\/2 + 3. What is r(t(o))?\nAnswer: -289*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)\/d**4*(d**0\/d)\/d**(-2) assuming d is positive.\nAnswer: d**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6*0.3\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 23*c**2 - 21*c + 23. Let q be v(-22). Let j be (2 + 10\/(-4))*-18. Solve -h = 4*g + 2*h - q, 5*h - j = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-5)\/83) - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29835745 or -29835744?\nAnswer: -29835745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6270, 25064, 56368, 100176, 156482, 225280?\nAnswer: 306564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 m, and 2 x when four letters picked without replacement from {c: 1, b: 1, i: 1, x: 2, w: 1, m: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -5\/4, -27, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 510 - 10708\/21. Sort -0.5, a, 5 in ascending order.\nAnswer: -0.5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 8:58 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -2340?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1552*y + 96*y + 49440 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 2*j + 236, -j = -2*w + 457. Suppose 12*v + w = 622. Does 24 divide -3 + (-1 + 4)*v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 3. Let v = 7 - d. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-1\/5)))\/h**(-2\/3)*h**(-2\/25)\/h**(-1\/4) assuming h is positive.\nAnswer: h**(311\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttomxtotmtzmm. What is prob of picking 2 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11099, -19513, -27909, -36287, -44647, -52989, -61313?\nAnswer: -69619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**2\/8 + 170433*h\/8 + 852315\/4 = 0. Calculate h.\nAnswer: -10, 56821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 + 1 + -4*(-3)\/6. Let k(p) = -10 - 2*p - 1 + 2 + 4 - 19. Calculate k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*i**4 + 0*i + 0 + 0*i**3 - 2\/9*i**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -2. Let k = 69 + -67. Let v be 0 - -1*(-12)\/(-22). Which is the nearest to -2? (a) w (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrrrxr. What is prob of picking 1 x and 2 r?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 = 4. Let m = 35 - 31. Solve -m*u - c = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 362 + -295. Let q(a) = -a**2 - 39*a + 31. What is the remainder when q(-23) is divided by l?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26813, -53641, -80459, -107261, -134041, -160793?\nAnswer: -187511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-140625)\/(-10))\/((-6)\/(-2560)). Round h to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-9) - 52*(-3)\/27. Suppose 5 = h, -t*h + 509 = 3*n - 5*h. Calculate the remainder when n is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.6 minus -2.4?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 324*f - 18400. Determine t(-253).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -83*h - 10. Let b(q) = q - 2. Give -6*b(s) + j(s).\nAnswer: -89*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 106 = 38. Let p(m) = 6*m - 4. Let c be p(5). Let s = c + o. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64625513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m**5\/2 + 798*m**4 + 838*m**3 - 813*m**2 - 1621*m\/2 + 15 = 0. What is m?\nAnswer: -1, 1\/55, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5086 (b) -2\/17 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.584659 nanometers in millimeters?\nAnswer: 0.000002584659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 419373360 a multiple of 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1991.7 - -1992. Suppose -4*f + 5*l = -9*f + 40, 0 = -2*f - 3*l + 19. What is the closest to 2 in 1\/5, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:45 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*o - r - 41, 0 = 5*o - 2*r - 38. Let d(p) = -p**3 + 10*p**2 - 19*p + 28. Let t be d(o). Solve -t = 4*k - 0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 882\/(-539) - (-204)\/286.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 + 50*p**2 - 1 + 0.\nAnswer: 37*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 9)\/21*1\/(-4). Let v(k) be the second derivative of 4*k + 0*k**2 + 0*k**3 + 0 + 7\/40*k**5 - 1\/12*k**4 - t*k**6. Factor v(y).\nAnswer: -y**2*(y - 1)*(5*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/30786 and -53\/8796.\nAnswer: 61572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/((d*d\/(((d*(d\/(d*d\/d**(1\/7)))\/d)\/d)\/d))\/d)*d)\/d)\/d*d*d\/(d*d**(-3))*d**3*(d**(2\/9)*d)\/d)\/(d**(-4)\/d**(-3\/2))**(-1\/25) assuming d is positive.\nAnswer: d**(2687\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 91017.72 meters?\nAnswer: 91017720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -804.48 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2343, -2347, -2355, -2367, -2383, -2403, -2427?\nAnswer: -2455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 26. Let o(t) = 3*t - 5*t + 6*t + 1. Let k(y) = -y - 1. Calculate n*k(w) - o(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 71*v + 66*v - 426779 = 0, 5*u - 2*v - 711273 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 2:27 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 4*h + h - 5*h**3.\nAnswer: -4*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5 = -4*g, -g - 6 = 3*n - 4*g. Suppose -156 = -4*s + n*s. Let d = -21 + s. Is d a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1261 + 963. Suppose -18*f = -2*f - y. Calculate the remainder when f is divided by (-3 + 5)\/((-4)\/(-70)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3 and -25\/17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -407, -823, -1285, -1817, -2443, -3187, -4073?\nAnswer: -5125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 + 3\/(-12). Suppose o = g - r, 3*r - 7*r = 2*g + 24. Let n(m) = 2*m**2 - 3*m + 4. Is 8 a factor of n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let z be b(-1). Suppose 10 = o - z. Suppose 21*d + o = 25*d. Solve -d = -2*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203100 (base 4) to base 5\nAnswer: 33011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 1232.\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 h, and 1 e when four letters picked without replacement from {e: 4, k: 4, b: 3, g: 2, h: 1}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/3, 1, 179.4, -1\/4 in ascending order.\nAnswer: -2\/3, -1\/4, -0.1, 1, 179.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1\/(((-5)\/25 - 3) + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2)*1 + sqrt(2))**2 - 3*sqrt(32).\nAnswer: -12*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 21*t - 72 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -54. Let q be 19 + t - (0 - (-1 + 3)). Solve 0 = 4*f + q - 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 6*l + 1. Let g be f(6). Which is smaller: g or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 274003 or 274153?\nAnswer: 274153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3067.55 centuries in months?\nAnswer: 3681060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 24*o - 498. What are the prime factors of o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14858\/(-95) + (-4)\/(-10). Let g be (8\/6)\/((-26)\/o). Solve -5*r - 28 + g = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -202022310?\nAnswer: -202023000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -0.009 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 - 1691 = 2*o. Let b = 1640 + o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdor when four letters picked without replacement from rrrrrodrrddddpydyrd.\nAnswer: 49\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 - -261. Suppose 0 = 2*s + 6*s - y. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 125 from -0.254611.\nAnswer: -125.254611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-850))\/(5496\/(-45800)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -109692, -438772, -987238, -1755090, -2742328?\n\"Answer: -109693*f**2 - f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2 - 11*k. Let v(b) = 14*b**2 - 16*b. Let z(p) = -8*c(p) + 5*v(p). What is the second derivative of z(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2487 + -1763. List the prime factors of v.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*c + c - 14626 = 0, 2*f = 2*c + 7314. Differentiate -f*t - 3*t**2 + 20 + 1 + 3648*t with respect to t.\nAnswer: -6*t - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(sqrt(76))**2.\nAnswer: -2280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*p, 5*n - 2 = 4*p + 11. Suppose -y - 5 = t, t + 0*y = y + 5. Put n, t, -1 in ascending order.\nAnswer: -1, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*h = 24, -4*h = -5*l + 21 + 5. Let t be (6\/(-4))\/((-1)\/l). Suppose -110 = -2*x - t*x. Calculate the highest common factor of x and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - 21*u**2 - 263*u + 2771. Give p(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130996641 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: Let c(l) be the second derivative of 2*l + 1\/3*l**3 - 1\/2*l**2 + 0. Suppose o - 6 = -4. What is c(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402 a factor of 440732096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/2, -9 in ascending order.\nAnswer: -9, -0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 340\/(-50) + (-4)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 10656\/74 + (1 - 9).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.682 + -13. Let d = 0.179 + h. Let l = -0.551 + d. Round l to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ssoouoaodoozod.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**5\/60 + b**4\/4 - b**3\/6 + 34*b**2. Suppose -w - w + 3*d - 1 = 0, -5*w + 5 = -5*d. Give l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22634, 22631, 22628, 22625, 22622, 22619?\n\"Answer: -3*y + 22637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -101. Let l(d) = 2. Let n(g) = g + 3. Let t(k) = -5*l(k) + 3*n(k). Calculate the least common multiple of c and t(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454003 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65632854 by 21877618.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p**2 - 45*p - 21 = 0 for p.\nAnswer: -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 144*c**2 - 7*c - 2. Let d be 2\/(-5) + 153\/(-5). Let p = 28 + d. Is t(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*n**3 + n**2 + 278*n - 5*n**3 + 19 - 145*n - 135*n as v + y*n**2 + o*n + b*n**3 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50353 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: Suppose 18*p - 16*p = -12. Which is the closest to p? (a) -4 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 8*l - 166 - 16. Calculate the lowest common multiple of l and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 18*i - 319974 = -25*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 310820353 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -446*a**3 - 1591*a**2 + 3183*a - 1. Determine l(2).\nAnswer: -3567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 4. Let t(a) = a - 1. Determine o(k) + 4*t(k).\nAnswer: k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.064239 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 + 74. Suppose 0 = p*k + 2*k. Find u such that 1\/2*u**3 + 0 - u**2 + k*u = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 217162747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/57 + 8\/57. Which is the smallest value? (a) y (b) 0.07 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 4*q - q)*(-4*q - 2*q**2 - 5 - 7 + 10) - 3*q**2 + 3*q**3 + 3*q**2 + 3*q**2 - 3*q**2 + 8*q**3.\nAnswer: 3*q**3 - 16*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152231.\nAnswer: 152231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216.4 + 204.4. Which is the biggest value? (a) 4 (b) 4\/5 (c) -0.3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a0 (base 11) in base 10?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83567*m**3 - 13598 wrt m.\nAnswer: 250701*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2469 - 854. List the prime factors of c.\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62.8 and 86.\nAnswer: -5400.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 462\/630 + ((-6)\/(-10) - 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220102 - 2211000122?\nAnswer: -2211221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962427 to the power of 1\/2, to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187 (base 9) in base 12?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 11. Let k = -1 + 3. Let g be (-5)\/20*(-3 - 1). What is the closest to g in 1, k, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2365*p**2 + 21*p**3 + 2369*p**2 - 7099*p**2 + 2365*p**2 - 33*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**3)**(-5))**(-2\/33)*(u*u\/(u*u*u**(-12)*u*u)*u**(1\/4))**(-25) assuming u is positive.\nAnswer: u**(-33905\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1441760654.99999866 - -1441760585. Let m = s + 70. What is m rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -3, -5, -4.\nAnswer: -83, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176.083 + -176. Let f = 60.174 - 60.2569825. Let k = j + f. Round k to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**5\/60 + p**2\/2 - p. Let d(z) be the first derivative of g(z). Let t(a) = 3*a + 0*a + 2*a**2 - 3*a. Calculate t(d(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11*m + 3 - 3. Let g be -4 + 1 + 1 + 3. What is the tens digit of a(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 37148*y + 2*y**2 + 18828*y + 18600*y.\nAnswer: 2*y**2 + 280*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and 50.\nAnswer: -2150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1678*f**2 - 3354*f**2 + 1676*f**2 + 58*f**3.\nAnswer: 58*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 + (-1 + 2 - 2)*(3 + 0 - 4) + 3 + 1 - 2)*(-2*n + n + 2*n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 634?\nAnswer: -634.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466067999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-222)\/(-33) - (1020\/132 - 8). Solve -p - 16 = 5*r - 2*f, r + 2 = 3*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/n**(-2\/5)*n*n**(-2\/23)*((n*n\/n**(-1\/11))\/n*n)\/n*n)**(-2) assuming n is positive.\nAnswer: n**(-65344\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2811704 to the nearest integer?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 42. Let t be r(12). Let d = t - 57. What is the second biggest value in d, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -483, 192, -3, -4, 5 in increasing order.\nAnswer: -483, -4, -3, 5, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5*m - 15, 12 = -4*m - 327*h + 323*h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/69473 or -12?\nAnswer: -4\/69473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(1\/7))*y*y**(-1)*y)**(9\/8) assuming y is positive.\nAnswer: y**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + d - 1. Let w = -1347 + 1345. Let c be (-10)\/(-3) - (-2)\/(-6). Let g(n) = -2 - 2 + c*n**2 + 3*n + 1. What is w*g(o) + 4*t(o)?\nAnswer: -2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -56. Put -4, 3, d, 9 in increasing order.\nAnswer: -4, d, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 60 = 20. Suppose -4*h = -2*k + g, 3*h + 6 = -k - 9. Solve -w = 5*z - k*w + 4, -2*w - 8 = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -1, 3\/10, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-294)\/(-75))\/(10 + -10 - 92\/(-5)) and 43\/16?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6238*q**3 - 2896*q - 9 - 19 - 8 + 42 - 4 wrt q?\nAnswer: 37428*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/196 and -9\/539.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 + 1. Let i(k) = -8*k**3 - 6*k**2 + 3*k + 6. Let o(q) = 2*q**2 + 6*q - 102. Let n be o(6). What is n*m(z) - i(z)?\nAnswer: 2*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1373 - 1373 + 21*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-2 - 5\/(-2)). Let j = a - 7. Let g = 4 + j. Put g, 7, 2 in decreasing order.\nAnswer: 7, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/4 - 3*i. Let x(v) be the third derivative of 0 + 4*v**2 + 0*v**3 + 0*v + 1\/24*v**4. Give z(x(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 9*i**2 - 6*i - 6. Does 11 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 1\/2*v**3 + 1\/60*v**5 + 1\/24*v**4 + 0*v + v**2 + 0. Let s be o(0). Solve -5*h = -5*l - 30, 4*l - s*h + 21 = -0*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 55*l + 0*l = -1435 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4.893, -104, -4 in increasing order.\nAnswer: -104, -4.893, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 0.79999888. What is k rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1\/2, -11, -1, 0.258, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 438.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5997 is divided by 2993.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 11:05 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 637 and 1074346.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/13 - 4*t**2 - 440*t\/13 - 1200\/13 = 0. What is t?\nAnswer: -10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -10549.8 to the nearest 100.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31, 109, 235, 341, 421?\n\"Answer: -y**3 - y**2 + 150*y - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 119040 = 32*p. Calculate the greatest common divisor of p and 651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*p - 716*p + 8*c = 40, 0 = 6*p - c - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2874 times 161\nAnswer: 462714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-150)\/36 - (0 + (-1829)\/1770)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9809 - -9808.9891. What is p rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*p**4 - 346814*p**2 - p - 618231401.\nAnswer: -144*p**3 - 693628*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**3 + 67780*r**2 + 4995185*r + 92284290 = 0.\nAnswer: -13482, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.5 and -22900?\nAnswer: 22914.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 3187 = 3203 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203536, 406986, 610436, 813886, 1017336?\nAnswer: 1220786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8215 - -8599. Calculate the remainder when f is divided by 164.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.8 - 1.8. What is the biggest value in 3, -2\/17, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(95) + (sqrt(95) - (sqrt(95) - -2*sqrt(95))) + sqrt(95) + sqrt(95))*-6*4)\/(sqrt(1280)\/sqrt(4) - 1*sqrt(80)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8705801, -17411606, -26117411, -34823216, -43529021?\nAnswer: -52234826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t - 1. Let x be q(-9). Suppose 2*l - 37 = -w, -5*l + l + 2*w + x = 0. What is the remainder when l is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 2. Let k be n(0). Suppose -3*d - 3*s + 6*s = -15, 3 = k*d + 5*s. Which is greater: 1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f**5 - 96*f**4 - 216*f**3 - 222*f**2 - 105*f - 18 = 0 for f.\nAnswer: -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*g - 143*g = 240. Factor 256*x + 452*x**2 - g + 18*x**3 + 4*x**3 - 2*x**3 - 128.\nAnswer: 4*(x + 1)*(x + 22)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(6\/7)\/m**(2\/93)*m**24\/(m*m**(-2\/17)) assuming m is positive.\nAnswer: m**(265091\/11067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o**3 + 3*o**2 + 3842*o - 17718?\nAnswer: -6*o**2 + 6*o + 3842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -346, -520, -694?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + d + d)*(18*d - 11*d - 16*d) + (3*d - 4*d + 0*d)*(-20*d + 6*d + 4*d) + (d - 4*d + d)*(-2*d + d - d) in the form y + b*d**2 + n*d and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -0.3. Let i = 0.019 - -0.061. Suppose 0 = 2*g + 5*c - 10, 3*g - 11 - 4 = 2*c. What is the smallest value in b, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 184\/11 (b) -2\/5 (c) 2 (d) -0.7 (e) 0.2 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:15 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13))**2*-1 + sqrt(117)\/(sqrt(81) - sqrt(9)).\nAnswer: -14 + 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15932, -61484, -137396, -243662, -380276, -547232, -744524, -972146?\n\"Answer: u**3 - 15186*u**2 - u - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3663494.\nAnswer: 2, 1831747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 11*f**2 - 14*f + 18. Let y be n(12). Let i be ((-141)\/315 - (-2)\/5)*y. Let u = 0.01 - -0.19. Sort i, u, -1.\nAnswer: -1, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2240946.\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) + -1*sqrt(300)*-1))\/(sqrt(125)*-2))\/((sqrt(144)*-1*3)\/(sqrt(12) - (sqrt(36) + sqrt(144)\/sqrt(4))\/sqrt(3))).\nAnswer: sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/(-174) - (-1)\/3)\/(21054\/14036).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 13*f**2 + 13*f - 8. Let j(z) = z**3 - 7*z**2 - 7*z + 4. Let x(d) = -4*i(d) - 7*j(d). Suppose 0 = -4*k + 5*u - 13, 5*u - 15 = 10. Give x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*s + 182 - 50, -125 = -2*f + 3*s. Suppose 24 = f*a - 70*a. What is the closest to -2\/3 in 1\/9, 2\/35, a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 4:12 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2. Let m(o) = 79*o - 138. What is i(m(q))?\nAnswer: 12482*q**2 - 43608*q + 38088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12760 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859193 is divided by 757.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 5*x - 6. Let t be n(-6). Suppose -8*l + 10*l - 54 = t. Calculate the remainder when 6\/27 + 966\/l is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/8)\/((-16)\/(-64)). Suppose 0 = -4*r + 4*b - 12, 4*r - r + 2*b - v = 0. Sort r, -5, 2.\nAnswer: -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2092\/9 + 10424\/45. Which is the third biggest value? (a) -3\/2 (b) 864 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -3. Let d = v - -3. Let h = -3 - -6. Put d, -3\/2, h in decreasing order.\nAnswer: h, d, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 43. Suppose 18*q - 15 - 3 = 0. Solve 0 = -v - q, -2*v - y = -2*m - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 259097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 9*x + 3. Let t be d(-7). Let n = t + 17. What is the units digit of 9\/2 + 3\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65*(-108)\/(-3510))\/(3\/114*-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-31 + (-12 - -32))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/7 - 47*p**2\/7 + 14*p = 0.\nAnswer: -49, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = -6. Suppose 0 = -2*v + p, -2*r + 3*v - 1 + 0 = 0. Solve -n + 2*n = -r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 15*o**5 + 4386*o**4 + 152259*o**3 + 985008*o**2 - 8500404*o + 7358736 = 0.\nAnswer: -1267\/5, -22, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -243*s + 8. Let p(f) = 241*f - 5. Give 2*i(a) + 3*p(a).\nAnswer: 237*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 4*n - 8*n - 4, 5*h + 35 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 6. Suppose h*g + 25 = j - 0*j, -2*j = 3*g - 5. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 433 and 408898.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*w - 20 = -4*i, -3*i + 2*w = -32. Let l be i\/(3 + 1) - 0. Solve m = -2*f - 11, 26 = -4*m - 0*f - l*f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -8*t**3\/3 + 3*t. Let q(z) = -z. What is l(q(b))?\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**2*h**5 - 4*b**2*h**3 - 6*b**2*h**2 - 15*b**2*h + 2*b*h**2 - 3*h**4 wrt h?\nAnswer: 300*b**2*h**2 - 24*b**2 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 10*b**2 + 26*b - 11. Is v(12) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose -9*w - v = -10*w. Suppose 0 = i - 5*i - w*k + 14, 3*k + 33 = 3*i. Solve i*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-1908)\/(-210) - 8*(-1)\/10.\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 10*n - 5*v - 7099 = 0, 2 = 2*v. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 2*l**2 - 3*l - 3. Let r(f) = f + 2. Let p(w) = -2*w - 5. Let j(m) = 6*p(m) + 17*r(m). Let v be j(-5). Let s be (2\/3)\/(7\/v). Calculate u(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.85 + 360.15. Let v = -360.7 + c. Let h = 0.3 + 0.2. What is the smallest value in h, v, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 444104 - 13400?\nAnswer: 430204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 4*z**2 + 5*z + 2. Let d(r) = -11 - r**3 + 4 - 6 + 22 - 2*r**3 + 21*r - 17*r**2. Determine 2*d(g) - 9*m(g).\nAnswer: 3*g**3 + 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/4 + (1 - 195). Let x = l - -194. Put -3, -9, x in decreasing order.\nAnswer: x, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 5200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17076 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*y - 4869 = 903. What is the remainder when y is divided by 11 + 1\/(-1) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51002 + 17493745\/343. Find the common denominator of b and -27\/10.\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -992 divided by -4?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/24 + 5*s**3\/3 + 4*s**2. Let v be k(-8). What is the first derivative of -3 - v - 15*u**2 + 13*u**2 wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17338 - -17344. Solve 3*t = -v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10556 and 33586553?\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11166 (base 11) to base 12\nAnswer: 9431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/1381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) - (-4)\/(-14). Suppose 10*h - 480 = -15*h - 7*h. Solve -2*n + h = 2*m - 5*m, v = 4*n + m + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3*1197\/3325)\/(13\/1170)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -14*r. Suppose 0 = 3*x + 3 - 0. What is the units digit of g(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33242 - -33263. Let v(s) = 3*s**3 - 3*s**2 + 1. What is the remainder when v(3) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**2 - 183. Let g(q) = -685*q**2 + q. Determine x(g(c)).\nAnswer: 1370*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*p + 458*p + 214*p.\nAnswer: 768*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-150)*(-1860)\/(-496)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 91*d**2 - 431*d + 91. What is i(-40)?\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3876*a - 153. Let o(d) = 102*d - 4. What is 4*g(m) - 153*o(m)?\nAnswer: -102*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 6*h**2 - h. Let u be r(-6). Suppose t - u = -2*t. Find the second derivative of 5*o**3 - t*o - 3*o**4 - 5*o**3 wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021829228 to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*u + 1852 = 0, 4*z + 936 - 4648 = -2*u. Suppose 2*v - z - 1805 = -3*n, -4*n = v - 3652. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1995231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 + 27*u + 118. Determine c(-4).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twz when three letters picked without replacement from {z: 5, p: 1, t: 1, w: 2}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -15*a**4 + 215*a**3 + 695*a**2 - 255*a = 0.\nAnswer: -3, 0, 1\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -229 divided by 499\nAnswer: -229\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a + 1. Let q be v(-1). Let b be 5\/(-1)*q\/5. Find the first derivative of -4*m**2 + 2 - 2*m**4 + 3*m**b + m**2 wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 2816*q**3 - 8472*q**2 - 8480*q - 2828.\nAnswer: 4*(q - 707)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - t + 5. Suppose -3*o - l = -9, -3*o + 15 = 2*o - t*l. Suppose 2*f + o*z = 0, z + 4 = 2*z. Let g(k) = -k**2 - 6*k - 5. Give g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4404630 and 3526?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 52 = 4*b - b, -2*b + 3*x = -13. What is the remainder when 55 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36498206083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164829 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/(-2)*(-5 + 4). Let k = -18 - u. Suppose k = -3*h + 7*h. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551692 (base 15) in base 16?\nAnswer: 3ddf4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -1 + 1)*-11. Suppose v - 5 = -x. Let w(m) be the first derivative of m**2\/2 + m + 2. Let g(t) = -5*t - 5. Determine v*w(q) - g(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1326, -4 in descending order.\nAnswer: 5, -4, -1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1058\/12 + ((-15)\/(-9))\/(-5). Let d = k - 87. Which is smaller: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - ((4 - 2) + -2) - (-50 + (30 - -25))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21088 is divided by 88.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -31, -88, -197, -376, -643, -1016?\nAnswer: -1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 95*j - 95*j + j**2 - 2. Let w be q(2). Solve 0 = 3*h + w*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -0.3. Suppose 17*r = 24*r + 1113. Let c = 1111\/7 + r. What is the biggest value in w, -2, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114)*2*5 + sqrt(114))) + sqrt(114))\/(-3*sqrt(600)).\nAnswer: 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12308)\/3076 - 1 - -5. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 + 1.7. Let s = l + -10. Let x = 0 - s. Which is greater: x or 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -267, 611, -3\/5, 10 in increasing order.\nAnswer: -267, -3\/5, 10, 611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 66627*0.1\nAnswer: 6662.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -e457c?\nAnswer: -e457b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from hjfeeeeafaeeafaaa?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54 + -1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -5*p + 0*p**5 - 9\/2*p**2 - 4 + 0*p**4 - 1\/2*p**3 + 13\/3*p**6. Find the second derivative of k(n) wrt n.\nAnswer: 1560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 72 + 140*x**3 - 72 + 201*x**3.\nAnswer: 341*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2. Let h(l) = 9*l - 12. Let d(y) = 25*y - 33. Let n(a) = -4*d(a) + 11*h(a). Calculate c(n(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 24\/3)\/((-8)\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gjjgiigijijgjji?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35187571\/7 or -5026797?\nAnswer: -5026797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 2, p: 7, n: 6, f: 1}. Give prob of sequence na.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 31*b**2 + 3. Let s(g) = -2*g**3 - 32*g**2 + 4. Determine 4*j(y) - 3*s(y).\nAnswer: 2*y**3 - 28*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1200*b**2 - 6120*b**2 - 8456*b**2 - 48075*b**2.\nAnswer: -63851*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hghhhhhhghhhhhhhhh. What is prob of picking 2 g and 1 h?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 19152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffv when three letters picked without replacement from {v: 3, f: 4, x: 5}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/21*-5*44\/(-220)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 80109 and 80118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5 + 363956*i**4 + 20372128*i**3 + 285165888*i**2.\nAnswer: 4*i**2*(i + 28)**2*(i + 90933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020019042 to 6 decimal places.\nAnswer: -0.020019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4037 + -1630949\/404. Do 1 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-3 + 4) - 12. Let g = 9 + a. Let t(z) = 2*z**2 + 5*z. Let n(d) = -1. Let j(c) = -3*n(c) + t(c). Give j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 92424*a + 3 - 23051*a.\nAnswer: 69373*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 + 0*v**2)*(3 - 3 + 2*v**2) + 24*v**3 - 24*v**3 - 26*v**4.\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 3*r**5\/80 + 21*r**4\/4 - r**3\/8 - 63*r**2\/2 - 411*r. Let h(k) = 0. Calculate k.\nAnswer: -84, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c + 16. Let a = -18 + 31. Suppose g + 0*h + 2*h = 7, 4*h = g - a. Calculate the remainder when d(0) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101 + -10010010111001011?\nAnswer: -10010010101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385 = 48*h - 369 + 82 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -597 + 374. What is h rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 8 = 4*w, -3*w - 6 = -4*g. Suppose -3*u - 63 + 66 = g. Solve 0 = -4*y - u - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10576260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 6 - 5 - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13020 (base 4) to base 13\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + r + 1330 = -q, 805 = 3*q - 2*r. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c = 3*c - 240. Calculate the smallest common multiple of c and 23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((5\/10)\/((-3)\/(-96)))\/2. Suppose l*h + 2*h = 510. Suppose h = x - 67. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70696062?\nAnswer: 2, 3, 3927559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10339*j**3 - 2*j**2 - 395*j - 3 wrt j?\nAnswer: -62034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 12*b - 26. Let k be z(14). Let g be -1 - (2 + -7 + 0) - k. Suppose -1 = 3*q + 5*l, -2*q - g*l + 0*l = -2. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 90?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, s: 5, d: 1, y: 1, w: 1}. Give prob of sequence iws.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 28*c**2 + 118316*c + 236520 = 0.\nAnswer: -29565\/7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.5519 rounded to one decimal place?\nAnswer: -38.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 11. Let i = 7 - z. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -14, -5 in ascending order.\nAnswer: -14, -5, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1009, 2018, 3027, 4036, 5045, 6054?\n\"Answer: 1009*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163678939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97275560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28.47 and -335843?\nAnswer: 335814.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 12*a - 9. Suppose 0 + 22 = 2*x. Let j be h(x). Let c be (-2)\/10 + (-44)\/(-20). Is j != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11940 + 11940.02. Put t, 5, 70 in ascending order.\nAnswer: t, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117468 by 687.\nAnswer: -39156\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -239 + 158. Let x = z - -136. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-4)*p)**(7\/3)*(p*p\/(p*p\/(p\/p**(-8\/9))*p*p))**(-7\/5))**(2\/5) assuming p is positive.\nAnswer: p**(-406\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 875, 1764, 2667, 3584, 4515, 5460?\nAnswer: 6419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 14 = 5*v, g + 22 - 4 = 4*v. Suppose 2*f - 62 = -3*f - w, v*f + w - 50 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koyojyyjykjoyyooyj. Give prob of picking 1 y and 1 o.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -4*i + 4*y, -238 = -5*i + 2*y - 179 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + (2\/(-76))\/(189\/7434). Sort -2\/11, 5, 254, w.\nAnswer: -2\/11, w, 5, 254","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, a: 2, c: 1, s: 2}. Give prob of sequence cs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8459837, 8459835, 8459833, 8459831?\nAnswer: 8459829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.872 - -0.128. Let w = m + -53.069. Round w to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**3 + 2*v - 2. Let f(r) = r - 1. Let c = 803 + -801. Calculate c*o(k) - 4*f(k).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 11:30 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/28 + (-67)\/(-4). Let v = 22 - -2. Let j = v + z. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64194280?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16d + 23c1a?\nAnswer: 23d87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 54. Let j be (-546)\/(-45) - h\/30. Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 29. Suppose 4*c + 12 = k. Solve 0 = 2*n - c*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86 + -37?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l - 10. Let t(q) = -9*q - 8. Let g(h) = 4*b(h) - 6*t(h). Let n(m) = 4*m + 15. What is -7*g(i) + 4*n(i)?\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 3:34 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -a + 5*a + 12, 4*a = 4*i + 20. Let z = i - -6. Suppose -z*b + 12 - 2 = 0. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v**0)**(-47)*(v*v\/(v*v**14)*v*v\/v**(-1\/5))**(-14\/11) assuming v is positive.\nAnswer: v**(-14754\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b**2 - 51*b - 12. Calculate a(22).\nAnswer: 2254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*h = -7, 3*v = -5*h + 1 + 10. Let o(f) = f + 10. Let c be o(v). Let g be (8\/(-12) - (-8)\/c)\/2. Solve -20 = -g*d + 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) -0.4 (c) -3\/5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -2*t**3 + 11*t**2\/2 - 10*t - 5200. Let n(x) = 2*x**2 - 4*x + 3. Calculate -11*n(r) - 4*s(r).\nAnswer: 2*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -12\/5*d**2 + 177\/5 - 141*d = 0.\nAnswer: -59, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 807102790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 0*s**2 - 3*s + s**2 - 2 + 0*s.\nAnswer: -(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29 + 0*s - 54*s**2 + 29 + 2*s + 104*s**4 + 0*s wrt s.\nAnswer: 2496*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39270)\/350 + (-3 - 21\/(-5)). Is -115 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/5)\/((-42)\/280). Let a be (-72)\/16*8\/(-18). Solve -v*s = 2*u - 20, a = 2*s - 2*u - u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 39*u - 1445. Let i be h(37). Let k(g) = 2 - g + 5*g**3 - 4*g**2 + 4*g**2. Let c(r) = -16*r**3 + 3*r - 7. Give i*c(p) - 7*k(p).\nAnswer: -3*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 10*d + 0*d + 1 + 4*d.\nAnswer: 14*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 642 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxgggxxgxxg. Give prob of picking 2 x.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxxx when four letters picked without replacement from {x: 7, g: 5}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -10. Let q = 5 + f. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mxxmxmxxmxxxxx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 3, -2, -49 in decreasing order.\nAnswer: 3, 1, -2, -12, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 9*q**2 + 7*q - 40. Give k(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 21 + 10*m - m - 11*m. What is the smallest common multiple of 6 and s(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13*j**2 - 235*j + 21. Let o be z(18). Let v(w) = -6*w + 7. Let g(r) = 18*r - 22. Calculate o*g(h) + 10*v(h).\nAnswer: -6*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3240 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36926563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 + 5*s - 2. What is the remainder when 1 is divided by z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 + 8*w + 24. Give u(-7).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, 2, 8, 14, 20?\n\"Answer: 6*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475542 divided by 261.\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence keu when three letters picked without replacement from {e: 1, u: 1, x: 9, k: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1360 = -3*o, -14*q = -9*q - 20. Calculate the remainder when o is divided by 52.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 33*b**5\/20 + b**4\/4 + 32*b - 3. Let n(s) be the first derivative of y(s). What is the third derivative of n(i) wrt i?