diff --git "a/data/dm_maths/full_data_1/1512_11255.jsonl" "b/data/dm_maths/full_data_1/1512_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1512_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y(a) = -a + 51. Determine y(24).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 9\/4*s**4 + 2*s**3 + 0*s + 0*s**2 - 3*s**5 - 2. Find b, given that k(b) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63*(-52)\/(-1274)*21\/(-9))\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*i - 16 = 0, -3*s = 343*i - 345*i - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16854, -15587, -14320, -13053, -11786, -10519?\n\"Answer: 1267*s - 18121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -160*g**5\/9 - 176*g**4\/9 + 82*g**3\/3 - 80*g**2\/9 + 8*g\/9 = 0. Calculate g.\nAnswer: -2, 0, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -68*o**2 + 721*o - 436. Give l(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000269 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w - 130. Let x(t) = 59*t + 6. Let n be x(2). Let f = w + n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g. Let q(d) = 3*d. Let b(m) = -3*q(m) + 5*x(m). Let w be b(-5). Put -2, -1, w in descending order.\nAnswer: -1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2, 141, -3\/4, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24687.0004933 - -24687. What is m rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2)*(-1)\/1*-2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/5)*l**(1\/10)*l**(1\/2)\/l**(2\/11) assuming l is positive.\nAnswer: l**(34\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518683 is divided by 3782.\nAnswer: 3653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/5*b**2 + 1\/5*b + 2\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4209463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -37) + (114*6\/(-36) - -77)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498106201 to the power of 1\/3, to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1364 divided by 2\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/20 + k**4\/8 + 11*k**2. Solve v(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 35 = k. Let v = 6 + k. Let d(h) = 4*h. Calculate d(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 160188 = -4*r - 160092, 0 = -5*k - 2*r + 40 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u + 8. Let r be d(0). Let k(x) = x**3 - 7*x**2 - 8*x + 1. Let l be k(r). Suppose 5*p - 4 = 4*p. Which is the nearest to 2? (a) 0.4 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 4. Let m(d) = 5*d**2 + d - 17. Suppose 0 = -2*b - 16 - 2. Determine b*o(u) - 2*m(u).\nAnswer: -u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = 0, -3 = -5*n - d + 14. Suppose -r = -n*r. Suppose 5*a - 25 = -r. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7467.968 + 7438. Let j = p - 0.032. Let w = -29.99999962 - j. What is w rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 15356890*f - 11791703523605.\nAnswer: -5*(f + 1535689)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1752*c. Let l(g) = -4*g**2 + 162*g. Calculate l(z(x)).\nAnswer: -12278016*x**2 - 283824*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 784 + 0.08.\nAnswer: 784.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.124 - -0.106. What is y rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-10))\/(6\/(-135))*(-3)\/(-36)*6?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/(-243)*33\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10942 at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Suppose -5*p + 24 = 3*r, -5*r + 4*r = -3. Suppose -p*d = -d - 14. Solve d*i = l*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 12) to base 3\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from yiyvvvyy.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - l + 5. Suppose -2*j + 2 = 5*x - 0*j, x - j + 1 = 0. Let h be v(x). Let o be (0\/(-2))\/(-1 + 3). Solve -h*y - 2 - 13 = o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 68 = 51*h. Let u = 2.97 - -0.03. What is the closest to -3 in u, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -3, 47, 137, 279, 485, 767?\n\"Answer: 2*f**3 + 2*f**2 + 2*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603768 is divided by 50314?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 2\/3, -2\/5, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by ((-300)\/45)\/(4\/(-72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14*(-220)\/(-880).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 7. What is the greatest common divisor of o and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1093, -1815, -3041, -4789, -7077, -9923?\n\"Answer: -3*y**3 - 234*y**2 + y - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 8444634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/19546029?\nAnswer: -2\/19546029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7520 in 2\/9, -14, -2\/161?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose 2*z = -f*z + 2. Is z bigger than -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*t = -3*g + 8, 6 = 3*g + t. Suppose -a + 5 + 11 = -4*v, -g*v = -4*a + 8. Solve a = -3*y + 5*y + 4, 2 = 3*h - 4*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 203352689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -274*o**3 - 8*o**2 + 275*o**3 - 10*o - 9*o**2 - 96 - 2*o**2. Does 64 divide b(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 627 + -627.1. Let n = o + 0.08. Which is the closest to 2\/3? (a) n (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 8:50 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/3 + 4254*b**3 + 6951106*b**2 + 1568750558*b\/3.\nAnswer: 2*b*(b + 79)*(b + 3151)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -4*h - 2. Let i = h - -17. Solve -i*c = 6 + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5679.\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -532 - -737. Let w(g) = 3*g**3 - 2*g**2 - 5*g + 4. What is the remainder when t is divided by w(3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1775 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/30 + s**5\/60 + s**4\/12 + s**3\/6 + s**2. Let m be t(-1). Let a be -3 + 2 + (-1)\/m. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 9\/((-15)\/(-5)). Suppose -n*a + 50 = -10. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*j**4 + 9*j**4 + 8*j**4 - 2*j**2 + 0*j**4 + 14 to v*j + q*j**3 + r*j**4 + c + k*j**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 434*x + 5474. Give n(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 2.3. Let p = 596.3 + -596. What is the third smallest value in 5, r, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528985 divided by -105797?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -39. Let c(a) = a**3 + 8*a**2 - 7*a + 18. Let n be c(x). Suppose -4*m + 432 = 5*k - n*k, 2*k - 214 = -2*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 23, -0.1, -3 in increasing order.\nAnswer: -3, -0.1, -0.02, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 20 = -6*g. Suppose -2*x - 2*p = -9 - 11, -g*x - p = -55. Let v(s) = 143 - 143 + x*s**2. Let k(y) = 4*y. Determine k(v(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49242102 and -4.\nAnswer: -49242106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10849 is divided by 1225?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18f + -2b0ba?\nAnswer: -2af2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joj when three letters picked without replacement from {r: 5, o: 1, j: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29746207 is divided by 2027?\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52499\/60 + 875. Let g(c) be the third derivative of 0*c**3 + 0*c + f*c**5 + 2*c**2 + 0 + 5\/24*c**4. What is the second derivative of g(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*y = 88, 4*y - 1 = -9. Solve 5*c = -3*w, 4*w + c + t = 3*c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18826527.\nAnswer: 3, 6275509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/284*71 - (-2 - (-1 - -119))?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-189) - 380\/(-105)*98\/588?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10898, 11123, 11348, 11573?\nAnswer: 11798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 271069597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**3 + 1092*b - 1092*b - 2*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(24)*-5)\/(-2*-5*sqrt(8)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 13. Let y be w(-12). Suppose 3*u = y + 2584. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**5\/40 + 133*f**4\/8 + 3300*f**3 - 10000*f**2 - 366*f + 3. Factor m(w).\nAnswer: (w - 1)*(w + 200)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w + 4. Let m be k(4). Let p(i) = i**2 + 18*i - 88. Let j be p(-22). Solve -4*q + 3*s + 12 = 0, -m = 4*s - j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12480467 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-147)\/(-12))\/(1\/(-4)). Let j = -23 + w. What is the units digit of 69\/(-1)*(-3)\/j*14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*b**3*l**3*n**2*z**2 + 5*b**3*l**2*z**2 + b**3*n**2*z + b**3*n - 54*b*l*n**2*z**3 + l**3*n*z**3 - l**2*z**3 wrt l?\nAnswer: -138*b**3*n**2*z**2 + 6*n*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 41 + (1 - (-2 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5)*(100\/15)\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - 2161036?\nAnswer: -2160665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -31*q**5\/60 - 76*q**3\/3 + 10*q. Let f(b) be the second derivative of h(b). Let v(n) = 2*n. What is f(v(s))?\nAnswer: -124*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/5)\/(90\/(-90))*(-22)\/20?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*y + 2*l - 1, -4 = -5*y - 2*l. Suppose 0 = -0*n - y*n - 2. List the prime factors of (n - -3) + 1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 7*m + 7. Suppose -3*s - 10 = x, 0 = -x + 6*x - s - 30. What is the tens digit of o(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grkghuururuuguukuug. Give prob of sequence ugug.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 3*u**4\/4 - 271*u**3\/3 - 71*u**2\/2 + 9*u + 5305. What is the second derivative of t(y) wrt y?\nAnswer: 18*y - 542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(1\/(-4)). Let w be (-8)\/4 + (-18)\/(v - 1). Solve -w*h = -3*b + b - 12, -5*b = 2*h + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 - -84. Let n be (x - (1 - (2 + -4))) + 10. Let y be (3\/1)\/(-1 - -2). Solve -y*g - 4 = -n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a factor of 2564408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/36 and 121\/45 - (-1 + (-34)\/(-30))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*w - 2*q, q - 2*q = 0. Suppose -2*k + w*k + 132 = 4*x, 2*x - 66 = k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/15 - z**4\/4 - z**3 + 112*z**2. Let c be s(-1). Solve c*r + 20 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2397 (b) -0.2 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 5*a - 3*m, 2*a - 97*m + 92*m = 80. Calculate the least common multiple of a and 140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.86057ml in litres?\nAnswer: 0.02886057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 8*d + 8. Is l(-7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*j - 84 = 7*n, -139 = 5*n + 2*j - 65 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 3*y**2 - 5*y - 4. Let d be h(-4). Suppose -3*i + 3 + 0 = 4*w, d = -i - 3. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12*z. Let d be (3\/(-2))\/(2\/(-4)). Let l be k(d). Let f = 51 - l. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 0, 6, 3 in decreasing order.\nAnswer: 6, 3, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (20 + -17 - (2 - -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1060300883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -1, 11, 4 in decreasing order.\nAnswer: 11, 7, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -1512026.\nAnswer: 13\/1512026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28392, 28395, 28398, 28401, 28404, 28407?\nAnswer: 28410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 22. Let b be c(14). Let z be 30\/(-20)*b\/(-3). Let x be (7\/2 + z)*-10. Solve 4*g - 12 = -y, 2*y = 3*y - x*g + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7350 by -6.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41690.\nAnswer: 2, 5, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**2 - 47*r - 9. Let d(c) = 15*c**2 - 95*c - 19. Let k(j) = 6*d(j) - 13*q(j). Let h be k(41). Solve h*m = -6, 12 + 8 = -3*s - 4*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121183 or -121065?\nAnswer: -121183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4716 and 50493426?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -352838 + a?\nAnswer: -352829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d - 7*d = -3584. Is 48 a factor of (-270)\/(0 + -1)*64\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155975251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/678 and 47\/15518166.\nAnswer: 1753552758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13668 = -82*r + 87*r, 5*r - 3*y - 13656 = 0. Which is bigger: r or 2732?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 49*f**2 + 8*f + 390. Give i(-49).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -0.31?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 63*v**2 + 270*v - 4669. Calculate i(29).\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.03 + -0.03. Let n = -953 + 952.6. Which is the nearest to f? (a) 2\/5 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 20 - f**2 + f**2 - 18 + 2*f**3. Let c(k) = -3*k. Give c(w(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:08 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b - 1. Let q(s) = 8*s + 1. Suppose 2*w - 5*w = -18. Let y(l) = w*q(l) + 7*o(l). Let v(t) = -2 + 5*t + 4 + 2. Calculate v(x) + 4*y(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5768, 2\/5, 7, 3 in decreasing order.\nAnswer: 7, 3, 2, 2\/5, -5768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -34. Let n(z) = 7. Let j(x) = -a(x) - 5*n(x). Let w(d) = 2*d - 6. Let s = 6 - 3. Suppose -1 - s = 4*q. Determine q*w(b) + 4*j(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 21*q + 2*k + 108, -3*q + 3*k + 75 = 0. Calculate the remainder when 34770 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 10. Suppose 2*f = 5*f + 5*l - 194, 5*f - 316 = -l. What is the greatest common factor of b and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11021005809 from 1.3.\nAnswer: 11021005810.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) 0.1 (c) 2\/65 (d) 2498\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23 - -25)\/(8\/36). Solve -3*y - f + 21 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5966 + 2778. Let p be (s\/6)\/(5\/(-105)). Suppose 7*n = -2807 + p. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.12 - -7. Let i = z - -5.12. What is the second biggest value in 2\/7, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -247447.\nAnswer: -20\/247447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85877120*p**3 - 504092*p + 212 wrt p?\nAnswer: -515262720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -302*d*w**3 + 4*d*w**2 + 2*d*w - 35*d - 2*w**2 - 21 wrt w.\nAnswer: -1812*d*w + 8*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 990635631?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 67 in descending order.\nAnswer: 67, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 3. Let n be r(7). Let o = 0 - 1. Put 3, n, o in increasing order.\nAnswer: o, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 16 - 1 = 0. Let d = 55 + -36. Suppose -16 - d = -b*m. What is the highest common divisor of 49 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.10012 - -0.1.\nAnswer: 0.20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8497 + 8503. Let m(n) = -n**2 + 45. Determine m(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*h - 348 = 0, -n + 174 = 3*h + 2*h. Suppose -5*v = -x + 4*x - n, 0 = x + v - 56. List the prime factors of x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 0 = -0. Suppose 2*d + 2*p - 15 = -p, 4*d + 5*p - 27 = i. Calculate the remainder when 3 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143309745?\nAnswer: 3, 5, 17, 31, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**2 - t**2 - 2147*t - 1 - 12*t**2.\nAnswer: 3*t**2 - 2147*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -0.1 (b) 7180 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83273031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Work out -43.8 * 6770.\nAnswer: -296526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -954731 and 404.\nAnswer: -954327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 - -310. Is u a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87033 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 40*b**3 - 2*b**2 + b. Let v be c(-2). Let g be v\/7 - 1\/(-7). Let r = 68 + g. What is the highest common factor of r and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*u - 72*u - 880. Differentiate 12*o**3 + 9*o + u - 11*o - 2*o with respect to o.\nAnswer: 36*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/3, 0.091, 13?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -594\/7, 0.5, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, -594\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 9.293697 days?\nAnswer: 1.327671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -2*f**5\/5 - 8*f**4 + 152*f**3\/3 - 80*f**2 + 5476. Solve c(h) = 0 for h.\nAnswer: -20, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -370.48 to 0 decimal places.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 152b (base 12) to base 15\nAnswer: b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.65528588 + 1.\nAnswer: 2.65528588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 584 - 568. Suppose -s = -3*s. Suppose s = -5*x + 4*l + 481, -97 = -2*x - 3*l + 77. Calculate the remainder when x is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 10956924.\nAnswer: 10956924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 279*p**4 + 988*p.\nAnswer: 3348*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v + 205. What is w(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-4)\/(-3))\/4)\/(6\/72). Let c(l) = 1 - l**3 - 1 - 2*l + 7*l**2 + 4 - m*l. Suppose 0 = 4*s - 5 - 19. Determine c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361 + (1 - (6 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23971922509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 332*h**3 - 2*h**2 + 2*h - 14. Let m(x) = -332*x**3 + 3*x**2 - 4*x + 17. Determine -2*m(b) - 3*t(b).\nAnswer: -332*b**3 + 2*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let z(l) = 2*l + 208. Give z(u(s)).\nAnswer: -2*s + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.9937 kilograms in grams?\nAnswer: 47993.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 1774439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**4\/12 - r. Let f(o) be the first derivative of -4*o**3\/3 - 20. Determine f(w(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -1 + (0 - 1). Let r = 0.16 - 0.16. Which is the closest to r? (a) 2\/7 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52\/23 or 21\/4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -21576150?\nAnswer: 21576146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*l - 7. Suppose 23 = 2*u - 10*f + l*f, -4*u + 5*f = -41. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 196287*i**2 - 39*i + 1830 wrt i?\nAnswer: 392574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -85*u + 4. Let m(y) = -90*y + 6. Determine -5*m(h) + 6*p(h).\nAnswer: -60*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 0*p**2 - 5*p**2 + 6*p + p**2 - 3 + 3*p**2. Let d be c(4). Solve d*i = -4 - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6144?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -242052 (base 8) in base 5?\nAnswer: -10123421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-279)\/(-3)*(-1)\/3. Let x = u + 33. Solve -4*o + 1 = 3*i, 2*o - 7*o = 4*i - x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 5*t**2 - 6*t. Suppose 4*d - 14 = 10. Let q be p(d). Suppose q*l + 10 = 5*l. What is l rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -45*h**2. Let i(f) = -5*f + 10. Let v(x) = x**2 + x - 2. Let t(k) = -i(k) - 5*v(k). Calculate 6*l(c) - 55*t(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-85)\/(-10))\/(5\/10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 - 25*o + 14. Let d be v(-22). List the prime factors of (4\/(-6))\/(2 + d\/201).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) + (-6)\/(-9). Let h be 0 - (1 + 3 - 1). Sort n, h, -4 in descending order.\nAnswer: n, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-135)\/5 + (-1 - 0). Is 353*5 - (-3)\/((-21)\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257960.18 rounded to the nearest 100?\nAnswer: -258000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away -12665120261097?\nAnswer: 12665120261097.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + -1.96. Let g = -2\/949 + 1912\/6643. Put r, g, -4 in decreasing order.\nAnswer: g, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -25*b + 1. Is v(-7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -32.981. Round p to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 124*l - 710 - 178 - 848 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.0656 take away 5214?\nAnswer: -5195.9344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1055*k**3 - 6*k**2 - 10*k - 2503. Let p(g) = -2113*g**3 + 13*g**2 + 22*g + 5005. Let o(m) = 11*i(m) + 5*p(m). What is the derivative of o(f) wrt f?\nAnswer: 3120*f**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -5, -4, -22\/369, 0.5 in decreasing order.\nAnswer: 0.5, 4\/9, -22\/369, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103747 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4785529?\nAnswer: 7, 53, 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 335385 and 113535.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23820340 is divided by 11740.\nAnswer: 11620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-3) - (-4)\/(-2). Suppose 0 = -4*h + c, -w - h = -5*h + 10. Let n(l) = -l**3 - l + 2*l + 410*l**2 - 4 - 405*l**w. Determine n(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q*q*q**(-1\/3)\/q*q)\/q))\/((q**(4\/9)*q)\/q) assuming q is positive.\nAnswer: q**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24\/11179 (b) 47 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8\/3. Is 0.5 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c79927 - 1?\nAnswer: 7c79926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - s + 0 - 1 + (-4 + 1 + 0)*(-5 + 5 + 2*s) + s - s + 2*s - s - s + 0*s.\nAnswer: -7*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6146 + 3076 + 3064 + h**3 + 4*h**2 - 6*h + 0*h**3. Determine w(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/2 - (-24)\/(-14). Let n = -2066 - -2069. Let d = -1\/128 - -137\/1152. What is the biggest value in q, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5852959 > -5852959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 2. Suppose -8 = 4*i - 2*i - 2*h, -3*h = 4*i - 19. Let b be z(i). Is b greater than 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 400*k**2 - 23854*k + 5594. Calculate z(-327).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 48. What is the second derivative of -7*j - w*j**2 - 4*j + 122 + 11*j - 2*j wrt j?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)\/(1\/3). Let m be 8\/(-6) + d\/9. Which is the second biggest value? (a) m (b) 0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*j**4 - 355*j**3 - 175*j**2.\nAnswer: -5*j**2*(j + 35)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -18 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*s**3 - 588*s**2 + 1118*s.\nAnswer: 102*s - 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x**3 + x + 6. What is p(-2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 192616.\nAnswer: 1\/48154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in -1\/8, -0.1, 0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 7}. Give prob of picking 2 c and 1 l.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from knmmk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/30)\/(36\/(-30)) - 304\/(-1044).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 651 + (-10 - -13) - 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + c - 4*c)*(-5*c + c + 2*c) + c**2 - 3*c**2 + 3*c**2 - 9*c**2 + 61 - 61 to o*c + r + z*c**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1780, -3611, -5448, -7297, -9164, -11055?\nAnswer: -12976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 561, 4199, 14089, 33363, 65153?\n\"Answer: 522*s**3 - 6*s**2 + 2*s + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*j = -267, 10*v + 6*j - 364 - 109 + 103 = 56 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 0) + (-10 - 56). Let l = -34 - t. What is the highest common factor of 319 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.14 - -1.06. Let c = n + -2.6. What is the biggest value in c, 1\/6, 3, -1\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 134560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-12 - (-3 - 10)) + -3 + 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d + 17. Let j be l(-6). Suppose 43*x = j*x. Solve x = 4*p + y - 3*y + 12, -2*y = 5*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 774424 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629 = -3*f + 668 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -b52221 (base 13) to base 10\nAnswer: -4231787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5420525 + 115?\nAnswer: -5420410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 + a - 7. Let q(s) = -s**2 + 1. Suppose -4*c + 3*c = -4. Let v(m) = c*q(m) + w(m). What is the units digit of v(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*t**2 - 72*t.\nAnswer: 4*t*(7*t - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2856187847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-3))\/(-10))\/((-5)\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 31*u + 8. Let f be z(0). Let i(c) = 2*c - 18. Determine i(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j + 32. Determine k(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -214.0483669 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 219409487.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:11 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(40\/645))\/((-2)\/(-4)). Let o = y - -905\/7. Let x = -8 - -7.7. Put x, -6, o in descending order.\nAnswer: o, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvv when three letters picked without replacement from hvvvvvvvvvvh.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = -4 + 4. Suppose w = 5*l - 44 - 16. What is the greatest common divisor of l and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.8. Let h = 98.038 + -98. Let w = -0.262 - h. Which is the third smallest value? (a) 1\/2 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294142923 is divided by 14974.\nAnswer: 14973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 3. Let l be (-1)\/h + (-48)\/(-10). What is the second derivative of 2*m - 9*m**5 - m + 7*m**l wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 2) to base 16\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18181168?\nAnswer: 2, 331, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 35 - -1) + -462 + 455.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811501.\nAnswer: 811501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - 1) + -15 + (-56 - -61).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = 0, -2*z - u + 2*u + 43 = 0. Calculate the highest common factor of 220 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58714855 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 2385045*k**2 + 474090296625*k + 21329233905375.\nAnswer: 3*(k + 45)*(k + 397485)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w + 0*w)*(5 - 5 + 1)*(2 - 4 - 3).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrwwwwwwwwww. What is prob of picking 2 w and 1 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122071 = -35*l + 20*l + 22634. Calculate the highest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/42 - (-2563)\/231 - (-1 - -18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * -0.02.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(43\/((-2666)\/62))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11825827 to the power of 1\/2, to the nearest integer?\nAnswer: 3439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 + 75*r**2 + 39*r**2 + 2*r**2 - 2*r - 2*r**4 + 2*r**3 - 1 as k*r + f + t*r**2 + d*r**3 + m*r**4 and give t.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = i - 6, -5*x - 3*i - 14 = 0. Let u = 1.1 + -1. Let z = -0.88 + 1.28. Which is the closest to u? (a) z (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006753 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = l + 8, 5 = -j. Sort 5, -4, l, 2 in descending order.\nAnswer: 5, 2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 311.68 + 94.32. Is -3 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22 - 0)*(-47)\/94. Let y(f) = f**2 - 28. Calculate the remainder when y(o) is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 97*g + 1748. What is l(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 19*o + 10. Give r(14).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -319 times -3.1?\nAnswer: 988.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -11319 and 0.4464 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26728 - -40300. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -199 divided by -1\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**2 + 3*i**2 + 2*i**2)*(i - 3*i + i) + (3*i - 2*i + 0*i)*(5*i**2 + 0*i**2 - i**2).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 19*t - 12. Give z(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g - 6. Let a(r) be the first derivative of -2 + 3*r + 0 - 2*r - r**g. What is the derivative of a(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {u: 6, m: 1, z: 1, y: 1, e: 1, a: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*i**4 + 32419*i**2 + 39614*i + 7.\nAnswer: 156*i**2 + 64838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.78 - -0.18. Let s = -0.4 + o. Let n(j) = -j**2 - 15*j - 43. Let t be n(-4). Which is the closest to -0.1? (a) -2 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245402, 494290, 743172, 992042, 1240894, 1489722, 1738520, 1987282?\nAnswer: 2236002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/2, -5003, 11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.21, 2\/3, 1, 4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 19 = -3*t + 1, 17 = 4*p - 5*t. Suppose l = 4*l. Suppose 0 = -2*j - l*j - p*v + 85, -220 = -5*j - 5*v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -63. Solve -4*j + a = 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by -25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 290 + 5)*(-71*r + 65*r - 163*r - 48*r) to w*r + c and give w.\nAnswer: 61845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-6 - (7 - 10 - (-5 - 0)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from nvyyyyvvtvvonvtnv.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 56*i + 3. Let k be b(4). Suppose 2*w - 46 - 54 = 2*s, 0 = -4*w - 5*s + k. What is the remainder when w is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184693179?\nAnswer: 3, 11, 127, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*x + 19, -2*p - 2*p + 33 = 5*x. Suppose 0 + 98 = h - x*r, r = 2. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 1172 - 1181. Solve n*h - 10 = -c, 2*c + 4*h - h = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 42*p + 349 = -366. Solve 7 = 4*j - p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*y, -3*s = y - 0*y - 13. Solve h + 11 = s*u - 4*h, -5*h = u + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 4, q: 1, y: 2, t: 6, k: 1}. What is prob of picking 3 t and 1 h?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0500348? (a) -3\/5 (b) 5 (c) 2\/7 (d) 2 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322662 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2 + m - 1 + 3. Let k(h) = 3*h - h + 0*h. Calculate k(q(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 4. Let h(r) = -2*r**2 - 12*r - 24. Let z(u) = -h(u) - 6*p(u). Let o(k) = 2966*k. Calculate o(z(s)).\nAnswer: 5932*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 2. Let t be m(-2). Let w = 19 + t. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 - 133. Let b(a) = a**2 + a + 1. Let s(d) = 6*d**2 + 2*d + 4. Calculate f*s(r) + 3*b(r).\nAnswer: -3*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 2\/5, 212\/5, 0.5, 56?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/276)\/(6\/(-138)). Which is the third smallest value? (a) -8 (b) -12\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 9. Suppose -3*q = -2*q - 3. Suppose -7*x = -q*x. What is the units digit of z(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171552, -171602, -171686, -171804, -171956, -172142, -172362?\nAnswer: -172616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -152751, 4, -2, -1, 5, 2, -3 in decreasing order.\nAnswer: 5, 4, 2, -1, -2, -3, -152751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*q + i + 3, 3*i + 10 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*3 - sqrt(5)*-2*-1 - (-2*(1*sqrt(320) + sqrt(320) + 5))**2.\nAnswer: -5220 - 639*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4367 - 4367.2. Which is the fourth smallest value? (a) k (b) -4 (c) 4 (d) 40\/9 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1896, -15764, -53418, -126750, -247652, -428016, -679734?\nAnswer: -1014698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 14, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11147 - -2925. Let m = j - -8222.10002. Let l = 0.1 - m. Round l to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15.6, -6200, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r - 64 + 64 - 27*r - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212033 (base 4) in base 9?\nAnswer: 22182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061724?\nAnswer: 2, 3, 103, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2) + (-2)\/(-4). Suppose -27 = -b - 4*m + 3, g*b = -4*m + 64. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from afaaxdaabaapxfp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 3. Let d(x) = -2*x + 5 + 15*x - 10*x. Let s(j) = 3*d(j) + 5*p(j). Let o(k) = -2*k**3 + 4*k. Calculate -o(m) - 5*s(m).\nAnswer: 2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103\/261 + -5\/29. Which is the closest to 1.6? (a) 1\/4 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10407979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/14*(-1 + 0). Suppose 2*s - 150 = -i*s. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 477260496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 15. What is the remainder when -2 + (-75)\/(-40) - (-195)\/24 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -0.08 (c) -19 (d) 7\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8281598, -8281593, -8281588, -8281583, -8281578?\nAnswer: -8281573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28395.0019 - -28393. Let n = -0.4 + 2.4. Let h = z + n. What is h rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.8, -233 in decreasing order.\nAnswer: 5, -0.8, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -351.66967728 - -351.67. Round i to five decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 1 - (0 - 1). Let v(n) = 10*n**2 - 17*n - 13. Let t(k) = -7*k**2 + 12*k + 9. Let i(z) = -7*t(z) - 5*v(z). Determine i(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 44, 27, -6, -61, -144, -261, -418, -621?\n\"Answer: -h**3 - 2*h**2 - 4*h + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100, -171, -224, -259, -276?\n\"Answer: 9*v**2 - 98*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16 = -3*l, 0*l - 2*v = 3*l - 17. Let b = l + -4. Let d be (-4)\/(-3)*(-27)\/(-18). Do b and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 218*b - 2608. Give n(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56134 and 94996.\nAnswer: 1234948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(171)*1)**2 + sqrt(171) + 4.\nAnswer: 9*sqrt(19) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (0 + -2))\/(3\/15). Suppose d - 30 - 61 = -x, d = -p*x + 95. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 123, 118, 113, 108, 103?\n\"Answer: -5*v + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 4170*g**3 + 1933488*g**2 + 299687862*g + 297758541.\nAnswer: 3*(g + 1)*(g + 463)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u + 19*u - u**2 - 2*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 129553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let u(f) = -289*f - 4*f**2 + 289*f. Give w(u(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oja when three letters picked without replacement from {o: 1, a: 5, z: 2, s: 1, j: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*g + 2*g + 50, -g - 112 = -4*m. Find the second derivative of -27 + k - 3*k**2 + m wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*c + 35*c**2 - c + 24*c - 54*c as l + d*c**2 + m*c and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = k - 24. Suppose -2*h - 26 = -k*r - 4*h, 0 = 4*r + 2*h - 52. Solve -2*x - 3*z = 3*x - r, 16 = -4*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - w = -2*w - 147, 4*w = -12. Is (b - 1) + (14 - 15) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -25. Let d = 40 - 41.3. Let u = d - -2.3. Which is the closest to u? (a) 0.1 (b) 1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -126 + (-52 + 137 - 93).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6))\/((-10)\/18920). Let m = 1487 + p. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13117.62 millennia to decades.\nAnswer: 1311762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*k - 1000 = 0, -4 = -3*k + 5*k. What is the remainder when r is divided by 109?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 650 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 17*a + 3. Let l be i(17). Let b be 12\/20*20\/6. Solve -6 - 4 = b*z, -l*u - 37 = 5*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (16 - (-9 + 10 + -5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 36*q - 108.\nAnswer: -3*(q - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -161*n + 157*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2748 - -2751. Let v(t) be the first derivative of 6*t - 9 - 3*t**w + 15\/2*t**2. Factor v(i).\nAnswer: -3*(i - 2)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2413, -2405, -2385, -2347, -2285, -2193, -2065?\nAnswer: -1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6874689633 + 6874689693.00000077. Let f = y - 60. What is f rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 275046.\nAnswer: 8\/137523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(120)\/(sqrt(50)\/(sqrt(20)\/sqrt(4))))\/(((sqrt(66) - sqrt(66)*4 - sqrt(66))\/sqrt(11) + sqrt(6))*-2)*6.\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 41 = -5*z + 15. Let p = -0.07 + -0.23. Sort z, 2\/7, 1\/8, p.\nAnswer: z, p, 1\/8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4637 * -0.0588\nAnswer: -272.6556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + d = 9, p - 17*d = -15*d - 14. Which is the nearest to 7\/11? (a) p (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 17*g - 17. Let f = -20 + 34. Calculate the remainder when f is divided by j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 + -1 - 0. Suppose 20 = 4*l + l. Let c(n) = 2*n - 2. Let t be c(2). Solve -t*i - l = -g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2115377, 4230892, 6346407, 8461922, 10577437?\nAnswer: 12692952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 5. Suppose -20 = -3*g - 5. Let x(n) = 1. Calculate g*x(h) + u(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 1, n: 6, y: 2, h: 7}. Give prob of picking 1 n and 1 a.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*b - 5*x, 5*x + 5 - 10 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 661416533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*v**3 + 0*v**2 + 0*v**2 - 6*v**3 + 3*v**3 + 4*v**3 + (-3*v**3 + 4*v**3 + 0*v**3)*(-1 + 7 + 3) as k*v**2 + p*v**3 + b + h*v and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -212322330 (base 4) in base 14?\nAnswer: -42152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/72)\/(107 - (-202714)\/(-1896)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + h + 2. Let r be v(2). Let y(o) = o. Let z(c) = -3*c + 10. Let l(p) = 2*y(p) + z(p). Let d be l(r). Solve x + d = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 18, 1\/2, -0.2 in ascending order.\nAnswer: -0.2, 1\/2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86736 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68194261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.5 + -32. Put 0.1, 4, w in ascending order.\nAnswer: w, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6986420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -21977623590077.\nAnswer: -21977623590072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10129670.\nAnswer: 2, 5, 1012967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-30))\/((-4)\/24).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803480*q - 803579*q - 594 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dngd when four letters picked without replacement from {n: 3, g: 2, d: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132017*b**2 + 2*b - 121950 wrt b?\nAnswer: -264034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91857\/4 - 22958. Let k be (-15)\/(-8)*(-8)\/(-6). Factor b - k*r + 1\/4*r**2.\nAnswer: (r - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*h - 64, h + 3*h = -x + 61. Calculate the highest common divisor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837.4119ml to litres.\nAnswer: 0.8374119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in 2\/13, 5, -3, -84812?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38340.12ml?\nAnswer: 38.34012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1633*s**2 - 213*s**2 - 21*s**2 - 1101*s**2 - 309*s**2.\nAnswer: -3277*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25039*z - 6 + 6 - 25052*z - 6.\nAnswer: -13*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -1\/3*q**3 - 2*q**2 + 2*q + 1 + 1\/4*q**4. What is the remainder when b(4) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 6 - 8 - 103*d.\nAnswer: -103*d - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(-1\/16)*n**(-2\/63)\/n)**27)**(-2\/3))**(-18) assuming n is positive.\nAnswer: n**(9351\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7162653794 to the power of 1\/2, to the nearest integer?\nAnswer: 84632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + c + 6. Let z be x(0). Let m be (-10)\/3*-3 - 1. Suppose m*i - 195 = z*i. What is the greatest common divisor of 26 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309, 311, 315, 321, 329, 339, 351?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-5))\/(-7)*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 3\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k - 14. Determine v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -17) + -2 + 0 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -77 - 181. Let j = c + -36. Solve -j = x - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + 9. Suppose -3*m - 3*j + 72 = 0, -2*m = 3*j - 5*j - 48. Let g = -10 + m. Calculate the remainder when h is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 30*y**2 + 532*y - 159. What is q(-10)?\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 + 3*m**2 - 2*m + 2. Let u(z) be the third derivative of -z**6\/20 + z**5\/15 - z**4\/12 + z**3\/3 - 2*z**2 - 55*z. Calculate 4*o(q) - 3*u(q).\nAnswer: -2*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5385, 10073, 14747, 19401, 24029, 28625, 33183, 37697?\n\"Answer: -u**3 - u**2 + 4698*u + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -12. Let j = -68 - -65. Which is the nearest to w? (a) -4 (b) -4\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -3*u, -34 = -7*o + 3*o - 2*u. Suppose 0 = 4*b + n + o - 42, 0 = 2*b + 2*n - 10. Solve 5*l - b*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1604*y = -1619*y + 30. Factor -2\/11*p + 0 - 2\/11*p**y.\nAnswer: -2*p*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 + -10 - -13) + (2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*j = 32*j + 190. Let c(w) be the third derivative of -1\/30*w**j + 0*w - 1\/105*w**7 - 9*w**2 - 1\/20*w**6 + 1\/4*w**4 + 2\/3*w**3 + 0. Factor c(y).\nAnswer: -2*(y - 1)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 927.9785 centuries?\nAnswer: 1113574.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 3*r - 199 = -61, 0 = 4*r - 4. Solve -25 = 4*z - 5*i, c*i = 2*z + 17*i - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 - 1.7. Let i = s - -7. Is i at most 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -231997616 and 0.\nAnswer: -231997616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125834021?\nAnswer: 3, 13, 9622513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (563 - 584 - (-17 + 0)) + 5 - (-1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(36)*-4)\/sqrt(12).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86a (base 11) to base 8.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.77 - -0.058888917.\nAnswer: 1.828888917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2768 divided by -5\nAnswer: -2768\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.70142l to millilitres.\nAnswer: 13701.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 2. Let n be v(-2). Suppose n*d + 6 = d. Suppose 0 = -3*l + d*l - 144. Calculate the remainder when l is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j + 30*j - 8*j - 7*j to the form k + w*j and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6116973, 12233930, 18350867, 24467778, 30584657, 36701498, 42818295?\n\"Answer: -y**3 - 4*y**2 + 6116976*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/96 and (-33)\/(-10) - 7\/7?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 - -286. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/((-6)\/16). Let l = -13\/380 + -259\/760. Sort l, x, 0, 0.1 in descending order.\nAnswer: x, 0.1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 691*n - 688*n = -255429, v + 4*n - 85183 = 0. What are the prime factors of v?\nAnswer: 11, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 1. Let x(t) = t**2. Let k(p) = 4*u(p) + x(p). What are the prime factors of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 176.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2204 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-12)*(-21700)\/875)\/((-14)\/(-21)*6).\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75 - -2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -4 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29990119 and 0.2.\nAnswer: -5998023.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 1. Let y(m) = -4 + 5 - 2. Let z(h) = -h + 3. Let s(p) = -2*y(p) + z(p). Let x be s(3). Give d(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*(-28)\/(-210)*((-315)\/(-25))\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14152*a - 4816*a - 4687*a - 4805*a + 20280 = 0 for a.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 69 - 11. Let m = z - -45. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -128.\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**2 + 24*r**2 - 28*r**2 + 23*r**2 - 36*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z + 281*z - 57853 = -266*z - 14711 for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and (12\/(-16)*14)\/((-53)\/742)?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 250*1*23934\/15. Round w to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -16*m + 70. Let h(c) = -c + 2. What is h(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/13)*c)\/c)\/c)\/(c*c**(3\/16)*c) assuming c is positive.\nAnswer: c**(-631\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1608612?\nAnswer: 2, 3, 37, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -3*t + 8, 5*t - 4*m - 6 = 0. Let i(v) = 7 - 3*v**t + v**3 - 9*v - 3 + 6*v. Let b be 14\/4 - 3\/(-6). What is i(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3\/5, -0.5 in decreasing order.\nAnswer: 7, 3\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 164267001 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (33\/12 - 0) + 4\/(-1). Let z = -12 - -17. Let h = -14.2 + 13.2. What is the smallest value in c, z, h, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*i - i. Let b = i - 7. What is the lowest common multiple of b and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 19*f + 33. What is the remainder when 4056 is divided by a(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -628, 2\/11, 0, -2.\nAnswer: -628, -2, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/8)\/((-8551)\/(-33198))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) - ((sqrt(1216)*-2*1)**2 - sqrt(1216)) - ((sqrt(228)*-2)\/sqrt(12) - -2*sqrt(2736)).