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = -6*n + 3*n. Suppose -521 = -w + 237. Suppose -n = -4*u + w. What is the greatest common factor of u and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62487439441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/114 and 101\/456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*k + 4417 + 132434, -k - 136845 = -2*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v. Let u(o) = 33*o**2. What is t(u(q))?\nAnswer: 264*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 352\/537 - -2\/179. Factor y*c**3 + 0 + 2\/9*c**4 + 2\/3*c**2 + 2\/9*c.\nAnswer: 2*c*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 4*o**2 - 7*o - 10. Let n be s(6). Suppose 13*f - 9*f - n = 0. Solve -4 = -5*h + f*j + 6, -j - 2 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 7*c + 2. Factor -7*h**c - h**2 + 20*h + 16 + 12*h**2.\nAnswer: 4*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i + 5. Let z be l(0). Suppose 5*m + z*f - 445 = 0, 2*m - 7*m = -5*f - 475. Calculate the remainder when m is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + 2*i + 0*i)*(i + 3*i - 3*i + (-i + 5*i - 2*i)*(4 - 9 - 4)) to f + h*i**2 + v*i and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 10*x - 1. Suppose -38 = 3*f + o, -28 = -3*f + 4*o - 86. Let m = -25 - f. List the prime factors of b(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o - 24*o - 17*o + 58.\nAnswer: -6*o + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81208 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 23, 1, -41, -109, -209?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230160 (base 7) to base 6.\nAnswer: -513220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.434176 years to centuries.\nAnswer: 0.00434176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 0*q**2 - q**2. Let z(c) = -c + 187. Let r be z(22). Let l(w) = -r*w + 326*w - 160*w. Calculate l(a(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 156 (c) 2 (d) -11.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5301794150 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 + 2605340?\nAnswer: 2605261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -1.05285?\nAnswer: -18.9513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 42*p = -42680. Let z = -3295 - p. What is z rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.212 plus -117980?\nAnswer: -117980.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) -5867 (b) 1\/3 (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -109833 divided by 1\nAnswer: -109833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1724 and 1852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, -15, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/13, 4, -1\/5, 34, -207?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -185\/21122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**5 - 3*h**4 + 6*h**3.\nAnswer: -3*h**3*(h + 1)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/19629 and 41\/1118126.\nAnswer: 30189402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**4 - 2*q**2 - 7*q**4 + 0*q**2 + 0*q**4 + 14*q**4 - 91*q**3 to c*q**2 + t*q + a + n*q**3 + h*q**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 95 = -65. Suppose -8*l = 2*l - r. Suppose 0 = 4*c - 2*m - 44, 0 = -4*c + l*m + 10 + 30. Solve 3 = 3*s - c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4872 - -4885. What is the nearest to 0.3 in f, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2125.4 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 2*b**3 + 79*b + 5*b + 1 + 25*b + 2 - 10*b as m*b**3 + z + x*b + v*b**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2. Let d be (1\/(-2))\/(1\/(-14)). Let r(s) = s**2 - s**2 + d*s**2 - 3*s**2. Give r(q(y)).\nAnswer: 100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125610?\nAnswer: 2, 3, 5, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27520 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*h + 861558 = -1942. List the prime factors of h.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13952 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 70 = 3*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29023 from 0.\nAnswer: 29023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 212.9595mg?\nAnswer: 0.2129595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*k + 10. Let u = -2 - -4. Let h be u\/(-9) + 145\/45. Put h, k, 0.2 in descending order.\nAnswer: h, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1992 and -41\/44.\nAnswer: 21912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -656*z + 1155. Determine w(2).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from gwttttwwtwwttwwwwwtw?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Which is the nearest to 1\/2? (a) 2 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -12*f**2 - 15*f - 18. Suppose 3*r = 3*z + 12, -1 = -5*z - 26. Let l(g) = g - 1. Let d(a) = r*q(a) + 12*l(a). Factor d(c).\nAnswer: 3*(c + 2)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -2*s. Suppose -3*a + s*a - 10 = 0. Which is greater: 6 or a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -584 divided by 146.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 5:29 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 82\/(-12) - (-1)\/(-6). Let q = -8 - k. Calculate the remainder when 34 is divided by ((-63)\/28)\/(q\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 294*m - 291*m + 6*m**3 + 1 + 2 in the form r*m + w*m**2 + z*m**3 + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -44 - (-4 + 5 + 0). Let g be f\/(-6)*16\/10. Let y(a) = a**3 - 11*a**2 - 13*a + 14. What is the lowest common multiple of 20 and y(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 5*v**2 + 6*v**2 - v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*g - 13773 = -336*g. What are the prime factors of g?\nAnswer: 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 136bb4d9?\nAnswer: -136bb4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 285 or 286?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8559.309 centuries?\nAnswer: 10271170.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2290\/11 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 e, and 1 d when four letters picked without replacement from wdvleqe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 - -3. Suppose 0 = -3*k + 3*h - 6, -k - 3*h + 24 = 2*k. Which is the second smallest value? (a) d (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 6*h - 40. What is the third biggest value in -3, h, 156?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4882250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 626800 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2043 + -3439. Let y = -1396 - d. Factor -4\/7*r**4 + 2\/7*r**5 + y + 0*r**3 - 2\/7*r + 4\/7*r**2.\nAnswer: 2*r*(r - 1)**3*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -817781, 4, -1.4, -0.11 in increasing order.\nAnswer: -817781, -1.4, -0.11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38931102 divided by 6?\nAnswer: 6488517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.52 + 0.53056. Let d = y - 0.01. What is d rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 252*r - 5*r**2 + 4*r**2 - 141*r.\nAnswer: 3*r**2 + 111*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(((s*s\/(s*s*s\/s**4))\/s)\/s)\/s*s*s**2)\/(s**(2\/3))**(-10\/3)*((s**(-3\/5)\/s)\/s)\/(s*s\/(s*(s**5*s)\/s)*s)*((s\/s**1)\/s*s)**42 assuming s is positive.\nAnswer: s**(298\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/714)\/(104\/(-364)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**2 - 4*d + 10. Let p(w) = w**2 - 2. Let r(u) = -o(u) - 6*p(u). Give r(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-37)\/((-3885)\/90)*21\/4. Factor 0 + 1\/2*u**3 + z*u + 3*u**2.\nAnswer: u*(u + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/5 (b) 2\/99 (c) 642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:21 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394431 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*-1*(-4)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2055738 divided by -2055738.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 34586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 20 - 10 = 0. Let d(s) be the second derivative of 1\/30*s**4 + 0*s**2 + 5*s + 1\/15*s**z + 0. Factor d(v).\nAnswer: 2*v*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 9*z**2 - 9*z + 5. Let y = 167 + -255. Let b be y\/(-16) + 1\/2. Is s(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -404289.\nAnswer: 19\/404289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, -19, 2\/7.\nAnswer: -19, 2\/7, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -5, 1, -8 in increasing order.\nAnswer: -28, -8, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 1600 = 4*c. What is the greatest common factor of c and 750?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4 - 736*g**3 - 77816*g**2 - 1760640*g + 3838464 = 0.\nAnswer: -168, -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8095, -24019, -39943, -55867, -71791, -87715?\nAnswer: -103639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.6903 and -0.1.\nAnswer: -1.7903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.817846 rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 311.790270824?\nAnswer: 312.190270824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 6*a**2 + 10*a - 7. Let y be m(6). Let n = y - 23. 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: b\"What is the xth term of 60649, 242106, 544549, 967984, 1512417, 2177854, 2964301?\n\"Answer: x**3 + 60487*x**2 - 11*x + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -68. Let o = 48 + 39. Suppose 3*g = -g - 3*q + o, 2*q = 2*g - 40. What is the greatest common divisor of g and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let j be q(0). Suppose j = -3*l + u + 5, -l - 2*l + 5*u = -13. Solve 4*o - 2*c - l = -17, 4*o + 28 = -4*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 18*i. Let x(b) = 9*b. Suppose -2*z - 3*d - 7 = 17, 5*z = -5*d - 50. Determine z*u(q) + 11*x(q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -58. Let w = -1 + 5. Calculate the remainder when d is divided by w\/(-18) - 202\/(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -403, 3.2, -64?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, d: 1, j: 1, q: 5}. What is prob of picking 3 l and 1 j?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + 2 + sqrt(363) + 1))**2 + 1*(1 + sqrt(363) - sqrt(363) - sqrt(363))**2*-6 + 4.\nAnswer: -1808 + 198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -890663 or -890670?\nAnswer: -890663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 50*h + 1. Let z(r) = -3*r**2. What is z(y(o))?\nAnswer: -7500*o**2 - 300*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d**2 + 30*d + 152. Is o(-9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5.7. Suppose -6*l + l + s - 20 = 0, -3*s + 15 = 0. Which is the closest to l? (a) u (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 3*w - 1. Let n be ((-6 - 0)\/(-1))\/2. Let h = 0 + n. What is o(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 955600096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - u + 1. Let k(q) = 11*q**2 + 121*q - 5. Give k(h) + 5*z(h).\nAnswer: h**2 + 116*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*a = 4, -4*k - 2*a = a - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h + 3. Suppose 3*d = 2*r + 7, -h*r - 1 + 24 = 3*d. What is the highest common divisor of 45 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1603532 to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -8 + (-11 - -12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*x + 8*x. Let l be 3\/(3 - x\/2). Let k = l - -35. What is the remainder when 130 is divided by k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w + 11*w - 18*w + 2*w**5 + (0*w - 3*w + w)*(2*w**2 - 2*w**2 + 3*w**4).\nAnswer: -4*w**5 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3637 - -72621\/20. Find the common denominator of 3\/8 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {j: 1, f: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 13 = 3*f - 1, -f + 3*j = 2. Let t be (-7)\/(-4) + f\/16. Solve a = -3 - t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(sqrt(5) + sqrt(5)*-2 - sqrt(5) - sqrt(5)))**2.\nAnswer: -36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + (0 + sqrt(931) - sqrt(931)))*6)**2 + 1*(sqrt(684) + (5 + sqrt(684) + 1)**2) + 2.\nAnswer: 78*sqrt(19) + 822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2287c9 (base 13) to base 9.\nAnswer: 1476851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -4, -152, -57.\nAnswer: -152, -57, -4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -1764 in ascending order.\nAnswer: -1764, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4191 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -14. Suppose 0 = -2*c + 3*u + 10, c + 3*u - 4 = -d*c. What is the units digit of (-18)\/(1*(c + -4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -26. Let i(n) = 6 + a*n - 10*n - 14*n. What is i(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 86.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {e: 3, v: 1, y: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 + 5*c - 18. Is a(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*n*p*x**2 - 4*g*n*x + 7*g*p**3*x**2 + 7*g*p**3*x + 2*g*p**2 + 4*n*p**3*x**2 + 6*n*p*x**2 wrt p?\nAnswer: 42*g*x**2 + 42*g*x + 24*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 + 0*a**4 - 3*a**4)*(2 - 1 + 0) + (7*a**3 + a**3 - 2*a**3)*(-a - 3*a - a).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 135, 184, 233?\n\"Answer: 49*f + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/14)\/((-18)\/(-3339)). What is the second derivative of -6*s**2 + 7*s**2 - 318 + h + 60*s wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-187929)\/(-709954)*1\/(-9)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = m - 96. Let a(w) be the second derivative of w**5\/20 - w**4\/2 - 2*w**3\/3 - 5*w**2\/2 + w. Does 8 divide a(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5483582100 to the nearest 1000000.\nAnswer: -5484000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 254947 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1780 by -7.\nAnswer: 1780\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43 and (-20 + 4940\/240)*43\/(-49).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -198, -632, -1464, -2826, -4850?\n\"Answer: -22*n**3 - n**2 - 11*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) -7479 (c) 3\/4 (d) 20 (e) 3 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54478.0733 less than 0.02?\nAnswer: -54478.0533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 12*g - g)*(-136*g**2 - 377*g**2 + 75*g**2 - 124*g**2).\nAnswer: 4496*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q + 0*q - q - 2*q. Determine b(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2384*f**2 - 82\/5*f**4 - 1974\/5*f**3 - 8214\/5 - 18241\/5*f - 1\/5*f**5 = 0. Calculate f.\nAnswer: -37, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or -116?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6170*v**3*y + v**3 + 12525*v**2 - 34*v*y**3 - 4*v wrt y.\nAnswer: -6170*v**3 - 102*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhzxhzhxx. Give prob of picking 2 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 8:46 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137.5 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 - 223002*q**2 - 1337985*q - 2006964 = 0. Calculate q.\nAnswer: -222996, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 9 = -3*d. Is d at least -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, y: 5, v: 4, u: 1, d: 1}. Give prob of sequence vydu.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*sqrt(190)\/(sqrt(80)\/sqrt(128)))**2.\nAnswer: -38000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 4*l - 1. Let v be c(3). Let y = v + 144. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 811*x - 607*x = 6528 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9 = 14*h - 12*h, -3*z = -5*h. Solve 0 = -t + h*l - 5, -5 + 25 = -4*t - 5*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1547.625 and 12?\nAnswer: 1535.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 9:27 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3140877.\nAnswer: 3, 1046959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:12 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99385179 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -14*r**3\/3 - 5*r + 6. Differentiate n(t) wrt t.\nAnswer: -28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 6*x**2 + 3*x - 5. Let c be b(-5). Let w = -9 + 9. Let u = 37 + -21. Solve w = -2*o + l + 6, -c*o + l + u = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(666\/(-84) + 8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*v - 71*v + 13677 - 27364 + 2*v**3 + 13687.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32\/191 + -445\/764. Which is the third biggest value? (a) -588 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 11 - 7. List the prime factors of (((-55)\/(-2))\/x)\/(3\/(-6)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 10*r - 7. Let b be d(-8). Let l(p) = -p**3 + 9*p**2 + p - 5. Let y be l(b). Solve 4*h = -2*w + 3*h + 6, -y*w + 4*h + 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 9*c - 14. Calculate the smallest common multiple of -3 - -301 - (-6 + -4) and c.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.06 and 21?\nAnswer: -64.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20862280 divided by 5215570?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d + 19 = 4*h, -d = -1. Suppose -h = x - 3*x. Suppose -2*o = 2*y - 194, 121 + 63 = 2*y - x*o. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 12 = -24*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3203*a - 138681 = 4507*a + 54069 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3685 + 3167 - 4*p**3 - 6852.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-3))\/((-3)\/15). Let a be n\/(-20) + (-18)\/(-8). Let s(w) = 0*w + 4 - a - 3 - w. What is s(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28 - -34) + -3 + 0. Let l(s) be the first derivative of 0*s**2 - s - 2 - 4\/3*s**j. Differentiate l(d) with respect to d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36929695079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5 = 4*j + 6, 0 = 16*j + 38*i - 34*i - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31886?\nAnswer: 2, 107, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b + 2*b + 6*b - b. Let f(c) = c**2. Calculate f(s(i)).\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by (920\/(-45))\/(4 - 304\/72)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7 + 27\/7*h + 3\/7*h**3 - 18\/7*h**2.\nAnswer: 3*(h - 4)*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/19 + 1196*k**3\/19 + 202978*k**2\/19 + 7967344*k\/19 = 0. What is k?\nAnswer: -319, -223, -56, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2. Let j(b) = 6*b**2 + 6*b**2 - 14*b**2. Determine j(h(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(15\/(-6))*(741125\/(-154))\/275.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8004 divided by 6\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -42 - -40 - 2196*-1. What is the tens digit of j\/6 - 14\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 420*d**2 + 24*d + 26. Let f be k(-1). Suppose -f*g - 33412 = -424*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3, -2*h + 430 = -2*i + 440 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 5*y - 6. Let n be k(4). What is the remainder when n + 57 - (-1 - -3) is divided by (-12)\/7*(-84)\/8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(16\/10)*(-1)\/(700\/(-168))*35.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1818 and 243.2301.\nAnswer: 2061.2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + h + 165. Suppose 0*n + 25 = 5*t + 4*n, -7 = -3*t - 4*n. What is the least common multiple of t and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -455 - -450. Is (p + 95)\/(-4*(-1)\/36) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 4, h: 10, w: 3}. Give prob of picking 2 t and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 16.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + g + 6. Let c be (10\/3)\/(4\/6). Let o be q(c). Let w = -37 + o. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 7:17 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 518 + -27. Suppose -5*v = -3946 + y. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g + 3*g - 12*g**4 - 3*g**2 - 2 + 17*g**4 to m*g**2 + r + o*g + i*g**4 + j*g**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3993, 5955, 7903, 9831, 11733, 13603?\n\"Answer: -r**3 - r**2 + 1972*r + 2023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -772.39 + 772.390043299. What is d rounded to 6 decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + sqrt(68)*-1 + sqrt(68))**2 - 3*((sqrt(68) + 1)**2 + sqrt(68)))*-3 + (5 + sqrt(68)*-2*6 + 3)**2.\nAnswer: -330*sqrt(17) + 10462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-171)\/(-36) + 2\/8. Suppose 0 = s - o - 39, w*s + 2*o = o + 165. Solve -5*r = 3*z - 10, -5*r - s = -4*z - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 1 + 15*g**3 - 5*g**3 + 25*g**3.\nAnswer: 32*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p - 15*p + p + (-38 + 28 + 63)*(2*p - 5*p + 4*p).\nAnswer: 35*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93213538?\nAnswer: 2, 11, 53, 79943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:36 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1939\/(-2770) + (-22)\/(-10) + -1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -57. Let g = -24 + n. What is the third smallest value in -0.4, 1, 4, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190440 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29713\/6 + -4972. Find the common denominator of 167\/240 and y.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 2.484253\nAnswer: -0.7452759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -13*q. Let f be w(-1). Suppose 940 = s + s. Suppose -3*p = -5*g + s, 0*g = g - 4*p - 111. Calculate the highest common factor of g and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.009 - -1.009. What is the third smallest value in -0.05, -1\/5, m, -0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -37. Let g(i) = -i**2 + 6*i + 8. Let w be g(6). What is the smallest common multiple of v and 36\/w*4\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23718 and 8850.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.010483 + 129.\nAnswer: 134.010483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 210*q - 895*q + 10287 - 8219 - 47963 for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431909255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 112682?\nAnswer: 225364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20*2678\nAnswer: 53560","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(28))*-5.\nAnswer: -10*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20\/43, -1\/8, -19, 0.5, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2 - 13*b - 12. Determine p(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 126. Suppose -5*o = 4*n - 4*o - 220, -288 = -5*n + m*o. Let h = 909 - n. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7026 and 934458?\nAnswer: 934458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.03, 711143, -0.13 in increasing order.\nAnswer: -0.13, 0.03, 1\/4, 711143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**5 - 525*y**4 + 13745*y**3 - 25935*y**2 + 12710*y = 0.\nAnswer: 0, 1, 41, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.6217 take away 0.06?\nAnswer: 36.5617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 y when four letters picked without replacement from {i: 4, l: 7, y: 7}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24209174*p**4 - 4896243*p wrt p?\nAnswer: 290510088*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.989994 decades in years?\nAnswer: 9.89994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2712 and 501720?\nAnswer: 501720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1962\nAnswer: -1\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m**3 - 1564*m**2 + 260*m = 0. Calculate m.\nAnswer: 0, 1\/6, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0 - 12. Let x = w - 8. Let g = 913\/1160 + 3\/232. Which is the second biggest value? (a) x (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 2. Let y(d) = -2*d**3 - 5*d**2 - 11 + d**3 - 5*d + 8. Let o be y(-3). Determine w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {q: 1, y: 4, d: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 4 + 7 - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*v - 5, -v = -2*w - 4*v + 5. Let q = -3 - w. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26676*n + 3118*n - 2720*n in the form l + x*n and give x.\nAnswer: 27074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 797278.3 meters in millimeters?\nAnswer: 797278300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15407 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 10:54 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 19 = 5*p - 0*p, 2*x - 5*p - 31 = 0. Suppose -5*s - z + 94002 = 0, -2*z = -x*s + 56085 + 311. What is s rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4943*w - 369408 = 169379 for w.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64443\/5 - 12889. Let h = 17 - 14. What is the third smallest value in -4\/9, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4136, -4142, -4158, -4190, -4244, -4326, -4442, -4598?\n\"Answer: -a**3 + a**2 - 2*a - 4134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/3 - 25\/3*s**2 + 5\/3*s**4 + 5*s - 5*s**3.\nAnswer: 5*(s - 4)*(s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.071\nAnswer: 0.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*q**3 + 1\/4 - 1\/4*q - 1\/4*q**2 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 17758 = -52318. Suppose 13*m = 5*m - q. Round m to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*w - 50028, 849*w - n = 844*w + 62547. What are the prime factors of w?\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2888?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0 + 1\/12*g**5 + 2*g**3 + 12*g**2 + 0*g**4 + 0*g. Is r(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llelvxcxqlxq. Give prob of sequence el.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-3*i + 12*i + 4*i) - 6 - 30 - 8 + 5*i.\nAnswer: -8*i - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 2915 and 2915 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 198505265?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*j + 0*j - 189*j**2 + 196*j**2 + (-4*j + 3*j - 2*j)*(10*j + 6*j - 2*j) + 15*j - 7*j**2 - 15*j to h*j + w + l*j**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/16*(-130)\/(-39) - -1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 157489478 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.008 and 0.211503.\nAnswer: -0.001692024","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -72.7 minus -48662?\nAnswer: 48589.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m + 5*m - m**4 - 54*m**2 + 3*m - 173*m**2 + 104*m**2 + 2*m**3 to the form j*m**3 + q*m + g*m**4 + l + s*m**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 581330 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1925)\/(-308))\/((-35)\/(-14))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1931, -1929, -1927, -1925, -1923, -1921?\nAnswer: -1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.183 + -672.083. Let h = -668.84347 - m. Let x = 0.057 - h. What is x rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 6)*(-2*h + 2*h - h + (-2*h - 1 + 1)*(5 + 0 - 4) + 0*h + 0*h - 2*h)*(118*h**2 + 35089*h - 35089*h) as z + o*h**3 + i*h**2 + k*h and give o.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12a741 (base 11) to base 6\nAnswer: -4214531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n. Let i(w) = -5*w. Let t(k) = -4*h(k) + 6*i(k). Let f(z) be the first derivative of -3*z**2 - 1. Calculate t(f(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 939 - 480 = 470, 2*u - 4 = 3*k - 5*k - 21 - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n**3 - 10*n**2 + 14. Let k(w) = -2*w**3 + 2*w**2 - 3. Let s(r) = 14*k(r) + 3*p(r). Factor s(u).\nAnswer: 2*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19706899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25\/(-9) - 2\/9. Let v be -12 - ((-34)\/(-2) + -20)\/(25\/95). Let y = -1 - -5. Which is the smallest value? (a) 3 (b) u (c) v (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*c - 3*c + 5*c.\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 - 62. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 11. Let k be p(-5). Let l be (-11 - 1)*(-4)\/k. Suppose -l + 26 = 3*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12981924 divided by -6\nAnswer: 2163654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -23 + (-15 - (-481)\/13). Let g(a) = -3*a**2 - a + 1. Let o(i) = -1. Let w(t) = g(t) + 3*o(t). Give w(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3935 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -136 (b) 0.2 (c) 2 (d) 42 (e) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -2 - -2) + -2. Suppose g + g = 6. Solve b + d - 2 = -d, -3*b + 3*d - g = a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, -11, 0.4, 14, -2\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 827*y + 78. Let f(x) = -1656*x - 134. Calculate -3*f(k) - 5*r(k).\nAnswer: 833*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 - 15*m - 25. Let q(o) = o**2 - 12*o + 8. Let k be q(12). What is the tens digit of i(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 37, 58, 73, 82?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/4 - 2\/8. Let j = -7 + 1.8. Let v = 5 + j. What is the biggest value in g, v, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**2*p**3 + 20*c**2*p**2 + c*p**3 - 13*p**3 - 12 wrt p?\nAnswer: 42*c**2 + 6*c - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*(3028\/(-12) - 1). Suppose -w + 5*a = w - 75, 2*a = -4*w + 186. Let r = o - w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2461 + 2466. Let h = 10 - 6. Find y, given that -14*y**4 + 2*y**4 - 2*y + h*y**4 - 8*y**2 - 2*y**a - 12*y**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 5580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0 (c) 23 (d) -90 (e) 3\/5 (f) 8 (g) -4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -464 and 15.\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 2\/9, 0.2, 6841?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*147.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 34*j**3 + 4*j - 3. Let a be v(3). Suppose 63 - 37 = 16*p - 86. Let w be p\/((-84)\/a)*-4. Round w to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-720)\/90*1\/(-1 + 0). Let s be (-1 + 9)\/a + (-1)\/1. Solve 6 = 2*f - s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5722 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o - 356*o + 311060 = 0. What is the remainder when o is divided by 221?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 2:02 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -26 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184610854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 greater than -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*y + 15 = -2*y, -4*y = 3*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 - 4 + 2 + 0)*(19*m**2 + 2*m**2 + m + 182*m**2 + 1) to c*m**3 + i + a*m + n*m**4 + l*m**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 40 - 50 = 0. What is the third derivative of -a*t**3 - 28*t**2 - 14*t**2 + 7*t**2 - 28*t**3 wrt t?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*b = 5, -a - 6*b = -2*b + 41776 - 41761 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b**3 - 4 - 181*b**3 + 4 - 138*b**3 + 847*b**3.\nAnswer: 500*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 22220?\nAnswer: 22220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138888 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 0, -5*x = 5*j - 2*j + 64500. Round x to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 6549?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60771 - -60766. Let w = -2 + -2. Sort w, 17, r, 5 in ascending order.\nAnswer: r, w, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 20. Let l be t(-10). Let i = 1163\/24892 + -3\/508. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*j + 4, -d + 2 = 2*j - 6*d. Let p(s) = s + s**2 - 8*s + 2*s + j + s. Let k(a) = -4*a**3 + a + 1. Let o be k(-1). Calculate p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 167*q**3 + q**2 + 0*q**2 + 1004*q**3.\nAnswer: 837*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o - 2*o - 3 + o**2 - 2*o**2. Let p be w(3). Let x(f) = -f**3 - 4*f**2. Let u be x(-4). Sort u, p, -4 in ascending order.\nAnswer: -4, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200 a factor of 43398400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 0*u**2 - 7*u**2)*(-7*u + 3*u - u) + 6*u**3 - 7*u**3 - 7*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j. Let v(p) = 3*p - 69. Let i be v(23). Let s(r) = i + 3240*r - 3196*r + 0. Give b(s(t)).\nAnswer: 132*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {e: 2, w: 7, m: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 6*y + 4. Suppose 5*z - z = -4*i - 16, -10 = -5*i. Let c be p(z). Let h be -3 - -4 - (3 - 3). Do c and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450460 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 990.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2 + 26921777*r + 134608910 = 0.\nAnswer: -5, 26921782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 216*u + 3. Let s(x) = 206*x + 2. What is 6*p(t) - 7*s(t)?\nAnswer: -146*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5082 times -43?\nAnswer: 218526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 14*y**2 + 76*y - 36. What are the prime factors of d(-15)?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 60 = -7*q + 2*q, 2*d + 16 = 3*q. Suppose 0 = -6*c + 2*c - 4. What is the remainder when (-178)\/(-8) + c\/4 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839358 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 - -2.01. Let r = -2 + z. What is r rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 44 = 92. Let b = i + -38. Let g(n) = n + 1. Let m(a) = -a + 4. Calculate b*g(u) + m(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 884 + -883.9344. Let t = v + 4.9344. Which is the fourth biggest value? (a) 0.1 (b) t (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/545875 and -19\/100441000.\nAnswer: 100441000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-16*(-3)\/(-504))\/((-1)\/161)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*t + 23 = -7, 5*f = -3*t - 51. Let a = 5.39 + -0.39. Sort a, -0.4, 0, f.\nAnswer: f, -0.4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c - 23. Let m be z(3). Is m*(-333 - (-12)\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(242))**2*-1 + (-5 + -1*sqrt(8))**2.\nAnswer: -209 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2122 + 2122.0007203. Round a to 5 decimal places.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.44 + -0.04. Let x = -0.4 - z. Let o = -3.1 - x. Is -2 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 17 = g, g = r + 19 - 8. Put 0, -4, 6, 10, g in increasing order.\nAnswer: -4, 0, g, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 6*n**2 - 6*n - 4. Let x be b(-7). Let c = x + 56\/5. Let y = 0.1 - 0. What is the closest to c in y, -2, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21379 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 6*y - y + (902 - 1249 - 3423)*(y - y + 3*y).\nAnswer: -11308*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5015\/(-20910) - (-5)\/30.\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*i**2 + 956*i**2 + 1405*i**2 + (2 - 2 + i)*(0*i + i + 2*i - 5*i + i + 2*i + (6*i - 4*i - 4*i)*(1 + 1 + 1)).\nAnswer: 2286*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u + 5*d - 160, -2*u - 2*d = -328. Suppose u*f - 15 = 170*f. Let j(g) = g + 1. Let w(h) = -5*h - 4. Give f*j(z) - w(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put -7, 19\/2, 1, -4, -0.45, 113 in decreasing order.\nAnswer: 113, 19\/2, 1, -0.45, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4446 + -3945. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 20*u - 18. Let m be v(16). Let d be ((-69)\/m)\/(6\/(-32)). Suppose 0 = -d*j - 8. Let s(i) = -7*i. Give s(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*3\/6*0. Let w(r) = 2*r**2 - 1 + r + b + 21*r**2. Is 16 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4\/3 + 1556*w**3\/3 - 9878*w**2\/3 - 368936*w\/3 - 119168 = 0.\nAnswer: -784, -12, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, -11, -72, -157?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 + -0.06. Let a be 0 - 1\/(5\/2). What is the closest to -2 in -1\/5, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h - 3*q + 248, 0 = -5*h + 5*q - 1270. Let x = -122 - h. What is x rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 - 2.79065.\nAnswer: 25.20935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 7. Let n be (-1 + 3)\/(p\/(-9)). Put 3, n, 3\/5 in increasing order.\nAnswer: n, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -478*d + 962 - 715 + 2728 + 3717 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71 or 1712.9?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6.31, -90, -5, 0.2, -6 in descending order.\nAnswer: 3, 0.2, -5, -6, -6.31, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-392)\/(-72) + 12\/(-27)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22.9 (b) 9\/28 (c) 739\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11947*p - 11909*p = 418 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*n - 1. Let w(o) be the second derivative of -o**4\/12 + o**3\/2 - 5*o. Let f be w(n). Solve f = 7*h - 4*h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3694513, -3694511, -3694509, -3694507?\nAnswer: -3694505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 30.9. Let o = y - 12.452. Let j = 0.048 - o. Which is the smallest value? (a) 3 (b) j (c) -5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 81, 83, 85?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12431*j + 579 = 12238*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*r + 117*r - 138 = 0. What is the third derivative of r*n**3 + 29*n**3 + 87*n**3 - 2*n**2 - 12 - 25 wrt n?\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.31 - -0.31. Which is the closest to -2? (a) w (b) -2\/5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1. Let u(z) = -2*z + 12. Suppose 7 = -w + 3, w + 5 = -k. Suppose 341*i - 336 = 369*i. Determine i*l(s) + k*u(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**5 - 138*b**4 - 1095*b**3 - 954*b**2 = 0. What is b?\nAnswer: -6, -1, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/6 and 46\/405.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 3*n**2 + 0*n - 2*n - 2 + 0*n**2 + n. Let y be (1\/(-2))\/(2\/(-8)). Give t(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68 and 10.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 679.2 - 5130.2. Let v = r + 4452.823. Let y = v - 1.97. What is y rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**8\/252 - 32*f**7\/315 + f**6\/6 - 639*f**2. Factor b(y).\nAnswer: 4*y**3*(y - 15)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15133.9 - -0.155.\nAnswer: -15133.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 66. Let p = -20 + u. What is the closest to p in -4, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 101 + 16. Suppose 4*i - 3*s - 32 = -7*s, 4*i - 3*s = l. Suppose 0 = 4*o - 9*o + 25. Solve 2*w + 3 = -2*z - 3, -w = -o*z - i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134539 or -42?\nAnswer: -134539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7.751324 weeks?\nAnswer: 54.259268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 660 and 429.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109177*f*t*u + 77*f*u**2 - 1917*t*u - 2*t + 822*u**2 wrt f.\nAnswer: 109177*t*u + 77*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -40500*q**5 - 124200*q**4 - 89160*q**3 - 50224*q**2\/9 - 364*q\/3 - 8\/9 = 0. Calculate q.\nAnswer: -2, -1, -1\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59, -83, -131, -209, -323, -479, -683, -941?\n\"Answer: -o**3 - 6*o**2 + o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2, 3*h + 16 = 4*s + h. Let c(t) = -177*t - t**2 + 177*t. Let i(k) = -k**3 + 5*k**2 + k + 2. Give s*c(v) + i(v).\nAnswer: -v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 3. Let w be b(-11). What is the third derivative of -w*n**2 + 14*n - 12*n**2 - 14*n + 14*n**3 wrt n?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 - 94*b**4 - 1090*b**3 - 2850*b**2.\nAnswer: 2*b**2*(b - 57)*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 4*c. Let v(f) = -3*f**2. Determine v(t(z)).\nAnswer: -27*z**4 + 72*z**3 - 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 0*f**6 + 1\/112*f**8 + 0*f**7 + 4*f**2 + 0*f + 0*f**5 + 1\/8*f**4 + 0 + 0*f**3. What is the second derivative of u(h) wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2079.9 and 55027.