\nAnswer: -4864 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.21, -2\/11, 14, 1\/2, 0.7, 2, -3\/7?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3))**(-1\/26)\/((h*h*h\/h**(-2))\/(h**(-8)\/h)) assuming h is positive.\nAnswer: h**(-548\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -54.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdrnhhrrrh. Give prob of picking 2 r and 2 h.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-700)*238\/(-12))\/(((-3)\/(-9))\/1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 52\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1*1\/(-4)*-44. Suppose -7*k + o = 4*k. Does 19 divide 23 + -28 + k*138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2259*m - 2254*m - 4350 = 0. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 9*k**2 + 80 - 125 - 2*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i + 3*q + 1, -q + 10 = 3*i. Solve 2*z = -i*o + 11, 0*z = -2*z + 4*o + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*i - 10 = 0, -5*v + 2*v + 3 = -4*i. Let h be (36730\/6)\/v + (-2)\/6. Suppose -6*j = 2*j - h. What is the highest common divisor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5080*d**2*z**3 + 14*d**2 - 137*d*z**2 - 4*z**3 + 4*z**2 wrt z.\nAnswer: 30480*d**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-72922)\/6137 + -2 + 32\/17\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s)**(-36)\/(s\/((s*s**(6\/11))\/s)*s**(-4\/5)) assuming s is positive.\nAnswer: s**(1999\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.092, -31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -406005222 greater than -406005221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*b - 625, 3*p - b = 512 - 138. Suppose -p*r + 117*r = -126. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505 = -5*h + 485 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 31*i - 133 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 351314 and 6530?\nAnswer: 1756570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 6*n**2 - 4*n + 2. Let u(g) = -g**2 - 5*g. Let z be u(-4). Is b(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkqkkkkkkkkkqqqk. Give prob of picking 2 k.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 4, d: 7, f: 1}. Give prob of picking 2 d and 1 f.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -16, -64, 2 in descending order.\nAnswer: 4, 2, -4, -16, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 + 63*y\/4 - 33\/2.\nAnswer: 3*(y - 1)*(y + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, -1, -17, -17, 5, 55, 139, 263?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/13)\/(f\/f**(-25)))\/(f**13)**(8\/11) assuming f is positive.\nAnswer: f**(-5004\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-10)\/90)\/((-3)\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1131760 and 112.\nAnswer: 1131760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 2461145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59083 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -1)\/(32\/12 - 2). Suppose 0 = 5*h - 2*y - 17 + 2, 3*y = -h + 20. Let i = -3 + h. Sort i, 3, b in increasing order.\nAnswer: b, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 4*z - 16. Suppose -q + 4*b + z = 0, -b - 2*b - 3 = 0. Let j(y) = y**2 - 9. Let d be j(-3). Solve q = -f - 4, 4*a + 0*f + 4*f = d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - ((-1935)\/(-50) - -4). Let d = -221\/5 - j. Which is smaller: d or 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + 0. Let t = -19 + k. Find the second derivative of 3*w - 2*w**3 + 9*w**3 + 2*w**t + 9*w wrt w.\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8649 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177 + 21*b + 177 to d*b + w and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -1. Let r = 15 - 9. Let q be (-1 - -2)\/(r + -7). What is the smallest value in s, q, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -35. Let d = -2.9 + 3. Which is the nearest to h? (a) d (b) 0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10152944 is divided by 481.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 42*r - 15*r - 24*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18 - -15) + (5 - 1). Solve 0*d + u = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21887524, 21887525, 21887526, 21887527?\n\"Answer: f + 21887523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32179)\/427521)\/((-3)\/9).\nAnswer: 7\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 8, -24 = -4*u + 4*k - k. Suppose 3*n - 12 = -j, 0 = -u*j + 2*j - n + 6. Let g(a) = -a - 1 + 2*a + 6*a**j + 0*a. Calculate g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**3 - 4*t**2 + 2*t. Let s be b(2). Let q be (0 - 1) + (s - 0). What is the greatest common factor of q and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 193161, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(1 + 18\/(-16)). Let k(n) be the first derivative of 3*n**2\/2 - 4*n - 47. Let p be k(4). Calculate the greatest common divisor of f and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148844 or -1026?\nAnswer: -148844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 5*y**2 + 4*y + 6. Let p be (-6)\/(-12) - 13\/(-2). Let a be c(p). Let h = 425 - a. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 6. Let d be u(0). Suppose 0 = -6*y + 4*y + d. Suppose 2*g - 5 = -2*t - 1, -2*t = -5*g + y. Which is the nearest to 1? (a) g (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 15257103.\nAnswer: -61028412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 296.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5588841 and 447.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -212311102 (base 4) in base 15?\nAnswer: -321dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*q + 441*f**2*r + 2*f**2 + 2*f*r - 3*f - 59*q**2*r - 2*q**2 with respect to q.\nAnswer: f**2 - 118*q*r - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*x - 76*x + 185*x + (5*x + 0*x - 4*x)*(3 + 5 - 1)*(1 + 4 - 3).\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-25)\/(-60)*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 6*d - 1. Let t(f) = -2*f**2 + 7*f + 1. Calculate -6*p(l) - 5*t(l).\nAnswer: 4*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - k + k)*((-11 - 3 + 3)*(-10 + 48 + 122) - 3 + 4 + 0) in the form b*k + w and give b.\nAnswer: 3518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368330 to the power of 1\/2, to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 65.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 2, c: 2, l: 1, s: 1, z: 4}. What is prob of sequence zkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*q**2*w**2 + 2*i**3*w**3 + 3*i**2*q**3*w**2 - i*q**3*w**3 + 4*q*w**2 + 10*w**3 wrt w.\nAnswer: 12*i**3 - 6*i*q**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15958.6 and -1.7.\nAnswer: 27129.62","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 4*q - 3. Let d be z(-1). Let g be (-100006)\/(-4196) - (3 + d). Let h = g - 1\/3147. Find the common denominator of 65\/4 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 182*p**4 - 3*p**3 + 2*p**2 + 2*p + 274. Let h(n) = -n**4 - n**3 + n**2 + n. Let v(d) = 2*h(d) - r(d). Differentiate v(y) with respect to y.\nAnswer: -736*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, w: 7, h: 1, f: 1}. What is prob of sequence mww?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-5)\/4)\/(6\/(-120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17460*i**3 + i**2 - 1581115*i.\nAnswer: -104760*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.85 and 18750362640.\nAnswer: 18750362640.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -805523, -805522, -805521, -805520, -805519, -805518?\n\"Answer: n - 805524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -2*t**3\/9 + t**2\/3 + 4*t\/3 + 1. Solve y(j) = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 6 - 2)*(4 - 4 - 2) + 14 - 1 + 0)*(-5*a**3 + a**3 + 2*a**3) to the form b + w*a + z*a**3 + g*a**2 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -82*v + 41*v + 41*v - 2*v**2. Let y(k) = -k. Give h(y(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q - 255 = 55*q. Suppose 81 = n + q. What is the remainder when 52 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 - y - 8. Let g be b(10). Suppose -58*i + 60*i = g. Does 46 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98944.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (-22 + 30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9351 rounded to the nearest one hundred?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-42 + 9 - 10) - (-23 + 20)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a factor of 35282511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - t + t)*((0*t - 3*t + t)*(2 - 1 + 0) - 69*t - 49*t - 124*t) to the form d*t**2 + y + l*t and give d.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**18*s)\/s)**16*s**46\/s*s*s*s**41 assuming s is positive.\nAnswer: s**376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:39 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -18. Let p be i - (-1 + 1 - 1). Solve -7*q = -3*q - p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (-7 - (-41 + 20)) - -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -551 + 558. Suppose 159 = 19*h + s. What is the lowest common multiple of h and 173?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 192 = 4*z. Suppose -3*c**2 + 5*c**2 - 6*c**2 - z - 32*c = 0. Calculate c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -325224788*o + 139837972 wrt o.\nAnswer: -325224788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64\/10 - (14\/10 + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058 minus 4572?\nAnswer: -4571.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -26. Suppose -4*s + 11 = m. Solve -1\/7*w**4 + s*w + 0*w**3 + 1\/7*w**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 383, -1, -43.\nAnswer: -43, -9, -1, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q**8)**13 assuming q is positive.\nAnswer: q**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 1, l: 1, p: 1, j: 2, a: 2}. Give prob of sequence ylaf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suuuscsssssuuccb. Give prob of sequence uus.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2. Let n(p) be the first derivative of -550*p**3\/3 - 40. Determine d(n(v)).\nAnswer: 605000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 373*o - 1328. Determine q(3).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 65 - 37 = 0. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - h**2 - h - 6. Let z(w) = 2277*w**3 - 1732*w**2 + 3*w + 18. Let d(v) = 3*a(v) + z(v). Find the third derivative of d(l) wrt l.\nAnswer: 13626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - g**4 - 4*g + 2*g**4 + 4*g + (-5*g - 2*g + 3*g)*(-6*g**3 - g**3 + 4*g**3).\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 17*u + 144 = 0. What is the remainder when 154 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 81419541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 - 7*b - 34. Give w(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/63?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1370 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = 42, -5*f + 9*f + 29*y = 5*f - 0*f - 179 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -0.0926245?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-3 + 3)) + -5. Let y = 301\/5 - 60. Put y, v, 5 in ascending order.\nAnswer: v, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1151 (base 6) to base 16\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 159 + 4*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20434*-0.104.\nAnswer: -2125.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 7*k**2 - k - 11. What is the units digit of i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.013 - -0.042. Let k = -3.7379 + -0.2331. Let z = k - q. Which is the fourth biggest value? (a) 5 (b) 9 (c) z (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 104, -0.4, -6, -0.2, 2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a - 22. Let o be w(5). Let c be -6 + 11 - o - 11969\/(-3990). Let h = 7759\/2660 + c. Find the common denominator of 11\/6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 917414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2256058 and 11?\nAnswer: 24816638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 571, 572, 573?\n\"Answer: t + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12848b (base 12) to base 15\nAnswer: -604ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t**2 - 11*t + 7. Let x be 56\/28 - 3*1. Let v(q) = -1. Let i(o) = x*y(o) + 5*v(o). Is i(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1921 is divided by 323.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1530)\/(-39270) - (1\/(22\/(-40)) - -2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -a - 146927, -a - 27966 = b + 21007. Is b\/(-215) - (-2)\/10 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**2*d**2 + 6509468*b**2 + b*d**2 - 5*d**2 + d + 2435224 wrt b?\nAnswer: 6*b*d**2 + 13018936*b + d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(sqrt(2299) + -3 + (sqrt(2299) - ((sqrt(2299) - (1 + sqrt(2299) + sqrt(2299))) + sqrt(2299))))**2.\nAnswer: -27602 + 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*6\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 642068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiyy when four letters picked without replacement from {i: 3, t: 2, m: 1, l: 7, y: 7}?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2448*-0.2706.\nAnswer: 662.4288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 18*j + 103 = -11*j - 208, 0 = -l + 3*j - 124 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 6, -0.5, 2 in decreasing order.\nAnswer: 6, 2, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489464 is divided by 32568.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(100) - sqrt(100))\/sqrt(4))\/sqrt(5).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -8)\/((-10)\/(-10)). Let n = z - -9. What is the third derivative of 1879*m**3 - 31*m**n - 37*m**4 - 1879*m**3 wrt m?\nAnswer: -888*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2720*o**4*t - 4*o**3*t - 3*o*t - 14*o + 835*t wrt o?\nAnswer: -32640*o**2*t - 24*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/3*6\/5. Solve -c = -2*b + 1, -b - 2*c = s*c + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 12. Let u(t) = 2*t + 4. Let g be u(-2). What is the units digit of x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7395334553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 2. Let a = -544 - -550. Calculate y(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 1809868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -307 + 306.6. Put m, -6\/61, 1 in descending order.\nAnswer: 1, -6\/61, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4160\/4992)\/((-70)\/6).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -837 + 3766. List the prime factors of c.\nAnswer: 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 - 7. Let k = -46 + 50. Let w(y) = y**2 - 2. What is k*t(b) - 14*w(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/76)*s**(1\/7)*s*s**(3\/16)*s*s\/(s\/(s\/(s*s\/(s\/s**(6\/17))))*s*s*s)*s assuming s is positive.\nAnswer: s**(-1293\/36176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmgtmmootv. Give prob of picking 1 o and 2 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmmhmhmihvmjvhmhehh. Give prob of sequence mji.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*f - 135, 2*a - 5*f + 54 = -4*f. Which is bigger: a or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -98. Let n = 142 - y. Which is smaller: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**3 - 3374535*w**2 + 2*w + 35607318.\nAnswer: -3*w**2 - 6749070*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 538 - 544. Solve 5*f = 5*b + 25, -4*f + 7*b = w*b - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 120*l**2 + 35*l + 35. Let t(n) = 3*n - 9*n**2 + 3 + 5*n**2 + 14*n**2. Let w(m) = -3*a(m) + 35*t(m). Let y(f) = 2*f. What is w(y(x))?\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.3 - -11.28. Let q = 0.02 + k. Let j = 85 - 81. What is the second biggest value in -5, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2211015 and 7712634.\nAnswer: 9923649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksoon. Give prob of sequence so.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42514, 90790, 139060, 187324?\n\"Answer: -3*d**2 + 48285*d - 5768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 1, y: 2, c: 6, x: 3}. What is prob of picking 1 y and 1 s?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v - 133 = -28*v. Let w = 323 - 211. What is the remainder when w is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*x - 28, 4 + 0 = 2*x - 4*l. Suppose n - 30 = x*n. Let k(v) = -v - 5. Let r be k(n). Let f(p) = 2*p**2 + 2*p - 1. What is f(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6140\/(-83) - (-88)\/244684*-67.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3. Let l(i) = i - 4. Suppose 0 = -65*w + 66*w - 7, p - 2*w + 19 = 0. Calculate p*l(z) + 6*t(z).\nAnswer: -5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 9:50 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -149 - 3) + 201.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) 1\/2 (c) 3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2876.06689 rounded to the nearest integer?\nAnswer: -2876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238.5 + -238.5. Let q be 2\/(-5) + (-23)\/(-20). Which is the second biggest value? (a) n (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 16 = -2*k, 3*v - 24*k + 20*k = 27 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(27*19\/171)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-16)\/12) + -1. Let n(s) = -3*s - 4*s**u + 11*s**2 - 5 + s**3 - 2*s**2. What is the least common multiple of n(-5) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-42) - (0 + 5\/(-35)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672574.3 decades to millennia.\nAnswer: 6725.743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 3:28 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f + 2. Let i(b) = -11*b - 2. Let k(l) = -5*c(l) - 4*i(l). Calculate k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -677 (base 9) to base 4.\nAnswer: -20230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22779 is divided by 1626?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -22\/9, 0.5, -3, -1\/8, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(252) + -1).\nAnswer: -6 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 - 76108.674?\nAnswer: -76108.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.00395 hours in nanoseconds?\nAnswer: 57614220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 - 95*x - 300. Determine i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37, 91, 169, 265, 373, 487?\n\"Answer: -t**3 + 18*t**2 + 7*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3170*a + 11270 = -3415*a for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-3) - (-3 - -8). Let y(w) = w + 11. Let o be y(k). Sort -4, o, 2 in descending order.\nAnswer: o, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12950*i + 12811*i = 2363 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 2*z - 3*d, 11539*z - 11558*z - 266 = 2*d for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 484*l = -1868 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.85 - 1.35. Let h be (-12)\/42 - (-26)\/(-7). Let m be -4*(-2)\/28 + (-420)\/441. Which is the fourth smallest value? (a) o (b) m (c) 4\/5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1107737 (base 9) in base 5?\nAnswer: -123034234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-8))\/((-129)\/344).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110001011100010000000111 - -11?\nAnswer: -1000110001011100010000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4150 + 3420?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from rzb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k - 120*k = -43*k - 333 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -6*sqrt(119)*4 - (sqrt(119) + (sqrt(119)*1*-5 - sqrt(119))))\/(sqrt(7) + (-3*sqrt(84))\/sqrt(12) + sqrt(567)*3).\nAnswer: -18*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000130945585 rounded to 7 dps?\nAnswer: 0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 12*i + 45*i + 265 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792*l - 3181*l - 7*l**3 + 793*l + 796*l + 800*l.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4*w - 106*q**3*w - 61*q*w wrt q.\nAnswer: -24*q**2*w - 636*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*u + 288 - 288)*(4 + 2 - 4 + (3 + 3 - 4)*(0 + 5 - 2)).\nAnswer: 176*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -15*l**2\/2 + 14. Let m(u) = -2*u. Determine m(o(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -14. Let l be ((-60)\/56)\/(o\/42). Let w = -11 - l. What is the second smallest value in w, -0.3, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 11:26 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 72*w + 37. Let d(q) = -q**2 - 32*q + 19. Give -9*d(p) + 4*r(p).\nAnswer: 5*p**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0*v**4 - 101*v + 0*v**5 - 35\/2*v**2 + 7\/6*v**3 - 3\/10*v**6 + 0. Find the first derivative of t(s) wrt s.\nAnswer: -36*s**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5533332 and 3534.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1503 - 121?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 2. Suppose -t*q + 11 = -7. Suppose -2*r = -q*a + 38, 0 = -5*a + r + 3*r + 60. Solve -4 + a = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15))\/((-35)\/385).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87936 and 29312.\nAnswer: 87936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:22 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 459650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/513 and -61\/627.\nAnswer: 5643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 16. Which is the closest to -2\/5? (a) f (b) 2\/9 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4139 + -4138. Solve -5*h + 20 = p, -4*p = -3*h - g - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2141354 (base 6) to base 12\nAnswer: -5185a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/((-44)\/(-8))*1\/8. Let q(p) be the first derivative of 2 + v*p**4 + 0*p**2 + 0*p + 0*p**3 - 1\/5*p**5. Suppose q(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205577 smaller than 3616732\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + (1 - 4) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 1.8 (c) -2\/51 (d) -3\/5 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -30, -71, -128, -201, -290, -395?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/9 - 25504*k + 731760768 = 0. What is k?\nAnswer: 57384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -3047, -7, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17294216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w = -10*w - 1031 + 1463 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 36\/113 (b) 1\/12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/(-44)*(-5 + 1). Let z(j) = -3*j + 4*j - g*j - 3*j. Let x(v) = -2*v. Let w(a) = 2*a. Let n(o) = -3*w(o) - 2*x(o). Give z(n(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from zpyfcey?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1296, 1307, 1334, 1383, 1460, 1571?\n\"Answer: s**3 + 2*s**2 - 2*s + 1295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*s - 10*s. Suppose 7*y - 80 = 5*y - x, 127 = 3*y + s*x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1869, 3768, 5667, 7566, 9465?\nAnswer: 11364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -437.96 rounded to 0 decimal places?\nAnswer: -438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzysiqp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (48 + (-117 - -36)) - 37?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10997738 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - d?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/887 - 877\/4435. Let k be (0 - 2)\/(-1 - 2). Sort w, k, -5, -0.5 in decreasing order.\nAnswer: k, w, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11381 - 10516. What are the prime factors of d?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z)\/(z\/z**(-1\/32)) assuming z is positive.\nAnswer: z**(159\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3258 = 2*k - 0*k. Let m = k - 4841\/3. Find the common denominator of ((-6)\/32)\/(4\/304) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52645)\/(-225) + (7 - 3). Let z = 238 - q. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/(-6) - 2\/(-6). Which is the third smallest value? (a) d (b) 2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666 at least as big as 2097\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83.77 + -85. Let c = h + 1.2300916. Round c to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 30 = 4*q - 5, -4 = -q + 5*h. Suppose 3*u - 4*d + q*d - 134 = 0, -2 = -2*d. What is the remainder when u is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52611333 + 16?\nAnswer: -52611315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86202 divided by 2?\nAnswer: 43101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 - 344*x - 151. Calculate c(64).\nAnswer: -1687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/2)*w**43 assuming w is positive.\nAnswer: w**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1, 6\/5, 2, -2355, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10420403 (base 6) in base 16?\nAnswer: 4c9b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 7*f + 5. Let g be o(6). Suppose 3*l = p + 42, l - 2*p = -0*p + 19. Let r = l - g. Solve 6 = -r*j - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 93\/(-2)*(-20)\/30. Let t be (1 + -70)\/((-2)\/2). Let c = t - z. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 11\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130.4 - -129. Let i = 133.2 + -133. What is the second smallest value in i, -0.4, 5, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*-2 + (sqrt(240)\/sqrt(4))\/sqrt(12) + -1.\nAnswer: -15*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 equal to -192\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 87304a (base 11) to base 10\nAnswer: 1394942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080983?\nAnswer: 1080983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 667, 665, 663?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4278 and 20102.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {y: 1, c: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5480\/19229 - 2\/2747. Which is the nearest to -0.2? (a) -0.012 (b) f (c) 1\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131330 = -1351*s - 2798*s - 1288*s - 151394 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j - 18. Let c be (0*3\/j)\/(-1). Solve c = -2*l + 7 - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 22. Suppose -16 + j = -2*z. Let c = -1912.5 - -1912.4. What is the third biggest value in z, c, -0.02?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-3))\/((-2970)\/(-7128))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19320)\/1680*(-168)\/46. Let m = -11 - -15. Suppose 2*l - l = m, l = 5*x - 1886. Calculate the highest common factor of x and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 3 + (-1 - 0 - (26 + -24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767397078 to the power of 1\/2, to the nearest integer?\nAnswer: 42040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v + m - 5 = 0, 0 = 3*m + 9. Let g be ((-7)\/14)\/(2\/16). Put -1, v, g in ascending order.\nAnswer: g, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95016350 times 4\nAnswer: 380065400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211201212 (base 3) to base 10.\nAnswer: -36257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7268?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1496 + 1528 + (-46)\/66*46\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9*3\/(-1080)*-6)\/(18\/16)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 482600 to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3431*y**4 + 2124 wrt y?\nAnswer: 13724*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2571, -5, 3\/4, 0.729 in decreasing order.\nAnswer: 3\/4, 0.729, -5, -2571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540.4 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18334 < 18334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*v = -3*v - 70, 0 = u + 4*v + 35. What is the common denominator of 19\/9 and -2 + u\/(-6) - (-1078)\/198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k\/k**(-3\/10)*k)))\/k*k\/k**6)\/((k\/(k**(-2\/7)\/k)*k)\/k)**(-25) assuming k is positive.\nAnswer: k**(3811\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/9))**(5\/11))**(-2\/99)*((b\/b**0*b)**42)**(-23) assuming b is positive.\nAnswer: b**(-18935512\/9801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137847 = 235913*m - 235910*m. Does 197 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -5*t + 9*j + 40, t - 31 = -4*j. Calculate the lowest common multiple of 16 and t.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9699.\nAnswer: 3, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10102111 (base 3) to base 5.\nAnswer: 34442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3704, -3.\nAnswer: -3, 3, 3704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*h - 32*h - 27*h - 734*h**2 + 86*h in the form f*h + w*h**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymjpoem. Give prob of picking 1 j and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 531, -2, 16, -187 in descending order.\nAnswer: 531, 16, -2, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**6)\/a**(-6\/5)*(a*a**1)\/a*a**17 assuming a is positive.\nAnswer: a**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -5*y**2\/2 - 3*y + 1. Let r = 163712 + -163710. Calculate m(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*g - 2 = 153*g - 69*g, 5*g - 6 = -2*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(0 + (-16)\/12). Suppose 0*u + 140 = 4*u. Suppose -4*w + 29 + u = 0. Solve -w = z*j, 3 + 4 = g - j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l**2 - 12*l + 4. Let w(f) = -f**2 - f. Let q = -369 + 357. Calculate q*w(g) + o(g).\nAnswer: 2*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 76186358 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -36*b - 315. What is h(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z\/(z\/z**(-1)*z)*z*z)\/z)*z*z*z**4)\/((z*z**9)\/(z*z*z**9*z)) assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 - 6.3. Let x be 3\/(-12) + 27\/12. Suppose -r + 7 = -2*s, 3*r - 5*s = -x*r + 20. What is the nearest to r in 0.3, o, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, 3, -2\/5, -3, 34, -4, 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44623136659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858632 a multiple of 988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1030913 - -10051896. Let l = b + -11082810.0000002. Let r = l + 1. What is r rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14*n**3 - 4116*n**2 + 4152*n + 6497. Give t(-295).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/120 - g**5\/20 - 5*g**4\/24 - 2*g**3\/3 + 5477*g**2. Calculate a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1612 + 5373. Let s be ((-777)\/(-54))\/7*w. Let u = s + -7726. What is the common denominator of 33\/2 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -5402641742690.\nAnswer: -5402641742685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1966 + -1969. Sort 5, l, 56 in decreasing order.\nAnswer: 56, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12.89 (b) -1\/7 (c) -2 (d) -0.09 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-6)\/(-6))\/(4\/36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035*l**2 + 73*l + 6\/5 = 0 for l.\nAnswer: -2\/45, -3\/115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r + 4. Let i be z(4). Suppose 4 = -2*a + s, s - i = a - 2*s. Which is greater: a or -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 4*d + 3. What is the smallest common multiple of a(-3) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from cgllcqqqtggccgkll?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*l - 8, -5*g - 1 + 6 = 0. Let u = -1 - l. What is the units digit of 4 + 17 + (-3)\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -162099\nAnswer: 13\/162099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 40\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -711989, -711990, -711991, -711992?\n\"Answer: -t - 711988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447955289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -243 - 4?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, -126, -265, -454?\n\"Answer: -25*u**2 - 14*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose -3 = -m*y + y. Let z = 0 - -3. Solve -y = j - z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - j**2 - j - 1. Let f = 79 + -38. Let q(t) = -f*t**2 + 4*t + 4 + 2*t**3 - 4*t**3 + 43*t**2. Give -q(l) - 4*z(l).\nAnswer: -2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -46.9. Let b = 5 + a. Let f = -1092\/6127 + -2\/557. Is f >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*a**2 - 132062*a + 11484.\nAnswer: -2*(a + 2871)*(23*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2550 divided by 25.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 4*j**2 + 5*j + 3. Let r be f(0). Suppose -5*w + 3*l - 497 + 2822 = 0, -w = -r*l - 453. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4631.3*-908\nAnswer: 4205220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 c when four letters picked without replacement from ixiic.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhhomhoe. What is prob of sequence em?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9328 + -10543.7. What is y rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, -3, 2\/19, 5 in descending order.\nAnswer: 5, 4, 1\/3, 2\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6386, 7180, 8504, 10358, 12742, 15656?\n\"Answer: 265*w**2 - w + 6122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11 - (-23 - (-50 - -23))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 0*u + 0*u + (-292 + 292 + 276*u)*(-2*u + u - 2*u).\nAnswer: -831*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 384. Let h(s) be the second derivative of -s**3\/3 - 2802*s. What is h(w(q))?\nAnswer: 2*q + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.9 - -7.6. What is the nearest to -1 in -5, y, -0.18?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 328*d**3 - 31474*d**2 - 33160*d - 1358.\nAnswer: 2*(d - 97)*(d + 1)*(164*d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 6*k - 5. Let c be x(-7). Let m(i) = -c*i - 2 + i - i. Let h(g) = -1. Let y(p) = -5*h(p) + m(p). What is the first derivative of y(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:53 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-2)*z**(-4\/7)\/z)**(-25)*(z**1)**(17\/2)*(z**0)**(-38) assuming z is positive.\nAnswer: z**(-731\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlfrzgrfrgggrfh. Give prob of sequence zf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361, -1723, -3993, -7171, -11257, -16251, -22153?\nAnswer: -28963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -19. Suppose -2*q + q = g. Suppose 26*z - 30*z + 4 = q. Is z at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/68*(-864)\/198?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/17, 6\/25, 1, -13?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2 + b - 5*b - b. Suppose -37 = -44*m + 139. Let q(g) = -g**2 + 6*g + 3. Give m*q(h) + 5*t(h).\nAnswer: h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2060 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2401, 2\/21, -5, -1\/4, -0.3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (1 - -1 - -2). Let n be (1 - 2) + s\/(-2). Suppose 2*v + 0*v = n. Are v and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)\/(2\/78). Let b be (2 - (-2 + 43))*(-3)\/(-3). Are l and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*m - 18 = -1, -4*t - 2*m - 2 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v**5 - 78*v**4 - 2*v**3 + 342*v**2 - 252*v = 0. What is v?\nAnswer: -7, -3, 0, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*w - 26*w + 8 + 5*w wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from uffpccfooiuoci?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 6*k**2 + k - 3. Let a be z(6). Suppose 0 = b + a - 6. Suppose -35 = -b*v - 2*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28016 (base 15) to base 13.\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - (-4 - 0)*1. Let u(d) = -2*d**3 - d**2 - 2*d - 1. What is u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = -4*r + 3*n, -4*r - 2*n + 14 = 0. Suppose -1 = -r*z + 5. Solve g = -z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -33020?\nAnswer: -33021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2 + 5 - 5 + 2 + (2 + 3 - 3)*(0 + 3 - 4) + 0 + 2 - 3 + 3 - 1 - 3)*(-32*u - 275*u - 21*u).\nAnswer: 984*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1008) + -4 + sqrt(1008) + -3))**2.\nAnswer: -5376*sqrt(7) + 65296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 - 5) - (-3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 849 = -893. Solve 0 = 7*h - 9*h + 10, -2*y + n*h - 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 22110?\nAnswer: -22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/(3 - -1). Suppose 2*z = -2*z. Is z greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -1\/90*q**5 - 2\/27*q**3 + 13*q + 0 - 1\/18*q**4 + 0*q**2. Factor d(o).\nAnswer: -2*o*(o + 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, y: 17}. Give prob of sequence yyii.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7346 - -2543. Let b = 4835 + -7878. Let v = b - d. What is v rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*b)*(0*b**3 + 0*b**3 - 2*b**3) + (1 - 1 - 3*b)*(-181*b**3 + 114*b**3 - 138*b**3) in the form w*b**3 + k + z*b**4 + y*b**2 + s*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:14 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*u - 58, 0*c + 78 = 4*c - 5*u. What is the smallest common multiple of 22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*o + 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/2475 and -74\/82575?\nAnswer: 908325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = 9*h - 1785. Suppose 0 = 97*z - h*z - 56. Put z, -4, 5 in descending order.\nAnswer: 5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 22*q - 2820. Calculate the highest common divisor of q and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12323 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k + 2. Determine w(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196977 divided by -1397.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 5, -5, -9668, 2, 223 in ascending order.\nAnswer: -9668, -5, -4, 1, 2, 5, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 5670.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.54105kg to milligrams.\nAnswer: 63541050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r + 5*x - 102 = 0, -4*x = 5*r - 183. Let c(h) = 59*h + 16. Is c(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let r = p - -2. Let w = r - 2.9. Is w not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/176)\/(1\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-40)*320\/(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t. Let q be x(-2). Suppose 0 = 6*z - q*z - 40. Suppose -y + 70 = 20. Calculate the greatest common divisor of z and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 31*b - 45 = 0. Suppose 0 = -38*s + 5 - b. Solve 5*p + 10 = 5*i, 2*i - 4*p + 0*p = s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 4)*(4*f - f**2 - 4*f) - 97767*f - 87*f**2 + 97767*f + 55 to the form d*f + z + j*f**2 and give j.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01224653 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 978*p**2 - 637656*p + 138583904.\nAnswer: -(p - 652)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21806 is divided by 1981?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 - -3 - (0 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*w**4 + 255*w**3 + 6*w - 258*w**3 - 3*w to m*w**2 + g + y*w + c*w**3 + l*w**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = 5*g - 43. Suppose -3*d - 5*q = -80, -5*d + q + 90 = -g. Suppose -6*z + 2*z = -44. What is the remainder when d is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (6 - (-10 + 12)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -152 + 389 + -254 + -80 + -1\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 7*p - 322. Suppose -5*m - 215 = -5*q, 3*m - p = -3*q - 2*m. What are the prime factors of q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 2*m**2 - 4*m - 4. Let n be w(-2). Suppose p = 2*p + n*b - 23, 5*b + 15 = 5*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 8*y - 40. Calculate the remainder when v(-9) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -4, -9, 5.3159, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**4\/12 + 7*d**3\/6 - d**2\/2 - d. Let o be h(6). Solve -1 + o = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 34*w - 15. Let z be g(12). Suppose 6*t = z*t - 29613. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + o + 57, d - 2*d + 33 = -5*o. Calculate the greatest common divisor of 144 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*c + 32 = 0, -2*y + 115188 = -c + 115136 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41309.3 - 2.54?\nAnswer: -41311.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15\/91 - -4279\/1092. Let h be (42682*111\/468)\/(18\/(-81)). Let d = h + 45553. Find the common denominator of f and d.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 613275 and 20553.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from zepwahe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 27 = -4*p. Let s(t) = t**2 - 11*t + 37. Let m be s(4). Calculate the greatest common divisor of m and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3405*a - 131858 + 230068 + 232075 for a.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = 0, -j + 22 = 3*r + 7. Suppose 0 = 11*l - 14*l - 5*w + 51, -7*l + 145 = 3*w. Solve 3*d = 5*s - 0*s - l, r*s = -d + 21 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3364)\/406 - 4\/(-14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.186 + -109.186. Let s = w + 108.7. What is the biggest value in s, 5, -3\/2, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.58 and 0.0253.\nAnswer: -0.5547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99958 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464\/(-21) - 1 - (36 - (-6064)\/(-168)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 208 and (502 - -18)\/(-4 + 3 - -2).\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 124717 = -3*h, 124724 = 3*h + 29*l - 30*l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8802186 micrograms to nanograms.\nAnswer: 880.2186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24358 is divided by 3029.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3883\/3168 + (-4)\/(-18) and -7\/12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49, -205, -465, -829?\n\"Answer: -52*h**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19594917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3, 21 = 5*i + 4*m - 0. Let l(n) = 7*n - 5. Let x(p) = -3*p + 2. Suppose 0 = r + 2*w - 12, -3*w + 19 = -0*r + 2*r. Determine i*x(d) + r*l(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1006080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*w - 81*w = -38*w - 2030 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 8*q**2 - 2*q + 10. Let i be r(8). Let g(m) = m**2 + 7*m + 4. Let t be g(i). What is the tens digit of (-1)\/t - (-1 + 147\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p + 7\/2*p**2 - 64. Let t be 10\/55 - 18\/(-22). Give f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t**5 - 87*t**4 - 9*t**3 + 615*t**2 + 525*t = 0.\nAnswer: -7\/4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*m = u - 243*m - 8, 5*u = -m + 103. Calculate the remainder when 4319 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 45*t**5 + 80*t**4 - 515*t**3 - 430*t**2 + 1740*t - 360 = 0.\nAnswer: -3, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1289679291 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**(-2\/15)\/((n\/((n*n\/(n\/(n**(-5)*n)))\/n))\/(n*n**(-2\/5)\/n)) assuming n is positive.\nAnswer: n**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 455 + -236. Suppose -5*r - 2*g = j, 0 = 4*g - 9*g + 15. Let x be -9*(-6)\/r*6750. What is x rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h*v*w**3 + h*v*w - 42*h*v - 30*h*w + 2*v*w**3 + 1451*w**2 - 3*w wrt h?\nAnswer: -2*v*w**3 + v*w - 42*v - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*q = 169*q + 98*q + 158*q + 5548 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -5*g**4\/24 - g**3 - g**2. Suppose -5*l = -7*l + 3*v - 8, 3*v + 4 = -l. Let p(m) = 11*m + 13. What is l*p(z) - 9*n(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*t, 11*t - 9*t = -3*c + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-6) - (-4)\/(-6). Suppose -t*i - s + 13 = -9, 0 = 2*i - 4*s. Find b, given that b**5 + 2*b**5 + 2*b**3 - b**5 - 4*b**i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -174*h**2 + 6*h - 4. Let m(q) = 176*q**2 - 5*q + 3. Give -5*j(k) - 6*m(k).\nAnswer: -186*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from rkedzakra?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 + 164.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let n(q) = -1538*q - 819. Calculate n(a(s)).\nAnswer: -1538*s - 819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y + 5. Let f(s) = 2*s + 2. What is -3*d(a) + 7*f(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8660367377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 1 + 15\/(-5). Let q be ((-36)\/(-15))\/(3\/d). What are the prime factors of (-16)\/q*71\/2?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f + 5 - 6)*((-2*f - f - 3*f)*(-6 + 3 + 4) - 3*f - 5 + 5 - 9*f - 105 + 105 + f - 2*f - f).\nAnswer: -20*f**2 + 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 a factor of 8697534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:14 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 8*j**4 - 74161*j**3\/2 + 300827*j**2\/2 + 435320*j - 27786 = 0?\nAnswer: -2, 1\/16, 6, 4631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 960906 and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1750 divide 2274812679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/314 (b) 2\/11 (c) -2\/3 (d) -60 (e) -2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - 2*k + k)*(-269 + 681 - 275)*(4*k + k - 3*k) to r + v*k + u*k**2 and give u.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 3. Suppose -z + s = -2, 0 + 2 = -z - s. Let m be x(z). Let b(d) = 0*d**3 + d**m - 7*d**2 - 8 + 3*d - 4*d + 8*d. Determine b(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 1 - 5*j + 7*j. Let o be l(-4). What is the second derivative of -28 - o*a + 28 + 4*a**5 + 3*a**5 wrt a?\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 20, -2*a + 42 = 4*u - 12. Suppose -5*w + 33 = k - 0*w, 3*k = w + a. Calculate the remainder when k is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-15 - (4 - (19 - (13 + -4)))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*d + 4 = 0, -6 = -3*q - 183*d + 180*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i**2 - 21*i + 34. Suppose -9*f = -26*f + 119. What is the units digit of a(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three thirds of a week?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669390193?\nAnswer: 3299, 202907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - g - 3*g)*(7414 - 1182 - 31863 - 30848 - 10773)*(2 - 3 - 1) in the form u*g + s and give u.\nAnswer: -134504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-64596)\/56*(-4 + (-8)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 2339, -1\/2, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9063479.427 to the nearest 10000.\nAnswer: -9060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2224, -4351, -6480, -8611, -10744?\n\"Answer: -v**2 - 2124*v - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 12*d**2. Let b be c(12). Suppose b = -5*a - 4*x + 194, 0*a - 2*x + 76 = 2*a. What is the remainder when 123 is divided by a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((576\/7)\/(-6))\/((1\/21)\/((-384)\/864)).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/(d*(d\/d**(-1\/2))\/d))\/d)**(-45)\/(d**1)**42 assuming d is positive.\nAnswer: d**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d + 732. Let v(t) = -2*t + 126. Let h(x) = -6*f(x) + 34*v(x). Let n(y) = 2*y. What is n(h(i))?\nAnswer: 8*i - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4*n*t + 15*b**4*n + 2*b - n*t - 22*n - 7*t wrt b.\nAnswer: 12*b**2*n*t + 180*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*g**2 + 22 + 6*g + 3*g**3 + 5 + 39*g.\nAnswer: 3*(g + 1)*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 155 = -5*j, -90 = -j - 3*a - 23. Calculate the highest common factor of j and 14520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.5, 72\/7 in decreasing order.