\nAnswer: 114450657.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 7, -80276 in ascending order.\nAnswer: -80276, -2\/19, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 198827.0902 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 7*b = -2*j - 19, -5*j + 3*b = 0. Suppose 3*g = 2*s + 3*s - 2, j = -s + 4*g. Let d = 13 + -9. Solve -s = h + d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37763933 and 5138?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -354 + 24?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**8\/14280 + z**6\/1020 - z**5\/510 + 2*z**3\/3 - 6*z. Let g(l) be the second derivative of u(l). Factor g(x).\nAnswer: -2*x*(x - 1)**2*(x + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*-0.3795101\nAnswer: -0.64516717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**3 + 10*u**3 - 2*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 15428*w\/5 - 3086.\nAnswer: 2*(w - 7715)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, w: 5}. What is prob of picking 3 h and 1 w?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/30 + 5*b**4\/6 - 25*b**3\/3 - 6*b**2. Factor d(j).\nAnswer: -2*(j - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-10)\/(-533))*2. Is -534 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 61. Let i be (-160)\/(-2) + q\/3. Let c = -73 + i. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 0*h**2 - 1\/3*h**3 + 1\/6*h**4 + 0 - 5*h. Suppose a(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3013541, 3013253, 3012473, 3010955, 3008453, 3004721?\n\"Answer: -41*x**3 - x + 3013583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.39 take away -196474328?\nAnswer: 196475169.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-3)\/(-24))\/((-9)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.124259 to 1 dp.\nAnswer: 66.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 3*o**2 + 4. Calculate p(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*a, -5*y + 2*a + 27 = -2*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/9*(-9288)\/(-3870).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -298*q + 7819. What is r(29)?\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*d - 2*d. Let a be (3 - 17\/5)\/(2\/(-190)). Suppose -a*p - 185 = -p. Which is smaller: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/(27\/(-12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41069271 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*d - 10, -2*d - 3 = 4*q + 1. Suppose q = -4*m + 4*x - 104, -4*m + 4*x = m + 126. What is the units digit of (11\/m - (-197)\/10)*15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/15 - n**4\/24 + 7*n**3\/6 + n**2. Let v(s) = -s**2 - 1. Let w(z) = f(z) + 5*v(z). Find u such that w(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:42 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-24))\/(30\/(-16))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51\/8 or 0.47406?\nAnswer: 0.47406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 29 = 5*b, 0 = -81*m + 77*m + b - 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.49 rounded to 0 decimal places?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**6*x + 62*m**5*x**3 + 6*m**2*x**2 - 15*m*x**3 - m*x wrt m?\nAnswer: 240*m**3*x + 3720*m**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -14*b + 9. Suppose -2*z - 2*l = b*l - 76, -5*z + 2*l + 219 = 0. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 10 + 8 = 0. Let x = l - -13. Let w(r) be the third derivative of -r**6\/120 + 2*r**5\/15 - 5*r**4\/12 + 3*r**3\/2 - 274*r**2. Calculate w(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40363 and 6172643?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29920 = -966314*r + 966586*r for r.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/9 (b) -0.02 (c) -0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 81*a - 67*a - 14*a**3 - a**4 + 49 + 106*a**2 - 154*a**2 = 0?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(160\/(-84)))\/(2\/(-4))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50766 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a - 40*a**2 + 18*a - 26*a to q*a + k*a**2 + m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (7 - -2 - -6). What is the third derivative of -6*p**2 + 87*p**4 - 2*p**4 + 18*p**2 + h*p**2 wrt p?\nAnswer: 2040*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4005 - -1422110?\nAnswer: 1430115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4897946 or 1?\nAnswer: 3\/4897946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12821226 to the power of 1\/2, to the nearest integer?\nAnswer: 3581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20, 34, 70, 140, 256, 430?\n\"Answer: 2*y**3 - y**2 + 3*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810994534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -17\/18 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**2 + 80*q - 400 = 0.\nAnswer: -20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -421828, -843664, -1265500, -1687336?\n\"Answer: -421836*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/11*(1130 + -1383)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 4*n + 3. Let o be z(-2). Suppose -2*b = o*b - 2135. Suppose 4*l + b = 3*c, 3*c - l + 727 = 8*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18309300 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -146*v - 1871. What is the thousands digit of b(-54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 4*j - 11. Let g be (-114)\/(-4)*(11 - (-92)\/(-12)). Calculate the highest common divisor of j and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-5) + 1 + 29\/5. Let g be (-40)\/w*(-60)\/16. Let d = g + 38. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/15)\/(4\/222). Let t = a - 37. Suppose 4*j = -5*q + 227, 4*j + 3*q - 237 = -t*j. 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: b\"What is the th term of -69018, -138036, -207054, -276072, -345090?\n\"Answer: -69018*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -462 - -471. Calculate the highest common factor of f and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.115*-4.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) + -1)*2 - (sqrt(14)\/(sqrt(6)\/sqrt(3)) - (sqrt(847) + 1)**2).\nAnswer: 29*sqrt(7) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + g**4 - 4*g**4 + (-5*g**4 + 2*g**4 + g**4)*(0 - 4 + 3) + g**4 + g**4 + 0*g**4.\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m. Let t(k) be the second derivative of -2*k**3\/3 - k. Let r be -1 - -14 - (2 - (6 + 1)). Let j = r + -10. What is j*b(h) + t(h)?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9664*9851\nAnswer: -95200064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -19. Suppose -2*x + 3*d + 30 = y, 0 = -3*x - 2*x + 5*d + 85. What is the units digit of x + 0 - (-4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361, -362, -363, -364, -365, -366?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r*r**0*r))\/r)\/r)**(1\/2))**(-3\/7) assuming r is positive.\nAnswer: r**(9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.805847 to 2 decimal places.\nAnswer: -31.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, -133, -507, -1239, -2449?\n\"Answer: -20*z**3 + z**2 + z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1365 = -115. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(((-6)\/(-4))\/(-1)) + 369 + -360. Which is the nearest to m? (a) 15 (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 0*j - 4*j + 5 - 3. Let p be m(5). Let g be 20\/(-135)*(0 - p). Which is the second biggest value? (a) -2\/3 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z. Let s(w) = -2862*w. Give p(s(n)).\nAnswer: -28620*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23c07e (base 15) to base 7\nAnswer: 20355023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86444*s + 380241*s - 2 + 2.\nAnswer: 293797*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1943599 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -341 + 342. Suppose 3*w - 5 - 1 = 3*g, 0 = 2*g + 2*w + 4. What is the third biggest value in n, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -161311 and -3.\nAnswer: -161314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*q - 9. What is the nearest to -1 in 5, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 = 101*f - 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 842875 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360 - 1180 + 395 + 367 - 5*y**3 - y**3.\nAnswer: -6*y**3 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 37.32016.\nAnswer: 7.464032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1545 - 317 = 2*u + 251*u - 290 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 873 = 3*q, v - 5*v = 5*q - 1455. Suppose 5*f + t = -3*t - 303, -5*f - q = -2*t. Let u = f + 96. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 46662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 + 3*r**2 - 3*r**2. Suppose -k = -0*k - 9. Let x(f) = -3*f - 5*f + k*f. Give x(i(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1350\/(-189))\/(15\/35))\/(2\/(-3)). Let v be (60\/(-3))\/((-2)\/25). What is the highest common factor of v and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-33) - (-3288)\/(-308). Let l be (543\/(-252))\/(2\/10). Let c = l - w. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let k(w) be the first derivative of w**4\/12 - 7*w - 1. Let a(s) be the first derivative of k(s). Give a(l(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25220)\/22310)\/((-36)\/(-69))?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17055 - 119384\/7. Let q = 0.04 + -2.04. Which is the nearest to -1\/3? (a) m (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095316068 to the power of 1\/4, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 2*o**2 + 26*o - 42. Calculate the least common multiple of 10 and g(-12).\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*1*sqrt(156))\/(3*(sqrt(12) + sqrt(48))) + (-2 + sqrt(468) + 4 - (6*(-1 + sqrt(468)) + sqrt(468))))*3)**2.\nAnswer: -5232*sqrt(13) + 155029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14139522.\nAnswer: 2, 3, 87281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -3071?\nAnswer: -3075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1529*j - 55932 - 45627 + 16518 = -16236 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284989 is divided by 133.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4364401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2175505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0 - 4. Suppose p*r + 6 = 7*r. Suppose 4*g = f + 3*g + r, f - 18 = -3*g. Solve f*l + 6 = -3*t, -l + 1 = -4*t - 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 49\/5 of a kilometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7996?\nAnswer: 2, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33756 and 19788.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7696\/(-24) + 6)*1\/4. Let o = -79 - t. What is the closest to o in 1, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**7\/2520 + p**6\/240 + p**5\/40 - 5*p**4\/12 - 15*p. Let t(a) be the third derivative of s(a). What is t(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87*100\/(-15950)*-121?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1553 + 2102 = 149*d - 880*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 18*c - 8 + 17*c + 31 + 43*c - 76*c. Let j(r) = -r - 12. Give 3*b(y) + 5*j(y).\nAnswer: y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-80) + 41\/(-5). Let a(f) = -f**2 - 8*f. What is a(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, o: 3, p: 2, q: 3, h: 2}. What is prob of picking 2 q, 1 p, and 1 o?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12106.3 - -256.\nAnswer: 12362.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 2\/5*c**5 - 7*c**2 + 83\/3*c**3 + 116 + 0*c**4 + 4*c. What is the second derivative of d(m) wrt m?\nAnswer: 24*m**2 + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -563*t. Let p(a) = 441*a**2. Determine g(p(l)).\nAnswer: -248283*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11474 - 22668 + 11715 + 2*i.\nAnswer: 2*i + 521","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/((-1364)\/(-462)))\/((-3)\/6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 10*q. Suppose -4*n + 69827860 + 2172164 = q. Suppose 0*s - 3*s - 4*y = 27000012, 2*y + n = -2*s. Round s to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 4*u)*((-4 - 2 + 2)*(0*u + 0*u - 4*u) + (2*u - 3*u + 0*u)*(1 - 1 - 1)).\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 12*g**2 - 7*g - 12. Suppose -4*f - 5*t = 43, 0 = 5*f - 2*f + 3*t + 33. Let l be n(f). Calculate the greatest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41088467 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14195793, 14195792, 14195781, 14195754, 14195705?\n\"Answer: -d**3 + d**2 + 3*d + 14195790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9822 + 2?\nAnswer: 9824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from ssrussusuxqrrlsssq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 6. Let w = 22.6 - d. Let c = -0.6 + w. What is the third biggest value in 2, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**9\/9072 - z**8\/5040 + 2*z**3\/3 + 2*z. Let i(a) be the second derivative of u(a). Suppose i(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**3 - 5*q**3 - q**2 + 6*q**3 - q)*(0*q + 3*q + q) in the form t*q + z*q**3 + s*q**2 + l*q**4 + x and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7154850 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 447196452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 440164616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 6*i + 8. Let w be x(-6). Suppose -5*o - w = -33. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1251059 or -1251062?\nAnswer: -1251059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 1. Suppose 269*j - 440 = 261*j. Suppose -600 = -j*p + 31*p. What is the remainder when p is divided by h(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.126 + -42.4. Let k = 0.292 + m. What is the smallest value in k, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2\/3*q - 2\/3 - 1\/6*q**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**4\/2 + 4*h**3\/3 - 2*h**2 + 5*h + 2. Let k(w) = -2*w**3 + 5*w**2 - 5*w + 6. What is 4*k(x) - 5*s(x)?\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 24*c**2 + 390*c + 1100.\nAnswer: -2*(c - 22)*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 59.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3742104082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -602871, -1205745, -1808619, -2411493?\nAnswer: -3014367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1090.3\nAnswer: 1094.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d = m - 41*d - 12, -20 = 3*m - 5*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**4\/6 + 25*m**3\/3 - 25*m**2 - 12. Let v(p) be the second derivative of u(p). What are the prime factors of v(16)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(2 - 6) + -1. Solve 2*s - w = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -17*n**3 - 3*n**2 - 4*n + 2. Let q be l(-1). Calculate the highest common factor of q and 2265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l = -184. Suppose 5*a + 50 = -0*a. Is (a + -4)\/(4\/l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11726445*t**2 - 2247373 wrt t?\nAnswer: -23452890*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 1:38 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230043 + -402?\nAnswer: -231000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -271*c + 14242. Determine s(46).\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -11544, -4 in ascending order.\nAnswer: -11544, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6945 and 3620488.\nAnswer: 3613543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 4, -5, 46\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*f*t**3 + a**3*f - 8*a**2*f*t**3 + 13*a**2*f*t**2 + 2*a*f*t**2 - 38*a*t**3 wrt t?\nAnswer: -6*a**3*f - 48*a**2*f - 228*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 3*x - 3. Let g be o(2). Let d = g - 5. Let j(i) = 3*i**2 - 3*i + 3. List the prime factors of j(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 38 = -5*c. Let l = 5 + -2. Solve 2*a + 1 = z + c, -l*a - 4*z = 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 1, q: 1, j: 1, w: 1}. What is prob of sequence jd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164\/2029 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/3)\/(1\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 122*h - h**2 - 168446*h**3 + 168448*h**3 + h**4 - 28 in the form a*h**3 + s*h + m + f*h**4 + i*h**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23, 0.8, 0.4, -0.3 in descending order.\nAnswer: 23, 0.8, 0.4, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51627 is divided by 116?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 11712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - 3402*n + 3397*n + 0*n**4 - 2*n**4 + 2 in the form o*n + k*n**3 + u + z*n**4 + i*n**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9167 + 1\nAnswer: -9166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212301310 + 13?\nAnswer: 1212301323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-2*v**2 + 3*v**2 - 3*v**2) + 530*v**2 - 163*v + 581*v**2 - 1130*v**2.\nAnswer: -15*v**2 - 163*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:33 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -2.7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.683085 to 2 dps.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -5 + 0*w**3 + 3\/5*w**5 - w**4 - 1\/10*w**6 + 3*w + 0*w**2. Let g(r) be the first derivative of x(r). Factor g(d).\nAnswer: -3*d**2*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 12:20 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 5 + -4 + 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 77. Let i be x(-11). Suppose -i*q = -9*q - 4. Let f(w) = -3*w**2 + w**q + 630*w - 630*w. Let y(t) = -t. Determine f(y(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1*z)**30*z*(z\/(z\/(z**(-6)*z)))\/z*z*z**(2\/7) assuming z is positive.\nAnswer: z**(604\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2214 + -906. Suppose -2*r + f = 3*z, -2*r - 959 = -4*z + 771. What are the prime factors of z?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11365415?\nAnswer: 5, 2273083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22.403 and -5?\nAnswer: 27.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 196, 489, 902, 1435, 2088?\nAnswer: 2861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 840357959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6*a = 8*a - 2, -2*u - a = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 2*d - 5*d + (-3 + 1 + 0)*(-1 + 2*d + 1) - d - 2 + 2 - 36*d - d + 2*d + 3 - 10 + 4 + 5*d as o*d + s and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -38 + 28. Suppose -w*p = 5*g + 15, 15 = -2*p + p - 4*g. Suppose -15 + 5 = -p*l. Solve -l = v + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 8 - 7)*(-2 - f - 3 + 4) to the form j + t*f and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + 21*k**2 + 11*k - 21. Let p(o) = o**3 - 10*o**2 - 5*o + 10. Let m(z) = -6*l(z) - 13*p(z). Calculate m(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - o - 10. Let f be q(0). Let l be 1\/3 + 4*f\/(-15). Suppose -104\/5*u**2 + 98\/5*u**4 + 0 + 28*u**l + 16\/5*u = 0. What is u?\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/5 - 662*z**2\/5 - 1977*z\/5 = 0.\nAnswer: -659, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 1\/2, -3, 1\/5, -1\/6.\nAnswer: -3, -1\/6, 0, 1\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/22 + (-21 - 8246\/(-209)). Solve 0 = x*t - 35*t + 18*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2054\/(-5135))\/(2\/420*2)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or -100?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3 + 10*c + 61?\nAnswer: -6*c**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.5 + -3.5. Let o = 23.4 - q. Sort -2\/9, 0.2, o.\nAnswer: -2\/9, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412422 (base 6) in base 2?\nAnswer: 1000000011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1, -1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8407 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 82206060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 1:54 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -24. Let y(h) = -6*h**2 - 4*h - 35. Let c(m) = -2*q(m) + y(m). Let v(x) = -3*x**2 - 2*x + 6. Give -6*c(a) + 13*v(a).\nAnswer: -3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -73705, -73734, -73763, -73792?\n\"Answer: -29*c - 73676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03121, 4, 0.2?\nAnswer: 0.03121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-54)\/12 + 4). Let l = 27 - 31. Let i be 4\/(-16)*l\/(-19). Is i less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.09 (b) -1443 (c) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5 - 3984*t**4 + 47484*t**3 - 142128*t**2.\nAnswer: 3*t**2*(t - 1316)*(t - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -235 divided by 47\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let l(w) = 60 + w + 653*w**2 + 19*w**2 - 60. What is p(l(q))?\nAnswer: -672*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3048 = 2*o + 3085, 2*o = -4*s + 26 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4 + 3262*n**3 + 1302566*n**2 + 7727538*n + 11547432 = 0. What is n?\nAnswer: -949, -676, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27673173 (base 8) in base 4?\nAnswer: -113313121323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 27.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -225, -321, -397, -447, -465?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**8\/42 - n**7\/70 + n**6\/15 - 12*n**2. Let t(z) = 55*z**5 + 20*z**4 - 55*z**3. Let a(i) = -3*t(i) - 20*w(i). Factor a(j).\nAnswer: -5*j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 126. Let j be (-16)\/88 - (-34)\/g. Which is the third smallest value? (a) 1\/8 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqy when three letters picked without replacement from {g: 4, q: 3, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1997 - 6?\nAnswer: 1991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 20 = 2*s. Suppose -o + 0 = 3*v - s, 3*o - 1 = -2*v. Factor -1\/4*m**v - 1\/4 - 1\/2*m.\nAnswer: -(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 - 47 - 595*q - 47 + 148)*(4 + 1 - 6 + 3 + 1 - 6 + 2 + 1 - 4 + (1 - 1 + 4)*(0 - 1 - 1)).\nAnswer: 7140*q + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -0.145886736?\nAnswer: -0.145886736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (66 - 66 + 13*m)*(-4*m**3 - m**3 + 4*m**3) + m**4 - 2*m**4 + 0*m**4 in the form w*m + z*m**4 + i + n*m**2 + x*m**3 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7))**2*-5*-1.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 422.1 - 1\nAnswer: 421.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 662*f**4 + 14068*f**3 + 25743708*f**2?\nAnswer: 15888*f + 84408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1964077*x**4 - 5041*x - 3 wrt x.\nAnswer: 23568924*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 271 and 2273?\nAnswer: 615983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -83*y - 409. Calculate the lowest common multiple of 117 and k(-5).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 11*a**2 + 41*a - 12. Let m be i(-14). Suppose m*r + 19 = h, -5*h - r = r - 131. What is the highest common factor of h and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79.1 + -79.1. Suppose 4*q - 4 = 4. Let y be q\/(2 - (0 + -17)). What is the nearest to v in 0.4, y, 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10568*-2007.\nAnswer: 21209976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 1879 + g - 1878)*(3*g - 9138*g**3 - 3*g + 9115*g**3).\nAnswer: -115*g**4 - 23*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-21)\/56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70827576 divided by 804?\nAnswer: 88094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-2))\/(9\/12))\/(174\/(-2697))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and -2.447?\nAnswer: 6.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3\/7 - 1634*o**2\/7 - 54932*o\/7 - 150144\/7 = 0?\nAnswer: -782, -32, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**6\/360 - 13*f**3\/3 - f**2\/2 + 66. Let w(d) be the third derivative of u(d). Let a(p) = 2*p + 1. Calculate w(a(b)).\nAnswer: 4*b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -16. Let f be 10 - l*4\/(-1). Suppose -6*v + 8*v + f = 0. Put v, -5, -1 in increasing order.\nAnswer: -5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*c - 15 = 0, -3*c + 1 = 2*g - 3*g. Suppose 0*r + 4*r - g*b = 0, 5*r = -4*b + 26. Solve r*k + k + 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - 100*a - 286. Let i be j(36). Solve i*p - 584 = -572 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(288) + 3*(1 + sqrt(288)) + sqrt(288))*4 - ((sqrt(288)*2 + 1)**2 + sqrt(288) + -1 + sqrt(288) + -1))*3.\nAnswer: -3417 + 504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4427 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-960)\/(-14))\/((-9)\/(-63)) + 4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 1. Let i be x(-1). Let o(b) be the second derivative of 0*b**2 + 0*b**3 + i*b**4 + b + 0 + 1\/10*b**5. Give o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 765, 1\/3?\nAnswer: 765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/6*(-24)\/(-16). Let o = 3 + m. Calculate the greatest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7719686 or 7719687?\nAnswer: 7719686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*r - 633*r + 5571 = 18636 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -51*b**5\/20 + 3*b**4\/4 + 131*b**2 - 20*b. Find the first derivative of s(n) wrt n.\nAnswer: -153*n**2 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.78 times 14?\nAnswer: 108.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 1bc647?\nAnswer: -1bc640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -97, 3868, 14613, 35528, 70003, 121428?\n\"Answer: 565*j**3 + 10*j - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 3. Let z be p(3). Suppose -4 = -5*a + 4*q, 0*a - 3*q - 3 = 5*a. Solve -5*y + a*y + 25 = z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173 divided by 746148\nAnswer: -173\/746148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025.8 rounded to the nearest 10?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 51846000 to the nearest one hundred thousand.\nAnswer: 51800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, 510 in descending order.\nAnswer: 510, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2*s + 5)*(-1 - 4 + 4) - 6*s + 0*s + 3*s to the form g + u*s and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7b8895 (base 14) to base 12\nAnswer: -14b0b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000119275 to 7 decimal places.\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*z - 18 = -4*t, 3*t = 3*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108829 and 18319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/9 + 3029*o\/3 + 1630288\/9.\nAnswer: -(o - 9263)*(o + 176)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 1 - 1 = 0. Suppose -3*m = m - 3*c - 9, r = -4*m - 4*c + 16. Let o**m - 1\/3*o**5 + 1\/3*o**4 - 2\/3*o - 1\/3*o**2 + 0 = 0. Calculate o.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 42. Let m(u) = 2*u**3 + 16*u**2 + 14*u + 1. Let h be m(-7). Let r(i) = 6*i - 36. Let p(d) = 1. Calculate c*p(t) + h*r(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 9. Let g = 1 + d. Factor -2*m + 3*m**2 - 2*m**2 - m**3 - 1 + g*m.\nAnswer: -(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339, 613, 849, 1047?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 1:57 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1596, -3231, -4880, -6549, -8244?\n\"Answer: -j**3 - j**2 - 1625*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56420 + 26110?\nAnswer: -30310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**3\/5 - 939192*l**2\/5 + 9390420*l - 117374000 = 0.\nAnswer: 25, 234748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**4 - 2*g**4 - 1 - 2 + g**3 to the form z*g + l*g**2 + f + h*g**3 + y*g**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: aa809a0 (base 11) to base 9\nAnswer: 40525681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81880 = 87*s - 133*s. What are the prime factors of s?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6793 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*s + 41*s + 62 = 4*x, -5*x + 40 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 5566.\nAnswer: 33396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2431 - 3.7569. What is the nearest to -2\/7 in -0.2, -3, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27535150?\nAnswer: 2, 5, 550703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + b - 21, 3*b - 9 = -5*n + 2*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6 - (-1 + -1)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944645263.\nAnswer: 449, 2103887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in -21, -0.5, -1\/3, 2\/9, 0.232?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28522624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -33*g**5 + 12*g**3 + 57*g**2. Let p(m) = -13*m**5 + 5*m**3 + 23*m**2. Let b(s) = 5*c(s) - 12*p(s). What is the third derivative of b(k) wrt k?\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 60 = 33. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*32\/(8064\/54)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -9*w + 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 16. Let w be u(-8). Let a be (0 + w)\/(2 + 0). Solve a*x - r + 15 + 2 = 0, -4*r + 13 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1009828437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.69 + -13314278.\nAnswer: -13314292.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5 (b) 2 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1168 and 64?\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j**2*w**4 + 3*j**2*w**3 - 5*j**2*w**2 + j*w**4 - 4*j wrt w.\nAnswer: -264*j**2*w + 18*j**2 + 24*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 154985 divided by 31\nAnswer: 154985\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -151, -150, -149, -148?\n\"Answer: b - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -1\/60*i**5 + 1\/6*i**3 + 0*i**4 + 0*i - 3*i**2 + 0. Differentiate n(h) with respect to h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643556.4 meters in kilometers?\nAnswer: 643.5564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let o be 16\/6 - (-2)\/6. Let y(m) = o*m - m + 0*m. Give y(i(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*k, 0 = 4*h - 3*k + 12 - 5. Suppose -a - w - h = -1, -w = 4*a - 8. Suppose a*z = 4*z - 45. Calculate the highest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-15)\/(-9)) + -3. Let s = 469 - 468. Solve -b + 4 + s = p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.12, -69, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/12 and -61\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1883 is divided by 81.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 487589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 0, 519, -3\/2, 2\/21 in decreasing order.\nAnswer: 519, 2\/21, 0, -3\/2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 103834 (b) 2 (c) 4 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eteaeeetaaattaeaea?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*v - 1250 = 295, -3*i - 3*v + 4641 = 0. List the prime factors of i.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**26)**(-47)\/(n\/(n*n\/(n*n\/(n*n*n**(2\/25))))*n\/(n\/(n*(n*n**18)\/n))) assuming n is positive.\nAnswer: n**(-34523\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from xbixxvp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/5 - 1\/20. Which is the fourth smallest value? (a) -3 (b) 2\/3 (c) q (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -147*p - 164*p + 3021054. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 7*s**2 - s - 4. Let h be v(7). Let a = 11 + h. Suppose -f + 2*p + 8 = a, -2*p + 6*p = -2*f. What is the smallest common multiple of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (7 + -9 - -3)) + 3 + 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27138013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/5)\/q)\/q*q*q\/(q*q\/(q\/q**12)))\/(q**(-10)\/q*q)**(10\/3) assuming q is positive.\nAnswer: q**(314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203 + -204. Let g = 87 + -81. Let x = -6 + 4. What is the nearest to w in 1\/2, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 36 + 144 = 0. Suppose y - 2*h - b = 0, -3*h + 0*h - 23 = -y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/18 - -85*1145\/(-45). Is -5*w\/175 + (-1)\/(-5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggig when four letters picked without replacement from gigiigggiigggggg.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99*w**2 - 105 + 140*w**2 - 9 wrt w.\nAnswer: 478*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(30\/16))\/((-9778)\/244450)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -46*y - 14. Let g(j) = 88*j + 25. Determine 3*g(c) + 5*s(c).\nAnswer: 34*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**2\/9 + 196*g + 1760\/9 = 0.\nAnswer: -440, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.32931 to the nearest integer.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(1053) + 1*sqrt(1053)*-6 + 3)*4 + 1)*-4)**2.\nAnswer: -20225712 + 224640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.7. Let q be (-5)\/((-760)\/(-188)) - -1. Let v = q - -14\/19. Which is the nearest to -0.06? (a) t (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*k + 142*k + 213*k = -169*k - 2484 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n - 2*n - 7*n + n. Let x(s) be the third derivative of -s**4\/24 + s**2. Give v(x(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 11 + 11 - -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2309109, -2309104, -2309099, -2309094?\n\"Answer: 5*w - 2309114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3, -5.11, 1\/6?\nAnswer: -5.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 + -137. Let o = -220 - c. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 5*t - 40 = 0. Let r = t + 97. List the prime factors of r.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -819*x - 175*x - 24850 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -211*h**3 + 24*h**2 - 199*h. List the prime factors of g(-1).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529 = 27*z - 4*z. What is the remainder when 90 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s - 6. Let h be y(-1). Let o be (3 + (-1 - -3))*1. Solve 4*k + k = -o*g + 20, -h*k = 3*g - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 20\/591?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 987405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**18*(y**(-22)*y)\/y*y*(y\/y**(-1\/12))**(-20\/3) assuming y is positive.\nAnswer: y**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*k**2 - 1 - 648*k**4 + 647*k**4 + 1 - 1 to g*k**3 + d*k**2 + c*k + l*k**4 + w and give d.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 7*v - 2. Let o = -13 + 19. Let y be c(o). What are the prime factors of (-5 - 25)*y\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47222768?\nAnswer: 2, 2951423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -119 + 10 - (-1168 - -1046).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1284, -1, 3, -4 in increasing order.\nAnswer: -1284, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*x + 118*x - 42*x + 1045 - 338 - 9*x**2 - 40*x.\nAnswer: -9*x**2 + 4*x + 707","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6426679 or 1?\nAnswer: -1\/6426679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/7)*c*c**(-1)*c**(-3)\/c*(c*c*c*c**(-3)*c*c)\/c assuming c is positive.\nAnswer: c**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-13*f - 7*f + 5*f)*(0 - 3 + 1).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 20 = 2*u, -2*c = -5*u - 1 + 19. Let j(l) = 2*l + 0*l**2 - l**2 - 5 + 2*l**2. What is the units digit of j(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 119. Determine y(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:49 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f\/(((f\/(f*f**0*f))\/f)\/f))\/f)))\/f**5*f**(-3\/10)\/f*f*f**(-2\/11)\/f*f*f assuming f is positive.\nAnswer: f**(-163\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3\/5, -3, 95, -44, -5, -1 in descending order.\nAnswer: 95, 9, 3\/5, -1, -3, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 6:32 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1845 plus 141127813?\nAnswer: 141125968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4616 + 1241?\nAnswer: -3395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21668945107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 + -2 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 48 + 54 = 0. Suppose 2*g - 7 = -5*r + 3, 6 = p*r + g. Let 0*o + 3\/2*o**2 - r*o**3 + 0 = 0. What is o?\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1847500611 to six decimal places.\nAnswer: 0.18475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 8:04 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5607926531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 287.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000704467058 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -22 - 4) + 0 + -29.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 5*x = 111, 5*x - 22 = u + 5 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3842596*o**4 + 11*o**3 + 243288968 wrt o.\nAnswer: -15370384*o**3 + 33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -820314240 divided by 205078560\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) - ((1*sqrt(320) - sqrt(320)) + -1)) + 0)*6 + -1)**2 + 1.\nAnswer: 480*sqrt(5) + 11546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 - -0.2. Let h be -2 - ((-322)\/(-3))\/(-2). Let s = -51 + h. What is the third smallest value in s, g, -1\/10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -349a0 (base 11) to base 16\nAnswer: -c50e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 18*j + 11 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/4)\/(4\/(-16)). Let a be v\/(-2) - 18\/(-12). Solve 0 = -5*z - 8 - a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6840*j**6 + 9*j**4 + 1906916*j**2?\nAnswer: 820800*j**3 + 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -712 - -719. Sort 5, 2, 3, a in increasing order.\nAnswer: 2, 3, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 70, 3, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -407 + 410 - (-4 - -31)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 4 = q. Suppose -44*u + 41*u = -9. What is the remainder when 1\/u + (-2444)\/(-39) is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*d - 4*g, d - 37 + 14 = 4*g. What is the second derivative of d*f - 22*f**2 + 5 - 5 + 2*f wrt f?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 = -4*o - 454. Let b = -194 - o. Solve 3*d - 6 = -b*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**6))*a)\/a*a**(-7) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*i + 36. Let g = i + -2. Let f = 8 - 3. Solve 0 = 3*n + f*t - 2 - 3, 4*t = -g*n + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 11*i**3 - 53*i**2 + 11*i - 41. Let b(g) = 7*g**3 - 35*g**2 + 7*g - 27. Let x(c) = -8*b(c) + 5*f(c). Let r be x(15). Sort r, 5, 12.\nAnswer: r, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7 = 2*x, 2*r - 6*x - 12 = -3*x. Let y(f) = 3*f - r*f - 2*f. Let m(z) be the first derivative of -4*z**3\/3 - 113. What is m(y(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3981 is divided by 166.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 6 + 12. Let i = -2 - t. Suppose 5*z = -25, -i*c - 5*z = 17 - 40. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l = 2*l + 168 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = -10. Let z be ((-5)\/3)\/((-2)\/6). Suppose -5 = -z*d - 0. Put d, -3, f in decreasing order.\nAnswer: d, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**2 + 8*s - 2. Let p be k(-2). Solve -3*w + p*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-30)*180\/(-160)*(-10)\/12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 265 - 185. What is the greatest common divisor of 200 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 46 = 47 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 156, -74, -1, 10 in decreasing order.\nAnswer: 156, 10, 0, -1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -19*g + 21*g + 3*s, 3*s = -5*g - 2*s - 40 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 4 = 0. Let o(q) = 4*q**3 + 2*q**2 - 1. Let r(d) = -d**3 - d**2. What is i*o(j) + 2*r(j)?