\nAnswer: 72\/7, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + 2*j - j)*(-3 - 1 + 2) - 1 + 1 - 2*j)*(-4*j + 3*j - 3*j)*(226 + 320 - 7).\nAnswer: 8624*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**3 - y**3 + 2*y**3)*((-2*y - 3 + 3)*(3 - 1 - 1) + 1 - y - 1 - 2 - y + 2 + 0*y - y - 2*y) in the form b*y**2 + v + s*y + a*y**3 + f*y**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -32*x**5\/5 + 33*x**4\/4 + 96*x**2 - 2*x. Find the second derivative of g(f) wrt f.\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (396 + 709 - 144)*(-4*p + 4*p + 3*p**3).\nAnswer: 2883*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + m - 2*m + (0*m - 3*m + 5*m)*(0 + 1 - 3) - m + m + 2*m + (-3*m + 3*m - m)*(3 - 5 + 1) + (2*m + 0*m - 4*m)*(-10 - 11 + 28).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-900)\/(-63) + -9 - 2\/7. Let l(z) = -4*z**3 - z**2 + 5*z - 2. Let y(d) = -d**3 + d. What is q*y(x) - l(x)?\nAnswer: -x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y + 3. Is 466 - (2\/(-2))\/(y + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20106*t**5 + 108449*t.\nAnswer: 402120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6903479 divided by 6061.\nAnswer: -1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 1, f: 3, c: 1}. Give prob of picking 1 q and 1 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, t: 6}. Give prob of picking 2 t.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - 1. Let i = r + 19. Suppose 5*x + 68 = 2*m, i*m + m - 2*x = 80. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31527 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**4\/24 + 2*d**3 + 11*d**2. Suppose -38 = 4*x - 5*k, 31 = -3*x + 2*k + 3*k. Determine m(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 21 = 9*d - 3*b, -2*d = -3*b - 17. Suppose -a = -2*t + 4*a + 18, d*t = -a + 14. Solve -5 - 7 = -t*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 11*f - 4*f**2 + 0*f - 2*f**2 + 3*f**2 + f**2 + (0 + 2*f + 0)*(0*f - 2*f + f) + f - 3*f**2 - f)*(-f - 2*f**3 + f).\nAnswer: 14*f**5 + 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 283?\nAnswer: -2547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.76 + 11.76. Put 1, 36\/5, 5, c in ascending order.\nAnswer: c, 1, 5, 36\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 159*i + 415. Is 33 a factor of d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/11 - 10\/55. Let s = 26\/5 - 239\/45. Let b = -22\/45 + s. Which is smaller: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17359\/9 + 1929. What is the closest to 1 in -2\/35, -0.1, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6*j - 2*j = 21, -5*d + 2*j + 9 = 0. Suppose 2*f = d*f - 1543. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 - 16 = 0. Suppose 0 = -r + u - 6, -j*u = 3*r + 2 + 4. Let a = r - -4. Solve -t = -a + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 7:57 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.437 - -1.537. Is -1429 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 13*c**2 - 1410*c + 22405. What is i(35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - d = -2, -2*d = -k + d - 16. Let m be 0\/1 - (2 + 4 + k). Put 3, m, -7 in descending order.\nAnswer: 3, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -3\/4*r**4 + 1\/2*r**2 + 4\/3*r**3 - 140 + 0*r. Let z(y) = y**3 - 2*y**2. Determine 2*u(n) + 5*z(n).\nAnswer: -n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3021706 to the nearest integer?\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20*-6*4\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 60*p. Let a(n) = -4*n**2 + n**2 + 0*n**2 + 2*n**2. Give v(a(t)).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2. Let j(y) be the second derivative of 0 + 79*y + 0*y**3 + 47\/12*y**4 + 1\/2*y**2. Calculate k(j(v)).\nAnswer: 4418*v**4 + 188*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m + 27. Let r be x(3). Suppose 24*d - r*d - 45 = 0. Put -3, -1, -6, d in descending order.\nAnswer: d, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) - -2*sqrt(192) - -1*sqrt(108).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -1212a?\nAnswer: 12135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 16*f**2 - 18*f + 52. Let h = -409 - -427. List the prime factors of g(h).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8629*b**3 + 4313*b**3 + 3*b + 4310*b**3. Let u(n) = -11*n**3 + 5*n. Suppose 0 = -2*t + 5*w - 15, 3*t = -2*w - 0*w - 13. Calculate t*m(q) + 3*u(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2453 is divided by 143?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*u**4)*(0 + 0 - u) - 3*u**5 - u**5 + 3*u**5 - 22*u**5 + 10*u**5 + 3*u**5.\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 11*g - 9. Let r(b) = 11 - b**3 + b**2 - 5*b**g + 5*b**3 - 5. Let i(a) = a**3 + 3*a**2 + a - 2. Let f be i(-2). What is r(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 - b44282?\nAnswer: -b4425b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29184665 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/(-6))\/(2\/(-96)). Let k = -144 - q. Suppose 26 = 5*p - k. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27727*c**2*n**2 - 156438*c**2 + 2*c*n**4 wrt n?\nAnswer: 55454*c**2*n + 8*c*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**9\/u)*u**(-1\/4))**(20\/11)*((u*u**(-1))**25)**(-2\/15) assuming u is positive.\nAnswer: u**(-145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 546 = -2*j, 4*j + 1108 = -0*j + 2*v. Is j smaller than -274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -457*n + 1384. Determine l(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, 135, 1 in descending order.\nAnswer: 135, 1, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.683348cm?\nAnswer: 6833.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12541 - 0.086.\nAnswer: -12541.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100913.857 - 100960. Let u = 4.403 + i. Let z = 41 + u. What is z rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*x - 22 = 0, b - 36*x + 17*x = 42 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 568577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239 is divided by 144?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, y: 3, e: 2, c: 13}. Give prob of sequence yce.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*n - 4*o, -32*o = -4*n - 29*o + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2003605 or -14025238\/7?\nAnswer: -2003605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 27 - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/10)\/(567\/(-5670)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 45*b - 81 - 82 + 336 + 60*b - 90.\nAnswer: 105*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*f = 103320 + 67320. Does 31 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 2*i - 2*i)*(4*i - 4*i + 3*i) - 11*i**2 - 9*i**2 - 18*i**2 to f + v*i + s*i**2 and give s.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1667 + -1670. Let z(d) = d - 12. Let p(w) = w - 12. What is i*z(g) + 4*p(g)?\nAnswer: g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 2)\/(35\/70*12\/30)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 261447963 and -0.1?\nAnswer: 261447963.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/228 and -7\/38.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -97, -387, -863, -1519, -2349?\n\"Answer: n**3 - 99*n**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/19)*(r\/r**(-2\/43))\/r)\/(r\/r**(-3\/8))**25 assuming r is positive.\nAnswer: r**(-218523\/6536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.2. Let q be (-3)\/(-24)*(0 + -2). Which is the second smallest value? (a) q (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*5)\/sqrt(11).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 386 - 321. Calculate the highest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 11 - (-8 - -3) - (-8 + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 1052?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122.027 + 0.773. Let d = -123 + x. Sort d, -0.5, -3\/4, 2 in decreasing order.\nAnswer: 2, d, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/154)\/((-4)\/(-22)*18172\/(-8673))?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2012.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*v - 3118 + 3302 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5390*h**2 + 37*h + 4. Let g(y) = y**2 + 13*y + 1. Give d(t) - 3*g(t).\nAnswer: -5393*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n - 7448 - 2871. Suppose 3024 = -5*m - 4*k, -1810 = 3*m + 2*k + 6. Is m smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147729, 147737, 147747, 147759, 147773, 147789?\nAnswer: 147807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = -3*g. Let s = -2 + 4. Suppose -w - 1 = -0*j + 5*j, 0 = -s*j - 4*w - 4. Sort g, j, -5 in ascending order.\nAnswer: -5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1*55*6\/15 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 18\/(-4))\/(298881\/(-81513))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1321.1 times 1\nAnswer: 1321.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = q. Let s = 5 + -36. Let d = -29 - s. Calculate the smallest common multiple of d and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - n + 290. Suppose 0 = -2*t - 10 + n. Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20.3399 and -4.\nAnswer: 16.3399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 1, y: 2, i: 1, a: 2}. Give prob of picking 2 y and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4168011 times 2?\nAnswer: 8336022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14275 divided by -2855\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19\/2 - -41\/4. Let h = w + -13\/12. Let f = -2\/553233 + 122944\/922055. Which is the second smallest value? (a) h (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/((-1)\/64). Let a = 58 + j. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2332742.9 + -3.26\nAnswer: 2332739.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 537, 1075, 1613, 2151?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 59, -3 in decreasing order.\nAnswer: 59, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*k = -610 + 53, -5*x - 2*k + 963 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 14*p - 18. Let s(f) = -f**3 - 3*f**2 + 2*f. Calculate the least common multiple of s(-4) and w(6).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 10*f**2 - f + 2. Let c(o) = -o**2 + o. Let j(i) = -2*c(i) + h(i). Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 9:31 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321518063.\nAnswer: 109, 2949707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -134831*p**2 + 389*p + 166 wrt p?\nAnswer: -269662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 7*b**2 - 8*b + 2. Let c be s(8). What is the common denominator of (-884)\/(-36) - c\/9 and (3\/12)\/(2\/(-53))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136247295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from breeqb. What is prob of sequence eqr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199 - -201. Let h be (-2)\/4 - 27\/(-6). Suppose 0 = 5*a - 3 - 12, j*a - 74 = -h*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - k = -148, 0*k + k = 4*c - 122. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/((-16)\/(-12)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**5\/5 - m**4\/2 - m**3 - 499. Factor x(u).\nAnswer: u**2*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -15 + 21 + (0 - -1) + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/15 - 36791\/(-15))\/(72\/1260) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 19500470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 3, r: 2, i: 1, f: 9}. Give prob of picking 3 d and 1 w.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2482116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = 5. Let a = -6 + f. Suppose 4*i = 5*j - 76, -171*i = j - 170*i + 1. Calculate the least common multiple of a and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(4\/3)*w*w**6)\/(w*w\/w**5*w*(w*w**4*w*w)\/w))**(-1\/5) assuming w is positive.\nAnswer: w**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9458800.\nAnswer: 2, 5, 13, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1455 divide 23364390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 4*q + 3*q)*(-39*q + 31*q + 54*q).\nAnswer: -92*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*q + 10 = 0, q + 0*q + 9 = -3*h. Let l = 2 - -1. Suppose l*z = z. Is h equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*x - 23, 5*x - 2*n = 41 - 14. Suppose -11 = -3*w + 2*k - 4*k, x*w + 2*k = 13. Sort 2, w, 7 in descending order.\nAnswer: 7, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 995, 2264, 4029, 6284, 9023?\nAnswer: 12240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 33*z + 11*z + 103*z)*(2*z + 0*z - 3*z) to the form s + v*z**2 + o*z and give v.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3, -6\/401?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669324.\nAnswer: 2, 3, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 707246621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13186 and 317158.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1)\/g)**4\/((g**(-1\/15)\/g)\/(g**(1\/2)*g*g*g)))**22)**(-2\/35) assuming g is positive.\nAnswer: g**(2266\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*m = -8, 97*k - 4*m - 4 = 101*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 5*k + k + (-k + 0*k + 3*k)*(-5 + 4 - 1) + 5*k - 3*k - 3*k + k - 2*k + 0*k)*(-4621 - 1339 - 73) to the form w + z*k and give z.\nAnswer: 24132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -18bd?\nAnswer: 18bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24505541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 3328?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssaoojsssvses. Give prob of picking 1 v, 1 e, and 1 j.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104355206, 208710414, 313065622, 417420830?\nAnswer: 521776038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3424.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 86 = 5*d + 75, 5*m = 2*d + 476. What is the lowest common multiple of m and 343?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 574983989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 11 = -k, -2*k = -5*k + 5*i + 101. Is 28 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + 14*w - 14*w. Let j(c) = 5*c**2 + 8*c + 8. Let f(b) = 0 + 5*b + 0*b**2 + 3*b**2 + 5. Let g(s) = -8*f(s) + 5*j(s). Calculate g(r(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 70\/(-21)*(-12)\/5?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -17. Let v = -3 + q. Put v, -4, 6 in increasing order.\nAnswer: -4, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/7)*l*l*l*l*l*l**(-4\/5)*l)\/(l\/(l**(1\/22)*l)*l*l**5) assuming l is positive.\nAnswer: l**(-1241\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -27403?\nAnswer: 13701.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 583 + -614. What is the third biggest value in 4, 0.1, 1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/27 + 43\/27. Let g = -2186 + 10932\/5. Which is the smallest value? (a) g (b) -6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*m**5 - 4\/3*m - 10\/3*m**2 + 2\/3*m**4 + 0 - 2*m**3.\nAnswer: 2*m*(m - 2)*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*o - 16 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 19. What is the lowest common multiple of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122800, 123483, 124166?\nAnswer: 124849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14967.45399894 + -14966.434. Let l = -1.02 + w. What is l rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 14 + 5 - 14 + 17 to v*a + y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/7 (c) 3 (d) 2 (e) -203 (f) 62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1164, -1762, -2346, -2910, -3448, -3954, -4422?\n\"Answer: z**3 + z**2 - 608*z - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -23*t**7\/42 - 10*t**3\/3 - 14*t. Find the second derivative of y(m) wrt m.\nAnswer: -460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-63) - 2\/7. Let p = -0.71 - 28.29. Let m = p - -29.1. What is the nearest to -0.1 in 0, m, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347591586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0716810131 to 5 dps.\nAnswer: -0.07168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16308 + 16310. Factor -6\/11 + 2\/11*n**t - 4\/11*n.\nAnswer: 2*(n - 3)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (69 - (18 + (-7 - -8))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.16 + 0.82. Let k = o - -0.02. What is the closest to 0 in 1, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 351726.\nAnswer: 1758630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9\/46 (b) -0.3 (c) 76 (d) 1\/10 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 12, 1, -16, -39, -68, -103?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10301823 and 16188579?\nAnswer: 113320053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -24. Suppose 4*w - d = -18. Put 0, 3, w in descending order.\nAnswer: 3, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 + 51. Let y = -583 - -582.6. What is the third smallest value in 0.4, g, -2\/13, y?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 3 - 25 + (4 + 0 - 2)*(3 - 1 + 0))*(-1 - 13*t + t - 80*t) to v*t + y and give v.\nAnswer: 3956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 43*c + 296. Let y be (-1560)\/90*(-3)\/4. What is the units digit of r(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3)\/(-8*(-30)\/320).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69260 is divided by 69259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*u - 3. Let k = 6 + u. Suppose k*j = -0*j + 33. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.049 + -4.049. Let q be (-1)\/(-2) - 42\/(-168). Put 0, i, q in decreasing order.\nAnswer: q, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*p, -2*j + 2*p - 7*p = 0. Let z be 6 + -1 - 2\/(-2). Suppose 3*q + z*y - 2*y - 24 = 0, -q + 2*y = 2. What is the biggest value in j, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 900\/(-54)*((-609)\/58 + 12)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184893?\nAnswer: 3, 61631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3024 and 348?\nAnswer: 87696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p = 3*v - 1, 4*v - 24 = -3*p. Let s be -4*(-2 + 3\/2). Suppose -30 = -v*w + s*c + 14, -28 = -2*w + c. Solve -2*z - w = -6*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y + 3. Let x be h(5). Suppose -d - x + 2 = 0. Calculate the common denominator of d*5\/9*6 and 71\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gigdggigggdggbgi. Give prob of picking 1 i and 1 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(1377) + sqrt(1377))*5)**2.\nAnswer: 4957200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-10))\/((98\/(-35))\/7). Solve 4*k - 3 = 1, -4*x = -m*k - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*j - 84, 4*j + 3*s = 16 + 61. Let f be 9\/5 + 4\/j. Solve -f*u = 3*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -13*n**2 - 11*n - 7. Let z(f) = 4*f**2 + 4*f + 2. Determine -2*v(i) - 7*z(i).\nAnswer: -2*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-441*f + 40*f + 11 - 11 + 73*f)*(0*f + 0*f - 2*f**2) to d*f**3 + x + a*f + b*f**2 and give d.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2840141a - 0?\nAnswer: -2840141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 272 - 237. Suppose -2*m - 2*m - 76 = 5*b, 0 = 2*m + 5*b + 38. Let j = 24 + m. Solve -j*y + h = 5*o, 4*y + 13 = 4*o + 5*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -18. Let d(q) be the third derivative of -1\/60*q**5 - q**2 + 0*q**3 + 0*q + 0 + 1\/120*q**6 + 0*q**u. Find the third derivative of d(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29187 to 2 dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1. Let c(k) = 9*k**2 - 4. Give -3*c(n) + 12*j(n).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*2)\/(-1*sqrt(4)*-5) + (4 + (sqrt(324)\/(sqrt(24)\/sqrt(2)))\/(-6*(sqrt(9)*1 + sqrt(9) - sqrt(9))))**2.\nAnswer: 4*sqrt(3)\/15 + 193\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541034862?\nAnswer: 2, 3, 1291, 69847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 23683701?\nAnswer: 2\/23683701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68 less than -188?\nAnswer: -187.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1526602 and 45686?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 - 1) + (-1146 - -1117)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = n - 0, q + 2*n = 8. Let h be (2 - 0) + (1 - q). Solve -4*c = -h*l + 9, 0*l - 3*l + 6 = -3*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -516*u**3 - 7*u**2 + 9*u + 114. Is y(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7322 and 73522294?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12*b**2. Let z(r) = 272*r. Calculate z(h(d)).\nAnswer: -3264*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:25 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13*j. Let a(i) = 3*i**2 - 13*i**2 + 8*i**2. Calculate a(t(r)).\nAnswer: -338*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 217619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104.9 - -120. Let a = d + -15. What is the closest to a in 9, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -16 in descending order.\nAnswer: -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7400.783 decades in months?\nAnswer: 888093.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 19*w - 4. Let h(y) = -9*y + 2. Determine 5*h(i) + 2*u(i).\nAnswer: -7*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 28548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94106, -187870, -281628, -375380?\n\"Answer: 3*g**2 - 93773*g - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 13, m: 3, b: 2}. Give prob of picking 2 m and 1 y.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/45)\/((-72)\/54).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*q = -8, -2*q - 2*q = 2*s + 6. Let b be s + (-2)\/(-2) + 22. Let l = b + -18. Calculate the remainder when 11 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h\/h**(-1\/2))\/h)**(-1\/10))**(-4) assuming h is positive.\nAnswer: h**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78351597588 - 0.5.\nAnswer: -78351597588.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-10)\/d)\/d**4)**(3\/2) assuming d is positive.\nAnswer: d**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihqi when four letters picked without replacement from iiiqsiqiihiqqqiiqqsq.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, d: 12}. Give prob of sequence nd.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/18 + (-4)\/(-3). What are the prime factors of 3*(x + -2 + 4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 326*v**5 - 53*v**4 - 972*v**3 - 627169714*v**2.\nAnswer: 19560*v**2 - 1272*v - 5832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 14*h**2 + 13*h - 16. Give d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b - 2. Let f(y) = y. Give 6*f(l) + q(l).\nAnswer: -5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 3608954*s\/3 - 4811944.\nAnswer: (s - 4)*(s + 3608958)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.993 - 423.293. What is k rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**4\/4 + 4*z**3\/3 + 4*z - 2. Suppose -5 = 2*m - 13. Let b be p(m). Solve 15 = 2*r + r + b*t, 5*t = 5*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(15\/(-12)) - 0. Let o = 4 - c. Suppose -3*i + 175 + 584 = o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18402 and 285231.\nAnswer: 570462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1657 + 1662. Solve -5*n = r - p, 10*r - 6*r + n - 20 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4039889 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -54*w**4 + 39*w**3 - 75*w**2\/8 + 3*w\/4 = 0.\nAnswer: 0, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v*v*v**12*v*v)**(41\/4)\/((v**0)**(-33))**(-46) assuming v is positive.\nAnswer: v**(369\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 355752854 to the power of 1\/2, to the nearest integer?\nAnswer: 18861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*c = -40*c - 135. Suppose -8 = -2*r + 14. Calculate the lowest common multiple of r and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*x + 2*x - 24, 4*b - 28 = -5*x. Suppose 0 = b*i - i - 2. Suppose i = m - 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 230780.9 to the nearest 100.