\nAnswer: 2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000722385 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 555.2 + -127. What is s rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1374954 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22.137904 + 6765365\nAnswer: 6765342.862096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44680, 89365, 134050, 178735, 223420?\n\"Answer: 44685*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjww. Give prob of sequence jw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/36 - 2\/(-9). What is the tens digit of (-23)\/69 + (z - (-106)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 3*k**3 + 0*k**3 + (-3 + 3 + 2*k)*(-6*k**2 + 4*k**2 + 0*k**2).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 3*z + 11*z.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -13. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/20 - u**4\/6 + u**2\/2 - 7*u. Let y(i) = -i**2 - 9*i - 7. Let x be y(-8). Calculate k(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = a - 5, -7*a + 25 = -2*a - 4*o. Let b = 11 - a. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -0.462, -0.1, -2, -3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -w - 17, 0 = -a + 17*w - 15*w - 2. Suppose a*s - 20 = 5*m, -s + 8*m + 20 = 3*m. Solve s = -38*f + 34*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 23*p - 2. Let o(t) = -505*t + 45. Give -45*i(k) - 2*o(k).\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743601.\nAnswer: 3, 311, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1887*c**2 - 5074.\nAnswer: 3774*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11853 divided by -60.\nAnswer: 3951\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j**2 - j + 1. Let r(z) = z**3 - 3*z**2 - 2*z + 9. What is the remainder when r(5) is divided by n(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278757570?\nAnswer: 2, 3, 5, 7, 13, 29, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1485 + 908*b - 2969 + 1484)*(-b + 0 + 1 + 0).\nAnswer: -908*b**2 + 908*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2247*k - 1783 wrt k.\nAnswer: -2247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (993*z**2 - 993*z**2 - 30*z**3)*(3 - 8 + 6 - 8*z).\nAnswer: 240*z**4 - 30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 27*j**2 + 30*j + 59. Let l be m(-28). Solve 3*p - 10 = l*d + 2*p, 2*d - 4*p = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -589, -3, 3 in decreasing order.\nAnswer: 3, -3, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10167199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**3 + y + 1. Let r be s(2). Let o = -44 + r. Solve 3*t = n + 14, o*t - 22 = 3*t + 3*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43560291*-4.\nAnswer: 1.74241164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/11 and -87\/2381816.\nAnswer: 26199976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**4\/3 - 28*j**3\/9 - 28*j**2\/3 - 32*j\/3 + 62. Factor t(n).\nAnswer: -4*(n + 1)*(n + 2)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((12 + -2)*1 + -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15190790731 + -15190790683.999999395. Let l = 47 - r. Round l to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s**3 + 4*s**2 - 2*s + 1. Let m be k(5). Let d = -451 - m. Suppose 0 = -4*a - 0*a + 5*i + 353, -d = -4*a + i. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 15*o**3 + 11 - 19)*(27 + 11 + 73) as h*o + t*o**3 + b*o**2 + c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-24))\/(-10)*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((((q\/(q*q\/(((q**(2\/13)*q)\/q*q)\/q))*q)\/q)\/q)\/q))**13*q\/q**4*q\/q**(-1) assuming q is positive.\nAnswer: q**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315034 (base 7) to base 13.\nAnswer: 1bab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 910981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**4 - 6*m**3 - 8*m**2 + 4*m. Let a(d) = -3*d**4 - 7*d**3 - 9*d**2 + 5*d. Let z(n) = -4*a(n) + 5*s(n). Factor z(x).\nAnswer: 2*x**2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 359 + -360. Let s(j) be the third derivative of j**6\/720 + j**5\/120 + j**4\/12 - j**2. Let r(c) be the second derivative of s(c). Give r(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/(-2))\/7*-2. What is the remainder when -12*(q + (-33)\/4) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-33))\/((-12)\/18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m - 3. Let t be v(-3). Let d = -2 - -5. Let s be (2\/d)\/(2\/t). Solve 5*h = s + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + 4*w - 4*w + (w - 2*w - w)*(w - w - w**3) + 2 + 2*w**4 - 2 - 4*w**4 + 2*w**4 + 4*w**4 + w**2 + w**4 - w**2.\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585189672 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 - -0.2. Let y = 2 + v. Which is the third smallest value? (a) 5 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 3*h**2 - 6*h + 3. Suppose 2*z - 5*q - 4 = 0, 4*z + 12*q - 14*q - 8 = 0. Determine w(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(18)\/(sqrt(24)\/sqrt(4)))**2 + (5 + sqrt(243))**2)*-3.\nAnswer: -840 - 270*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rddvt. What is prob of picking 1 r, 2 d, and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 346203*a**4 + 15*a**2 - 66*a + 4 wrt a.\nAnswer: 8308872*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 64953 = 1057*u - 1060*u, -n + 2*u + 21660 = 0. List the prime factors of n.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 6*d - 8. Let m(a) = -a**2 + 5*a - 7. Let p(j) = 4*m(j) - 3*u(j). List the prime factors of p(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(3432\/(-20))*((-32)\/20 + -2)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.98 - -30.3. Let k = -2.98 - b. Sort 5, -0.2, k, -0.1 in decreasing order.\nAnswer: 5, -0.1, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/9 + 586*n**3\/9 - 17680*n**2\/3 + 1016704*n\/9 + 42744832\/9 = 0.\nAnswer: -19, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 446208 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 22, 76, 182, 358, 622?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**3\/3 + 17*k**2\/3 - 25*k + 33 = 0?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119 + 120)\/((-2)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43664 divided by -8?\nAnswer: 5458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/343? (a) -0.2 (b) 0.2 (c) 1643\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3 + f**3 - 13*f**5 + 47*f**5 - 49*f**2 wrt f?\nAnswer: 2040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 26*a + 21. Let d be w(12). What is the least common multiple of 3 and (24\/(-16) + d)\/((-2)\/12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 9:16 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) -1 (b) -754\/5 (c) -0.3 (d) 1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 11*s - 1. Let i(f) = 7*f - 2. Let a(p) = -3*i(p) + 2*l(p). Calculate a(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**2 + 3*q. Let t(m) = 6*m**2 - 4*m. Let n(f) = -6*t(f) - 5*v(f). Let i be n(9). Solve 5*p = 2*x - 12, -4*x + 4*p + 12 + i = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202021 + -222022?\nAnswer: -1201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27466850?\nAnswer: 2, 5, 641, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(240)\/sqrt(8))\/(3*sqrt(96) + sqrt(96)).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -14*q + 40. Let l = -20698 + 20702. Calculate a(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 15 - (46 + 82 - 170)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/4 + 7*z**3\/3 + z**2 - 4*z + 7. Is v(6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, i: 2, x: 6, e: 2, b: 3, c: 1}. What is prob of sequence bxcb?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgmcprrrmrrprpppgmrc. What is prob of sequence mmp?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m = -505. Let h = -97 - m. Let p be (h\/88)\/(6\/(-4)). What is the closest to 1 in 3\/4, p, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 499749 and 499749 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-50)*(-20)\/78?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0 - 3*o**2 - 1\/6*o**4 + 1\/2*o**3 + 0*o + 1\/60*o**5. Calculate y(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7201 divided by 147?\nAnswer: -7201\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = -42. Let k(w) = w**2 + 13*w + 1. Let h be k(l). Solve -h = b - 4*q, -4*b + 3*q - 6 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s - 4*s + 5*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2813.276 microseconds?\nAnswer: 2.813276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - p + 409 = -188, 2*z = 4*p + 252. Let t be ((-12)\/28)\/1 - z\/(-35). What is s in -5\/3*s**2 + 1\/3*s**t + 7\/3*s - 1 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 4 + 0 + 1. Suppose 2 = -k + 6. What is the units digit of n(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 796 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3135 + 10015. What is d rounded to the nearest one hundred?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)\/(b\/b**(-3\/4)))\/(b\/b**(-2))**(-19) assuming b is positive.\nAnswer: b**(1097\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 73. Let u(s) = -s**3 + 4*s**2 - 4. Let h be u(4). Let v be 4\/h*0\/3. Is f(v) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 723.6 - 652. Let r = h - 66.6. Let f be (3\/(-2))\/(4 + -1). What is the third biggest value in r, f, 2\/13, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302 divided by 6\nAnswer: 151\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163241 is divided by 1794?\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7929171 + -16670979. Let j = 3541808 + s. Round j to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 1, q: 2, a: 1, z: 1, f: 1}. Give prob of sequence sz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*8\/11 + 3399\/(-390) + 3\/5?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305978 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 217811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 10*u = 7, 3*h - u - 197 = -145 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1931104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 9*v - 14*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -144*g**2 - 3179*g - 245. Calculate q(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4775130996.99999997 - -4775130969. Let d = 28 + x. Round d to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*-14)\/((-11)\/(-11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70618456?\nAnswer: 2, 2309, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*33\/(-15))\/((-13)\/(-65)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 15 - 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 9*u + 6. Let d = -34 + 22. Does 21 divide y(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l = 91*l. Solve l = -2*i - 5*s + 23, 5*i - 5*s - 5 = -0*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 12 = 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1536))\/(-1*sqrt(192)) - (1 + (3*sqrt(144))\/sqrt(2))) + 1.\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 less than -12981589228?\nAnswer: -12981589231.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (5 + 37)) + -38 + (1 - -28)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -6*n + 26*a - 27*a, 0 = 4*n - 5*a + 29 - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = -56. Solve 5*a + 4*k = 31 - 14, -2*a = -2*k - z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.2, -144?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(63\/2))\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:20 AM?\nAnswer: 256","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0 + 1\/2*a**2 + 59*a - 1\/2*a**3. Give r(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w*w**(-2\/7)\/w)*(w\/(w*w**25))\/w assuming w is positive.\nAnswer: w**(-166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 2, j: 1, s: 1, l: 5}. Give prob of sequence lkjw.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 h when four letters picked without replacement from {h: 9, g: 4, x: 3, q: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11*-1)\/1 + -2. Let w = f + 21. Let l be (-31998)\/w - (-2)\/(-8). What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48559*h**3 - 3398*h**2 + 1024483806.\nAnswer: 145677*h**2 - 6796*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 18*s**2 + 31*s - 14. Let z be o(-16). Let j(i) = 6*i - 10. Let f be j(z). Solve 0 = t - 5*y, -f*y + 2 = -0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -406*j**2*v**3 - 2*j**2*v**2 + 334*j**2 - 3*j*v**3 - 2*j*v wrt v?\nAnswer: -2436*j**2*v - 4*j**2 - 18*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -51*m - 1104 + 55*m + 1089. Determine h(12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.3 + -12. Which is the closest to -2? (a) 0.1 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 17*t + t**3 - 15*t + 3*t**3 - 4. What is the units digit of p(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.9 or -1265\/31?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1318.\nAnswer: 14498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120202212 - 10?\nAnswer: 1120202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 263.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5046822.\nAnswer: 2, 3, 11, 71, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -16*f**2 - 99*f - 16 - 98*f - 126*f + 327*f. Let d(q) = 3*q**2 - q + 3. Determine 11*d(v) + 2*n(v).\nAnswer: v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*j**2 - 1909*j - 363443 wrt j.\nAnswer: -12*j - 1909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 71*a - 606. Calculate p(-76).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 2. Let t be f(-2). Let c(s) be the third derivative of -s**6\/60 + s**5\/15 - s**4\/8 + 12*s**2. Calculate c(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 1. Let g(n) = -33*n - 14. Let b(r) = -2*g(r) - 22*x(r). What are the prime factors of b(2)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-954)\/15*(-55 + 25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -6. Suppose -r - 14 = 3*z, z - 28 = j*r - 4*r. Let t be (r\/(-70) + 7\/(-10))*0. Sort 2, t, 4.\nAnswer: t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*c - 3*c, -15 = 5*g + c. Let t = 13 - g. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 7. Let j be v(6). Calculate the remainder when 37 is divided by (j + 2)\/(3\/30).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/474525 and -49\/19980.\nAnswer: 1898100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 - -222. Suppose -6 = 3*z - l - r, -4*l + 192 = 5*z. Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3765.\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 + -119 + (-6 - -7) + -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 121, 250, 4 in descending order.\nAnswer: 250, 121, 13, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - -91. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300788437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 6\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.82 + 11?\nAnswer: 20.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18743108.\nAnswer: 2, 4685777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 + 6)) + 6 - (-208 - -182)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 + 60. Put 21, -1, 3, s in increasing order.\nAnswer: s, -1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-8962\nAnswer: -8962.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -155501023 (base 6) in base 7?\nAnswer: -40326453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12138 divided by -2023?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1 - 280\/(-284)). Suppose 2*o - 229 = -u. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1004395, 1004396, 1004397?\nAnswer: 1004398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 55683\nAnswer: 222732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 285 + 673 - 264.\nAnswer: 6*g**2 + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7535 and 5?\nAnswer: 7540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3663 and 864.\nAnswer: 351648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6 + (42 + 0)*(-8)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s + 5. Let a(z) = -4*z**2 + s*z**3 + 7*z**2 - 11 - z**2 - 6*z**2. Let m(q) = q**3 - q - 1. Let r(n) = -a(n) + 5*m(n). Give r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 11:44 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2 - (-15)\/(-10)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14132700 and 33210?\nAnswer: 127194300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187630 and 1798.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 49+1489627003.27\nAnswer: 1489627052.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/86 and ((-1)\/6)\/((-2)\/178).\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7629*i + 6271*i - i**2 + 1487*i + 1721*i - 1.\nAnswer: -i**2 + 17108*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 354*k**3 - 343*k**3 - 1 + k**2 as d*k + r*k**2 + s*k**3 + t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27304*l - 50220 = -27924*l for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 142\/100 - 368\/(-4600)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 6*u**2 - u + 21. Calculate m(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 + 0*a - 8*a**2 + a**3 + 1424143 - 1424141 - a - 3*a**4 to i + f*a**2 + l*a**3 + o*a**4 + c*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 16*d**3 - 720*d**2 - 160*d + 7107. Determine p(45).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + n - 2. Let z be k(1). Let o(x) = x**3 - 7*x**2 + 6*x + 5. Let p be o(6). What is the greatest common factor of z and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 3*y - 0*u, y + 5*u + 5 = 0. Suppose -2*m + 6*m - 20 = y. Solve -m*b + 11 = -9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(35\/2 + -2). Let v = -834.064 + -1.936. Let z = -836 - v. Is u greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6819*m - 436393 = 156860 for m.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-116)\/(-29))\/(-76*(-5)\/(-10))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 12:14 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(0 + -5*(sqrt(1008) - 1*sqrt(1008)) + sqrt(1008))**2 - (-5 + 0 + 2*sqrt(1008)*-2)**2).\nAnswer: -22205 - 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/70 - (1 - (-286)\/(-10)). Put -5, 2, 1, f in decreasing order.\nAnswer: f, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2 + b + 10*b + b - 8*b. Suppose 5*u + 44 = 4*z, -2*z - 3*u + 22 = -0*u. Suppose 3*l + z = -4*h, 4*h - 2*l + 3*l + 9 = 0. Give a(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 171, 170, 167, 162, 155, 146?\n\"Answer: -v**2 + 2*v + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)\/((c\/c**4)\/c))**(-35) assuming c is positive.\nAnswer: c**(-1610\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -12. Let q(f) = f**2 - f - 2. Let o be q(-2). Let p = o + v. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -874 - -3362. Suppose g + 4393 = 7*m. Does 40 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -874*a**3*n**2 - 65*a**3 + 163671*a**2*n**2 wrt a?\nAnswer: -5244*n**2 - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 - 5*k**2 + 2*k + 7 + 21*k**2 - 9*k**2. Let l(w) = -w**2 - w - 6. Let g(u) = 2*b(u) + 3*l(u). Give g(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jdmj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 128*a**2 + 732*a + 339. Determine r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**8\/42 + 74*m**7\/35 - 19*m**5\/60 + 15*m**3\/2 - 4*m**2 + 5*m - 6. Find the third derivative of s(w) wrt w.\nAnswer: 480*w**2 + 10656*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13475 - 2671. What are the prime factors of u?\nAnswer: 2, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 5*k + 2*z + 89, -4*k - 162 = -5*z. Let n = 55 + k. What is the second derivative of 4*x**4 - n*x - 6*x**4 - 15*x**4 wrt x?\nAnswer: -204*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -3216?\nAnswer: 3217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16 - (-5 + (-77)\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/13*(-4)\/(-320)*20\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462490 rounded to the nearest one thousand?\nAnswer: -462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 2*l - 11. Let r be f(5). Solve q + 5 = 0, 5*s + 0*q - r*q = 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**6)**(-40) assuming a is positive.\nAnswer: a**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 893 and 23818989?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from bczzzccbcbzzzzcbccb?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4 + 2*j - j**2 - j - j. Let h = -6 - -3. What is v(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (-6*(sqrt(1512) + sqrt(42) - sqrt(42)))\/((-4*sqrt(36))\/sqrt(6))).\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 21*w + 20 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410380 is divided by 3984.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68384, 68381, 68376, 68369, 68360, 68349?\n\"Answer: -w**2 + 68385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 407 - 175. Let d = -24250 - -24337. Calculate the greatest common factor of d and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*a - 155 - 45 = -55 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5*u - 4 + 6 + 8.\nAnswer: 5*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13751\/30 + 2755\/6. Solve 0*y + 0 + 4\/5*y**3 + u*y**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -171208591*n**2 - 199740094?\nAnswer: -342417182*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -4100.7.\nAnswer: -4100.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3 = 3*p, -4*l = -2241*p + 2245*p - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 1. Let c(v) = -103 - 22*v**2 - 160*v - 2*v**3 - 48 + 35. Let n(z) = c(z) + 12*k(z). Solve n(l) = 0 for l.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-6 + 4 + 0)*(-2 + 2 + 1)*(5*p - 2*p - 5*p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + r + 4*r = 165, 0 = -4*d + r + 132. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -14*q - 207. Let r be w(-15). Solve 0 = -r*u + 3*y, -2*u - 12 = -3*u - 2*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241131622 to the power of 1\/3, to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1320 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 7344 = 3*w - 7338, -4*g = 5*w + 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b**3 - 2*b**2 + b - 1. Let v be i(2). Let n = 83 + v. Suppose c - 5*o + 6 = 3*c, 15 = 5*c + 4*o. Sort -5, 4, n, c in decreasing order.\nAnswer: 4, c, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54.075 + 0.525. Round f to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*k - 18, 5*k - 3 = r + 27. Suppose 0 = -k*q + 18. Solve -c = -5*j + 2*c + 26, -3*j = q*c - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*m**3\/4 + 1217*m**2 + 2477*m.\nAnswer: -m*(m + 2)*(43*m - 4954)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*d = 104*d + 32. Let t be (-2)\/d + 1220\/80. What is the tens digit of (-5*(-9)\/t)\/((-6)\/(-440))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -3*m**5\/5 - 2*m**3\/3 + 9*m**2\/2 + 38. What is the third derivative of f(c) wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4209040 and 3520?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - 2516\/(-1665) - 6\/15?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*u - 0*u + c, 3 = 2*u - c. Let p = u + 0. Suppose -4*d = -14 - p. Is d less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 16*g - 43. Let z(d) = d**3 - 32*d**2 - 2*d + 64. Let v be z(32). Let p be v + (5 - -12) + (-7 - -8). Calculate n(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(-243))\/((-49)\/(-14259)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 z when three letters picked without replacement from {y: 7, v: 7, z: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - k + 341 = 0, 0 = -2*t + k + 2*k + 231. Let o = t - 77. Calculate the greatest common divisor of o and 592.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -2\/19, 2\/31, -2\/9, 2\/35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 9:32 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(10\/((-120)\/18))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2086 + 11229 = 508*o - 3049 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1892140 or -1892133?\nAnswer: -1892140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**3 + 66*u**2 + 7*u - 21. Let b(r) = -r**3 - 11*r**2 - r + 3. Let z(q) = 13*b(q) + 2*k(q). Calculate z(10).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 722*j - 3580 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505453 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from jlllljjllgllgjll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 84\/144*(-2 - -6). Factor 13\/3*l + 1\/3*l**4 - w*l**2 - 2 - 1\/3*l**3.\nAnswer: (l - 2)*(l - 1)**2*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 = r. Let l(s) = -10*s + 8. Let b(f) = f. Let k(w) = -3*b(w) - l(w). Does 12 divide k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4619, -8668, -12717, -16766, -20815?\nAnswer: -24864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.065, 2\/51, 588?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59\/5 of a kilometer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203\/495 - 1\/99. Suppose -7*u - 8 = -43. Which is greater: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/3))**(-1\/23)\/(d*d*d**(2\/7)*d)**(1\/57))**(-40))**(-49) assuming d is positive.\nAnswer: d**(-185360\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3*p**3*r + 106*m**3*p*r**2 + m**3 + 922*m**2*p**3*r**2 + 4*m*p*r**2 wrt p.\nAnswer: -6*m**3*p*r + 5532*m**2*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/5? (a) 2\/19 (b) 5 (c) 1116 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 + 24 = 0. Is 18 a factor of -30*d\/(100\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7385)\/422*40\/(-28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0*p**6 + 0*p**5 + 0*p**3 + 1\/105*p**7 + 0*p + 0 + 28*p**2 + 7\/24*p**4. Find the second derivative of q(d) wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 - 496*x + 1920 = 0. What is x?\nAnswer: 4, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 337718398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*3*(-7)\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaauuuauaaauaauauuu. What is prob of sequence aau?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105*w**2 - 670*w + 240.\nAnswer: 5*(w - 6)*(21*w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 12:16 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3. Let n = -330 - -329.783. Let l = n + -0.083. What is the closest to y in -0.2, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 880285?\nAnswer: -880283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1245 + 2380. Suppose -5*c = -3*z + 2212, -12*z + 7*z - 4*c = -a. Calculate the highest common divisor of z and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -4, -2\/13, 1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-571\nAnswer: 171.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4298500 to the nearest ten thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d2b56 + 4?\nAnswer: -2d2b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3400, -4\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 571991983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdetteee. Give prob of picking 1 d and 1 e.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = -4. Let h = -4 - q. Let b(n) = -2*n**2. Determine b(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 10*c**2 - 37*c**2 + 5*c**2.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1676 - 108922\/65. Let w = -1\/13 + v. Let l = 58\/3 + -39\/2. What is the biggest value in -2\/3, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 252, 396, 560, 750, 972, 1232, 1536?\nAnswer: 1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 479*b**3 - b + 49?\nAnswer: 2874*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 55, 63, 63, 49?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/113 + 466\/791. Let d = k + -34\/35. Let h = -3 - -2. Which is the nearest to d? (a) 4 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -1, 3.1603, -4 in descending order.\nAnswer: 5, 3.1603, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2563 is divided by 318?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/(145\/(-174)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933109658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69209611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 13*d + 11. Let r be l(12). Let o be ((-4)\/(-8))\/(r\/(-4)). What is the tens digit of (-30*o\/(-4))\/(0 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21990, -21899, -21754, -21555?\nAnswer: -21302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 = -48*y - 2*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**2\/2 - 3*c - 2. Let y be z(5). Is ((-51)\/(-6))\/(y\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1613790 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102211 + 10?\nAnswer: 102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r - 3. Let u be d(-2). Suppose 633*c - 1936 = 622*c. Suppose a = u*a - c. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27734, -27747, -27768, -27797, -27834, -27879, -27932?\n\"Answer: -4*j**2 - j - 27729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2335 is divided by 1162?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 53*c - 50*c - 364, 4*c - 177 = a. Let r be (-4)\/(-5) - 407\/a. Suppose n + 2*n = 0. Solve n = -r*k + 2*f - 10 + 1, k + 17 = -4*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, q: 5, t: 3, c: 1}. What is prob of picking 3 t?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((-2)\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -4. Calculate the smallest common multiple of 56 and 86\/8 + a\/(-12).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 5327 + 868 = 4737. What is the remainder when j is divided by 483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -16*a**3\/3 + 928296*a**2 + 464149*a + 174056\/3 = 0.\nAnswer: -1\/4, 174056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.52 times -1986?\nAnswer: 102318.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16149 = 3*i - 4593. Is 2\/(12\/(-9) - i\/(-5181)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -289*w + 16. Let p(k) = k**2. What is p(q(u))?\nAnswer: 83521*u**2 - 9248*u + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 222*i - 238*i - 3*i**2 + 4 + 2*i**2. What are the prime factors of p(-7)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 130020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.971267 to 1 dp.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**31*r*r**(-6\/5))\/((r\/(r\/(r*r\/r**3)))\/r**0) assuming r is positive.\nAnswer: r**(159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 22 = -2*k. Find the first derivative of -33*u**3 + 3*u - u**4 + 33*u**3 - k*u - 47 wrt u.\nAnswer: -4*u**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 4*s - 2. Let t be k(3). Suppose -5*z - 9 = -2*c - c, -5*c - 2*z = -15. Factor t + 1 + 6*g**3 - 4*g**c + 6*g + 6*g**2.\nAnswer: 2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -24*y - 92. Let i(q) = -7*q - 30. Give -17*i(l) + 6*m(l).\nAnswer: -25*l - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5))**(-36)\/(i**(2\/9)*i*i\/i**(-17)) assuming i is positive.\nAnswer: i**(-1837\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 361*m**5 - 8*m - 23 wrt m.\nAnswer: 7220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 12. Let j be y(7). Let k(x) = -x. Let a be k(j). Solve 3*p = -4*t - 15, 2*t - t + a*p = -25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 11*y = -30*y. Let b(q) be the first derivative of 3\/32*q**4 + y*q - 15 + 1\/4*q**3 + 3\/16*q**2. Factor b(f).\nAnswer: 3*f*(f + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 28*m**2 - 46*m + 619. Calculate the smallest common multiple of 3738 and y(29).\nAnswer: 11214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - r + 22. Let u be b(0). Suppose -3*k + 0*c + 10 = -c, 5*k - u = 3*c. Solve -k = 2*w - 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 4 - (-66 + 68)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (7 + -3)*31\/(-4). Let b(k) = -3*k + 33 - 61 + p. Let m(n) = -11*n**2. What is b(m(z))?\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.05, 0, 2, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 9\/2*x**2 + 0*x + 3\/2*x**4 + 6*x**3.\nAnswer: 3*x**2*(x + 1)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m + 40*m = -296 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 477524*v**3 + 57006815118*v**2 - 114015062812*v + 57007770169.\nAnswer: (v - 1)**2*(v + 238763)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(144) + sqrt(144) + sqrt(16))\/sqrt(8) + -4)*6*-6*1.\nAnswer: 144 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -644*l**3*t**3 + 2*l**3*t + l**2 - 591*l*t**2 - 6*l*t - 100*t**3 wrt t?\nAnswer: -3864*l**3 - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2*h - 4 - 0, 2*k + 4*h = -26 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 919*t + q + 164 = 920*t, 4*t - q = 650. What is the remainder when t is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.34626m to kilometers.\nAnswer: 0.03834626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Let z be 1\/5 - 95\/(-25). Let c(s) = 15*s. Let h(l) = 7*l. Let w(i) = z*c(i) - 9*h(i). What is w(g(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h**3 + 5*h + 7. Let j(t) be the first derivative of -t**4 + t**2 + 3*t - 5. Let o be (-15)\/(-2) + (-2)\/4. What is o*j(w) - 3*v(w)?\nAnswer: -w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 7)*(-3 + 1 - 9)*(-6*r + 2*r + r)*(3 - 1 + 3 - 2*r).\nAnswer: -330*r**2 + 825*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125646634.\nAnswer: 2, 149, 421633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -319 in -777, 0.1, 4, -4.6, 0.3?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1335, 10, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*p - 30, -12*x = 2*p - 11*x - 27. Suppose -k - p*a + 15*a = -3061, -4*k + 12252 = -2*a. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -7. Suppose -3*l - 15 = -6*l + 2*n, -l - 3*n = -q. Put l, 0, -0.4 in decreasing order.\nAnswer: l, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2, -5*z + 4*z + 2*d = 5. Let n(l) = 5*l**2 - 11*l - 5. Is n(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2622.58 and -175.\nAnswer: 458951.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let m = -2.5 - -2.4. Let h = 638\/45 - 72\/5. Which is the closest to u? (a) m (b) h (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 32 + 179314*s + 26 + 32.\nAnswer: 179314*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -52683, 3, -82, -7 in descending order.\nAnswer: 3, -4, -7, -82, -52683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-110) - (-126)\/33. Suppose -6*c - u*q - 27 = -7*c, -2*c - 2*q + 24 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*2398\nAnswer: -1678.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 241*g - 25545. Give x(106).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 313 - 313. Solve 3*w + 3*w - 30 = g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111001 (base 2) to base 16\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 107868*k - 3347752.\nAnswer: 4*(k - 31)*(k + 26998)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - r + 2*f + 24, -10 = -5*r - 5*f. Solve r = -4*j - 0*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53579 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 7\/5, -33, 13?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 1 - 19. Solve -3*s = s + q*w + 10, -20 = 3*s + 4*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 893, 891, 889?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 114\/(-20) + (0 - 0) and -75\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuuovvq. What is prob of picking 1 u, 1 q, and 1 v?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7074, -14233, -21380, -28509, -35614, -42689, -49728?\n\"Answer: s**3 - 7166*s + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r = -4*z, 4*z = 5*r - 18. Suppose -106 + 354 = 4*f - r*h, 3*h - 48 = -f. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**5 + 403661*z**3 - 2*z**2 + 667408*z - 7 wrt z?\nAnswer: 60*z**3 + 2421966*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53402003 + -1?\nAnswer: 53402002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*q + 307 = 0, -k - k = -4*q - 178. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 457 + 75 = -11*s, -3*s + 21*n - 19 = -7*n - 65 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.982 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/8 - 117*o\/8 - 15.\nAnswer: 3*(o - 40)*(o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 26*s - 60. Solve 5*p - 1 = s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(33) - -3*sqrt(33)))\/(sqrt(9)\/sqrt(3)*3))**2.\nAnswer: 704\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9400 and 140.\nAnswer: 65800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:05 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*l - 11, 5*o - l + 14 = 51. Let v be 2 - -9*(2 - 15\/9). Solve -3*q + o = -v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 27*w + 109. Give i(-13).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 4\/3 (c) -1\/4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {q: 4, p: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/8 + 351\/(-6). Let r = d + 90. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 76381, 76399, 76431, 76483, 76561?\n\"Answer: n**3 + n**2 + 8*n + 76371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 104 = -5*r + 9, 0 = 5*r + x - 129. Let h = 48 - r. Is 21 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-1 - -1) - 1) + (-40 - -46)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:51 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-2 - 4*r**3 + 2) + 1 + r**3 - 1.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.4 - 1.4. Let s = g - 13. Which is the closest to -2\/9? (a) -2 (b) s (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + b + 10 = 0, 2*c + 4*b = c - 1. Suppose 6*h = c*h - 5*r + 383, 5*h = 2*r + 659. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*j - 119*j + d + 83569 = 0, 0 = j + 4*d - 41753. List the prime factors of j.\nAnswer: 3, 19, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.756 + 0.206. Let s = j - -2.25. What is the third biggest value in -2, s, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53 - 118753?\nAnswer: -118700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h - 5. Let l be a(2). Let r(i) = i**3 + 12*i**2 - 11*i + 18. Let v be r(-13). Let o = v + l. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4172770?\nAnswer: 2, 5, 7, 59611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/59 - ((-6)\/4)\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 681 = 461. Solve 67*r = 63*r + q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36870 + 96130. What is c rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giiiggiiig. Give prob of picking 3 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 12) to base 4\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o**2 + 381*o + 1543. What is i(58)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 971 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = -85. Let t be (4\/1)\/(-4)*1. Let k be 2 + 7 - -5 - 3*t. What is the greatest common factor of k and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1262, 1260, 1258, 1256, 1254, 1252?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) -0.03 (c) 1\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1, 4, 0 in ascending order.\nAnswer: -13, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-40))\/((-14)\/(-420))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, y: 2, i: 1, z: 1, q: 2, w: 4}. What is prob of sequence qmw?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4737629.32 rounded to the nearest ten thousand?\nAnswer: -4740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 501, 485, 441, 357, 221, 21?\n\"Answer: -2*c**3 - 2*c**2 + 4*c + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqavvxaqqqqqmwvvv. Give prob of picking 2 v, 1 x, and 1 a.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -13*n - 34. Suppose -2900 = -n*b + a, -3*a = -4*b + a + 2912. Is b a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*q + 62*q + 882. Calculate the smallest common multiple of q and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5\/5 - 2*x**4\/5 + 26*x**3\/5 + 2*x**2\/5 - 24*x\/5 = 0.