\nAnswer: 230800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 92 + 152 = 0. Determine v, given that -3*v**2 + 25 - 26*v - 25 - x*v = 0.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 113 - 2*l**3 + 34*l - 113 + 4*l**3 - 3*l**3 + 0*l**3 + (0*l - 2*l + 4*l)*(3 - 3 + l**2).\nAnswer: l**3 + 34*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 321, 576, 955, 1470, 2133, 2956, 3951?\nAnswer: 5130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/((3 - 1) + -4). Suppose 5*i + 12 = 4*j, -5*i + i + 9 = r*j. Solve 4*t - 9 = 5*o, 4*t - o + 5 + 6 = i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -204*l + 4 + 5*l**2 + 409*l + l**3 - 203*l. Suppose -1 = 2*q - r + 14, 3*r = 15. What is m(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**2 + 5*w + 7. Let d(s) = -5*s**2 - 5*s - 6. Determine -5*d(g) - 4*q(g).\nAnswer: g**2 + 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28706*p - 35026*p - 16189 + 3549 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = -i, 3*z + 5*i - 10 = -39. Let q(t) = 21*t + 6. Let p(w) = -14*w - 4. Let x(c) = -7*p(c) - 5*q(c). Is 7 a factor of x(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46392629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (24\/6 + -7)*-4 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/2103 + 145127\/42060. Calculate the common denominator of g and (-44)\/6*(-81)\/24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, n: 2, z: 1}. Give prob of sequence xzx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 3414527520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2131 is divided by 1542?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33226 is divided by 84.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3139265, -3139282, -3139297, -3139310?\n\"Answer: o**2 - 20*o - 3139246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2214092*g**3 + g**2 + 1122820*g wrt g.\nAnswer: -13284552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 1. Let s be y(-1). Suppose s*n + 7 - 75 = 0. Let h = n - 8. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*w = 393*w - 55 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 - 0.7. Let g = 25 + -25.3. Which is the closest to -1? (a) -0.1 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -18. Suppose -534 = -2*q - 4*k, 141 + 393 = a*q - 2*k. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 86080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*w = -6, -5*d + 4*w - w + 15 = 0. Let p be (32\/3)\/(1\/d). Let h be (-1)\/28 + (-8)\/p. Which is the second biggest value? (a) 5 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (1418\/4)\/(1\/2). Let k = 867 - u. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 52. Calculate the greatest common factor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46449 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/15*2*(-4)\/(408\/(-15)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k - 28. Let f be w(7). Let a = f - 95. Sort a, 1, 2, -5 in descending order.\nAnswer: 2, 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-11)*(45 - ((-357)\/(-14) + 20)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 155 = -159. Let n(r) be the first derivative of 6*r**p - 3*r + 1 + 3*r**4 - 6*r**3 - 3\/5*r**5. Let n(k) = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y. Let a(i) = i**2 - 13*i. Let p(q) = -a(q) - s(q). Suppose 5*o = -3*r, 3*o = -0*r - 2*r + 1. Let b(j) = -j - r*j - 1 + 5. Calculate p(b(h)).\nAnswer: -36*h**2 + 48*h - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.724 - 0.276. Let d = -4 - -10.2. Let t = d + -3.2. Which is the second smallest value? (a) t (b) 0.008 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77472 by -6718.\nAnswer: 38736\/3359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 5*u. Give h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/10 - (-52 - 2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 9, -5 in ascending order.\nAnswer: -5, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s - 32 = -47*s. Let m(f) = -7*f + 4. What is m(s)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2245, 2252, 2255, 2254, 2249, 2240?\nAnswer: 2227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47985 - 47978. Let y(n) = 0*n + 6 - n - 2. Calculate y(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**7\/2520 + f**4\/8 - 2*f**2. Let p(t) be the second derivative of l(t). Let d(k) = k**2. What is p(d(x))?\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzr when four letters picked without replacement from zjsjrzfrd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5677 = 2*v + 7637, -2*v - 5*m - 13293 = 0. Let h = v + 66593\/10. Let g = -1\/461 - -38265\/922. Calculate the common denominator of h and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -157166, -314297, -471428, -628559, -785690?\n\"Answer: -157131*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/8)\/i*i)\/(i\/i**(3\/4)))\/((i*i*i**(2\/17)*i*i)\/i**5)*(i**(3\/5)*i)\/(i*i*i**(-5)*i)*(i**(2\/13)*i)\/i*i**(-1\/3) assuming i is positive.\nAnswer: i**(97537\/26520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -127.731*-0.47\nAnswer: 60.03357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 118*5 + (20 - 18). Calculate the greatest common factor of v and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 22706 in increasing order.\nAnswer: -2, 1, 22706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 + -92. Solve -2*m + 0*m = o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000370924227 rounded to 6 decimal places?\nAnswer: 0.000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470250381 to the power of 1\/2, to the nearest integer?\nAnswer: 38344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let g(q) = 3*q**2 + 9908 - 10008 - q**2. Calculate r(g(m)).\nAnswer: 2*m**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/847 (b) -5 (c) 0.6 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423353000 by 537250.\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9485*t = 9495*t - 1450. Calculate the remainder when t is divided by 79.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c + 4. Let h(g) be the first derivative of -9*g**2\/2 - 5*g - 85. Determine 3*h(s) + 4*u(s).\nAnswer: 5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 27. Let n be u(-11). Suppose -n*h + 299 = -1. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) - (1*sqrt(95) + sqrt(95))*4))\/(sqrt(480)\/sqrt(6)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.343 + 2.865. Let p = z - -0.452. Let g = p - 0.26. What is g rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*t - 61 + 208*t - 7*t**2 - 2*t**3 - 124*t to g + l*t**3 + j*t**2 + n*t and give g.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-306)\/85*295\/236?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -1 - 4, 0 = -v - 3*d + 6. Solve -6 = v*r - r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsdh when four letters picked without replacement from {a: 1, m: 2, z: 1, d: 1, s: 2, h: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 + -10 + -2 + 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 0*l + 0 - 11\/24*l**4 - l**3 - 3*l**2 - 1\/60*l**5. Is 7 a factor of j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**4 + 32*v**3 + 121*v**2 - 43904*v wrt v?\nAnswer: -24*v**2 + 192*v + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 7820*v**2 - 7820*v**2 + 14*v**3 + 14*v**3.\nAnswer: 26*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(144)\/(sqrt(3) - 2*sqrt(3)))**2 - (5*(sqrt(33) + sqrt(66)\/sqrt(2)))\/((sqrt(22)\/sqrt(2) + sqrt(11) + sqrt(11))*4 - sqrt(11))) + 1 + -4.\nAnswer: -10*sqrt(3)\/11 + 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + n = -15, -321 - 65 = 4*z + 15*n - 139 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 3. Let g = 9.05 - 6.05. Which is the closest to 2\/3? (a) v (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 6:09 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3770 rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/((-69)\/(-46)). Let p = 49 - z. What is the highest common factor of p and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:34 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 82, 117?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1033 + -829. Calculate the remainder when l is divided by 110.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 20*p**2 - 48*p.\nAnswer: -2*p*(p - 6)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 5. Let x be q(7). Suppose x*o + 4 - 1 = c, 3*c - 5*o - 8 = 0. Is c greater than or equal to -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 11 = -2*z, z - m = 2*m + 17 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 1414340*c - 9900282.\nAnswer: -2*(c - 707163)*(c - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 266 and 28.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9176240279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.98 + 19. Let q = h - -1. Let r = -0.058 - q. What is r rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*z - 67, 249*o - 2*z - 11 = -260*o + 508*o + 16 - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/4 - 12077*p**4\/4 + 9087124*p**3 + 173698551*p**2 + 146422080*p - 329204736 = 0. Calculate p.\nAnswer: -18, -2, 1, 6048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 - -0.23. Let f = i - -14.5. Let c = f + -17. What is the third biggest value in c, -2\/11, -1\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/5))\/(z*z**(-1\/10)) assuming z is positive.\nAnswer: z**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -0.314.\nAnswer: -5.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22682 + 16?\nAnswer: 22708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.83 take away -1927?\nAnswer: 1972.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 8. Suppose q = o + o. Suppose -5*z - i + 6*i - 10 = 0, z + o*i = 3. Let l(s) = -10*s**3 - 2*s**2 + 1. Calculate l(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -2, -347 in descending order.\nAnswer: -1, -2, -5, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**5\/2 - 1893*p**4\/2 + 153120*p**3 - 804450*p**2 - 121086000*p = 0.\nAnswer: -24, 0, 35, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 158, -8, -1 in descending order.\nAnswer: 158, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/15)\/u*u**(1\/6))\/(u\/(u*u*u**0))**(-1\/5) assuming u is positive.\nAnswer: u**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - i. Let z(f) = 6*f**2 + 2*f. Calculate 5*g(n) - z(n).\nAnswer: -n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/((-3)\/(-8)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + 2. Let i = t - 2.49922. Round i to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2591 + -17b8a?\nAnswer: -155c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23 - -2.77. Let i = -43 - -130\/3. What is the second smallest value in i, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 95 + 3 = 0. Let m = 1898 - 1886. What is the remainder when b is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 1072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.017 + -0.083. Which is the second biggest value? (a) 1\/4 (b) -0.5 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279984 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:07 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5 - 19*o + 5 + 5*o. Let u = -629 - -631. Determine s(u).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.98812053 + 0.81187974. Let h = q - 5.8. What is h rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 421 - 420. Let x(n) = -n**3 + n**2 + n. Let b(i) = -5*i**3 + 3*i**2 + 4*i. Suppose l - 5*l = 16. Let v(t) = f*b(t) + l*x(t). Factor v(u).\nAnswer: -u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407635, -407613, -407575, -407521, -407451?\nAnswer: -407365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184454946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.62 (b) 0.2 (c) -6 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57408)\/3328 + (-1)\/(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6\/(-24)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.41 * 7.\nAnswer: -9.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8005060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 150?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -100111101?\nAnswer: 101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 9274 = -6251. What is the greatest common factor of 69 and s?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/342 and 167\/570.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*i = -4*y - 1, 5*y + 11 = -3*i. Let w be 69\/(-60) - 45\/(-60). What is the closest to y in w, 2\/5, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1742 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 202*g**2 - 2*g + 19089 - 201*g**2 - 19083. What is b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12999 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2195 - 2204. Sort -1\/4, 0, j, 2\/5.\nAnswer: j, -1\/4, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1876645 divided by -1876645.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a7 (base 12) to base 3.\nAnswer: -12022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*a**3 - 127728*a**2 - 128303*a**2 + 251002*a**2 + 4*a**4 wrt a.\nAnswer: 96*a + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w**2 - 180589184 + 180589184.\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52903569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 15*a**2 - 6*a - 86. Determine k(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 85*v**2\/2 - 2*v - 1. Let h = 19 - 16. Is i(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 2*c - c + 2*c - 6*c + 2*c - 2 + c + 2 + (-4 + 5 + 1)*(c + c + 0*c) - 3 + c + 3 + c + c - c + c + 0*c + c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -5b7?\nAnswer: 5be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -70752438998+0.1155\nAnswer: -70752438997.8845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 988764044 to the power of 1\/4, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 9. Let s be ((-21)\/6)\/a*30. Solve 4*f + 1 = -s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2776 or -1394?\nAnswer: -1394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q - 28. Let i(s) = -4863*s. Determine i(z(m)).\nAnswer: 34041*m + 136164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-11475)*25 + (-2)\/153*-93?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + 3*w - 2 = 0, -5*w - 22 = -3*q. Solve 4*d + 3*d**3 - d**3 - q - 2 - 10*d**3 + 10*d**2 = 0.\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m*m\/((m\/m**(-1))\/m))\/((m*(m*m**(-2\/5))\/m*m)\/(m**(1\/2)*m))*(m**3\/m*m**(-4))**40 assuming m is positive.\nAnswer: m**(-731\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/12)\/(5 - (-62)\/(-12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135238284.\nAnswer: 2, 3, 3756619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 = -0, x + 3*d = 0. Let b = x - -5. What is the second smallest value in b, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:05 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, l: 5, z: 1, u: 4, c: 2, k: 2}. What is prob of picking 1 c, 2 w, and 1 k?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 827932211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 f, and 2 l when four letters picked without replacement from {b: 1, l: 2, f: 1, v: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + o**2 - o**2 - 37*o**2 + 17*o**2 + 8*o**2 + (3*o - 4*o + 2*o)*(3*o + o - 2*o) to v*o**2 + r + m*o and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - (28 + -22 - 0). Factor 27\/8*g - 45\/8*g**2 + 0 - 3\/8*g**4 + 21\/8*g**x.\nAnswer: -3*g*(g - 3)**2*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9*b**3 - 2\/9 - 2\/9*b**4 - 8\/9*b - 4\/3*b**2.\nAnswer: -2*(b + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184 - -187. Let v(p) = 3*p**2 - 2*p + 1. Calculate the remainder when v(2) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 2*f + 8. Let c(j) = -4*j + 4. Let g be c(1). Let u be d(g). Is (-5)\/((-100)\/u) + 7833\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 3*o - 21. Let c = o - -11. Suppose -4*x = -h - 2, -5*x + 26 + 8 = c*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvhu when four letters picked without replacement from vghuv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 12, -3*j = -3*g. Suppose 0 = j*p - 193 - 19. Suppose 3*u + u = 72. What is the remainder when p is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 - 43*t**2 + 3*t**2 + 21*t**2 as n*t**2 + z*t + m*t**3 + a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1.30684?\nAnswer: -3.92052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 4*j + 1. Let n = -5 + 3. Let d be h(n). Suppose 5*t - 4*z - 24 = -2*z, 5*z + 15 = d*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 186 = 2*w - 337*x + 335*x, -6*w + x - 27 = -39*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1006.4 - -879.3. Round y to the nearest ten.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 + 3*t**4 + 3*t**4)*(2 - 2 - 2*t) + 4*t**5 - 3*t**5 - 3*t**5 + (2*t**4 + 39 - 11*t**2 - 39)*(t + 3*t - 3*t).\nAnswer: -4*t**5 - 11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (5 - (5 - (-7 - -12))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/(q**(-2\/17)\/q)*(q**1)**12)\/((q**(2\/3))**(2\/11)*(q**(-2\/7)*q)\/((q\/q**7)\/q)) assuming q is positive.\nAnswer: q**(1108\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29559 + 50431. Suppose 0 = -0*m - 8*m + h. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41456389 and 2119.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 8*r + 15. Solve o + 2 = j, -r*j + 0*o = 2*o + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -5*m**5\/4 - 3*m**4\/4 - 21*m**3\/2 + m**2 - 910*m. What is the second derivative of s(j) wrt j?\nAnswer: -150*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, -13, 3 in descending order.\nAnswer: 12, 3, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57882 - -3357257\/58. Find the common denominator of g and 23\/290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 4:04 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-21) + 18\/14. Let x(j) = 19*j**2 - 2*j + 1. What is the remainder when 53 is divided by x(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -60*b**2 + 720*b + 7. Determine h(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000343117452 to seven decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o**4 + 96*o**3 - 145*o**2 + 24*o + 20. Let l(f) = -5*f**4 + 32*f**3 - 48*f**2 + 8*f + 7. Let j(d) = -7*l(d) + 2*y(d). Solve j(v) = 0.\nAnswer: -1\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3482, -3558, -3634, -3710?\n\"Answer: -76*h - 3406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-1) - 1\/(-1). Let k = 0.284 - 0.503. Let q = k + 0.519. Which is the smallest value? (a) q (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Suppose 5*u = -3*x + x + 200, -h*u + 2*x = -120. Calculate the highest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 12*b**2 - b + 17. Let n be v(12). Suppose -n*l + 234 = -551. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 u when three letters picked without replacement from {q: 3, d: 1, u: 13, k: 3}.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 121960248 - 243920502 + 121960254.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1462, -2920, -4380, -5842?\n\"Answer: -r**2 - 1455*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621218 is divided by 1415?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-12))\/((-1)\/2). Let d = 923 - 931. Which is the biggest value? (a) z (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12358807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/1*(-7)\/(-21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -75.726 + 4\nAnswer: -71.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26976 and 13536?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6203.9 and 5.\nAnswer: -6198.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15*o. Let j(p) = -1914*p - 108. Let m(f) = -147*f - 8. Let y(s) = -2*j(s) + 27*m(s). What is y(l(z))?\nAnswer: 2115*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*y**3 + 20*y**2 + 26*y**3 - 5*y**2 - 15*y**2.\nAnswer: -69*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 51.5. Which is the closest to 1? (a) n (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -32 - (-2*10)\/(-5). Let g = y - -80. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 7 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*364.\nAnswer: 14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 24*j**2 - 39*j + 19. What is the first derivative of w(l) wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 524.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x. Let g be z(-1). Let p be 53*4*(1131\/(-2366))\/(-29). Let c = 12\/13 - p. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 132?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/801 and -71\/599751.\nAnswer: 53377839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 14*u + 4. List the prime factors of x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-8)*(-7)\/(-7)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96514 + 158916 = 89*w. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9886440*z**2 - 32*z**3 + 9886440*z**2 - 2*z.\nAnswer: -32*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738653150.\nAnswer: 2, 5, 14773063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4))**2*-3 + (sqrt(17) - (sqrt(51)\/sqrt(3) + 2)) + 0.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yykkyyyyy. Give prob of sequence kk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 1161 - 118 = 0. Let k = x + -41. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8240834671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 598\/(-24) + -4 - (-18)\/6. Let c = 19\/4 + u. Find the common denominator of 107\/30 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 315 + -314.9472. Let t = i - -0.2872. What is the closest to t in -4, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1320)\/36)\/(4\/(-6)). Let y = q - 44. Suppose y*f - 6265 - 3382 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 11 = 9. Suppose -h*a + 60 = a. Suppose -2*s + s + a = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4069592549.\nAnswer: 11, 17, 31, 702017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 24759802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6507503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -12 - (-24 - -32).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) 0.27 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2. Let n(b) = b**2. Let t(y) = 6*n(y) + 4*s(y). Let i be 105 - (72\/9)\/(-1). Let u(g) = -43*g**2 - 61*g**2 + i*g**2 - 36*g**2. What is t(u(w))?\nAnswer: -1458*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4681844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 36146912*m + 36146912*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -3, -5, 3.\nAnswer: -72, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.49082cm to meters.\nAnswer: 0.3849082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-34)\/(68\/26) + 6\/5)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 13}. What is prob of picking 3 f?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**1)**(-47)\/(o**3*o**(-2\/5)))**(30\/13))**(-1\/51) assuming o is positive.\nAnswer: o**(496\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14954189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. What is the third derivative of -2*a**o + 9*a**4 - 17*a**6 - 5*a**4 - 4*a**4 wrt a?\nAnswer: -2040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-8 - 1) - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 - 4*g + 4. Let h(q) = q**3 + q**2 + q - 1. Determine -12*h(f) - 3*k(f).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -u - 9. What is the least common multiple of 5 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91584 and 13392?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/(-7) - -8)*((-2)\/(-10) - (-2)\/(-5))?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22614*b*c*q**2 + 15*b*l**2*q**2 - b*l*q**2 + 20*b*q**3 - 2*b - 21051*c*l**2*q**3 - 2*c*q**2 wrt q?\nAnswer: 120*b - 126306*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1006*x**2 + 25*x - 580. What are the prime factors of q(9)?\nAnswer: 81131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from lggogbglb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218620 + 218388.527. Let h = 194 - 425. Let m = h - b. What is m rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17039 is divided by 1292.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*2*(-2 + sqrt(147)*4) + 2)**2.\nAnswer: -224*sqrt(3) + 9409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11500801 to the power of 1\/2, to the nearest integer?\nAnswer: 3391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205 + 105. List the prime factors of r.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13600 and 76543520.\nAnswer: 382717600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c - 8 = 0. Suppose -c*p + 2*n = -2*n - 4, 4 = 4*n. Suppose -2*a + 30 = 2*y, -2*a - 42 = p*y - 6*y. Solve r + 3*r = -g - y, -5*r - 20 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 124. Let k be ((-48)\/2)\/(-4) - v. Suppose -k*g + 4877 = 2*n, -3*n = -2*g - 6*n + 1942. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*3\/(-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 779*i**6 + 8*i**2 + 5 wrt i?\nAnswer: 93480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-15))\/(9\/6). What is the closest to 3\/8 in 2, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50214 - 3203*y**2 - 50214)*(0 + 3*y**2 + 0).\nAnswer: -9609*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2322 divided by -54.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 11*u + 3. Let y be g(-9). Suppose 5*h + 5*d + y = 6, 1 = -5*h + 2*d. Let j(i) = 8*i**3 + i**2 - 1. Give j(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/33 - 1)*(15840\/(-816))\/(-30).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(-3 - 4 + 5)*(-6*a - 2*a + 0*a).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 19.04391 months?\nAnswer: 0.0015869925","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Divide -1782 by 1.\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010112 + -22012?\nAnswer: -11102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*v - 1422*v + 12310 = 1675 - 90219 for v.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - k**3 - 2267*k**4 + 3*k + 2268*k**4 + 2*k**3 to the form j*k**4 + y*k**2 + f + g*k**3 + x*k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19557026 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**2*f**2 + 19*d**2*f - 2*d**2 - 67*d + 2*f**2 - 3*f - 33 wrt f.\nAnswer: -6*d**2*f + 19*d**2 + 4*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38087093.\nAnswer: 11, 73, 47431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-13 - -3) - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2076893, 2076891, 2076889, 2076887, 2076885?\nAnswer: 2076883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183 - -183.0000162. What is k rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -24. Let c be (2\/3)\/((m\/(-3))\/5). Sort c, 1, 9, -5 in decreasing order.\nAnswer: 9, c, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -26136\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42\/(-20) - -2)*(2 + 2). Let b = 0.28 - 0.18. Sort 0.4, b, l in descending order.\nAnswer: 0.4, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -99 and -781514000.\nAnswer: -781514099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2 - 132857*d + 2 + 132863*d. Let h = 13 - 6. Let q(p) = 3*p - 3*p + 4*p. What is h*q(o) - 5*i(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 1. Let c be t(3). Suppose 3*m - 2*g + 12 = 8*m, 4*m = -5*g - 4. Is c at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -695737*t**2 - 4*t - 3431576?\nAnswer: -1391474*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1352 = 15*i - 1307 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2554195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*(-14 - (-19)\/((-247)\/598)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 428 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffxrfxafrs.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (45\/40)\/(549\/122). What is the second biggest value in -33, -4, 1, a, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 75 - 39 = 0. Let y be (2\/(-5))\/((-3)\/15). Suppose -s*n = n - 5*a, -4*a + 2 = -y*n. Sort n, 2, -4, 1 in increasing order.\nAnswer: -4, 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -2*i + 3*i, -2*y + 4 = 0. Solve -2*o = b - 10, -5*b + 11 = -o - i*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -89. Suppose 0 - j = -2*q. List the prime factors of 699\/15 + q\/10.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -18 + (5 - (4 - 7)) + -46?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8476 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3085617979 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 7, s: 9}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2964\/(-4199))\/(99\/(-204)).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 35 = 8*g. Suppose -4*w + 736 = g*x + 225, -2*w + 3*x = -269. Is 29 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3 (base 14) to base 5.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**(-1\/3)*n*n))**(-19)\/(n**2)**(-1\/5) assuming n is positive.\nAnswer: n**(956\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/10 + 18*(-11)\/(-66). Let u be (1\/(-3))\/((-2)\/6). Let k = u - 1. Is k bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.2 * -4303754.\nAnswer: -35290782.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -267995\/27254 + -4\/40881. Calculate the common denominator of (-2)\/(148\/81) - 0 and n.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/7553 and -38\/7553.\nAnswer: 7553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -24*l - 132. Let f be j(-6). Suppose f*s = -6*s + 180. Calculate the smallest common multiple of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1997245915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*d = 15 + 395, -3*c - 248 = -2*d. Let z = 1\/966 - 25127\/10626. What is the common denominator of z and 1\/(-2) + (-510)\/c?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**2 - 8*y + 6. Let v be (2 + -1)*(0 - 0). Suppose -4*o - 18 = -5*g, 3*g - 33 + v = -5*o. Let j(x) = -6*x**2 - 7*x + 5. Give g*j(a) - 5*z(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*x**3 - 34*x**2 + 12509*x.\nAnswer: -612*x - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 52815*g - 8834050.\nAnswer: -5*(g - 10393)*(g - 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(266)\/(-3*sqrt(112)))\/((5*sqrt(200)*2 - sqrt(200)) + sqrt(200)).\nAnswer: -sqrt(19)\/1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**14\/b)\/b*b**39\/b*b**(-1\/2)*(b*b**6)\/b)**22 assuming b is positive.\nAnswer: b**1221","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/5)\/((-10)\/(-500)). Let b be 156 + (-30)\/(-15) + 7. What is the highest common factor of b and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 - 0.35. What is s rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5782 and 6797.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -177, -171, -167, -165?\n\"Answer: -h**2 + 9*h - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 16.5. Let r = z - -9. Sort 0.3, r, 0.\nAnswer: 0, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(0 + 0 + 1). Let d = i + -3. Does 10 divide (24 - -1)\/(2 + d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4639 - 23146\/5. Calculate the common denominator of y and -95\/1212.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 7) in base 9?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**4 + 22070*t**3 - 154300*t**2 + 242410*t - 110175 = 0.\nAnswer: 1, 5, 4407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228036 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 5 - 5)*(-33 - 46 + 12).\nAnswer: 67*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/2 + 27\/4. Let k be 2\/5 - 3\/(-5). Which is the closest to k? (a) o (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11011000100001011110000000?\nAnswer: 11011000100001011110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -190 at most as big as -190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2359154159 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20.663, 2 in decreasing order.\nAnswer: 20.663, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-15))\/((-105)\/378) - (2 + 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 13*q**2 - 15*q + 21. Let h be f(14). Let m(g) = 11*g - 3. Is m(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 605 - 363. Calculate the remainder when u is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/9 + 538250*j\/9 - 72428265625\/9 = 0. What is j?\nAnswer: 269125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159233 + -1590787\/10. Let o = -155 + s. Sort o, 2, -2 in decreasing order.\nAnswer: 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1248*l + 1277*l - 2542*l + 510 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2. Let n(r) = -r - 8. Let c(u) = -u + 2. Let f(b) = 6*c(b) - n(b). Give f(y(p)).\nAnswer: -15*p**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358024?\nAnswer: 2, 44753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/9 - (-13)\/(-4))*-1052. Let g = -257 + l. Put -5, 5, g, 4 in descending order.\nAnswer: g, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Suppose 5*o + h - 3 = k, -2*o - 3*h = -0*h + 4. Suppose 0 = -2*m + 9 + o. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.134276 + -14.865724. Let z be (-2)\/6*6\/8. Which is the nearest to 0? (a) -5 (b) j (c) 5\/4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213229 is divided by 100?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (262 - 264) + 3 + -1 + -2 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1992 - 1076. Let j = 1857\/2 - d. Suppose 5 + 0*p**4 + 25*p**2 + j*p**3 - 5\/4*p**5 + 75\/4*p = 0. Calculate p.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-10.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0093 - 0.00529. What is x rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 2*m**3\/3 - 18*m**2 + 162*m + 67. Let d(a) = 0. Calculate a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88817835863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 16*l**2 + l - 21. Let f be c(16). Let h = -1 - f. Suppose b - 6*o + 3*o + 1 = 0, -5*b - 3*o = -13. Solve -h*n - b = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*-2*sqrt(204) + sqrt(204)))\/(sqrt(24)\/(sqrt(16)\/sqrt(648))).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 0.005.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58819\/35295 - 2\/11765. Which is the nearest to 196? (a) j (b) 2\/9 (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + 1041055?\nAnswer: 1041040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8.1. Let z = 0.2 + -0.1. Let w = i + z. Which is the second biggest value? (a) 3\/4 (b) w (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2445 divided by 489.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150.84993217 - 150.85. Round m to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3200 = -2*m, -2*o - 8000 = 2*m - 7*m. Let n be 1575\/14*m\/(-3). Round n to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = k - 18, -v + k + 0 = -2. Suppose -j + v*t = -14, -6 - 8 = -4*j - t. Suppose -y + 30 = z + 2*z, j*z - 56 = 4*y. Solve -5*l - z - 9 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2153572 and 2272.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3033391 (base 13) to base 9.\nAnswer: 30371754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(1\/1)\/1. Let p be -7 - (-6 - -6 - 3). Put p, -13, r, 4 in descending order.\nAnswer: r, 4, p, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 4. Let p(g) = -8*g**2 + 4683*g + 20. Calculate p(z) - 5*x(z).\nAnswer: 2*z**2 + 4683*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - d - 6175 = 7041, -5*d = -2*y + 5268. Suppose -y = -30*x + 1136. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-nine halves of a meter?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828 divided by -914?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*1)\/sqrt(4))\/sqrt(3).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 17250276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 41962*x + 125869. What is p(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22774 + 49287. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-16) + (-5)\/(-20). Let g(r) = 3*r**2 + 4 - 5*r - 6 + m + r**3. What is g(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 10. Let f be 36\/45 + 4\/(-10). Are f and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100101101011011111 (base 2) to base 15.\nAnswer: 1de155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:50 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 148 = 176. List the prime factors of 9\/(f\/(-4)) + 21771\/27.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686 divided by -163475?\nAnswer: -1686\/163475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3201, 3201, 3211, 3237, 3285?\n\"Answer: o**3 - o**2 - 4*o + 3205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**32*j**26*j**24\/(j*j**11) assuming j is positive.\nAnswer: j**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Suppose 2*l - 4*j = -3*j + 42, 0 = 5*l + 2*j - 87. What is the remainder when l is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -13*u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6) + 6\/9. Let f be 6\/a + 0\/(-3). Suppose -3*q = -0*x + 2*x + 1, -f*x = 4*q + 3. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*n - 1011*n - 1690 = -274*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**(1\/9)\/(s**(1\/25)*s**(1\/11)) assuming s is positive.\nAnswer: s**(-434\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 k when four letters picked without replacement from blrrburbrbbbrrtk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 256 = -18*r. Calculate the greatest common factor of 2528 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**6\/180 + 2*v**3\/3 + 8. Let y(r) be the third derivative of w(r). Let f(p) = 22*p**2. Determine y(f(m)).\nAnswer: 968*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 8 + 133*i**3 + 0 + 38*i**3 + 1 as u*i**3 + g*i + s + d*i**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -5*r + w, -3*w + w = 0. Suppose 4*k + 4*p + 0 = 12, 4*k = -3*p + 14. What is the highest common divisor of k and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 11*s - 11. What is the least common multiple of 11 and c(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -0.08, 0, -453, -4, -47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000529534 rounded to seven decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**3\/3 + 2*t**2 - 2*t + 2. Suppose -2*c = 3 + 5. What is z(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 182, 351, 578, 857, 1182, 1547, 1946?\nAnswer: 2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let s(f) = f**3 + 5*f**2 + 4*f - 2. Let g be s(-4). Let d(t) = -3*t - 4. Calculate g*z(m) + d(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1034433 (base 6) to base 3.\nAnswer: -2121202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 52*g**2 - 302*g + 119. Is s(66) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7806 = 165*x + 12096 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1159790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155.39 - -1.39. Let c = 13 + h. Let n = c - -154.6. Round n to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/2*(-6)\/(-3). Let m = 8 + -7.78. Let i = m + 2.78. What is the closest to -2\/3 in i, w, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u + 40 = 0. Let w be u\/4*16\/10. Let b be ((-1386)\/495)\/((-2)\/(-5)) + 78\/10. What is the nearest to b in 1\/4, 0.1, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.1. Let y = -19.9 - -20. Which is the nearest to t? (a) -5 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v + 2*v + 7*v + v**2. Let l = 8 + -5. Let o(q) = -2*q**2 - 13*q + 1. Let t(p) = l*o(p) + 7*h(p). Give t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33449*t**2 + 33412*t**2 + 33416*t**2 - 100275*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4395417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5759 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.36 and 0.31?\nAnswer: -0.1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2408 or -189?\nAnswer: 2408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(189)*1 + sqrt(189) + sqrt(189) + 3*sqrt(21)*-3)\/((sqrt(240)*2 - sqrt(15))\/(-1*sqrt(720))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7))**(4\/11) assuming g is positive.\nAnswer: g**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120132220 (base 4) in base 8?\nAnswer: 3303650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Let z(i) = 2*i - 10. Let s be z(x). Let y(r) = r + 4. Determine y(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(3\/5)*s)\/s*s)*s\/s**(-26))\/(s**(4\/3))**(24\/11))**(3\/25) assuming s is positive.\nAnswer: s**(3876\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 136, 790, 1886, 3430, 5428, 7886?\n\"Answer: d**3 + 215*d**2 + 2*d - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (357 - 48 + 49 + 116)*(-10*v - 14*v + 18*v).\nAnswer: -2844*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 2*74\/52 - 8*9\/(-468).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 12 = -12*s. Find the third derivative of -73*d**3 - 2*d**2 + 57 - 99*d**s + 83*d**3 + 101*d**4 wrt d.\nAnswer: 48*d + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*w - 29, 4*n + 3 = w - 1. Let g be (w\/22)\/2 + (-4)\/(-264). What is the nearest to -0.1 in g, -1, 2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 7. Let f(c) = 0 + 4 - 12*c + 3*c**3 - 4*c**3 + 13*c**2. Let o be f(12). Solve r + o = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3*(-45)\/(-12). Solve -z - 3*d = -0*d + 6, -2*d = -g*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 57942.16cm?\nAnswer: 579.4216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2535 (base 7) to base 3\nAnswer: -1022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*l**5*m**2*r**2 - l**3*m*r**2 - 2*l**2*r - l*m*r**2 + 9*m**2*r**2 wrt l.\nAnswer: 5760*l**2*m**2*r**2 - 6*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70297?\nAnswer: 70297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*z = 55*z - 290016. Which is bigger: 2542 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5765, -5964, -6163, -6362, -6561, -6760?\nAnswer: -6959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1054 and 1326.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from zzlz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/56 - 2\/(-7). Let f(y) be the first derivative of 0*y + 1 + v*y**4 + 2\/3*y**3 + 1\/2*y**2. Let f(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**3 - 304*t**2 - 406*t - 21. Calculate q(52).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = 22*f - 12. What are the prime factors of f*1\/2 + (-44)\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*w)*(6*w - 4*w - w)*(-4 + 0 - 1) - 5*w**2 - 2*w**2 + 5*w**2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297129744 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19635 is divided by 89?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*n - 52*n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 5. Let i be n(-8). Suppose i*f - 8 = -f. Suppose f*u = 3*t + 41, 0 = t + 2 + 3. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 14*i - 22. Give q(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5611453 is divided by 71941?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, w: 7, y: 6}. Give prob of picking 2 w.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/12)\/(-1))\/(150\/(-600)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120618077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 6. Which is the third smallest value? (a) 3 (b) y (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*v = -8, -d + 2 = v - 3*v. Suppose -d*p - 3 = -15. Suppose -5*a + 0*a + 2*i = -551, p*i + 118 = a. List the prime factors of a.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 106545483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*3)\/(2\/(-202)). Suppose 5376 - 22318 = 86*q. Let g = q - x. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -7)*88\/(-2376). Let t = 0.7 - 1. Put 0, 5, q, t in ascending order.\nAnswer: t, 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 1956 = -15*r - 50*r - 423 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 456\/855 - (-12)\/(-10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 24*v**2 + 5*v**2 - v**2 - 2*v**2 + (-1 + 1 + v)*(-v - v + v) as d*v + o*v**2 + p and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15.4 in 5, -1, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 134 and 0.3?\nAnswer: 40.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110011 (base 2) to base 16.\nAnswer: -1f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/3 - 1324*a**2 - 2644*a - 3964\/3.\nAnswer: -4*(a + 1)**2*(a + 991)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337 (base 13) to base 11.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 35*s - s**3 - 8*s.\nAnswer: 2*s**3 - 43*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 72.8 in descending order.\nAnswer: 72.8, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12613*m + 7*m**3 - 12613*m.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) 0.07 (b) 1599 (c) 1\/85 (d) 5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 372124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, 0.4, 3, -4, 5577, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224400 (base 5) to base 3.\nAnswer: -102010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 868467340 to the power of 1\/2, to the nearest integer?\nAnswer: 29470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -56. Suppose o = -4*o + 10. Suppose -a + 6 = -0*a. Solve -o*q = -a*q + k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.1? (a) 1 (b) -1 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -61*d**3 + 47*d**2 - 50*d - 48. Let w be s(-33). Suppose -5*t - w = -59*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -25*n**3 - 150*n**2 - 13*n - 3. Determine c(-5).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22366 + -6?\nAnswer: -22374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(143))\/sqrt(11) + sqrt(13) + sqrt(26)\/sqrt(2) + 0 + 5)*-5 + 3)**2.\nAnswer: 220*sqrt(13) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -13\/30 (b) -5 (c) -0.4 (d) 167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 - 32\/(-6). Suppose -5*h + 25 = 0, -3*b + 33 = h + 2*h. Let a = 15 - b. What is the greatest common factor of a and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20024 is divided by 933?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y - 74 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 1.31.\nAnswer: -0.1441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33326317 to the power of 1\/2, to the nearest integer?\nAnswer: 5773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m = 95623 - 95875 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h = -15, 2*g - 5*h - 21 = 0. Let i be (1\/(-3))\/((-112)\/36 + g). Solve -i*n - 4 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37255 is divided by 96?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/9323 + 9309\/65261. What is the nearest to -382 in 0.4, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 34 = 40*t. Suppose v + 5*a = 13, -v - t = -6*v - a. Find the first derivative of 45 + 0*g**3 - 14*g**v - 8 + 2*g**3 wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1047 and 7741169.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*r = -9, 2*k - 39*r + 19 = -42*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90852 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9200)\/(-2000) - (-2)\/(-20))\/((1\/1)\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and 132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -405 - -2028\/5. What is the closest to -4 in -0.18, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28, 68, 128, 202, 284, 368, 448?\n\"Answer: -t**3 + 16*t**2 - t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 105115 - 105115.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 465 + -6081?\nAnswer: -5515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 12 + 8 = 0. Let z(v) = -v**3 - 6*v**2 - 7*v + 5. Let p be z(-4). Let i be -28 + (4 - n) + p. Is i less than or equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 4*a + 3. Let m be h(4). Suppose p = m*p - 32. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)\/(f*(f*f**35*f)\/f*f*f))**39 assuming f is positive.\nAnswer: f**(-7566\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(343))**2*-3 - ((sqrt(343) + -2 - sqrt(343))**2 + 2).\nAnswer: -1038 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*u**2 - 77*u + 6.\nAnswer: (u - 3)*(25*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -787.236.\nAnswer: -78.7236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/3 + 13*c\/3 + 4 = 0 for c.