\nAnswer: -4, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.7. Let v be 41 - 42 - (-1 - 12\/(-1)). Let x be 38\/7 - v\/21 - -3. What is the second biggest value in -1, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 69 = -27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c3c102a - 2?\nAnswer: c3c1028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**10\/90720 - p**9\/18144 - p**8\/12096 + 11*p**5\/60 - 19*p**2. Let c(r) be the third derivative of n(r). Solve c(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0161 + -304.9839. Let j = -303.41 - y. What is j rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u**3 - 41*u**3 - 41*u**3.\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 - 856*n\/3 - 9658\/3.\nAnswer: 2*(n - 439)*(n + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -5350983?\nAnswer: -5350982.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:29 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 38*w - 70. Let y be x(-2). Solve y*b - 2*b = -8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5 + (1 + 3 - 2)*(-3 + 0 - 10))*(4*r + 0 - 1 - 2*r)*(3*r - 6*r - 14*r).\nAnswer: 850*r**2 - 425*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a + 16 - 0. Let v(z) = -10*z - 11. Let h(c) = -c**3 - 3*c**2 + c - 4. What is the lowest common multiple of h(-4) and v(a)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.5 (c) -1\/3 (d) -238\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 6*m = -43*m + 3388199. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 164 = 0, 529*f + o = 531*f + 45 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, e: 3, p: 3, k: 1, w: 4}. Give prob of picking 1 k and 1 t.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 337 + -337. Suppose k = -14*w + 60 - 60. Does w = -1\/219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-3) + (-7)\/(-21). Suppose a*y = -2*y + 138. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -507*n + 537*n - 432*n as r + k*n and give k.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -78*v**2 - 10*v + 5. Let y(l) = 117*l**2 + 14*l - 7. Let q(p) = 7*k(p) + 5*y(p). Let x(g) = -4*g**2. What is q(x(j))?\nAnswer: 624*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430230 + 68*s**2 + 0*s - 2*s + s - 430230 - 11*s**2.\nAnswer: 57*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from qboobqooqoqoo?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16*w**2 + 14*w + 4. Let t(z) = -5*z**2 + 5*z + 1. Determine 3*h(a) - 10*t(a).\nAnswer: 2*a**2 - 8*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -4*r + 2, 4*r + 1 = 3*q. Let u(b) = b**3 + 24*b**2 + 16*b - 6. Let v be u(-22). Suppose -q*y + v = 2*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14622 greater than -14634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - (-429)\/77) + (-3)\/(-7). Solve t + 2 - 7 = 5*o, x = -2*o + 4*t - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 + 0 = 0. Let r be (-1)\/(2*(-2)\/160). Suppose -12 = -h*j + r. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2323 + -2320. Suppose -5*a + 4*t = -2*a - 31, a - 4*t = 21. Let p(m) = -m + 3. Let r be p(a). What is the nearest to c in r, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35, 50, 65, 80, 95, 110?\n\"Answer: 15*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqxfxsct. What is prob of picking 1 c and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 136, 0 in decreasing order.\nAnswer: 136, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2487*x + 418*x - 8900 = -75108 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/14*609\/261?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -363 - -521. Suppose 5*l = -4*v + 818, v + 92 + 217 = 2*l. Is l at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(243))**2 - ((-1 + sqrt(108))**2 + (sqrt(48)*1)**2)) + -5.\nAnswer: -6*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -21*p - 2. Give g(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 0. Suppose -2*l + 6 = 5*m - 4*m, 2*m = -l + 9. Which is the smallest value? (a) 1.2 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8283340 by 20.\nAnswer: -414167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12518372274 to five decimal places.\nAnswer: 0.12518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 54588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 6*m**2 + 6*m + 3. Let n(k) = 7*k - 29. What is the least common multiple of n(5) and y(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*g - o - 15, 3*o = -3*g + 9. Let b(a) = -8*a**3 + 0 + 0*a - 4 - 2*a - g*a**2. What is the units digit of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3635, -7284, -10933?\nAnswer: -14582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Suppose -2*t - q*h = -21, 2*t - 6*h = -2*h + 12. What is the least common multiple of t and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {v: 1, d: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*a + 294 = 0, 0*a + a + 230 = -4*g. Let o = -21 - g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12268 - 12268. Let n(x) be the second derivative of -8\/3*x**4 + 4*x - 17*x**2 + 0 + g*x**3. Differentiate n(v) with respect to v.\nAnswer: -64*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**9\/252 + 11*g**8\/42 + g**7\/42 - 2033*g**5\/15 - 30*g**2 + 2*g. Find the third derivative of l(h) wrt h.\nAnswer: 240*h**3 + 5280*h**2 + 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105993155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 90*s + 95.\nAnswer: -5*(s - 19)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9383 - 9382.7. What is the nearest to -0.36 in x, -3, -29?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 11*a + 7. Let b be c(5). Factor 46*h - 14*h**3 + 66*h + 19*h - 216*h**b - 32*h - 12 + 62*h**3.\nAnswer: 3*(h - 4)*(4*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 35 = -9*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 62604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 2, a: 1, o: 1, p: 1, k: 1}. What is prob of picking 1 a, 1 p, and 1 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (21\/9 + -3). Let z = -0.299 - 0.001. Put 0.5, s, z, 12 in descending order.\nAnswer: 12, s, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -2 + -1*sqrt(171) - sqrt(171)*-6*-5)**2.\nAnswer: 360*sqrt(19) + 153904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.72 - 18. Let y = l - 0.02. Let q = -4 + 9. Which is the biggest value? (a) -3 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128968 by 686.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 528743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-63) + 145\/7. Let p be 216\/(-54) - (0 - c). Solve -5*k + 1 = w, 2*k - 5*w = 5*k + p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**3\/3 - 7*v**2\/2 + 5*v + 2. Let r be m(-7). Suppose s - 11 + 5 = 0. Is r smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1708919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83469082*j**2 + 49559984*j.\nAnswer: 166938164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1847566.6000013 + -1847566. Let q = 8.6 - 8. Let d = y - q. Round d to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.4 plus -1103.918179?\nAnswer: -1051.518179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 0 - (6420 + -6404)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.458 + -0.0320066.\nAnswer: -1.4900066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)\/(sqrt(10) - (sqrt(10)*1 + sqrt(10) + sqrt(10))) - -5*(sqrt(144)\/sqrt(3) + sqrt(48)))\/(3*(2*sqrt(64) + sqrt(64))) + -2 + -3.\nAnswer: -5 + 19*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(3 + 2 + -2 + -4). Suppose -51 = -3*n - k*m - m, -3*n + 3*m + 39 = 0. Solve -2 = t, -2 = 5*u + 3*t - n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + -47. Let q = y - 18. Calculate the remainder when 29 is divided by (10 - -75)*q\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 10:28 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-26616)\/(-8))\/(-5 + 7)*4?\nAnswer: 2, 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 2.8\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3171, 3124, 3053, 2964, 2863, 2756, 2649, 2548?\nAnswer: 2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*y - 463*y = -635 - 253 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/56)\/(-1*5)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.084 - -0.094. Let u = 0.69 + i. Which is the nearest to 5? (a) -1\/6 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -777 + 461*w + 442*w - 2*w**2 - 903*w as m*w**2 + s + y*w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 4 (c) 865\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3*i + 0)*(-4 + 5 + 4)*(2056 - 1046 - 1085).\nAnswer: 1125*i - 750","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqnnqnqqqqnq. What is prob of picking 3 n?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3523 is divided by 394?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a + 2*t - 4, 2*a - 5*t = -10. Let c(i) be the second derivative of a*i**2 - 2*i**3 + 0 + i**4 - 3\/20*i**5 + i. What is g in c(g) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 + 0*p**3 - 21*p**3.\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 112*j**2 + 3*j + 38. Let k(l) = l + 8. Give -5*k(f) + n(f).\nAnswer: 112*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 963167511 rounded to the nearest 1000000?\nAnswer: 963000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 12*a**2 - 12*a + 6. Let g(s) = 4*s**3 + 13*s**2 - 13*s + 5. Let v(d) = -4*g(d) + 5*w(d). What is v(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((-99099)\/24024)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y - 4 = 0. Let m(r) = r**3 - 14*r**2 + 2*r - 28. Let z be m(14). Suppose 4*f - 4*c - c - 143 = z, y*f - c = 131. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 14*j**3\/3 + 29740*j**2\/3 + 2226942*j + 635460 = 0.\nAnswer: -1869, -255, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 5239691 to the nearest 100000.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = t + 5*x, -4*t = -t + 4*x - 3. Let l be 1 - -1*2\/2. What is the third derivative of d**t + d**2 + d**5 + d**l wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -30 - 51\/10*z**2 - 2\/5*z**3 - 9*z. Factor j(n).\nAnswer: -3*(n + 1)*(2*n + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 8:07 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -445*h + 3123. Give a(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -883?\nAnswer: -883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -762916.\nAnswer: -381458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.07 (b) 2\/7 (c) 4\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36451, -0.15, 6\/13.\nAnswer: -0.15, 6\/13, 36451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/4 - 603*c**2\/2 - 40401*c - 1804578.\nAnswer: -3*(c + 134)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78358.66 nanometers to kilometers.\nAnswer: 0.00000007835866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27350640*i**4 + 18498410 wrt i?\nAnswer: -109402560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -367 - -366. Let g(m) = 0*m**2 + m - 2*m**2 - 3*m**2 + 3*m**2. Calculate g(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*a**3 - 2372*a**2 - 22*a - 117272026?\nAnswer: 156*a**2 - 4744*a - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/203 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 78. Let j = -41 - w. Let c be -25250*(-60)\/j*-40. What is c rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13521 (base 14) in base 2?\nAnswer: 1011101000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93436 and 50694?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148 - -146. Let k = 0.8 - 4.8. Let z = k + 1. What is the second smallest value in i, -6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 19. Let u be k(-5). Let z be 6\/u + (64\/(-3))\/(-8). Let c(d) = -10*d + 3. Determine c(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 1 (c) 2\/3 (d) -1\/15 (e) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-935)*(-15)\/9.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 5:13 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*g - 982 = 57*g + 929 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6291 and 35755947?\nAnswer: 107267841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255545 (base 6) to base 15.\nAnswer: 6d9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 12*f**2 - 28*f - 19. Is 4 a factor of m(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42\/(-70))\/(2\/10). What is the closest to 3 in -5\/4, d, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(187))\/sqrt(11) + (sqrt(17) - (sqrt(85)*-2 + sqrt(85))\/sqrt(5)))**2*-2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 98, 151, 206?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 0*q + 2*q = 37*r - 34*r, -4*r = 5*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -315097 and -6439.\nAnswer: -321536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**3\/3 + 7*c**2\/2 - 3*c + 1. Let i be m(6). Find the second derivative of i*r**2 - r**2 - 3*r - r wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/30791 and 23\/10869223.\nAnswer: 10869223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277133?\nAnswer: 431, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/((-3224)\/(-16))*13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(((w*w**6)\/w)\/w)\/w*w*w**(1\/14))**(-2\/11) assuming w is positive.\nAnswer: w**(-85\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451 - 442 + 893 + 22284*g**2.\nAnswer: 22284*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -137019, -273744, -410475, -547212?\n\"Answer: -3*g**2 - 136716*g - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 9*u**2 - 18*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3)*27\/(-108).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 587*s**4 + 68*s**3 + 302945 wrt s.\nAnswer: 2348*s**3 + 204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13552056 (base 7) in base 12?\nAnswer: 514a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.49 and 504428.763?\nAnswer: 504428.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77283 and 8543511.\nAnswer: 264848841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c + 49*c - 93*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 0, -0.4, -5, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -140*g + 111. Let v = -595 + 591. Is p(v) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 + 71. What is the highest common factor of l and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {g: 10, z: 4, q: 5}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 36*k + 15. Let n(u) = -2. Suppose -5*t = -m - 2*m + 2, 3*m + t + 22 = 0. Let h(q) = m*n(q) + 2*f(q). What is the derivative of h(z) wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-24)*104\/(-520)*(-20)\/12?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (428\/1712)\/(3\/348).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {g: 2, b: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**4 - 2495*w**3 + 43590*w**2 - 144580*w + 134680 = 0?\nAnswer: 2, 14, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -12*s - 11. Let v be l(-1). Let x be v + 13574 - 5*(-16)\/(-20). Suppose 5*u - 3*a + x = 9*u, 16940 = 5*u - a. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-566)\/(-130) - 4) + (-2)\/10.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 157549, 157555, 157565, 157579, 157597, 157619, 157645?\n\"Answer: 2*l**2 + 157547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p. Let o(a) = 463*a. Determine -o(g) - 3*s(g).\nAnswer: -454*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16475713 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k\/k**(-1)*k)\/k)*(k*k**(-1\/14))\/k)\/(k**(-2\/7)\/(k*k\/(k\/k**(2\/5)*k))) assuming k is positive.\nAnswer: k**(-97\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459348 is divided by 186?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - 37*f**2 - 7*f**2)*(-3*f + f + 4*f).\nAnswer: -94*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4856827158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 41. Let a(v) = 177*v**2 - v - 1. What is the tens digit of a(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.101?\nAnswer: 0.0202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(-55) + (-51)\/(-5). Suppose 2*n + 3*n = -s + 135, -2*s + p = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/35)\/((-4)\/70). Let c(q) = -q**2 + 8*q + 3. Let a be c(i). Let t(d) = d**2 + 14*d - 35. What are the prime factors of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 19869.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47388.\nAnswer: 2, 3, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v + 5 - 8*v + 15*v. Let t be d(1). Solve 11*z = t*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 47740630?\nAnswer: 1\/9548126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 286764 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357 and 18.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -47, -176, -429, -848, -1475, -2352?\n\"Answer: -7*b**3 + b**2 - b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 923 - 880. Suppose 0 = -6*t - g*t + 245. Solve 6*a - 11 = -t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225323*f - 19312 = 225595*f for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11202320112 (base 4) in base 8?\nAnswer: -5427026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017804684 to 5 dps.\nAnswer: -0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1724 - -2977. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-8))\/((-48)\/160)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2435 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215250 = -19*p - 23*p. What is the highest common divisor of p and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037950777 to four dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 3 + 2 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 666\/90 + (-2)\/5. Suppose -3*q = -2*o - 8, q + 3 = 2*o + d. What is the tens digit of 74 - (-4 + 2 - o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3 + 136*t**2 + 2312*t = 0. Calculate t.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 3. Suppose -14 + 45 = 5*d + 3*x, 0 = -2*x + 4. Let z be (d\/10)\/((-2)\/(-4)). Let j(y) = -3*y. Let f be j(z). Give v(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*g - 9, 5*p + 6 = 3*p + 5*g. What is the nearest to -2 in -9, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -63 (b) 1\/9 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*l + 2*m - 44, -61 = -3*l - 2*m. Suppose l*i - 26*i + 15 = 0. What is the third biggest value in -0.1, -1\/9, i?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 70*k - 1539. Determine y(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, -19\/4, 1?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73542 and 425.\nAnswer: 1838550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48023826 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: Let v(d) = -58*d**2 - 23*d + 1. Let t be v(-8). Let o = t - -21089\/6. Calculate the common denominator of o and 105\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 394631649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -483 + 382. Is u at most -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-6)*198\/4. Let o = -12 + x. What is the greatest common divisor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -26311*p**2. Let w(n) = -n**2 + 35*n. What is w(g(y))?\nAnswer: -692268721*y**4 - 920885*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84682*v - 9430 = 84452*v for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20922, 5, -4 in descending order.\nAnswer: 5, -4, -20922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -0.1 (c) -3\/5 (d) 8.9 (e) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -581 divided by -8146?\nAnswer: 581\/8146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635068004.\nAnswer: 2, 1559, 101839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/110)\/((-1)\/(-5)). Let k = -6 - -6.2. What is the nearest to -1 in k, l, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/(-4))\/(80\/(-2920) + (4461\/292 - 16))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 20*t**3 + 2*t**2 + 168*t + 7. Let f(g) = -14*g**3 - g**2 - 112*g - 5. Calculate -7*f(m) - 5*n(m).\nAnswer: -2*m**3 - 3*m**2 - 56*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 124148899*k**3 + 153876549 wrt k.\nAnswer: 372446697*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*q = -1729693, a + 3*q - 474019 + 128088 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*1 + (16 - 16) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/14, 6, 13.81, 1, -1\/2 in increasing order.\nAnswer: -1\/2, 1\/14, 1, 5, 6, 13.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 47. Let w(b) = 15*b - 3. Let g(q) = -q**2 + 85*q - 17. Let u(v) = 6*g(v) - 34*w(v). Calculate u(h(i)).\nAnswer: -24*i**2 - 1128*i - 13254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0. Let g = -1.03 - 26.17. Let t = g - -26. What is the smallest value in t, z, 1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3\/9 - 856*m**2\/3 + 131200*m\/3 + 6024704\/9 = 0. What is m?\nAnswer: -14, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-413)\/105 + 5)\/(32\/240)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37 and 5.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(4752)*2 - (sqrt(33) + sqrt(33)*-1*-4))\/(sqrt(363)*4*-1).\nAnswer: -5*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4157 = 55*w - 226*w + 3367 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2. Let y(h) = 3476*h. Determine d(y(x)).\nAnswer: -36247728*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 16. Let v be b(-8). Suppose 4*z = -3*c - 8, 11 = -v*c + 4*c + z. Solve -2*l = -3*a - l + 1, -c*a + 23 = 3*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -553, -1325, -2373, -3697, -5297, -7173?\nAnswer: -9325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*z**3 + 6*c*z**2 - 6284561*c*z + 2*z**3 - 503065673*z**2 with respect to c.\nAnswer: -z**3 + 6*z**2 - 6284561*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b**2\/7 + 2258*b + 832\/7 = 0.\nAnswer: -1\/19, 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22200011 (base 3) in base 14?\nAnswer: -2438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/3514 and 25\/9287.\nAnswer: 130018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 385 and 9.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*-2*sqrt(864))\/(sqrt(96)\/(2*sqrt(768)))*-6.\nAnswer: -13824*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, 0.11, -5, 2.5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Let l = -3 - -3. Let u(k) = k**3 + k**2 + 4. Let c be u(l). Solve -g + 14 = -c*x, -n*g - 2*g = -x - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310658 divided by 17?\nAnswer: 18274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 16. Let n = -43 - -131\/3. Which is the third smallest value? (a) z (b) -2\/11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406968 divided by -51.\nAnswer: -135656\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and 63958692513?\nAnswer: 63958692507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u - 14. Let i be r(-9). Let v = i - -17. Let k = 122 + v. What are the prime factors of k?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 4. Let n be 10\/w*(-36)\/45. Determine p, given that 2*p**3 + 71*p**2 + 6*p - 39*p**n - 24*p**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 470*x**2 - 3 + 230*x**2 - x + 242*x**2.\nAnswer: 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)*j**(-6\/13))\/(j**(-12))**(-2\/57) assuming j is positive.\nAnswer: j**(-2892\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 52*g + 1718. Give b(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.90477572 times 3\nAnswer: -2.71432716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 - 5*f**2 + f - 3. Let d(i) = -2*i**3 - 9*i**2 - 10*i - 7. Let p(m) = m**3 + m**2 + 2*m + 1. Let o(k) = d(k) + 5*p(k). Give 2*h(x) - 3*o(x).\nAnswer: -3*x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 371196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(2057).\nAnswer: 2 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 252*s**5 - 399*s**2.\nAnswer: 15120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108371384 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510 divided by 28.\nAnswer: 255\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-33) + (-720)\/(-660)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgujl. What is prob of sequence glgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -5, 7, -484, -25, 4.\nAnswer: -484, -25, -5, 0, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((-21)\/15 + 1). Let n = -0.67 + -18.33. Let u = n + 24. Which is greater: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -5*b + p - 9, -4*p = -2*b - 18. Let y be (-2 - -10) + b + 0. Is y not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -260, -254, -246?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.055 - 1.04. Let m = v - -0.185. Put m, -6\/7, -1\/3, 4 in decreasing order.\nAnswer: 4, m, -1\/3, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13*g**2. Let o(m) = 7*m**2 + 3*m + 3. Let j(i) = 84*i**2 + 35*i + 35. Let h(y) = 3*j(y) - 35*o(y). Determine r(h(l)).\nAnswer: 637*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118022392 divided by 1.\nAnswer: -118022392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 431137 - 431125. Let q(w) = 543*w - 1. What is the smallest common multiple of q(1) and d?\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -3*f - 248. Calculate the common denominator of (-2 - 1) + f\/(-33) and -41\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/2, -3, -5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 3. Let b be z(-4). Let t(w) = 8*w**2 + w + 1. Is 8 a factor of t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 68*b + 394. Calculate t(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658666 is divided by 16466.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiyiqihqy. Give prob of sequence qqhy.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.571331 and -16.8.\nAnswer: -17.371331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 16*k**5\/15 + k**4\/24 + 11*k**3 + 237*k**2. What is the first derivative of p(v) wrt v?\nAnswer: 128*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 41*i + 561. Calculate p(-30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73375354\/63 - -45052745851\/38682. Let l = u + 24\/307. Find the common denominator of 13\/88 and l.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1720 and 115670.\nAnswer: 462680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318 - 20*l + 54*l + 317 - 3*l.\nAnswer: 31*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*f**3*k*r*v + 9*f**3*k - f**3*r + 2688*f**2*k*r*v - 3*f*r*v - 4*k*r + v wrt f.\nAnswer: -456*k*r*v + 54*k - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903957980?\nAnswer: 2, 3, 5, 587, 54059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + 54*x**2 - 14*x - 397. Calculate w(-27).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 11:17 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -2 - -3 - -3. Suppose -i - 3*i - 2*t = -26, 1 = i - 5*t. Let w(b) = 0*b**2 - 11 - i*b - b**2 + k. Give w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 114 = -n - 4*k, 5*n - 219 = -3*k. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 5*u + 4. Let h be k(5). Let o(g) = -4 - g**2 - 7*g**3 + 3*g**2 - 3 - h - 2*g. Let j(n) = -4*n**3 + n**2 - n - 6. What is -11*j(q) + 6*o(q)?\nAnswer: 2*q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -21*h - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 85242 = -97406. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/32116 or 2?\nAnswer: -17\/32116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 23*u**3 - 2*u**2 + 1. Let b be (2 - 0) + 0 + -4. Let i be l(b). What is i rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**4\/6 - 4*g**3\/3 + 5*g**2\/2 + 11*g. Give n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -498*k + 3. Let h(c) = 592*c - 4. What is 2*h(j) + 3*x(j)?\nAnswer: -310*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -165 and 0.52.\nAnswer: -164.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 2*v + 7*v**2 - 5*v**2 - 2*v**2 - v**3 to the form h + c*v + m*v**2 + r*v**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529716*q**2 - 1059057*q**2 + 529652*q**2.\nAnswer: 311*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1380, -4996, -11048, -19536?\nAnswer: -30460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -16*u - 18. Is 2 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -120101030 (base 4) in base 10?\nAnswer: -99404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(7\/6)*m*m*m*m**8*m)\/(m**(10\/3)\/(m\/m**(-1\/2))) assuming m is positive.\nAnswer: m**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 158587 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19504 + 111155. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 26. Let p be (-7)\/(-9) - 2\/(-9). Suppose d - p = j. Solve -5*t - 2 - 13 = 5*u, 0 = -4*u - 5*t - d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 37*f + 669. Give g(-10).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 504 = 2*c + 30*z, -5*z + z = -68 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 385. Let x(a) = 4*a + 752. Calculate -9*v(s) - 4*x(s).\nAnswer: -7*s + 457","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513478 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(3\/5)*g))**23*g**(8\/7)*g**(-32)\/g assuming g is positive.\nAnswer: g**(-1598\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 1165819.\nAnswer: -140\/1165819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {h: 1, e: 1, r: 1, c: 3, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9257*a - 101846. Calculate j(11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 282, 281, 280, 279?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 2*d**4 + 4*d - 24 + 24 - 2*d**3 as s*d**4 + t*d + y*d**2 + w*d**3 + u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16792 by -4198.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-1*1 - (-2*(sqrt(66) - (sqrt(66) - -2*sqrt(66))) + sqrt(66) - sqrt(66)))\/(sqrt(24)\/(-1*1*sqrt(4))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w + 9. Let r = 2 - 7. Let k be (1 - 2)*1*7. Let x = r - k. Let c(t) = -t - 2. Calculate x*j(y) + 9*c(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.3, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, -23, -72, -145, -242?\n\"Answer: -12*q**2 + 11*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -3*j + 536. Suppose 5*u - j = 250. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + 4. Let n = 3152 - 2713. What is the remainder when n is divided by h?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16089 + -9094. Suppose -t = 122*i - 127*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 226. Let i be q(38). Suppose s - 12 - 10 = -4*o, -4*s + i*o + 16 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a - 3*n + 236, 5*n - 240 = -5*a. What is the remainder when a is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:31 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/4 + 41\/28. What is the closest to r in -5, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004099 rounded to 4 dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052392.\nAnswer: 2, 11, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1585*u - 926*u + 1154*u - 1 in the form v*u + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 19*g**2 - g - 17*g**2 to u*g**2 + w*g + y and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4221.479025 to the nearest ten.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2760441 to the nearest integer?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) -0.3 (c) 1\/2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:18 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1 + 14*o**3 + 2 - o**2 - 83*o**3. Is c(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*f - 71, 97 = 3*f + 2*f - o. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 257355 + 35124 = 3*s, -2*s - 2*m + 194962 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4420921?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaz when three letters picked without replacement from {z: 7, a: 7, k: 2, l: 3}?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by 131217?\nAnswer: -52\/131217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 87 = -24. What is the remainder when 29 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 4. Let x be a(4). Let p(c) = c**3 - 4*c**2 + 2*c**2 + 9*c**2 - 8*c + 9. Is p(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4430.4 at most 1\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 481*i - 926. Determine m(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**2 - 146 + 72 - 2*f**3 + 16*f - 2*f**2 - 5*f**2 to v*f**3 + u*f**2 + z*f + y and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -77 (c) 2\/7 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -592135 - 32614788.\nAnswer: -33206923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2574 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 6 = 9*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhghhhgh. What is prob of picking 2 g and 2 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i**(11\/2)\/i)\/i)*((i**(1\/19)\/i)\/i)\/i*(i**(-1))**(-45) assuming i is positive.\nAnswer: i**(1503\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 b when three letters picked without replacement from bppqqqp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52231*x - 15555*x - 128942*x.\nAnswer: -196728*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 - 5 + 6)*(84 - 84 - 181*y**3).\nAnswer: -1629*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxrxrfrfrfx. What is prob of sequence xfx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, w: 16}. What is prob of picking 1 w and 1 n?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12600)\/150*1\/(-12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17938304?\nAnswer: 2, 140143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 2*f**3\/3 - 6. Let z(o) = -8*o**2. Give z(k(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/179 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 2:58 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2951 - -1?\nAnswer: -2950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-12))\/(1\/2). What are the prime factors of -2*x\/(-2) - -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 744 + -334. What are the prime factors of c?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-84)\/(-8)))\/((-37)\/(-37))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 395 + -965. Let t = s - -570.3. Which is the second smallest value? (a) 2\/3 (b) -107 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 78. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/135)\/((-35)\/16410). Let r = m - -72\/7. What is the closest to 4 in r, -0.5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -23, -35, -47, -59?\n\"Answer: -12*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4)*1)\/(444\/(-1776))*164\/12.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 65 = -v - 4*z, 32*z - 17 = 33*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 12. Let u = -62 + 66. Calculate the remainder when 0 + (-1235)\/(-25) + u\/(-10) is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 2012472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-96)\/180*805\/(-276)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = -2*q, -11 = -5*n - 5*q + 4. Suppose 8 = n*r, 3*x - 5*r - 85 = -2*x. Suppose 4*u + x = -5*i, u - 2 = i + 4. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37710688 and 0.086.\nAnswer: 37710688.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72890 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 35 times 0.1\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - sqrt(190)\/sqrt(5))*-3 - sqrt(38))\/(-2*sqrt(8)\/sqrt(4)) + ((-2 + sqrt(171)*-2)**2 + 3)*4.\nAnswer: 193*sqrt(19)\/2 + 2764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 9:37 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4856666 to the power of 1\/2, to the nearest integer?\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.315963 - -0.684037. Suppose 3*x = 4*b - 5 - 14, 5*b = -5*x - 55. What is the biggest value in c, x, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -5*n + 4*d, 66 = 705*n - 709*n - 45*d for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-4))\/(8 + -7). Let b be 3 - (-22 - (2 - -1)). Calculate the greatest common factor of n and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (1 - 1) - 3) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4*o. Let y be i(6). Let z = -7 + y. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -679419848 divided by 84927481\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -321a71?\nAnswer: 321a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -585, 60, 675, 1260?\n\"Answer: -15*l**2 + 690*l - 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*t + 197 - 202 = 0, 1 = 4*i + t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171\/(-228)*20\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 - 542*c - 84784\/3.\nAnswer: -2*(c + 56)*(c + 757)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2778666807630*s**3 + 370470647344*s**2 - 2434682*s + 4 = 0.\nAnswer: -2\/15, 1\/304339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, j: 2, q: 1, o: 1, k: 1}. What is prob of sequence kjo?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j = 18. Let l(i) = 573*i + 15. Let h(p) = 687*p + 14. Let s(z) = 5*h(z) - 6*l(z). Determine s(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*40.27.\nAnswer: -120.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -264*r**2 - 177144*r + 86. What is b(-671)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 + 163 - 80 + 9*o - 85*o**2)*(1 + o - 1)*(0*o + 0*o + 3*o).\nAnswer: -255*o**4 + 27*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8700.4 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + 10*k**2 + 3*k + 30. Let i(b) = -20 - 18*b**2 + 27*b**2 + 4*b**3 - 16*b**2 - 2*b - 6*b**3. Let q(w) = -7*i(w) - 5*x(w). What is q(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87236986.\nAnswer: 2, 431, 101203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at least 71811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u = 18*u - 34*u - 2*t + 12, -11*t + 58 = 5*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 10.86. Let t = 0.44 + s. Sort -3, 4, t in ascending order.\nAnswer: -3, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -77, -5.6, 1, 0.23, -0.3, -3\/7?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*1*(-1)\/2. Suppose -g - 10 = 5*s, o*s = 3*g - 53 + 3. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72645\/80584 - 7\/23024. Let z = -2705205\/28 - -96611. What is the common denominator of q and z?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-11)\/(o*((o*o**1\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 5*p + 31, 57*p + v = 61*p + 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 17 - 7 = 0. Suppose 0 = -5*g - 24 + 44. Let m = g + j. Is -2 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 38. Let i be r(12). Suppose -5*n + i*n = -6. Suppose -n*y - 3*o = -0*o - 16, -3*y = -o - 24. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2201525 is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 0, -1\/6, -1\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 + 2*n**3 + 23*n**3 - n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 552*p + 6 + 550*p - 3 - 1103*p. Suppose 2*c - 3*c + 3 = -y, 2*c + 3 = -y. Give r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 210.455 and -1.4?\nAnswer: -294.637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7549, -16075, -24603, -33133, -41665, -50199, -58735?\nAnswer: -67273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -91297 smaller than -91308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1 + 38. Let c = -3 + w. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3274791 divided by 3\nAnswer: 1091597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1099.7 to the nearest ten.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 4. Suppose -5*f = -8*f + m. What is the second derivative of -5*z + z**2 - f*z + 5*z**2 - 4*z wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39466\/25 or 1579?\nAnswer: 39466\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2) + 1*3. Let m(d) = -h + 3*d - 2 + 3. Let b be (-8)\/(-2) - (30 + -28). Calculate m(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/12 + 1385*q**4\/2 + 2301870*q**3 + 2*q**2 + 3*q + 59. Factor m(r).\nAnswer: 5*(r + 1662)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 3.7\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 7*r**2 + 2. Let z be n(-7). What is the second derivative of -d - z*d**3 + 0 + 2*d + 0 wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 2, y: 1, p: 1, s: 2, i: 1}. What is prob of sequence ys?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7508, -2495, 2518?\nAnswer: 7531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657 = -573*f + 44*f + 1459 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001525 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*g + 64 = 0, 3*a + g + g - 63 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552, 548, 544?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -s + 19, 4*s + 17 = 5. Let b(c) = -3*c**2 + 32*c + 13. Let t be b(k). Factor 46*r - r**3 - 4*r**3 - 31*r + 10*r**t.\nAnswer: -5*r*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9345691 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1326\/(-156) - (-8)\/1. Let c = -2 + 7. What is the nearest to k in -2, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 178036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/20*20\/6. Is 15 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 75 in increasing order.\nAnswer: -1, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 7, x: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220.899993824 - 220.9. Round t to seven dps.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f - 10 = -76*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 107*z - 1290. Let u be b(118). Is 425 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3888 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -20*k + 204. What is the remainder when q(4) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millisecond in microseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 0*o + 0*o + 21 - 6. Let u be p(6). Solve -u*l + 25 = -8*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8526 + 3845224\/451. Which is smaller: 24 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 568470 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 2. Suppose g*h = h. Solve h = -2*w + 4*p - 16, 0 = -5*w + 2*w + 5*p - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3446 - -0.0556. Let a = i - -0.3. Round a to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135.7 + 136. Let j = -5.96 + 6. Let v = j + -1.04. What is the nearest to v in -3, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 65 = 3*y, 67*f - 71*f - 70 = 2*y. Suppose q + 24 + 4 = -c, -c = -1. Let l = y - q. Solve l*n + 5*s = -30, 4*n + 5*s + 33 = -7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 n when three letters picked without replacement from yxxznjxnxj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10204 - 10067. Put d, 15, 0, 1 in increasing order.\nAnswer: 0, 1, 15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7732902 a multiple of 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*i**2 + 130424*i + 18971207 wrt i.\nAnswer: -80*i + 130424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 5, -3, 51 in descending order.\nAnswer: 51, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4 = 10. Suppose -3*p + 0*p = -5*r - a, 0 = r - 4*p + 14. Suppose -3*q = -r*q - 56. What is the highest common factor of q and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*q - 8 = 0, -6*q = 5*g - q. Suppose -g = d - 2*d. What is the common denominator of 51\/(-12)*d\/3 and -52\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13*f**2 - 3*f - 22. Let r be l(-6). Let c = r + 790. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 3, -17, 417 in increasing order.\nAnswer: -17, -2, 3, 5, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 383, 385, 387?\n\"Answer: 2*j + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 a when three letters picked without replacement from waawtgpggww.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3 - 28. Let w(m) = -8*m**2 + 6*m + 4. Let g(d) = 16*d**2 - 12*d - 8. Let v(h) = x*w(h) - 2*g(h). Does 16 divide v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k - 1. Calculate the remainder when w(-2) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 25*b**2 - 127*b. Let q(g) = g**3 - 24*g**2 - 129*g. Let w(i) = 2*q(i) - 3*y(i). What is the second derivative of w(u) wrt u?\nAnswer: -6*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13233032322 (base 4) in base 12?\nAnswer: 819a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 223629771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-74 + -140) - 103?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*c - 64460 = -76*c. Suppose -5*w + 15*w = c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 19*x - 18*x. Does 39 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**4 - 23*l**3 + 2*l**2 + 143?\nAnswer: 72*l - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46908790?\nAnswer: 2, 5, 4690879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + l + 5. Let p be a(3). Let q(i) = -36092*i + 1. Let n be q(p). Let w = -376093 + n. What is w rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13021409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1184526 and 3\/1447754?\nAnswer: 13029786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 9216\/7 + 4\/7*v**3 + 9600\/7*v + 388\/7*v**2 = 0.\nAnswer: -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/3*(-36)\/(-42). What is the closest to 1\/4 in 0, -2\/7, l, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 34 - 13*g**4 - g**5 + 25 + (-g + g - 3*g**2)*(3*g**3 - g**3 - 4*g**3).\nAnswer: 5*g**5 - 13*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687348681?\nAnswer: 3, 991, 231197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12628.7 minus 5?\nAnswer: -12633.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u**5 + 1030*u**4 - 8936*u**3 + 416*u**2 + 46656*u + 4896 = 0. Calculate u.\nAnswer: -34, -2, -2\/19, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -268.902 - -1\nAnswer: -267.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 2*v. Let u(m) = 0*m**2 + 4*m**3 - 6*m**3 + 3*m**2 + m**3 + m - 1. Let r be u(3). Let d(i) = r*i - i - 2*i. Determine -b(h) + 2*d(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 13. List the prime factors of q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22830 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6267857 greater than -6267841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(12))\/sqrt(6) - (sqrt(8)*3)\/sqrt(4)) + (sqrt(2) - (-3 + sqrt(2) + 1)) + -3 + 5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2525507494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/3)\/((-2)\/(-6)). Let b be a\/(-2*1\/8). Suppose 3*r = -r - 3*o + 20, -5*r = b*o - 24. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 5 + 8*w**2 + 7.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.437 and 6?\nAnswer: -44.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 121*a**2 - 1360*a + 6583. Calculate i(131).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 3*q + 0*q)*(3 + 0 - 2)*(163 + 9*q - 163)*(-3 + 5 - 5)*(-2 - 2 + 2) in the form b + o*q + p*q**2 and give p.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -437)*(7 - 6). Let m be 2\/(-9) + 5234\/(-18). Let u = m + d. What are the prime factors of u?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34\/3, 0.015, -2\/13 in increasing order.\nAnswer: -2\/13, 0.015, 34\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**4\/3 - 17*d**3\/3 + 44*d**2\/3 + 20*d\/3 = 0. What is d?\nAnswer: -5, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 362434643 to the nearest integer?\nAnswer: 19038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*f + 2356 - 1252 - 1314 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-9))\/(780\/(-12168))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2325, 2550, 2925, 3450, 4125?\nAnswer: 4950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -15906\/7 and -2273 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 17*h**2 - h - 18. Let a be o(-17). Let r = 3 + a. Suppose r*v - 2 = 0, -4*d + 6 = -2*v - 36. What is the remainder when 19 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 5404 - 5404.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1. Let q be 2 - (b + 1)*-3. Let d be -14*(3 - 28\/q). Solve 3*p - d = 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 608 - -733. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -u + 5, 8*u - 5*u = i - 5. Suppose -i*m = -2*t + 2514, 4*m = -84*t + 81*t + 3806. What are the prime factors of t?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 9. Suppose 0 = -4*a - l - 22, 2*a - 4*l - 28 = 6*a. What is h(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/7 - -10\/7. What is the nearest to -1 in -4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50.2 - 50. Put j, 0.1, 38\/7 in decreasing order.\nAnswer: 38\/7, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 95434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a = 0. Suppose 2*p + 3 = -p. Let t be (-1088)\/(-24) - ((-3)\/9)\/p. Solve -2*f + 2*i = a, -4*i = -f + 6*f + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106 + (-389 - -70) + 111?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 15\/4 (b) 0.4 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 21. Suppose k - 3*r - 4 = 14, 0 = 3*k - 4*r - 74. Let s be (-2)\/k - (-2)\/5. Do s and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-8)*(2 + -6). Let g = a - -7. Find the first derivative of -g*s**4 + 0 - 1 + s**4 wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -31. Let u = 2.2 - 2. Let i = -51\/56 + 5\/8. Which is the nearest to m? (a) u (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than 6.397?\nAnswer: -7.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1653, -1792, -2033, -2382, -2845, -3428, -4137?\n\"Answer: -j**3 - 45*j**2 + 3*j - 1610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-165 + 165 - 30*t**3 + (4 + t - 4)*(4*t - 4*t - 2*t**2))*(3*t - 19*t - 3*t) to the form d*t**3 + x*t + s + z*t**4 + q*t**2 and give z.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (14 - 11 - (0 - -4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/5*3\/(9\/(-5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -l + 19, 27 = -0*v + 3*v - 3*l. Let i be -3 - (-9 + (-2)\/1). Let q(w) = 23*w + 3 - 14*w - i*w. Let a(c) = -4*c - 10. Determine v*q(s) + 4*a(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108 (base 14) to base 2.\nAnswer: 11001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**6\/60 - j**5\/20 - j**3\/2 - 47*j**2. Determine h(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*m - 40*m - 34*m as v*m + r and give v.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4639 (base 12) to base 13\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Determine u, given that -5*u**3 - 3*u + 4*u**3 - 6*u**z - 2*u**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**2*m*w + 33541*j**2*w**2 - j**2*w - 150*j*m**2*w**2 - 368048*m**2*w wrt w.\nAnswer: 67082*j**2 - 300*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2.2 (b) -1\/125 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**14*t*t)**(-6) assuming t is positive.\nAnswer: t**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104141 (base 6) to base 9.\nAnswer: 12837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 608731.4mm?\nAnswer: 608.7314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)\/d*d*d**(1\/2))**24*((d**(2\/11)*d*d)\/d**(-1\/12))\/(d**(2\/3))**(-35\/2) assuming d is positive.\nAnswer: d**(8873\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1305637\/187 + -6982. Let j = x + -401\/1683. Which is the nearest to j? (a) -1\/2 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 4*s - 3. Let h = 15 + -10. Let n be d(h). Let x = 5 - n. Solve x*p + p - 14 = -5*k, -4 = -4*k + 4*p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1919*m**3 - m**2 + 2*m - 4574.\nAnswer: -5757*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-299)\/26 + 13)*(-2)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + d**2 - d**2 - d**3 - 5*d**3 + 2*d**3 + (2 + 3*d - 2)*(-d**2 - 5*d + 5*d) - 5*d**3 - 3*d**2 + 3*d**2.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 6. Let i be l(-3). Is 110\/i + (-6)\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.670845586 + 57.82915455. Let p = -62.5 + h. What is p rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13030 (base 6) to base 12\nAnswer: -1176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-264)\/80))\/(41\/369)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**2\/11 + 40158*t\/11 + 13993800\/11.\nAnswer: -6*(t - 7025)*(t + 332)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.7 + 4. Let x = 0.1273 - -0.2727. Sort 5, -2, x, c in increasing order.\nAnswer: -2, c, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 41 = 6*l. Calculate the highest common factor of l and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*q + 48, q + 4*t = 4*q + 40. Let u = 34 + q. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + 2*g)*(8148*g - 65*g**3 - 8148*g)*(2 - 1 + 1).\nAnswer: 390*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*b**3 + 1 + 380*b**2 - 57*b**3 - 377*b**2 - 706*b as f + x*b + l*b**3 + n*b**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 45, 4 in ascending order.\nAnswer: -4, -1, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(((o\/o**(-2\/17))\/o)\/o)*o)\/o)\/(o**6\/o*o*o*o*o))\/(o**(-9))**(-5\/7) assuming o is positive.\nAnswer: o**(-1493\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34476 in -0.3, 0.3, -6, 1.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10475520?\nAnswer: 2, 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 495.1983m?\nAnswer: 495198300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(891) + -5 + (sqrt(891) - (sqrt(891) + 3))**2 + sqrt(891) - sqrt(891)) + 0) + 3.\nAnswer: -9*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 103*v**2 - 1126*v + 109. Give d(-113).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 + -77. Is 2 a factor of 9*((d\/(-3))\/(-5) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 9198315*t**2 + 136 + 21*t + 21*t - 9198313*t**2 = 0?\nAnswer: -17, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 66266 = -2*j, -13*v + 10*v = 3*j - 99390. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 o, and 1 d when three letters picked without replacement from {x: 1, o: 1, d: 2, f: 1, t: 2, w: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 3. Let m be s(-3). Let p(w) = -1127*w + 1 - 1135*w + 0 + 2265*w. What is the remainder when 93 is divided by p(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2960*f + 3272*f + 6326*f.\nAnswer: 12558*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/46905 or -1?\nAnswer: -2\/46905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568318 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132641658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 82120*z**2 - 4611044*z - 4528920.\nAnswer: 4*(z - 20586)*(z + 1)*(z + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000112928 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63 + 20.4?\nAnswer: 19.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -1, -3\/4, -92, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4) + 0 - -6*(sqrt(3) + 0).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245447 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -3a5c?\nAnswer: -3a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 22*y**2 - y - 6. Let k be z(-11). Let j(o) = -o**2 - 11. Let i be j(0). Let r = i - -13. Solve 2*d = -2*x, -r*d + 0 = -k*x - 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155805980 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let f = 93 + -79. Let h(g) = -f*g + 22*g - 5*g. Calculate h(u(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) 4\/85 (b) 1110 (c) 0.4 (d) 2\/3 (e) -3 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 138*g**4 + 11*g**3 + 6*g**2 - 11*g + 1089. Let z(l) = 28*l**4 + 2*l**3 + l**2 - 2*l + 218. Let h(r) = -2*q(r) + 11*z(r). Differentiate h(k) wrt k.\nAnswer: 128*k**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 3*j, -1 + 3 = k - j. Suppose -t + k = 0, 32 + 13 = 2*y + t. Calculate the common denominator of (-20)\/(-5)*1*2\/y and -7\/29.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - a + 21, 6*a - 3*a - 35 = 5*g. Let x be 5\/1 + (g - -2). Let t be 14\/(-4)*108\/(-63). Solve x = 3*j + t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 - -0.24. Let h = 1.25 + -0.05. Let s = -0.7 + h. Which is the nearest to 1? (a) s (b) 1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = -0*l + 4*y, -5*l + 4*y = -8. Is -3\/10 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.006 + 30.9\nAnswer: 30.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-18 - (3 - (3 + 1))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1824 and 304752096?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -29*t. Suppose 0 = 2*p + 4*p - 36. Let b(u) = -2*u**2 + 0*u - 6*u + p*u. Calculate x(b(l)).\nAnswer: 58*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*(g**(-4)*g)\/g)**(-16\/9)*g**5*g**(1\/7) assuming g is positive.\nAnswer: g**(436\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3064, 6146, 9236, 12334?\n\"Answer: 4*i**2 + 3070*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnpocnppncc. Give prob of picking 2 n and 2 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 52*l + 779. Calculate j(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9539 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, g: 9, u: 1, z: 1}. What is prob of sequence wuw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 7. Let l be m(8). Let x = l - 80. Let j = x - -32. What is the highest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3765554 to 4 dps.\nAnswer: 0.3766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:08 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5))**(-2\/9)\/((r*r*r**(-16))\/r*r**(-7\/8)*r) assuming r is positive.\nAnswer: r**(5323\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(5\/1))\/(5\/(-5))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (4*-1)\/(-2). Let o(h) = 1 + h - 2 + 10. Let a be o(v). What is the greatest common divisor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -16994450*g**2 - 11660*g - 2 = 0.\nAnswer: -1\/2915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/12*4 + -3. Suppose -h + 3*h = u + 14, 3*h + 3*u - 39 = 0. Let m = 9.53 + -9.73. Which is the smallest value? (a) m (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 32 - 36 = 0. Let u be (42\/28)\/(k\/44). Suppose -3*p - u = -14*p. Solve 0 = -p*i - 2 - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0345 and -0.0501.\nAnswer: 0.00172845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrgrggrrrrg. What is prob of picking 4 g?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-4)\/(-2)) + 368\/(-336).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 3. Let x(o) = -o - 2. Let r(b) = 3*q(b) - 5*x(b). Let i(k) = k. Give -i(w) - 3*r(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 8) to base 10.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.574 - -27.5844. Let u = 22 - q. Let z = 0.007 + u. What is z rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 9*f + 3. Let q be r(9). Let j(d) = 3*d**3 + 5*d - 4*d**q - d**2 - 4*d + 2 + 0*d**3. What is j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90.28 + 90. What is the closest to 0.1 in -2, b, 3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*l - 62, 5*l + 5*m + 18 = -32. Suppose 0 = 3*d - 6*d + 3, 2*d = -g + 995. Is g\/21 - (-4)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*h + u, 0 = 3*h - 5*h - 2*u + 32. Suppose f - h*f = -5031. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiikikikkiik. Give prob of picking 2 i.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -1436, -2238.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 - 219 = 38*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvbr when four letters picked without replacement from {v: 4, r: 6, b: 10}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 11*n**2 + 6*n + 42. Let l be s(10). Let z be ((-6)\/(-5))\/(2\/5). Let m(b) = b**3 - 4 + z - 2 + 2*b - 3*b**2. What is m(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = -5*v + 311. What is the remainder when v is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = -2*m, 0 = 7*m - 6*m - 3*v + 5. Let s(a) = -a**2 - 6*a + 10. Let i be s(m). Let n = -52 + 56. Solve -u = 4*c - i - n, -5*u = 3*c - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 77 - 1386 = 73*z - 0*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 312302?\nAnswer: 312232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (814 + 22*i - 814)*(0*i + 3*i - 4*i) + 5*i**2 - 4*i**2 + 0*i**2 + (4 - 4 + 2)*(4*i - 4*i + i**2) - 4*i**2 + 0*i**2 + 6*i**2 + 6*i**2 - 2*i**2 - 2*i**2.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/21700 and 227\/19950.\nAnswer: 1236900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Let z = -24 + 16. Let b(h) = 14*h - 4. Let n be b(0). Sort m, n, z.\nAnswer: z, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjj. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47816897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3403 - -3408. Solve -r*k + 3*z = -2, -50*z + 55*z + 10 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0 + 0*k**2 + 0*k**4 + 15*k + 0*k**6 + 6\/7*k**7 + 0*k**5 + k**3. What is the second derivative of m(j) wrt j?\nAnswer: 720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1895122733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 2)*((-4)\/(-24))\/((-58)\/(-1044))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 65*l + 67. Is g(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 2 = l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28565257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226436277.\nAnswer: 3, 17, 59, 75253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-168)*7*2\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 416.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1548 divided by -18\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 1 + n**2 + 17 + 6*n - 6*n.\nAnswer: n**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 236533536 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5093, -58, 2, -1, -5, 17, 5.\nAnswer: -5093, -58, -5, -1, 2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1679574?\nAnswer: 2, 3, 13, 61, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 636610522122 plus 296?\nAnswer: 636610522418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*v = 4 + 11, -6 = 3*l - 2*v. Let b = 1 + l. Let r = 1312 + -1314. Which is smaller: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(-3*sqrt(9)*-3) + 0 + (1 + sqrt(1872) + -1 - ((sqrt(1872) - sqrt(1872)*1) + 0)))**2.\nAnswer: 154453\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from fffmftmfckfcmmsstmc?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557614, 557612, 557610, 557608, 557606, 557604?\nAnswer: 557602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157291105?\nAnswer: 5, 149, 211129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9*(-30)\/4. Let f = -1 + x. Let n(q) = 2*q**3 - q**3 + f - 2 + 3*q**2. Give n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z**6\/z)\/z)\/z)\/z*(z**3\/z)\/z*z)\/(z**(-1)\/((z*z*z**(-8)*z)\/z)) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-3) - 1) + 6. Solve -8 = k*b - 2*z, -b + 4*z - 1 = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -340973\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981898?\nAnswer: 2, 490949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 - 3 - (-16 + 25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-5) - (-122)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2007 is divided by 1741?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*h - h**2 + 0 - 1\/3*h**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75250 and 24682.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21763250, 21763200, 21763148, 21763094?\n\"Answer: -k**2 - 47*k + 21763298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*k**6 - 2*c*k**3 + 67*c*k + 149*k**6 - k**2 wrt k?\nAnswer: 120*c*k**3 - 12*c + 17880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 19 (c) 0.3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3412 + 3505. What is the least common multiple of 31 and y?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(0 + 2*(-3)\/(-6)). Is 1\/16 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 27 = -6*m + 11*m, 4*m + 3*s = 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**3 - 2*a**2 - 2*a. Let o(i) = 615017*i - 4*i**2 - 27*i**3 - 615026*i - 5*i**2. What is -2*o(t) + 9*y(t)?\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 650 - 403. Does 47 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.04 - 4.49. Let g = -1.55 + m. Which is the closest to 0? (a) -22 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184 and 115?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-3 - 1) - (-6 + (-19 - -27)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27471746 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let x(q) = -8*q**2 - 4*q + 4. Let d(k) = -k**2 - k + 1. Let b(c) = 4*d(c) - x(c). Give r(b(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 3*r - 10. What is b(-6)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n + 16. Give b(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1619 + 4379 = 138*i for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*w**2 + 3019*w - w**3 - 3017*w + 8*w**2 to p*w + q + f*w**3 + c*w**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h**4 + 335*h**2 + 57*h - 203492 wrt h.\nAnswer: -12*h**3 + 670*h + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136521 by -591.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97043.41 litres to millilitres.\nAnswer: 97043410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(7\/21*5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 5458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951.19 nanoseconds to microseconds.\nAnswer: 0.95119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 69562?\nAnswer: -69564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 11*q - 94. Let w(l) = -3*l. What is w(g(f))?\nAnswer: -3*f**2 + 33*f + 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c + 2*c)*(5*c - 3 + 3)*(0*c + 0*c + 6*c**2) to the form x*c**4 + z*c**3 + i + q*c + b*c**2 and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -5870 and -0.057.\nAnswer: -5870.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 = -16. Let n(h) = -5*h - 7. Let j(x) = -6*x - 1. Let t be j(1). Calculate the remainder when n(t) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -24. Suppose -2*s - 33 = n. Let i = s + 49. Calculate the remainder when 34 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = 2*n, 5*n + 35 = 5*a. Suppose 706 = 4*z - a*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-342)\/(-108) + ((-15)\/(-18))\/(-5). Solve 2*m + 2*z + 10 = 0, -n*m + 5*m + 18 = -4*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-66)\/(-33)*(-3615)\/(-3). Let c = i + -1137. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -13. Suppose -8 + z = b. Calculate the remainder when b is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 + 10 + (-42 - -21 - -15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*u + 39 = 5*o - 96*u, 0 = -5*o + 5*u + 75 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 15*g - 477. Let v be m(32). Let r(b) = 2*b - 9. Determine r(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44418371 to the nearest integer?\nAnswer: 6665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8347638, -8347634, -8347630, -8347626?\nAnswer: -8347622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1942*d**5 + 17541*d**4*w + 5*d**2*w - 32*d**2 + 5*d*w - 2*d + 78*w - 3 wrt d?\nAnswer: 116520*d**2 + 420984*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 0 + 4)\/2. Suppose b*z - 315 = -2*z. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o - 46. Let i(z) = z**3 - 64*z**2 + 295*z + 7. Let b be i(5). Give m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062*d**2 - 2981 + 2981.\nAnswer: -1062*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(-5 + sqrt(704) + -1 + 4*sqrt(704))*-2)**2*-5.\nAnswer: -8818000 + 240000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 15) to base 4.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 1, w: 2, c: 1, m: 1, s: 1}. Give prob of picking 1 k, 1 c, and 2 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(15)\/(sqrt(25)\/(sqrt(5) - (sqrt(5) - sqrt(50)\/sqrt(10)))) - (sqrt(3888) + 0)*1)**2.\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuyuuuyyuyuyuuyyuuu?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = -3*g - 3*a, -3*g = -5*a - 29. Suppose -9 = -2*y - g. Let d(j) = 533334*j - 2. Let s be d(y). What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - 7*a**3 + a**2 + 0*a**2 + 22*a**3 in the form q*a**3 + x*a + o*a**2 + z and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -354 - -363. Suppose 3*s = b*s + 5*s. Solve 0 = 2*g - s*g + 3*n - 5, 2*g = 2*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 2178708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.87 + -37.57. Which is the closest to h? (a) 2 (b) 0.4 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 156*j - 2. Let l(i) = 38*i - 1. Let d(g) = 4*l(g) - y(g). Let q(n) = -7*n - 3. Determine 5*d(p) - 3*q(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*l - 6, l + 2*l + 3*h + 9 = 0. Does l = -7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 4*v + 4. Let h be o(4). Let c be 30*((-55)\/15 + h). Solve -35 = 5*n - c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**5\/2 - 705483*t**4 + 69144537*t**3\/2 = 0.\nAnswer: -470371, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10)*(-8000)\/(-92400).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 229*t - 26*t in the form v*t + q and give v.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 1, -1\/9, -324, -9, -0.1, 112?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1119.8, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.41 + -0.4. Let a = -0.21 + f. Sort 0, a, 4 in ascending order.\nAnswer: a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - 4)\/((-2)\/(-1)). Let t be o\/((-875)\/(-20))*-1. Is t greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 - 6 = 0. Suppose -j = 4*y - 8*y - 1243, -c*y = 3*j - 3793. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5999?\nAnswer: 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -4 (c) -58\/871 (d) 2\/15 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -797.751 rounded to zero decimal places?\nAnswer: -798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 1. Let a(r) = -4*r**2 - 2*r - 7. Calculate a(b) + 6*h(b).\nAnswer: 2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12779*f + 12784*f + 5 = 5*q, 5*f = 2*q - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:03 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u - 7*u - 2*u + (u + u - 4*u)*(0 + 2 - 4))*(-4*u**2 - u**2 + 0*u**2) to j*u + x*u**2 + k + f*u**3 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/25, 3\/7, -8\/9, 1\/2, -3?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:49 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/3 + 289*h**4\/3 + 949*h**3 - 49645*h**2\/3 + 141550*h\/3 = 0.\nAnswer: -19, 0, 5, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:16 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - 1 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 5. What is the units digit of o\/(-5) + 86\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 18. Let w(m) = m**3 + 2*m**2 + 2*m. Let p be w(-2). Put p, j, -10 in ascending order.\nAnswer: -10, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 26 = -2*m, -2*m + 7*m - 5*k - 35 = 0. Find the second derivative of m*b + 1 + 9*b + 49*b**3 + 8*b wrt b.\nAnswer: 294*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 377*s**2 + 16 + 16*s**3 + 10*s**3 - 377*s**2 + 7*s - 28*s**3 as i*s + m + w*s**3 + c*s**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = -f. What is the third derivative of 3*i**5 + 0*i**f + 4*i**2 - 3*i**2 + 3*i**2 wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 15\/(-9))*(11 - (-64 + 234))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5292 and -110089.027.\nAnswer: -110088.4978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 329 (b) -5 (c) -2\/7 (d) 0.1 (e) 3\/2 (f) 23 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -9. Let b be ((-2)\/24)\/(u\/(-8)). What is the third biggest value in b, 1\/5, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, r: 9}. Give prob of picking 3 j and 1 r.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1 + (1 + 2 - 2)*(-3 + 5 - 4))*(-2*o + 5*o - 2*o)*(5*o + 2*o - 3*o + 2).\nAnswer: -20*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193647, 387910, 582173, 776436?\nAnswer: 970699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -3*t**5\/2 - 4*t**3\/3 - 17*t. Suppose -16*x + 2558 = 2686. Let g(b) = -10*b**3 - 3*b. What is x*g(y) + 3*l(y)?\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z = 39*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/(-648) + (-11)\/(-3132). Which is smaller: -0.2 or k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(6)*-3)\/(sqrt(10) + -5*sqrt(10)*2 + sqrt(10)) + (-4*sqrt(2112))\/((sqrt(110) + sqrt(110)*-2)\/sqrt(10)).\nAnswer: 259*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 3377.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 82*m**3 + 3*m**2 - 3*m + 1. List the prime factors of f(1).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1027.1134 - -1027. Let h = 0.11339439 + y. Round h to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*n**3 + 1 - 1.\nAnswer: 149*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181493151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(95)*-2)\/sqrt(5).\nAnswer: -2*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11500*k**2 - 11496*k + 3. Give r(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28273?\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) 4 (c) 5 (d) -5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o**4 - 1121*o**3 - o**2 - 51*o + 1129?\nAnswer: -60*o**2 - 6726*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**2 - 1270*d - 25935 = 0.\nAnswer: -19, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 - 169*h**2 + 420*h - 829. What is u(82)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 50*z - 88. Let a be m(2). Let d = -27 + 51. What is the highest common divisor of d and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = -1. What is the tens digit of p\/6 - (-137)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - u = 15*l - 13, 4*l - 4 = -4*u for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 4*s. Suppose -2*r = -4 - 4. Let m be l(r). Suppose -5*o + 95 = -2*f + 26, 0 = 2*o - 3*f - 21. Is o less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 106, 350, 826, 1612?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18 + 546\/28)\/(-1 - 6\/(-4)). Let y(o) = 2*o**3 - 5*o**2 + 3*o. Let r(g) = g**3 - g**2 + g. Calculate l*r(j) - y(j).\nAnswer: j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(180) + 5 + sqrt(180) - 4*4*-4*sqrt(5).\nAnswer: 3 + 76*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1 + -22) - 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-5))\/(3*(-25)\/1350).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32110 and 7605.\nAnswer: 288990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g**3 + 5477*g + 5469*g + 18*g**3 + 5487*g - 16433*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3251129 = 297*c - 5207728. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27292 (base 10) in base 13?\nAnswer: -c565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 516, 2181, 6204, 13761, 26028, 44181, 69396?\n\"Answer: 196*f**3 + 3*f**2 + 284*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 + t - 1. What is u(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose -o*d + 3*n = -4*d - 11, 5*d - 30 = 4*n. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25032.624 take away 163043?\nAnswer: -138010.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/399249 and 77\/221805.\nAnswer: 1996245","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2172 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k = 12. Suppose 12 = -5*s - q, -5*q = -s - k*q. Let z(x) = -x**3 - 5*x**2 + 6*x - 1. Let c be z(-6). Is s not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660611683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 33 = -3*t, o + 40 = 4*t - 27. Suppose -r - 14 = -2*r - k, -r + 5*k - t = 0. Let y be 2\/3 + 39\/r. Solve 1 = -y*p - 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7016749 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 4*j**3\/3 + 30*j**2 - 64*j + 117. Factor w(n).\nAnswer: 4*(n - 1)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 437\/5. Let o(r) be the third derivative of r**4\/24 + 4*r**3\/3 + 28*r**2 + r. Let l be o(-4). Which is the biggest value? (a) v (b) l (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**8\/560 + t**6\/180 - t**3\/2 + 3*t. Let v(p) be the second derivative of q(p). What is the third derivative of v(f) wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 2*o**2 + o + 2. Let w be 4\/((-6)\/(2*-39)). Suppose 9*d - w = 7*d. What is the remainder when d is divided by g(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 20*d + 1. Calculate a(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Suppose -2*i + 0*i + 40 = 0. Calculate the smallest common multiple of s and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 1. Let d be z(1). Suppose 4*j = -d*j. Suppose 5*l = 42 + 28. Solve j = -4*u + 2 - l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3801 + -3794. Solve -5 = -3*n + p, -4*p - 7 = -2*n - y*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.1 - 1.1. Let p = 7 - q. Let k = -1.8 + p. What is the second biggest value in k, 2\/5, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 63200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2. Let r(m) = -7*m**2 + 3*m + 3. Let i(u) = -6*u**2 + 2*u + 2. Let s(t) = -3*i(t) + 2*r(t). Calculate s(a(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 964 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0 (c) 0.5 (d) 24\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39087, -39114, -39141?\nAnswer: -39168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1129205*i + 3. Let b(m) = -3*m. Give b(k(y)).\nAnswer: 3387615*y - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8723586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**23*t\/(t\/t**(-3\/10))*t*t**45*t*t*t*(t**(13\/2)\/t)\/t assuming t is positive.\nAnswer: t**(381\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5195.9963 + -2\nAnswer: -5197.9963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 1. Suppose 55*x = 71*x + 48. Suppose -t + 15 = 2*t. Let v(a) = a - 2. Let p(y) = 1. Let l(g) = -4*p(g) - v(g). Calculate t*r(u) + x*l(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -10 - -2)*-1. Let r be 88\/(-12)*(-6)\/4. Suppose -r*d = -z*d - 422. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 11. Let g(u) = 4*u - 44. Let k(q) = 9*a(q) - 2*g(q). Let n be k(11). Is n != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + -5 + 2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3481\/951 + -2\/317. Calculate the common denominator of (10\/(-12))\/(6\/38) and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4\/5 - 92442*q**3\/5 + 184906*q**2\/5 + 129426*q + 369784\/5 = 0.\nAnswer: -46223, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 6*g + 49*g**2 - 1 - 1\/4*g**4 + 7\/3*g**3. Differentiate b(l) with respect to l.\nAnswer: -6*l + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-8) - 3531\/(-4). Suppose 862 - o = -4*y. Solve 2*h - 4*b = -24, -19 = y*h - b - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-10)*1966\/6881?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**5\/2 - 505*v**4\/3 + 32483*v**3\/2 - 15848*v**2\/3 - 10790*v = 0.\nAnswer: -415, -2\/3, 0, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329834 is divided by 164914.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*p - 21 + 21)*(0*p**4 + 0*p**4 + 2*p**4).\nAnswer: -30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -20 in descending order.\nAnswer: 4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9*10*27\/(-540).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422 = 142*q + 2*o, -764 + 765 = -3*q + 4*q + o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173, -4, -65595, -3 in decreasing order.\nAnswer: 173, -3, -4, -65595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. Suppose -236 = -j*i - 2*i - 4*z, -5 = z. Suppose -9 = 5*x - i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(1*sqrt(81) + sqrt(81)))\/(2*sqrt(432) + sqrt(75)*-1).\nAnswer: -24*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Let a(q) = q + 133. Calculate a(m(s)).\nAnswer: s + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 20*y + 140 = 0, 5*j + 3*y = -2*j + 8*j + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = d - 2*d - 3*q, -2*q = -4. Suppose 5*y = 44 + d. Suppose -a - 5*j = -y, 5*a - 26 = 3*j - 4. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*c - 246*c + 451*c - 1430 = 0 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28261.18 litres to millilitres.\nAnswer: 28261180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 + 4)*(-2*v + 10*v + v) + 13*v + 3*v - 4*v)*(3*v**2 - 2*v**3 - 3*v**2)*(0*v - 2*v + 0*v).\nAnswer: -24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 84, 214, 454, 858, 1480, 2374, 3594, 5194?\n\"Answer: 9*c**3 + c**2 + 64*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(28\/30 + -1). Let h be 3\/5 - (-34)\/10. Suppose t = -4*j + 30, -3*j = t - h*t + p. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-306)\/1836)\/(2\/12). What is the closest to q in -1, 3, 5\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**3 - 8*f**3 + 47*f**3.\nAnswer: 59*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 11:14 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*i**3*o**4 + 18*i**3 + 11*i - 7*o**4 + 2*o + 1 wrt o?\nAnswer: 552*i**3*o**2 - 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 6. Let c be t(-4). Calculate the smallest common multiple of (-3 + 4)*(c - 1) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -13 - -2) + -3. What is the tens digit of (-348)\/(-16) - (-3)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p**3 - 122468 + 122468.\nAnswer: 29*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3092243, -3092253, -3092253, -3092237, -3092199, -3092133?\nAnswer: -3092033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -81 in decreasing order.\nAnswer: 0, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.43825 millilitres in litres?\nAnswer: 0.01343825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - a - 10, -3*w + 4*a = -0*w - 22. Is 11 a factor of w\/8 + (-87)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-7\/6)\/o))\/(o\/((o*o\/(o\/o**(-8\/9)))\/o)*o*o) assuming o is positive.\nAnswer: o**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neuccgul. Give prob of picking 1 n, 1 e, and 1 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4848349, -9696698, -14545047?\nAnswer: -19393396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyhw when four letters picked without replacement from wytfhwwffbtffffht.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - ((7 - (13 - 8)) + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 7*m**2\/2 + 13185*m\/2 - 2826 = 0.\nAnswer: -1884, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*i = -78, 0 = 3*m - 4*i - i + 87. Let p be 60\/m - (-2)\/4. Let n = 1.5 + -2. Sort n, p, -2\/7, 5.\nAnswer: p, n, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*z = 0, 2*z + 8 = -k - 2*z. Suppose 2*o = k, -5*b + 3*o + 17 = o. Suppose 0 = b*r + 4*g - 28, 2*r - 2*g - 2 = 2. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1851 bigger than -1849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 6*w - w)*(-3 + 0 - 2*w**2 + 1).\nAnswer: 2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -0.2056?\nAnswer: -2.7944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6088, -7437, -9676, -12805, -16824, -21733, -27532?\n\"Answer: -445*c**2 - 14*c - 5629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**2 + 19. Let z(u) = u + 14. Let o be z(-20). Let b(i) = -10*i**2 + 37. Let t(r) = o*b(r) + 11*m(r). Find the first derivative of t(k) wrt k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4338546 and -0.5.\nAnswer: -2169273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1407175502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*f + 3*k + 21 = 112*f, -24 = 4*k. Let d(j) = -3*j + 8. Let t be d(6). Let r be (f + 5\/t)*222. Round r to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from pvkkpvrvvkpmkpvr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sukks. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 30228526.176 to the nearest 1000.\nAnswer: 30229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 3*f - 22. What is the tens digit of c(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/15)\/(-5)*(-1)\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, v: 1, d: 7}. Give prob of picking 3 d and 1 p.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 4 - 4)*(3 - 2 - 3) + (2*u - 8*u - 3*u)*(-2 + 5 + 0) as s + w*u and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1642 - 269. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541027 is divided by 513663.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/1440)\/((2\/8)\/1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2671622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.322 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2055 - -0.0055. Let o = -5 - -5.6. Let j = o - 0.2. Sort j, -3, d in descending order.\nAnswer: j, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61422?\nAnswer: 2, 3, 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -400876 divided by -6?\nAnswer: 200438\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2883)\/(-240) + -7 - (-6)\/20 and -161\/1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 13 - (-1599 - -1532)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 52 = 3*f + s - 28, 3*f + 2*s = 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60214338*p**3 + 662313822*p**2 + 482848*p + 88.\nAnswer: -2*(p - 11)*(5487*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1132 - 1.821.\nAnswer: -1.7078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*j + 320 + 695*j - 323.\nAnswer: 123*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-407)\/(-2035))\/(0 + (-2)\/(-20)). Put 0.08, -1, -66, 1, f in increasing order.\nAnswer: -66, -1, 0.08, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 143 = 149. Let k(r) = 5*r**3 - 2*r**2 - r + 1. Determine k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*g - 484. Suppose -o + 144 = -4*j - 0*j, 0 = o + 4*j - g. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5734*17172\nAnswer: -98464248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m**3 + 3*m**2 - m + 1. Suppose -13635*a = -13622*a - 13. Calculate r(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {e: 10, t: 6, y: 2}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85.6 - 85.2. Which is the second smallest value? (a) i (b) -2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12\/41 - -142\/205. What is the nearest to 3\/10 in -2, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31426685 to the power of 1\/2, to the nearest integer?\nAnswer: 5606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bid. What is prob of picking 1 b and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 53 - ((-24)\/180 + (-56)\/30). Suppose -4*w + r = -171, w + 58*r - 33 = a*r. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, h: 13}. What is prob of sequence ddd?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*3 + 5 - ((sqrt(68) - (sqrt(68) + -2 - sqrt(68)))*-3)**2.\nAnswer: -643 - 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17958023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.012 + -0.012. Let k = 159\/2 - 81. What is the smallest value in k, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 62. Suppose 0 = -3*l - g - 12. Find the common denominator of -70\/33 and ((-1)\/(-5))\/(l\/(-215)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27821800 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11900*0.4\nAnswer: 4760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 take away 4383210?\nAnswer: -4383158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 107, 458, 1045, 1874, 2951, 4282, 5873, 7730?\n\"Answer: i**3 + 112*i**2 + 8*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7132 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiuuiiilitzunu. Give prob of sequence zut.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8113 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Let h be (30\/70)\/((-6)\/(-7))*-2. Suppose -32*v + 24 = -20*v. Sort h, v, z.\nAnswer: h, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6671817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s + 13. Let m be b(-3). Let j be (-5726)\/(-119) - m\/(-17). Calculate the greatest common divisor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 20792 - 85931 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**3 - 7*u**2 + 97*u - 198. Determine h(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) + 16\/(336\/69). Solve 3 = a + 2*b, 0 = -4*a - 12*b + 13*b + r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -136473 + -51?\nAnswer: -136524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -557172?\nAnswer: 557180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -28*r**3 + 11*r**2 - 10*r + 334. Let y(u) = u**3 - 3*u**2 + 2*u. Let f(z) = -h(z) - 6*y(z). Find the second derivative of f(l) wrt l.\nAnswer: 132*l + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 797548?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167809571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 219016671\/4 at most as big as 54754167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r + 5. Determine g(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i**2 - 8*i. Let a be z(-8). Suppose 3*h - 2 - 12 = -4*p, a = 5*h - 5*p. Solve 4 = 2*u - j, -4*u + 4 = -h*u + 5*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - 1) + (-27 - -32)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y - 52 - 27 = 53. What is the smallest common multiple of y and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 33. Let u = w + 65. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-60)\/(-4) - (3 + 0). Let q = m + -21. Let w(z) = z - 6. Let j be w(5). Which is the third smallest value? (a) q (b) j (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/3 + 32 + -15 - -8. Calculate the highest common factor of s and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 14 = 56*h - 34 - 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Calculate the least common multiple of -3*(6\/(-9) - 2) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9149, -9115, -9013, -8807, -8461, -7939?\n\"Answer: 6*t**3 - 2*t**2 - 2*t - 9151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + sqrt(18)\/(sqrt(8)\/sqrt(4)) + sqrt(9) - -5*sqrt(36))\/(sqrt(243) + sqrt(243) + (sqrt(243) - (sqrt(243) + -1*sqrt(243))*-3))*2.\nAnswer: 26*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n + 1. Let c be a(2). Let z = -3 + c. Suppose -4*p + z*p + 16 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -10*u**4 + 2*u**3 = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 49*f - 86. What is the thousands digit of c(31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.127, 2, 0.3, 0.1 in increasing order.\nAnswer: -0.127, 0.1, 0.2, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44277*v**4 + 28*v**3 + 41586*v**2 + 2*v + 1 wrt v.\nAnswer: 1062648*v + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1675647.\nAnswer: 3, 137, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 346, 871, 1748, 2977?\n\"Answer: 176*t**2 - 3*t + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24 - ((-13 - -18) + 14)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0383186 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5 - 3 + 2*x + x - 9*x. Let u(s) = -13*s + 5. Suppose -28 = 2*g - 10. What is g*d(i) + 4*u(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 0.2, -87289, 2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2 - 287*v + 286 = 0.\nAnswer: 1, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*y = 12, 121*y = o + 245*y - 121*y - 10 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l**2 + 15*l**2 + 8*l - 16*l + 8*l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 228 = -3*d - 231, -4*q - 3*d - 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**2 + 2*o - 1. Let d be j(-1). Suppose 1 = 4*a - 3*a. Put -2, a, d in descending order.\nAnswer: d, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 1:01 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -0.1. Let d be (4\/18*-1)\/(-2). Which is the nearest to -1? (a) d (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2086 and 15\/2.\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51409433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - -2) + 0 + -3. Let c = 13 - t. Let f(i) = 2*i**2 + 5*i - 5. Is f(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -4 - (-5 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 18, 30, 46, 66, 90?\n\"Answer: 2*c**2 + 2*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2)*(3 - (-4 - -7)). Solve -4*r - 4*d = 0, -5*r + 0*r - 2*d + 6 = a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 45130*f - 1797200.\nAnswer: -5*(f + 40)*(f + 8986)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 + 2*u + 11. Let o(c) = -3*c**2 + c + 5. Let h(i) = -2*b(i) + 5*o(i). Give h(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -9. Let t = -5 + 3. Let z(u) = u + 1. Let r be z(t). Put r, -2, i in descending order.\nAnswer: i, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 2*r**2 - 18*r**2 - r**2.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 11*l - 11. What is y(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -999984, -999687, -999190, -998493, -997596, -996499?\nAnswer: -995202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2826 by -6.\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -6 - (2\/7 - 12\/42). Sort h, 8, 30, -3, -2 in descending order.\nAnswer: 30, 8, -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.243 * 2692\nAnswer: 8730.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 14008146 in decreasing order.\nAnswer: 14008146, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.98 - -11.32. Let a = 14.2903 - f. Round a to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*87\/377\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-10))\/(6\/(-16)*(-48928)\/(-13761))*5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.006432 * 2.95\nAnswer: -0.0189744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from mewjmja?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1376457 - -0.2623543. Let z = -3 - -2. Let s = -4.3 - 0.7. Which is the third biggest value? (a) z (b) s (c) n (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 11*w**2 + 2*w + 13. Does 37 divide y(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n, a + a + 2*n = 10. Sort -2\/15, 1\/4, a in ascending order.\nAnswer: -2\/15, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 + 158 = 3*b. What is the tens digit of ((-780)\/b)\/(-5 - 291\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401140320 (base 5) in base 9?\nAnswer: 2873546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 + 178. Let v = 0 + c. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 18 = 4*t. Suppose -298 = -t*o - 100. Let n(q) = -54*q - 642. Let a be n(-12). Calculate the greatest common factor of o and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**4 - 1254*d**3 + 369*d**2 + 1116828*d.\nAnswer: -24*d**2 - 7524*d + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 1. Let a be 12\/(-21) - (-64)\/14. Let c(t) = -t - a - 6*t - 5*t**2 + 13*t - 5*t. Let u(n) = -3*c(n) - 12*g(n). Give u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2933*v + v**2 + 2941*v + 13802 - v**3 - 13810. Determine u(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 2. Let h be j(-4). What is the tens digit of h\/(-6) + (-104)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*n - 14, 2 = -5*y - 3*n. Solve 5*q = -y*u - u + 28, -3*u - 2*q = -13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 0)\/(28\/(-1330)). Let a = 55 + -92. Let x = a + m. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*u = 2, -5 = 2*b + u - 4. Suppose b = 5*s + 4*c - 17049, -3*s - 3*c - 2*c + 10232 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 4, e: 1, s: 2}. Give prob of sequence es.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11 + 1)*1\/3. Let m = -74 - -129. Suppose -q*t + m = -3*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549724037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*y = 26, -5*y - 39 = -64. Let q(a) = -25*a - 4. What is q(n)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*z - 675994, -4*a + 4*z + 337398 = 3041410. What is a rounded to the nearest ten thousand?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -5)*5\/5. Let j be (-27)\/g*2\/3. Suppose 2*z = j*z - 25. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -516946*f**3*v**3 - f**3*v + 9*f**2*v**3*z**2 + f**2*v**2*z**2 - 23435*f**2*v*z**2 wrt v.\nAnswer: -3101676*f**3 + 54*f**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/20 and 41\/8054?\nAnswer: 80540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655129867 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 25 + 28)*(9*y - 2*y**2 + 3*y**2 - 2*y**2) in the form n*y**2 + v + s*y and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/6*(-4)\/40*-1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*-2.187155.\nAnswer: -131.2293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 + 2*j**2)*(0*j**2 + 0*j**2 - j**2) - 3*j**4 + 4*j**3 - 4*j**3.\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 12033600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-131 - -6))*1\/1. Let h(o) = -o**3 - 26*o**2 - 4*o - 61. Let w = -4 - 22. Let m be h(w). What is the highest common divisor of n and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(-4*sqrt(90)\/sqrt(9)) + (sqrt(2496) + sqrt(2496)*1 + sqrt(2496))\/sqrt(3).\nAnswer: 95*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - 2 - -3 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 135 = -10*m. Suppose -2*a - 3 = -m. Let h be a\/9 - (-2)\/(-6). Solve -h - 1 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -698, 46, 790, 1534?\nAnswer: 2278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -285? (a) -2 (b) -214 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 700.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 18, t: 1}. Give prob of picking 1 t and 3 e.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*20\/15*-30. What are the prime factors of ((-782)\/102)\/((-2)\/y)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 9. Let t be k(7). Let f(i) = -2 - 179*i**3 + 178*i**3 + t*i**2 - 4*i + 2*i**2. Let z = -5 + 4. Let s(p) = -p**2 + p. What is z*f(u) - 4*s(u)?\nAnswer: u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/60 and 41\/2399892.\nAnswer: 11999460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 1a1a5?\nAnswer: -1a1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*j = -173, -j + 94 = 5*n - 804. Calculate the least common multiple of n and 1432.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1829*q - 60 = 917*q + 909*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 107, 951, 3245, 7715, 15087?\n\"Answer: 121*x**3 - x**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6221820 divided by 10.\nAnswer: 622182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 9 + (13 - (37 + -17)) + 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4142 - 4122. Sort -6, 1, g, 4 in descending order.\nAnswer: g, 4, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 199*m - 198*m + 379*m.\nAnswer: -3*m**2 - 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -ad?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 45141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1526335 = -237*c + 994871. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43*(-10)\/72 - (1002\/(-25551) - 616\/(-102))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9.12. Let y = -1.78 + 2.9. Let a = q - y. Put -1\/6, 0.5, a in decreasing order.\nAnswer: 0.5, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68025441 by 33.\nAnswer: 2061377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-36))\/(2\/12 - -1). Sort 0, -4, u, -0.3 in descending order.\nAnswer: u, 0, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 447546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/78 and -115\/36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -76. Let n be 57\/(-36)*-622 + o\/12. Suppose -4*y + n = 353. What are the prime factors of y?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.64 - -0.16. Round o to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 28 = -0*y. Solve 3*t = -3*q - 21, 2*t - y = -q - 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -214? (a) -8\/3 (b) 2\/5 (c) 0.1 (d) 67 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (528\/144)\/(2\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6298 is divided by 2756?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 15. Calculate the smallest common multiple of o(6) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11407, 0.1, -4, 5, -5, 1 in descending order.\nAnswer: 5, 1, 0.1, -4, -5, -11407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 2, b: 2, a: 1}. Give prob of picking 1 b and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.2. Let y = -5.02 - -0.02. Let s = 3 + y. Which is smaller: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f*f**(-3\/8))\/f)\/f*(f*f**(-22)\/f)\/f)\/((f\/(f\/(f*f\/f**14)*f))\/f**(17\/2)))**30 assuming f is positive.\nAnswer: f**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54977458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1619*h**4 + 36 - 1583*h**4 - 2*h**2 + 2*h**2 wrt h?\nAnswer: 144*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/2, 0, -17, 1073, 10 in increasing order.\nAnswer: -17, -1\/2, 0, 1, 10, 1073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.01 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52807926, 3, -5 in ascending order.\nAnswer: -52807926, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 59209684.23 - -0.26\nAnswer: 59209684.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, v: 1, o: 6, c: 5, u: 1, w: 3}. Give prob of picking 1 z, 1 c, 1 o, and 1 w.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 928 - 521. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o - 6 + 6.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 v when four letters picked without replacement from {v: 5, z: 3, f: 5}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(3*i - 3*i - i) + (4 + 7 - 6 + (3 + 1 - 3)*(1 + 1 - 4) - 1 + 4 - 2)*(-8*i + 8 - 8).\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/((g**(-2\/39)*g)\/g)))\/g**4)\/(g**(-4\/9))**(3\/41) assuming g is positive.\nAnswer: g**(-1609\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -76 - 29\/3*n**3 + 0*n + 0*n**2. Let s(a) = -2*a. Give o(s(d)).\nAnswer: -116*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13190073 to the nearest integer?\nAnswer: 3632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1757\/3 + 9964\/15. Let s = -79 + i. Which is the closest to -1\/3? (a) 1 (b) 3\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 125910 and 125910 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**3 - 10*i**2 - 6*i + 6. Let h(c) = -13*c**3 + 19*c**2 + 12*c - 11. Let d(y) = -11*a(y) - 6*h(y). Let k be d(5). Put k, -1, 4 in descending order.\nAnswer: 4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - p + p)*(295 + 459 + 237)*(2*p**2 + 2*p**2 - 3*p**2) - 5*p**4 + 4*p**4 - p**4.\nAnswer: -1984*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 28, 6, -54, -164?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 - 6*n + 2*n - 2 + 0*n**4 + n**4 + 2*n in the form c*n**2 + p + i*n**3 + r*n + s*n**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/((sqrt(6) + -2*sqrt(6))\/sqrt(3)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/(-1)*(-204)\/(-1530)*45\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z\/z**2)*z*(z*z**(3\/4)\/z*z)\/z*z**4*z**5*(z**4*z\/(z*z*(z**(-1\/2)*z)\/z))\/(z\/(z\/(z*z*z**(-1\/3)*z*z))*z**(-2\/19)) assuming z is positive.\nAnswer: z**(2665\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 10*f - 18. Let j be n(-12). What is the greatest common divisor of j and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 830 + 3294 = 0. Let i = j + -226. Put 4, -13, i in decreasing order.\nAnswer: 4, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7627420?\nAnswer: 2, 5, 381371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = 3*i + 131 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from {a: 1, m: 1, e: 1, k: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*544\/(-5304)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -572*k + 191*k - k**2 + 186*k + 41 + 175*k + 2*k**2. Give y(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - v + 4325 = 6*u, 3*v - 3 = 0. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 804 and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187389 is divided by 93679.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 0.0186952236.\nAnswer: 0.1186952236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-40)\/b**(2\/69) assuming b is positive.\nAnswer: b**(-2762\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 123*t**2 + 11*t - 34. Give w(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 + 36*p + 43. Let l be g(10). Let m be 3\/12 - (-19)\/4. Suppose -v + m*y = -15 - 10, l*v = 2*y + 101. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137 and 17947.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1589786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.82832ml?\nAnswer: 0.00982832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 22*q - 255. What is a(16)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4562339024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.631?\nAnswer: -1.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 5*r + 4*b + 362, r + b + 66 = 0. Let n be 1\/2*(r\/(-18) - -3). Let h = -3 + n. What is the second biggest value in -3\/5, h, 4, -7\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/(-390))\/(1\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543067221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 544960 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52 + 18 - 3654*i**2 + 47*i**4 + 3654*i**2 wrt i?\nAnswer: 188*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9130 - -9142. Which is the fourth smallest value? (a) -4 (b) -0.38 (c) 4 (d) o (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.21 + -0.51. Which is the third smallest value? (a) -3 (b) -4 (c) p (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1087*o + 38*o**2 + 1087*o)*(-20*o + 25*o + 35*o) - 5*o**3 + 2*o**3 + 2*o**3.\nAnswer: 1519*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 7. Let a(m) be the first derivative of 4*m**2 - 2*m - 9. Let q be a(1). Let g(j) = -5*j + 13. Give q*g(t) + 11*y(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/140*(-2)\/3. Let n = j - -9\/35. What is r in -n + 2\/7*r**2 - 2\/7*r**3 + 2\/7*r = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/42)\/a*a**(-20)*a*a assuming a is positive.\nAnswer: a**(-757\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909272849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 2182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 110221428.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437724 to the power of 1\/2, to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -20)\/(-6) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)\/(2\/2). Suppose 10 = 5*j - z*j. Let b(h) = -h - j*h + 2*h. Let l(a) = a**2. Determine l(b(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000331111213 (base 4) in base 7?\nAnswer: -264511433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8553, 8505, 8427, 8319?\nAnswer: 8181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 36. Let h be x(11). Suppose 3*y + 4*z = 75, 2*y - z - 48 = -h*z. Calculate the highest common divisor of y and 294.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 0.1, 4, -0.3, 143, 2633?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-596*q + 589*q + 36 - 4)*(3*q + q**2 - 3*q).\nAnswer: -7*q**3 + 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.6 - 73. Let b = 5.4 + i. Let u = 23.000011 + b. What is u rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -5, 60, 167, 316, 507?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-6)*-1*19517\/232. Let b = f - -338\/3. Sort -1\/2, b, -4, 2.\nAnswer: -4, -1\/2, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*u + 7 - 30 = 0, 17 = 2*m + 3*u. Suppose 0 = -m*w + 8*w - 1200. Let o = w - 151. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5))**(-9)*v\/v**(3\/10)*v**(-5) assuming v is positive.\nAnswer: v**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 760713.650081 + -760846.65. Let n = t - -133. Round n to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*y - 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 3\/7 (c) -1241272 (d) 0.6 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/132 and 102\/(-54) - (-8)\/36.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*m**2 - 7 + 5 + 946*m**2.\nAnswer: 865*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 2*a**2 + 7*a + 1. Suppose -9*x + 11*x + 5*b = 3, -b = 4*x - 15. Let v be r(x). Let s be -2*(-2)\/(-4) - 3. Which is smaller: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 1506840740?\nAnswer: 1506840740.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwwwwkkkwkwkkkkkwwkw. What is prob of sequence wkkk?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3*a - a + 8)*(-1 + 4 - 4).\nAnswer: 2*a - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0 - 1 = -3*x, -u + 4*x = -3. Let n(h) = -36*h. Let z(k) = 468*k + 1. Let q(b) = -4*n(b) - z(b). Is q(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let g be 118\/(5\/10 - p). What are the prime factors of (g\/10)\/((-4)\/10)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 43*h + 44*h + 23 = -5*w, -51*h - 561 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029291505?\nAnswer: 3, 5, 19, 1223, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 3 + -5)*-2 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156bb (base 12) in base 2?\nAnswer: 10000000111010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -82737115, -82737114, -82737113, -82737112, -82737111, -82737110?\n\"Answer: q - 82737116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-8)*-4 - -6. Which is the nearest to 1? (a) -3 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 2582*m - 885216. Determine o(-407).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = -2*z + 4*l, -20 = -4*l. What is the derivative of 2*p**2 - 3*p**4 - 2*p**2 + z - 3 wrt p?\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 - 5.84. Let k = -5.6 - z. Let i = 13 - 15. Sort 2, k, i in decreasing order.\nAnswer: 2, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:10 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 + p + 1. Suppose -5*z = -6 + 1. Suppose 0 = -2*j + j - z. Let f be n(j). Solve 4*m - f + 0 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 3*f + 150. What is the greatest common factor of f and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {r: 4, g: 2, i: 2, w: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -402026 + 78?\nAnswer: -401948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -10195\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*t + 48*t + t**3 - 3*t**4 + (-t**3 + 5*t**3 - 3*t**3)*(-2*t + 4*t + 0*t).\nAnswer: -t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i. Let m(u) = -3228968*u**2. Give m(r(d)).\nAnswer: -116242848*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -2\/19, -3, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1 + 3*q - 2*q + 0*q + 7. Let m be r(-5). Let a = 2\/453 + -2273\/1812. What is the third biggest value in m, a, 2\/21?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-434)\/(-1072) + ((-1326)\/2431 - 45\/(-264)).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**5 + 6344*m**4 - 278008*m**3 + 3544912*m**2 - 10284396*m - 14113656 = 0.\nAnswer: -1629, -1, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1832 and 308692?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {w: 5, i: 2, z: 3, l: 3, h: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0082 times -87211\nAnswer: 715.1302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 4*z**2 - z - 1. Let u be d(3). Solve -2*h - 3*h + 35 = 5*p, -u*p + 21 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + -3*(-5 + 4*sqrt(832) + -1).\nAnswer: -96*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aflcacaaccccpaspp. Give prob of sequence cl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z + 219. Calculate the least common multiple of p(-48) and 225.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10400909 and 137?\nAnswer: 1424924533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*g - 0 + 6, 0 = -4*j + 3*g - 16. Let h = j - -3. Solve -5*d + 11 = p, -h*d + 1 = -p - d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/4 and 4 + -123*5\/(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 5)*3\/9. Is 309 + ((-2)\/n - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 54 = -2*p + 2*r, -3*p + 4*r = -63 - 45 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13161 (base 8) to base 14.\nAnswer: -2145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -178*q**3 + 9*q**2 - 13*q - 850. Let u(o) = -59*o**3 + 3*o**2 - 4*o - 283. Let t(j) = -2*g(j) + 7*u(j). Find the second derivative of t(n) wrt n.\nAnswer: -342*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000046067696 rounded to six dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/15 - 4*z**2 + z - 1315. Let d(b) be the second derivative of 10*b**3\/3 - b. Calculate p(d(w)).\nAnswer: 1600*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/13 + (-230)\/(-26). Let v be 2\/k + (-4424)\/63. Is 2\/(-7) + (-155490)\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + sqrt(17) + -4 + 5 + -3)**2.\nAnswer: -8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2074193 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 53 = -5*m, -3*h - 3 + 9 = 3*m. Let r be h*(-7)\/(-49)*2. Factor -8\/5*v**3 - 2*v - 4\/5 + 22\/5*v**r.\nAnswer: -2*(v - 2)*(v - 1)*(4*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04565 minus 149735.153?\nAnswer: -149735.10735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7215 divided by 2\nAnswer: 7215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*y - 3*z, -z = 5*y + z + 33. Suppose -x + 31 = 3*m, 4*x + 22 = m + 2*x. Let l = m + y. Solve -5*k = 5*g + 40, 0 = 3*k + l*g - 8 + 38 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6296, 12582, 18866, 25148, 31428, 37706, 43982?\nAnswer: 50256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*i + 28. What is the remainder when (-1265)\/(-25) - 14\/(-10) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolloloolloooo. What is prob of sequence lo?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 446702152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24048?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 35 = 5*t, -r - 5*t - 5 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2147 is divided by 309?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (75\/(-30))\/((-5)\/8). Let n(q) be the third derivative of -1\/36*q**i - 8*q**2 + 0 + 0*q**3 + 0*q - 1\/90*q**5. Factor n(v).\nAnswer: -2*v*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 1 + -6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2450675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1757*h + 425174. Give b(242).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 10*i - 6. Suppose 0 = -2*u - 2*u + 8. Suppose -2*b - 32 = u*b. Is 14 a factor of x(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:50 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6015 = -2*o. Let r = 3098 - o. Let y = r + -4299\/4. Find the common denominator of y and 119\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 893508 = 16887*s - 16859*s. List the prime factors of s.\nAnswer: 3, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20269817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 964 or -13?\nAnswer: 964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 30, 222, -0.1, -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 62. Let y be (-4)\/(-16) + (-60)\/(-16). What is the second smallest value in j, -0.06, y?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**2\/6 + 1626661*l\/6 = 0?\nAnswer: 0, 1626661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 185, 1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 minutes before 12:18 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.1. Let v = z + -0.4. Suppose -15*k = -19*k. Sort -1\/2, v, k.\nAnswer: -1\/2, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -87*l + 3132. Let o be q(36). Are o and 1\/14174 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3 - 17*f**2 + 38*f + 56 = 0.\nAnswer: -1, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) - (-660)\/54. What is the remainder when (-78)\/(-8) + (-9)\/k is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10719709 - -11368291. What is j rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avmmav. What is prob of picking 1 v and 1 m?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*z + 5*m - 229, 0 = -4*m + 20. Let y be (-54)\/z*10\/3. What is the highest common divisor of 32 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-5))\/((-2)\/10). Let i be (2\/4)\/(1\/(-2)). Let h = i - f. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*15*(-25)\/(875\/(-28)) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1065285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 32) + (-7 - -3) + (23 - 15)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -772558, -772577, -772598, -772621, -772646, -772673?\n\"Answer: -m**2 - 16*m - 772541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose -g = r - 36 - 107, -b*g = 2. Calculate the highest common divisor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(128) + 0 + sqrt(128))*5)**2.\nAnswer: -800*sqrt(2) + 12822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -273, 1, 4 in descending order.\nAnswer: 4, 1, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*a = -609*a - 156 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:45 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 942790 plus 960913?\nAnswer: 1903703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -226309*k. Let o(t) = 11*t**2. Calculate n(o(h)).\nAnswer: -2489399*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1773313, 3546671, 5320077, 7093537, 8867057, 10640643, 12414301?\nAnswer: 14188037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsk when three letters picked without replacement from {d: 1, j: 5, k: 1, f: 1, s: 3, h: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9339 = -3*a, 4*a = 5*b + 16379 - 3900. Does 69 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204 - 140. Let l = s + -67. Which is the closest to -3? (a) l (b) 2\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8433 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)*g)**(-10) assuming g is positive.\nAnswer: g**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -533 (b) 3 (c) 4\/27 (d) -2 (e) -3 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81391.\nAnswer: 199, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 549204376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 11*s**4\/12 - s**3\/6 + s**2 + 8*s. Is 16 a factor of w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4, -17519 in decreasing order.\nAnswer: 5, -2, -4, -17519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009783538 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/4 - 11*j**4\/2 + 41*j**3\/2 + 17*j**2 - 299*j\/4 + 85\/2 = 0. What is j?\nAnswer: -2, 1, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.289613952 rounded to 3 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 493813, 493811, 493809, 493807, 493805, 493803?\n\"Answer: -2*h + 493815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -55*j. Let z be f(-1). Suppose 4 - 1 = r. Suppose -4*k - k + 125 = 5*l, -r*l + 9 = 0. Calculate the greatest common divisor of k and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 9*t - 6. Let o be (-86)\/(-14) + 3\/(-21). Suppose 0 = 4*z - 38 + o. Calculate i(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/9, 10038\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*m*x**3 - j*m*x**2 - j*m*x + 3*j*m + 609*j*x**3 + 58*m*x**3 - 3*m*x**2 - m*x wrt x?\nAnswer: -12*j*m + 3654*j + 348*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-2 - 3)) + 2 + 12 + -71 + 96?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*42\/(-315)*-35?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.89839 - -23.9. Round d to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, -20, -114, -244, -410, -612, -850?\n\"Answer: -18*m**2 - 4*m + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-54)\/(-4))\/(0 - 6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -103*f**2\/3 - 108*f - 15.\nAnswer: -(f + 3)*(103*f + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l**2 + 3*l + 5. Let u(o) = 12*o**2 + 3*o + 4. Let p(s) = -6*g(s) + 7*u(s). Suppose 5*i = -4*q + 21, 2*q = 5*i - 3*q - 30. Is p(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-16 + 11 + -8) - 13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.5 (c) -3 (d) -3\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*b + 5, 26*h - 29*h - 3 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a - 5. Let x(y) = 12*y - 16. Let v(u) = 16*b(u) - 5*x(u). Let l(t) = -11*t. Let p = -16 - -13. Give p*l(f) - 8*v(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13890 * -0.07.\nAnswer: 972.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 - 2 = 0. Suppose z*l - 13 = l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 - 11. Let l be n\/(-8) + (-1)\/(-2). Suppose -5*w + 3*z - 9 = 0, 4*w + l = -w + 5*z. Which is smaller: w or 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*b - 9, -3*b = 4*g - 0*g - 21. Suppose 0 = -b*h + h + 18. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495825 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: Multiply 90727 and 0.03.\nAnswer: 2721.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:43 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 7*t - 5. Let a be k(5). Suppose -109200 = 7*l - a*l. What is l rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 33459752763*q - 33459752763*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 24*x**2 - 9. Let u(g) = -13*g**2 + 5. Let b(t) = -5*n(t) - 9*u(t). Let m(f) = 3*f**2 + 2*f - 2*f. Calculate m(b(r)).\nAnswer: 27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 41 = 5*s, -30*s - 2*d + 28 = -34*s. Let u(b) = 2*b - 17. Let n(y) = -y + 8. Determine s*n(l) - 2*u(l).\nAnswer: l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 134?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -0.7. Let c = v + -0.700052. Round c to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, b: 10, r: 1, t: 3}. Give prob of picking 2 t.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -559, -558, -557?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**2 - 2*o - 3. Let i(m) be the first derivative of -13*m**3\/3 + 5*m**2\/2 + 7*m + 1. Let a = -1502 + 1495. Determine a*g(q) - 3*i(q).\nAnswer: -3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-4*a - a + 6*a) - 31486 + 63011 + 10*a - 31476.\nAnswer: 11*a + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 19\/3. Let c = -577 + 20767\/36. Let v = c + 1\/18. What is the closest to -1 in v, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 178*g**3 - 8*g**2 + 90*g + 41. Let d(b) = -21*b**3 + b**2 - 11*b - 5. Let t(c) = 2*a(c) + 17*d(c). Calculate t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:37 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 67, 72, 77, 82, 87, 92?\n\"Answer: 5*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1)\/((-35)\/140)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -614317 + 1?\nAnswer: -614316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*s + 62*s - 321*s - 11730 = 0 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 3*g - 3, 40*m - g - 32 = 36*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 48843, -1603, 1 in decreasing order.\nAnswer: 48843, 1, -1603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/((3\/(48\/4))\/(110\/(-30)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/33 + -152\/165. Let u be (-4)\/18 - (-87)\/27. Which is the nearest to u? (a) 0 (b) n (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 828847 = 18060. Let b = g + -2944372\/69. Calculate the common denominator of b and -121\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-216)\/(-315) - 3*(-6)\/(-45). Which is the closest to p? (a) -2 (b) 0 (c) -20 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s*s**1)\/(s**(-2\/5))**26)\/(s**(-2\/27)\/((s\/s**10)\/s))**14 assuming s is positive.\nAnswer: s**(-17086\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -196976 and -32951465.\nAnswer: -33148441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + n + 6*n - 3*n - 2*n - 1. Let l be h(-3). Find d, given that d**l - 2 - 4*d - d + 3*d + d = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/2 - 307*f**4\/6 + 7592*f**3\/5 + 24336*f**2\/5 - 2958*f - 1. Solve x(y) = 0.\nAnswer: -1, 156\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23030310 (base 4) in base 13?\nAnswer: -17b5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 70. Let i be z(-25). Let j(h) = 5*h. Let x(q) be the second derivative of 7*q**3\/6 + 61*q. Determine i*x(u) - 6*j(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 956450, 956498, 956544, 956582, 956606?\nAnswer: 956610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122746287 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2693 - -2695. Let p(u) = 2*u**3 - 9*u**2 + 3*u + 4. Let o be p(4). Solve o = 4*h + r + 17, -k*r = 3*h - 6*r - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1571*s**2 + 1301*s - 25. Let v(n) = -1572*n**2 - 1301*n + 30. Let t(d) = -6*l(d) - 5*v(d). What is the second derivative of t(k) wrt k?\nAnswer: -3132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 21, 2 in decreasing order.\nAnswer: 21, 12, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 304 and -4.\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456943693.\nAnswer: 587, 778439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 2 = 9*w. Let f(q) = q**2 + 6*q - 6. Calculate f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - v**2 + 178*v + 533. Calculate r(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284 divided by 432?\nAnswer: 571\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 69. Suppose -4*f - 3 = -5*v + 5, k = 3*v - 12. What is the fourth biggest value in f, -3, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*u + 281*u - g = -76, u - g + 38 = 0 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 13*y**2 + 16*y**3 - 6*y**3 - 2.\nAnswer: 10*y**3 - 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*g + 59*g - 2*a - 834, 0 = 3*g + 3*a - 648. Calculate the remainder when g is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5274 + 5272 + 116*j**3 - 218*j**3.\nAnswer: -102*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 29*t**2 - 198*t - 4. Determine o(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:03 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 4c1?\nAnswer: -4c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 + (13 - 7) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 10:18 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**6\/2 + 18*i**5\/5 + 3*i**4 - 6*i**3 - 15*i**2\/2 + 219. Factor l(f).\nAnswer: 3*f*(f - 1)*(f + 1)**2*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d6674 (base 14) to base 5.\nAnswer: -401432143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = -4*i, -33 + 1 = -2*i - 5*g. Let k(v) = 14*v**2 - 2*v. Let u(z) = -z**2. Determine i*k(c) + 6*u(c).\nAnswer: 8*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 9134*k - 9131*k - 150 = 0, -2*a = -k + 51 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -55. Suppose 5*n + 15 = 0, -3*n + o = -4*k - 8*n. Is 13 a factor of (4\/(-10))\/(k\/1620)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3102025 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 948, 957, 964, 969, 972, 973, 972?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 6*o + 469. Give j(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*s = 19*s + 2569 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708466 - 354234 + 12*o**2 - 354232.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132 in -737, -168, 0, 1\/2, 3\/2, 0.4?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263966 is divided by 52769.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/6 - (-10)\/12)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*p**3 + 357*p**3 + 388*p**3 - 1235*p**3.\nAnswer: -82*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p. Let y(g) be the second derivative of 0*g**2 + g + 0*g**3 + 0 - 1\/2*g**4. What is y(t(q))?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 34. Let f(w) = 198*w - 2. Let n be f(k). Suppose -16*q + 1760 = -n. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.474 - -0.074. What is the closest to 3 in -0.2, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 587 - 227 = 0. Calculate the greatest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16.806036 and 0.5.\nAnswer: 17.306036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1 + 9*a - 8*a - 8*a**2 - 2*a**3 + 3*a**3. What is the smallest common multiple of 6 and f(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3502.5 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3*u - 2*m**2*u**3 + 985*m**2 + m*u**2 + 2*m - 9*u**3 - 13*u**2 wrt m?\nAnswer: -6*m*u - 4*u**3 + 1970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 39881666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*o - 39*o = 27*o - 10864 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/639 + -215\/639. Which is smaller: -16.3 or u?\nAnswer: -16.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10*i**3 - 3*i**2 + 2. Let s be g(-1). Let x be 98\/8 - (-2)\/(-8). Let v = x - s. Calculate the remainder when 112 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -750*l + 786. Let p(z) = -187*z + 196. Let t(v) = -2*d(v) + 9*p(v). What is the derivative of t(w) wrt w?\nAnswer: -183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - s + 51, 4*r + 7*s - 9*s - 78 = 0. Let b = 169 + r. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1202 - -1337. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(627\/1064 + 10\/(-14))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6855, 14154, 21479, 28842, 36255?\nAnswer: 43730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2 = 4*k, 5 = -5*k - 2*r + r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -22*s + 1. Let v be q(1). Let d = v - -21. Suppose -2*r = 3*o - 436, -3*r + 5*o + 350 + 304 = d. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/14 - (29\/(-7) - 1). Suppose -g - 47260 = -y*a, 4*a = -g + 23409 + 14390. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19954 and 81568324?\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 899*y - 892*y = 112. Calculate the lowest common multiple of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 10502*q\/7 + 224268.\nAnswer: 2*(q + 154)*(q + 5097)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 5*d**2 + d**2 - 8*d**2 + 2*d.\nAnswer: -12*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/((-101)\/(113120\/(-23310))*(-4)\/(-6)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(5) + 4)*3.\nAnswer: -105 - 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1640 + 1656. Which is the nearest to -3? (a) -0.4 (b) o (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*m, -5*s - m - 6184 = -7*s. Does 247 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101001111011010 (base 2) in base 8?\nAnswer: 251732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10}. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y + 8. Factor -y*j**2 + 4*j - 3*j**3 + 5*j**2 + j**3 + j**2.\nAnswer: -2*j*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84469250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41258161 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let v(t) = 53 - 53 - 4*t. Determine 5*d(s) - v(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/(w*w**(1\/4)))\/w*w)**(-8))**21\/((w\/w**(-1\/2))**(-33)\/(w**(-7)\/w*w**(-1))) assuming w is positive.\nAnswer: w**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, q: 3, e: 3, a: 3, j: 1, c: 2}. What is prob of sequence qjqq?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 396.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/123, -440\/17, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*-3*(-6)\/9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*((-45)\/6)\/(-5). Let f = s - -14. Solve 4*w = 4*m + w + 14, 3*m + f*w - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = -11*d - 9*d + 94. Let x(r) be the second derivative of -r**4\/12 + r**3\/2 - r**2 + r. Calculate x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - 113. Suppose 3*i + 5*z - 35 = 0, -z + t = -0*i + i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c. Let t(s) = 88. Let q(m) = -2*i(m) + t(m). Is 48 a factor of q(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8)\/(((-12)\/(-400))\/(7\/35))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345481645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563150?\nAnswer: 2, 5, 7, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 334645, 334748, 334927, 335188, 335537, 335980, 336523?\n\"Answer: d**3 + 32*d**2 + 334612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from ztytyyttttytxtyt.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**4 + 58*a - 46*a + 4*a**4)*(3*a + 0 + 0).\nAnswer: -3*a**5 + 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 588419.4 micrograms in nanograms?\nAnswer: 588419400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-28 + 30 - -16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 4*x**2 - 4*x - 2*x**2 in the form m*x + i*x**2 + g and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + -5*sqrt(204) - sqrt(204))*1)\/(2*2*sqrt(12)).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 51 = -5*t. Suppose -2*r = -5*w - 154, -r = r - 4. Let z = t - w. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(15\/20 + 2271\/12). What is i rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 8. Let m be v(7). Let k = 25997\/12 - 2163. Calculate the common denominator of k and (-4)\/16 + 65\/m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c. Let f(g) = 11*g**2. Give b(f(n)).\nAnswer: -88*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7940709 centimeters?\nAnswer: 7940.709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*v**2 + 4050 + 495*v + 1\/3*v**3.\nAnswer: (v - 45)**2*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -246.794 + 247. Let r = s - 0.026. Let o = 0.22 + r. What is the second biggest value in -0.3, -1\/3, o, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -729356.188 rounded to the nearest 1000?\nAnswer: -729000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 124 + -148 + 8 + 2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + 3*c**2 - 5. Let i(o) be the second derivative of o**5\/4 - o**4\/2 + 11*o**2\/2 + 44*o. Let k = -949 - -945. Calculate k*i(q) - 9*h(q).\nAnswer: -2*q**3 - 3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 7*l**2 - 7*l - 8. Let z be f(-6). Calculate the common denominator of ((-57)\/6)\/(3\/z) and -32\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 10 = -4*r, 183*f + 15 = 180*f + r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m + 2. Let b be y(4). Let j = b + 51. Let r = -10 + j. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 621683795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 7*a**2 - 30*a + 74. Give z(6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.0844\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (48*31\/248)\/(6\/(-16))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -958575681*q**2 + 692492921 wrt q?\nAnswer: -1917151362*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -135, -229, -361?\n\"Answer: -19*g**2 + g - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -512041542 - -294060963. Let t = j + 217980712.999923. Let d = t - 134. What is d rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172 divided by -1172?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.5 - 12. Let k be (16\/(-10))\/((-12)\/30). Let n = 102 - 101.8. Sort n, b, k in descending order.\nAnswer: k, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -421 - -441.3. Let v = q - 1.3. Are v and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -65 (c) -38 (d) 2\/35 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1621 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145.804 + -165.81. Let n = s - -0.006. Let u = -20.000014 - n. What is u rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 2*z**2 - 6*z + 5. Let k be f(3). Let u = k - -5. Let n(y) = y**3 + y**2 + y - 5. Let b be n(0). Put u, 0, b in increasing order.\nAnswer: b, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 185*a**3 + 917*a + 91*a**3 + 93*a**3 to the form y*a**2 + n*a + q*a**3 + i and give n.\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 156027702 divided by 3\nAnswer: 52009234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**7\/105 - a**6\/25 - a**5\/25 + 20*a. Determine b so that f(b) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9806944 or 9806943?\nAnswer: 9806944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*3*2071*(-174)\/3306?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6035 - -4?\nAnswer: 6039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22428, 44862, 67294, 89724, 112152, 134578, 157002?\nAnswer: 179424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 390\/7 + -56. Let x = -0.1 + 0.6. Which is the biggest value? (a) 0.2 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -9. Suppose -3*i - 2 = -k. Suppose i + 6 = 5*t. Solve 4*l - 3*l = -t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -66. Let y = 14 - m. Let k = y - -18.6. Which is the closest to 2\/5? (a) k (b) -0.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**7*p))**(-6\/5)\/(p\/p**(-2\/11)*p**13) assuming p is positive.\nAnswer: p**(-318\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556 + 17*b**3 - 569 + 1125 + 23*b**3.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 323010 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u - 60. Suppose 2*f = 4*p - 7 - 13, -u = -3*p - 3*f. Solve -h - 9 = -5*y, 4*y - 7*y = p*h - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*1*sqrt(68) + (sqrt(68) - (sqrt(68) - ((sqrt(68)*-2 - sqrt(68))**2 + sqrt(68)))) + 3)*-2.\nAnswer: 80*sqrt(17) + 4920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106212?\nAnswer: 2, 3, 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.5, -1, 0.129209, -0.2?\nAnswer: 0.129209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-15)\/6)*(-81)\/378.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -33, -2, -5, 7 in decreasing order.\nAnswer: 39, 7, -2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5016 - -5135. Solve 0 = -17*j + c - 85 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/26)*a)\/a)\/a)\/(a\/a**32) assuming a is positive.\nAnswer: a**(781\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 27986596.\nAnswer: 27986596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than 463.27?\nAnswer: 447.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1595851, 3191808, 4787765, 6383722, 7979679?\n\"Answer: 1595957*g - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = 56. Solve -2*l + 5*t = 2*l - 26, 2*l = 2*t + n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 10413 - 20801 + 10388.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 172811815 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658881 is divided by 720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/28*(-10)\/1. Put 1, -4, 0, g in descending order.\nAnswer: 1, 0, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-1)\/((-3)\/6). Let w(u) = -10*u - 100. Let c be w(-11). Solve -5*m - 2*n = 18, x*m + 2*n = 3*m - c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 58*t**2 + 1522*t - 44111. Determine s(29).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3438 and 5\/12606.\nAnswer: 37818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-136)\/10 - (-10)\/(-175)*7. Let o(t) = t**2 + 8*t + 26. What is the tens digit of o(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = l - 4, 0 = -2*z + 2*l + 8. Suppose -10 - 10 = 4*p, -152 = -3*i - 2*p. Suppose -f - i = -z*f. Solve 5*q + 0 = -3*n + 5, -q - 4*n = -f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5590 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1758 and 100?\nAnswer: 87900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(68) + 2*sqrt(68) + sqrt(68))*-2)\/sqrt(4) - (sqrt(306)\/sqrt(2) + sqrt(85)\/sqrt(5)*3))*1)**2.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/87094 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1961 and 1112788?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182300.\nAnswer: 2, 5, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -571.391 + 519.14. Let u = z + 0.251. What is the third smallest value in 2\/3, 0, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001076 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**3 + 932*u**2 - 43964*u + 588700 = 0?\nAnswer: 29, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqx when three letters picked without replacement from qqxxqqq.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*y + 50990 = -601*y - 1345 - 23157 for y.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2050*r**2 + 452*r + 116*r - 1771*r**2 wrt r?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85879 and 6437?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**4\/4 + 2*x**3 - 2*x**2 + 9*x - 2. Let l(b) = 262*b - 10736. Let g be l(41). Determine c(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-284*i**2 - 42*i**2 - 106*i**2 - 2 - 150*i**2)*(-3*i**2 + 3*i**2 - 3*i**2).\nAnswer: 1746*i**4 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:51 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -17051168 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 461756*v\/7 - 923504\/7.\nAnswer: -2*(v - 230876)*(v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16100.038153 + -16100. Let q = -0.0302 + d. Let y = -0.008 + q. Round y to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, e: 1, l: 5, y: 5}. Give prob of picking 1 y, 1 l, and 1 v.\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.099 * 1.05.\nAnswer: 0.10395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10887 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2211354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/3 (b) -105\/8 (c) -0.617 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3\/6 + 3*x**2\/2 + 5*x. What is the units digit of d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.096 - -3.996. Let y = -0.1 - h. Which is smaller: 2\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-3333725\nAnswer: -1000117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n\/(n**(1\/2)\/n*n*n))\/n*n)*n*n)**(21\/5)\/(n**(-2\/15)*n*n**3))\/((n\/(n*n\/n**(-1\/3)*n*n*n)*n**(-4)\/n)\/(n\/n**(1\/4)*n**(-2)*n)) assuming n is positive.\nAnswer: n**(943\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1899977 + -0.19. Round g to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935216 is divided by 155841?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*1)\/(4\/8). Let a = -12.8 + 13. Which is greater: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -420, 1, -5\/6, -434?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7565952 and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1964876083 to the nearest integer?\nAnswer: 44327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d8 - -2?\nAnswer: -1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3136190666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005837843 rounded to six dps?\nAnswer: 0.005838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.5 * -3.93.\nAnswer: -72.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -442521 divided by 5?\nAnswer: -442521\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 8*p + 6*p - 18*p + 4*r = 36, -5*p - 45*r + 117 = -343 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 - 3*p**2 + 0*p**2. Let o(d) = -11*d**2 - 8*d - 8. Let s(l) = 4*l**2 + 3*l + 3. Let h(i) = 3*o(i) + 8*s(i). Determine x(h(k)).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36144401?\nAnswer: 36144401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626377387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m - 2*m)*(2*m + m**2 + 0*m**2 - 2*m**2).\nAnswer: m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-45 + (-3 - 0)). Suppose -4*y - 5*v = -o, 3*y + 2*v - 146 = y. What are the prime factors of y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13328\/75193219 + -69291651789989\/18820411556386. Let a be ((-2)\/68262)\/(8\/(-24)). Let j = a + h. Calculate the common denominator of -41\/20 and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*(-5386)\/(-21544).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**4 + v**2 + 6 + 0*v - v**4 - 9*v + 11*v - 3 as r*v**4 + d*v**3 + u + n*v + a*v**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9.9 (b) 5 (c) 111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/9)\/r*(r*r**(-5\/11)*r)\/r assuming r is positive.\nAnswer: r**(-23\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 + 52\/14. Let g = -1 + q. Let c(v) = 52*v - 1450. Let x be c(28). Solve -x*m = -3*m - 3*k + 9, -5*m - k = -g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2991.38602 rounded to 1 decimal place?\nAnswer: -2991.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 63 = 3*z - 27, -z - 8 = 3*y. Let c(u) be the first derivative of u**3 - 3*u**2\/2 - u + 2. Let q(v) = 16*v**2 - 16*v - 6. Give z*c(n) + 2*q(n).\nAnswer: -n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14 + 9)*8\/(-10). Let n be (-2)\/w + (-7)\/(14\/(-4)). Sort n, 0, 3\/4, -5.\nAnswer: -5, 0, 3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 98*o**2 + 102*o + 96. What are the prime factors of l(-53)?\nAnswer: 2, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20117 is divided by 275.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200120211 + 1011210?\nAnswer: 10201202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovkvkvnokoo. What is prob of sequence kvkv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 2 + (0 + 0 - 2)*(0 + 0 - 3))*(-1 + 0 + 3)*(-3*a - 2*a + 7*a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258837374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**3\/3 - 579*o**2 + 335241*o + 4249. Factor i(k).\nAnswer: (k - 579)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4723686704 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -12*m + 897. Let i = -87 + m. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = 0. Let k(h) = h**3 + h**2 + 16. Let l be k(x). Let p(y) = 2*y**3 - 3*y**2 + 2*y - 2. Let m be p(2). Solve -l = -2*u + m*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 153*q - 1640. Let u be f(10). Let a(l) = -2*l**2 - 18*l + 14. Determine a(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93128446 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50245007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 12 = 2*h - 2*p, 3*h - 26 = -5*p. Let q = 8 - h. Calculate the remainder when 3 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4321 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, d: 1, y: 5, v: 1, p: 3, n: 3}. Give prob of sequence yyv.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189688159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*x + 16 = 1, 0 = -3*g + 3*x + 9. Let j(d) = -2*d + 3. Let f be j(4). Sort f, g, 2 in descending order.\nAnswer: 2, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1349421, -2698845, -4048269?\nAnswer: -5397693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34090*p - 33594*p - 18156 - 11604 = 0 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -122 + 37 + 34 + 41\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 104*b + 72. Let t be r(34). Put 39, t, -5 in descending order.\nAnswer: 39, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24933779677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((27\/12)\/(-3))\/(2\/8). Let j = -14 + 9. Let i = 0 - 0.1. What is the closest to i in j, a, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/5*225\/90. Let f = -136 + 147. Solve -d*g + 5 = f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkckkkckkkkkkkkk. Give prob of sequence kckc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - 18*k**4 + (2*k**2 + k**2 - 2*k**2)*(-k**2 - 2*k**2 + 5*k**2) + (2*k**2 - 5*k**2 + k**2)*(k**2 + 3 - 3) - k**4 - 2*k**4 + k**4.\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -160*z**2 - 9*z - 19. Let t(n) = -158*n**2 - 9*n - 18. Let o(q) = -3*s(q) + 2*t(q). List the prime factors of o(-2).\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + p + 6, 5*x = -5*p. Suppose -3*d - x = 4. Let l = 2 + d. Solve 3*z - z - 10 = l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t - 37*t - 26*t)*(3 + 0 - 5).\nAnswer: 106*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.042 in -1, -4\/43, 1\/2, 7\/3?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**3 - 15 - 2*i**2 - 48*i**3 + 32 - 5*i**3 + 3*i + 31. Let a be t(-8). Round a to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 s, and 1 e when four letters picked without replacement from {w: 3, e: 5, s: 6, p: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*r + 222*r = 1382*r - 130591 - 15229 for r.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82908981 divided by -3070703?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-306856)\/(-14) - 330\/(-462) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*b + 5630*m - 5626*m, 22*m = -5*b - 194 + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 divided by 130?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1233870 and 660.\nAnswer: 2467740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 8*n**2 - 9*n - 6. Let j be y(-7). Let k be (-2 - -1)\/(j\/(-24)). Let p be k - 1 - 24\/(-16). Is 3 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 9 + 7. What is the greatest common divisor of f and 120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/6)\/((6142\/(-444))\/(-83))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 967 is divided by 192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) - (-22)\/6. Suppose 0 = -u*b + 7 + 5. Suppose b = -2*p + 9. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*s**3 - 33162*s**2 - 33423*s**2 + 66585*s**2 - 140*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-42)*3)\/(32\/(-224)). Factor 50*t**4 - 124*t**4 + 2*t**5 + 24*t**3 - 20*t**z + 0*t**5 + 62*t**4 + 6*t.\nAnswer: 2*t*(t - 3)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 12*y**2 - 62*y + 118. Let w be n(-16). Solve -51 = 7*t - w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2, 0 in decreasing order.\nAnswer: 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/8172 and 97\/108.\nAnswer: 24516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*q + 231*q + 155*q**3 + 5*q**2 - 512*q - 5*q**2.\nAnswer: 155*q**3 - 41*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4009*l - 4000*l - 18 = 0. Let 32\/11*s - 82\/11*s**3 + 2\/11*s**l + 8\/11 - 10\/11*s**4 + 50\/11*s**5 = 0. What is s?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*u**5 - 449*u**2.\nAnswer: -1260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*q**2 - 128\/5 - 68\/5*q.\nAnswer: -2*(q + 2)*(q + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32967 - 35401. Which is the nearest to -1? (a) -0.3 (b) k (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 180\/10 - (2 - -5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25212, -50413, -75604, -100785, -125956, -151117?\nAnswer: -176268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 2)*(-1 + 0 + 0) + (-16 - 4 - 40)*(-1 + 1 - 1))*(-2*v**4 - 3*v**4 + 6*v**4) to r*v**2 + q*v**4 + m*v + t*v**3 + j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 2, o: 1, z: 1}. Give prob of sequence oyz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12226 is divided by 94?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w = -11*w - 10*w + 429 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -1402, -4832, -11538, -22612, -39146, -62232, -92962?\nAnswer: -132428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 674965384 greater than 674965384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 + 17*d - 4. Let l be c(-6). Let u be 2 + (-3 - -4) - -1. Let i = l + u. Solve -b + 1 = i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.54, 1\/7, 36, -3?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1042, 4204, 9514, 16996, 26674, 38572?\n\"Answer: 4*t**3 + 1050*t**2 - 16*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/39, -1, 0.1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -217 + 77 - 9 + 11*w. Calculate the remainder when x(21) is divided by 14\/8*12\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115264 = -80*n - 120624 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14126 - 28251 + 14128 - 3515*t**2 - 6092*t**2 to the form x*t**2 + y*t + m and give x.\nAnswer: -9607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.1, -2, -2\/5, -93\/65, -0.04?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.579 - 0.039. Let k = -0.53999946 + n. What is k rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147895 != 1147896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 + 3*j**2 + j - 4. Suppose 2*n - 49 = 5*l, 0 = -4*l + 6*l + n + 25. Let a(c) = 8*c**3 + 8*c**2 + 2*c - 11. Determine l*w(f) + 4*a(f).\nAnswer: -f**3 - f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**4\/12 + v**3\/3 - 3*v**2\/2 + v. Let k(n) be the first derivative of n**2\/2 - n - 19067. Determine -4*k(l) + r(l).\nAnswer: -l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 122, 283, 508, 797, 1150?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/17)\/c**4)\/(((c\/c**(4\/3))\/c)\/(c*c**(2\/5)*c)))**44)**(-1\/38) assuming c is positive.\nAnswer: c**(2156\/4845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31307 is divided by 239.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1376 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9224 - 474?\nAnswer: 8860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12202222 (base 3) in base 2?\nAnswer: -1000001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(14\/9)*t*t)*t**(2\/107)*t)**45)**(3\/13) assuming t is positive.\nAnswer: t**(-36645\/1391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**6\/30 - 5*o**4\/6 - 11*o. Find the third derivative of d(w) wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 3. Is i(9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2198 - 2208 + 4406 + 0*v**2 + 6*v**2 + 6*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 132 + 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 8*g + 33. Let n be o(-19). Let j = n + -228. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3cec (base 15) to base 5\nAnswer: -404142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**3*z + i**3 - 10*i**2*z + 46*i**2 - 394*i*z + 21*i - 1 wrt i?\nAnswer: 60*i*z + 6*i - 20*z + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {a: 3, w: 5, j: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 376025 or 376296?\nAnswer: 376296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 0.041, 0, 0.04?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(52)\/sqrt(4) + (sqrt(78)\/sqrt(2))\/sqrt(3).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993184126 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*l - 77*l + 3*p - 7 = 0, 0 = 3*l + 2*p - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13243 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 297818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 10 - 10 - 32 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -177979, -177941, -177913, -177889, -177863?\n\"Answer: i**3 - 11*i**2 + 64*i - 178033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/153 + (-86)\/18)\/(-9 + 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 22*r**2 - 75*r - 8. Calculate the remainder when d(-18) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(5*k + 12*k**5 - 11*k**5 - 2*k) + 2*k**2 - 2*k**5 - 2*k**2 + 2*k**5 + 3*k - 3*k + (3*k - 6*k + 2*k)*(-4*k**4 + 3*k**4 + 0*k**4).\nAnswer: 2*k**5 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2756*b - 929*b - 900*b - 926*b - 7 - 1. Suppose -2*s + 3*a + 0*a - 15 = 0, 15 = -4*s + 3*a. Suppose -3*h = 5*x - 28, -2*x + s - 2 = -h. Give c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(((y\/(y**(-2\/31)\/y*y*y))\/y)\/y)\/y)\/y)\/y**(-14)*(y**(2\/5))**(23\/4) assuming y is positive.\nAnswer: y**(4143\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 108*g - 4952. Give m(46).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + k)*(-1 - 2*k + 1 + (-1 + 1 - 2)*(-3*k + 2*k + 3*k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = a + 11, k - 5 = -2*a - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-5)\/(-3) + 12\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363 is divided by 60.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10 (b) 28 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.981 + -9.234. What is n rounded to 1 decimal place?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1.02, 4, -3\/13?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.52074003 to 1 decimal place.\nAnswer: 28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 110*h - 56. Calculate d(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Let g = f - 1. Suppose 3*p + 0 - 9 = 0. Solve p*v = g, -2*v + 3 = -c + v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 898\/9 - 100. What is the nearest to -1\/4 in 3, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 197?\nAnswer: -1379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221 - -578. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87821 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -18564.38 * 28\nAnswer: -519802.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 3*l + 12 = -3*b, 3*b = 3*l + 6. Let a = 29 - 26. Solve -b*u + 6*u - a = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/(-20)*4\/((-160)\/(-14))*(-72)\/(-9)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*t**2 + 3*t**3 - 217*t**2 + 6*t**2 + 5*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/63, -0.2, 0.3, -3?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14420046 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 174973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 5. Let h be (-2 + b)*6\/(-9). Let w(o) = -o - 1. Let v be w(-3). Is v at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + b + 9 = 0, 0 = i - 2*i - 3*b + 5. Suppose -5*s = 3*n - 367, -15 = -5*s + i*s. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 2*s**3 + 4*s**4 - 2*s**3 - 12 - s in the form n + x*s**4 + t*s**2 + j*s**3 + g*s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 11*d**2 - 14*d + 10. Let b = 672 + -684. What is z(b)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b**2 + 13*b + 13. Let p(k) = 2*k**2 + 3*k + 3. Let q(m) = 26*p(m) - 6*t(m). Let d(r) = 86*r + 88*r + 6*r**2 - 174*r. Give q(d(o)).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Let u = -6 - -10. Which is the second smallest value? (a) -0.4 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-246)\/4*224\/(-168)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s**2 + s + 2. Let m be -3*((-24)\/9 + 2). Let n(q) = 1. Let b(j) = m*n(j) - r(j). Is b(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31*t + 42*t - 15*t - 18*t)*(-2 + 2 - t**3) in the form w + i*t**4 + d*t**2 + k*t + a*t**3 and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -5*f**3\/6 - 13*f. Let u(g) = 7*g**2. What is u(s(o))?\nAnswer: 175*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o = -2416. Suppose 28*l = -200 + o. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/4))**(-43)*(d**1)**(-2\/51))**(-16) assuming d is positive.\nAnswer: d**(26348\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 15 = -3. Suppose 4*j = 2*m, -3*j + 4*j = -2*m. Suppose -3*s + 0*q = q - 4, -s + 3*q + 18 = m. Solve -15 = -s*x + a*p, x + 0*p - 5 = -p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3146, 12560, 28256, 50240, 78518, 113096?\nAnswer: 153980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175735 (base 9) to base 3.\nAnswer: -12112211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 + 159. Suppose -m = z - s, m + 45 = z - 0*m. Suppose -4*w - q + 73 = -0*w, -5*w + 75 = -2*q. What is the remainder when z is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)*v**(1\/5)*v*((v*v**(3\/4))\/v)\/(v\/((v**7\/v)\/v)) assuming v is positive.\nAnswer: v**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15600 and 26689?\nAnswer: 32026800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b12c6 (base 14) in base 8?\nAnswer: 1477636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 508 - 312 = -2*d, d = 4*m - 656. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Let g(v) be the first derivative of v**4 + 40*v + 25. Let o(d) be the first derivative of g(d). Determine u(o(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1794?\nAnswer: -7176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) -120669\/7 (c) -0.07 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 863*n**2 + 24110*n + 2190. Calculate z(29).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 965 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 36*o**2 - 32*o + 22. Is v(35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.11 (b) -4 (c) -1\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41.0436, -0.4, -117?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9240384173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -4*u + 2*i, 4 + 80 = u - 4*i. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -43*o - 612. What is k(-22)?\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w + 18 = 3*f, -5*w - 35 = -5*f. Suppose -4*z = z + f. What is the units digit of (-1 + 0)*(z - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236907 divided by 6\nAnswer: 78969\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}