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 233\/5. Let i(c) be the second derivative of 2\/15*c**3 + n*c**2 - 1\/12*c**4 - 3\/100*c**5 + 0 + 5*c. Factor i(m).\nAnswer: -(m - 1)*(m + 2)*(3*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -102*l**3*w - 32*l**3 - 1 wrt w?\nAnswer: -102*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104044399.8 - -104044387.79999982. Let q = z + 12. Round q to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - (-4188)\/(-24))*(-52)\/6?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633974429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39154 + -39150. Which is the third biggest value? (a) 0.1686 (b) -1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*n - 1574, -5*n = -3*i + 6*i + 1586. Let d = 1588\/5 + n. Let x = -46\/35 + d. Which is the third smallest value? (a) -1\/3 (b) -0.06 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*b - 3, -b + 8 = 2*l - 1. Suppose 3*k - 35 = -2*x + b*x, 2*x = -10. Calculate the remainder when 57 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 49. Let r be c\/(0 - (-9)\/3). Suppose r = -4*f + 20, -3*u + 316 = -0*f - f. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-8) - 2\/(-8). Suppose 6*c - 24 = 4*c. Suppose l*k - 4*k + c = 0. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1\/7, -443646 in decreasing order.\nAnswer: 3, 0, -1\/7, -443646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4\/25 of a litre?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 754.4089m to nanometers.\nAnswer: 754408900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12376230527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.76143 + -6475.49557. Let a = l - -6621.2. Let n = a - 117. What is n rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**4*v**2 + 25*u**3*v**3 + 250*v**3 with respect to u.\nAnswer: 12*u**3*v**2 + 75*u**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 + -7)\/((-6)\/(-64)). Let n = q + -28. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17874\/(-11585))\/((-6)\/(-5))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -596.000498 - -596. Round v to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 57197, 9, -0.1, -0.4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 21147 and -4.\nAnswer: 21143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.187 - -0.013. Let s = -10 + i. Let y = 17 - 16.5. What is the second biggest value in s, y, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 6:00 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*(-1)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -15 - 209. What is the remainder when d is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*j**4 + 80*j**4 - 33*j**4 + 37 - 28 - 113 with respect to j.\nAnswer: 336*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 0 + 2*c**4 + 0*c**2 + 2*c**3 + 0*c**4 + 2 to q*c + z*c**2 + x + h*c**3 + b*c**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/7)\/w**10 assuming w is positive.\nAnswer: w**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087361 is divided by 51779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 2:54 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991975817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 505812?\nAnswer: 505812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(34)\/sqrt(2)) - (sqrt(187)\/(-1*sqrt(11)) - sqrt(119)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1111101101?\nAnswer: 1111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 120690 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/3)*(n**(-6)*n)\/n*(n**0\/n)**(-1\/30))**24 assuming n is positive.\nAnswer: n**(-876\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 905*h - 51721 + 37241 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 7966269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.1 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7265473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 333 or 78502\/235?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i - 1. Let q(c) = 1259*c**3 + 24*c + 242. Let s(h) = 12*m(h) + q(h). What is the first derivative of s(y) wrt y?\nAnswer: 3813*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + 174. Suppose 3*b + a = 5*n, -2*n - 3*b + 80 = -5*b. Let r be (24\/20)\/(n\/30). Sort 5, 0, r in descending order.\nAnswer: 5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (117\/(-18))\/(2\/56). Let l be (-16)\/(-56) - (-59)\/g. Is l equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 = -4. Let t be d\/2 - 153\/(-6). Let g = t - 14. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.24 and 123521.3644?\nAnswer: 123512.1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*q - 31 = 115, 3*o = -3*q + 96. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1207 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ccc1 - -7?\nAnswer: 2ccc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3183 = 25*b - 6783. Calculate the remainder when 415 is divided by b.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183 + -192. Let m(w) be the second derivative of -3*w**2 + 0 - 7*w - 1\/6*w**3. Calculate m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**4 - m**3 + m**2 - 1. Let o(q) = -139*q**4 - q**3 - 193*q**2 - 2. Let k(j) = -2*n(j) + o(j). Find the third derivative of k(r) wrt r.\nAnswer: -3288*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15669, 15681, 15693, 15705, 15717?\n\"Answer: 12*c + 15657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 707878.09 to the nearest one thousand.\nAnswer: 708000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3862 - -3866. Let x(w) be the first derivative of -12 + 0*w + u*w**2 - 11\/4*w**4 + 0*w**3. Find the second derivative of x(i) wrt i.\nAnswer: -66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169.671 - -0.329. Let n = p - 170. What is the closest to 2\/5 in -25, -0.2, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**2 + 1304792*r + 1304788 = 0.\nAnswer: -326197, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 192*r**2 + 1188*r - 228095. Calculate s(192).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**3 - 10*n**2 + 11*n - 11. Let o(f) = -2*f**3 - 3*f**2 + 4*f - 4. Determine 4*b(h) - 11*o(h).\nAnswer: -2*h**3 - 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 8:04 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26413, 26418, 26423, 26428?\nAnswer: 26433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 0.3. Let f = 50417 - 50416.9. Sort -1, f, h, -0.08 in ascending order.\nAnswer: -1, -0.08, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + (7 - 1) - -7) + 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4146115 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2199 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 - -0.36. Suppose -r + 2*g - 4*g = -4, g = 3*r + 16. Let i(w) = w**3 + 3*w**2 + 5. Let n be i(-3). What is the third biggest value in l, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/11 + 1528*a\/11 + 21000\/11.\nAnswer: 2*(a + 14)*(a + 750)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**8\/5040 + n**7\/2520 - n**6\/1080 - n**5\/360 - n**3\/6 - n**2. Let l(k) be the first derivative of w(k). Factor l(s).\nAnswer: s*(s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4462)\/(-184) + (3\/(-12))\/1. Is s less than 303\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 2 = -10*u. What is the smallest common multiple of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*h + 1. Let t be 10 + 4\/(-2) + h. What is the highest common divisor of 81 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 40) + (-76 - (-18 + -30))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6952904960 to the power of 1\/4, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + -2 + sqrt(343) + 2 - ((sqrt(343) - (-6*(sqrt(343)*4 + sqrt(343) + sqrt(343)) - sqrt(343))) + 3))**2.\nAnswer: -1036*sqrt(7) + 469575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 340 + -571. Let c = 487 + l. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 9:11 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ddgg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mjrrmmrjjjjro.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 54359626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (9 + 1 - (-1141 + 1134))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 26 = -n, 3*u + 12*n = 7*n + 84. Calculate the highest common factor of 69 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 420 + 0 - 5 - -1. Suppose -4*t + 5*t = -2*j + 279, 0 = 3*j - t - c. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -568, -433, -84, 581, 1664, 3267, 5492, 8441?\n\"Answer: 17*x**3 + 5*x**2 + x - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*z - 6 = 0, 0*v - 18*z = 2*v - 62 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 118 + -148?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 463.\nAnswer: 4\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26738475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -m - 3*f, -446289*m + 147 = -446293*m - 11*f for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -139, -126, -111?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.786073 kilograms in micrograms?\nAnswer: 7786073000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 - m**2 - 5*m + 5. Let k(u) = u**3 - u**2 - 2*u + 2. Let x = -22 + 30. Let w be ((-4)\/x*-4)\/(-1). Let q(d) = w*i(d) + 5*k(d). Calculate q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 + 5. Let z be n(7). Let k(x) = 9*x - 38. Let g be k(z). Suppose -6*m = -g*m + 27. Calculate the remainder when 97 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52136*x**3 - 247934*x**2?\nAnswer: -312816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 92*t**2 - 13*t + 89. Is 14 a factor of m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - j + 1 = 0, -76 = 166*r - 162*r + 11*j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from lyluylyylpuypylllll?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 930 + -980 - (-41 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -1794085308.\nAnswer: 1794085313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 238, -1, -5, 747, -3 in increasing order.\nAnswer: -5, -3, -1, 5, 238, 747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17*v**2 - 66*v - 10. Let q(h) = 18*h**2 + 66*h + 13. Calculate 4*o(d) + 3*q(d).\nAnswer: -14*d**2 - 66*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**5\/90 + 7*c**4\/27 + c**3\/27 - 14*c**2\/9 - 197*c + 2. Factor s(v).\nAnswer: -2*(v - 14)*(v - 1)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.9294 + 3.9251786. What is o rounded to four dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9875*b - 6699 = 9962*b for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(2057) + -3 + sqrt(2057) + 3*(sqrt(2057) + -1))*2)**2*1.\nAnswer: -1234800 + 13200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 157. Let p(l) = 34*l - 1550. What is the lowest common multiple of u and p(46)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -2352653 at least as big as -2352653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 4. Suppose -2*h + 5*h + 12 = -4*p, 12 = -4*p + 3*h. Let x be 0 + (1 + 0 + p)*-11. Let y = x - 17. Give u(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.9 times 4.6?\nAnswer: -385.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 6*i**2 - 6*i - 7. Let s be k(7). Suppose -24 = -2*l - s. What is the tens digit of l*((-3)\/1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 0 - 81 + 14 + (o - 4*o + o)*(-3 + 0 + 2).\nAnswer: o - 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 490325 and 5225.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(108) + sqrt(108) + sqrt(108) - 5*(sqrt(3) + sqrt(12)*5))**2.\nAnswer: 98*sqrt(3) + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44254048 divided by -5531756.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + (0 - (-4 - -8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (sqrt(112) - (2 + 2 + sqrt(112))) + 2)**2.\nAnswer: -16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33410 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -42790025.\nAnswer: -16\/42790025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13901?\nAnswer: 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(((-3)\/9)\/(28\/(-126))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**5\/150 - i**4\/60 + 3*i**2\/2 + 1. Let j(l) be the second derivative of c(l). Suppose j(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/266 + 38\/(-133)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 125?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 9*n + 20. Give f(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145\/12 - -34\/3. Let w = -30 + 89\/3. Let o = -1550.1 + 1550. Sort w, j, o.\nAnswer: j, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -780 + 783. Let z = 6 + -4. Let g(k) = k**2 - 2*k. Let a be g(z). Solve a = w*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 + (-8 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 8*k - 12. Let p = 44 + -38. Let a be q(p). Suppose 0 + 10 = -2*c. Sort a, 5, c in increasing order.\nAnswer: c, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -24. Let b = 0.1886 - 0.6886. Put o, 4\/11, b in decreasing order.\nAnswer: o, 4\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**2 + 5. Let d(l) = -72*l**2 - 32. Let z(v) = -5*d(v) - 32*t(v). Let n(k) = -6*k. Determine n(z(x)).\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 536\/(-6)*((-3)\/(-2) - 0). Let f = 136 + a. Solve -s = -f*b - 2*s + 1, -5*s = -5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 3*q**2 + 11*q. Let n be h(5). Solve -t = 3*t - 2*g - 4, -2*g - 4 = n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19936056 and 8?\nAnswer: 19936056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:12 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 1, e: 4, g: 3}. What is prob of picking 1 q, 2 i, and 1 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 1, e: 1, i: 1, z: 3}. What is prob of picking 1 k and 2 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3375?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 - 24 = -3*s, 3*s - 21 = -5*a. Let h(g) = 630*g + 5. Let b be h(s). Let t = -1585 - b. Round t to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 <= 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8283 - 7880. What is the remainder when v is divided by 167?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 6, 9, 10, 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 2. Let u be 28*(-6)\/(-48) - 9\/6. Let x be l(u). Which is the nearest to 1\/4? (a) -13 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from vvcvwwcvccvvc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (52\/(-8) - -4)*-2. Suppose 4*o - f - 7 = 0, -h*o + 4*f = 2 + 3. Suppose 39 = 3*l - 3*n + 4*n, -2*l - o*n + 26 = 0. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45877094 + 0.153\nAnswer: -45877093.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o*o**(-3)*o*o)\/o*o)*o*o)\/(((o\/o**(-2\/7))\/o)\/o))**(19\/4) assuming o is positive.\nAnswer: o**(627\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d - 195 = -9*d + 23*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 121*o + 8 = 125*o, -4*o + 26 = 5*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3847821 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 c(l) = 2*l**2 - 109*l + 55. Let x be c(52). Let m be 2\/(-9)*-12*-42. Let a = m - x. Is 31 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234190?\nAnswer: 2, 5, 11, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/120 - 7*d**5\/60 + 5*d**4\/8 - 5*d**3\/3 + 14*d**2 + 4. Let o be n(4). Calculate the highest common divisor of 16 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(3 + 2*n**2 - 3) - 603*n**2 + 118 - 208 - 6878*n**2 + 84 to the form m*n**2 + p + l*n and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 22*w + 87. Let b be a(7). Solve b = 4*i + 3*y + 2*y, 5*i - 5 = 5*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*u - 60, 0*h - 4 = -u - h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/11 (b) -1\/6467 (c) -4 (d) -662 (e) -1 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 529907024 and 928.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, 6\/2201, 0.1, 5 in decreasing order.\nAnswer: 5, 0.1, 1\/17, 6\/2201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 101, 106, 113?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -54*c**3 - 2*c**2 + 1. Calculate l(1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 957 - 953. Let j(z) be the third derivative of 0 + 1\/20*z**5 - 1\/70*z**7 - 1\/4*z**h + 2*z**2 + 0*z**3 + 0*z + 1\/20*z**6. Suppose j(p) = 0. What is p?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33253\/9 - -3686. Which is smaller: m or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*u + 98 = 0, 2*u - 32 = -q + 70. What is the remainder when q is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {x: 9, m: 1, y: 1, e: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 5*p + 6. Let j be o(-4). Suppose -4*v - j*k + 206 = 0, 2*v + 2*k + 210 = 6*v. Let g = v - -1. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = 2*r. Suppose -r*q - 26 = 4*y + y, -16 = 2*y + 4*q. Let k(f) = 4*f + 9. Let m(n) = -4*n - 10. Let w(h) = -6*k(h) - 5*m(h). Determine w(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (-4 + 8 + -2 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3 + 146*w**2 - 2736*w + 2592 = 0.\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 450 - 452. What is the third biggest value in 25, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4414, -4411, -4408, -4405, -4402, -4399?\nAnswer: -4396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33700 and 400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16*(m*m**(2\/9))\/m)**(5\/6) assuming m is positive.\nAnswer: m**(365\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in hours?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(363) + 0 - (sqrt(363) + (sqrt(363)*-4 + sqrt(363))*-5)).\nAnswer: -165*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**4\/24 - 191*y**3\/12 + 95*y**2\/2 - 1454*y. Find c such that v(c) = 0.\nAnswer: 1, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7 + (-7 - 4) - -353*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.191895935869+3\nAnswer: 3.191895935869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -111508 at most -3679810\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*k - 93 - 22. Suppose -83 = -k*t + 2*f, -4*t - 3*f - 6 = -54. What is the highest common factor of t and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**3\/6 + 6*h**2 + h. Suppose i - 50 = -56. Calculate u(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4910961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/3 of a day in hours?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2768107908.\nAnswer: 2, 3, 397, 581047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.8 + -0.2. Let j = a + 24.06. Put -3\/2, 0.1, j in ascending order.\nAnswer: -3\/2, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -127?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 236*v**2 - 540*v + 55692.\nAnswer: -4*(v - 13)*(v + 21)*(v + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/4 - 528967*c - 279806087089 = 0.\nAnswer: -1057934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o - 8. Let b be w(-4). Suppose -4*y + 6 = 5*x - 1, 3*x - b*y = 17. Find the third derivative of 9*z**2 + 11*z**x - 8*z**2 + 4*z**2 wrt z.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 2*q - q + 19, 2*m + 8 = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 340596.\nAnswer: 1702980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 967925.1 days?\nAnswer: 83628728640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -82. Find the common denominator of ((-4)\/b)\/((-18)\/2037) and 23\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/v**(-4\/21))\/v)**(2\/43)*(v\/v**37)**19 assuming v is positive.\nAnswer: v**(-617560\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-10))\/(288\/(-1080))*4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57486 is divided by 5214?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 12*q - 29. Give d(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 109*q**7\/7 - 2*q**5\/5 + 245*q**3\/3 - 48. What is the third derivative of t(m) wrt m?\nAnswer: 13080*m**3 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60436 and 483488.\nAnswer: 483488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232883*n + 2 - 171530*n - 205367*n + 118890*n.\nAnswer: -490890*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -8.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g + 62272*g**2 + g - 1 + 5*g - 2*g**3 + 1.\nAnswer: -2*g**3 + 62272*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -456\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*d + 155 + 43. Let k = 1.4 - 1. Let r be ((-3)\/(-5))\/((-15)\/10). Which is the nearest to r? (a) k (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 841. Let u(c) = 3*c - 561. Determine 5*n(w) - 7*u(w).\nAnswer: -w - 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 42 = -v, 2*v + 2250108 = 3*p + 2250142 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 4:24 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*b**3\/3 - 670*b**2\/3 - 512*b + 600.\nAnswer: 2*(b - 50)*(b + 3)*(7*b - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.2, -2, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -718) + (0 - 2). Let t = 480 - g. Let k be -2 - t - (-4 - -1). Round k to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5787, 6074, 6559, 7248, 8147, 9262?\n\"Answer: x**3 + 93*x**2 + x + 5692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 10*m - x = 311, -3*x + 1251 = 4*m. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 12. Suppose -2*z + z = 2*u - 22, 0 = -4*u - m*z + 48. Suppose 2*p = -6, -s + 3*p - u + 32 = 0. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -2*y**3\/3 - y**2 - 27*y. Let i(a) = 1. What is f(h) + 2*i(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -98*c**3 + 3*c**2 + c - 4. Let i be k(-2). What is i rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 - -115. Let y = -11 + 40. Let i = y + -16. What is the remainder when d is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**3 - 35*j - 35. Let p = 418 - 412. Let m(f) = -f**3 - 6*f - 6. Determine p*d(h) - 35*m(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - p, 2 = -p - 0*p. Let j(g) = -g**3 - 10*g**2 - 11*g - 13. Let d be j(-9). Let w be 10\/3*12\/(-8). Sort d, w, s in descending order.\nAnswer: d, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.0171.\nAnswer: 0.00342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -5, -16, 2\/9, 332, 1\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 10870*y**2 - 2176100*y + 104353160.\nAnswer: 5*(y - 94)**2*(y + 2362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:49 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/(2\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -219*b - 5449. What is i(-21)?\nAnswer: -850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 9. Let j = 0.1 + -0.1. Let n = j - -3. Put n, 0.2, o in descending order.\nAnswer: n, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(4*s + s - 2*s) + 5 - 5 - 2*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*h + 63482 = 0, -66*i + h - 126908 = -70*i. What are the prime factors of i?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/198105 and 37\/1575.\nAnswer: 20801025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-9 - (-27 + 36)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 896*n**4 - 891*n**4 - 7*n - n**3 + n**2 + 14 - 16 to s*n**3 + x + i*n**4 + d*n**2 + h*n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.62 from -16.65609.\nAnswer: -29.27609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23d796 (base 16) to base 10.\nAnswer: 2348950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/312 and -53\/28.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quqcwxkkw. What is prob of picking 1 c, 1 w, and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-21))\/((-3)\/(-21)). Suppose u - 2 = m. Suppose 9*a - u*a = 190. Calculate the remainder when a is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 3*r. Let v be o(-3). Let c = v + -7. Let d be -1 + (11 - 2 - c). What is the greatest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let a be p(1). Let y = 3 - a. Solve -4 - y = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 153*x - 369 + 522. Let a = -12 - -11. Do x and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622296120 to the power of 1\/4, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(3087) - (0 + sqrt(3087)))*-5 - ((sqrt(315)*-4 + sqrt(315) - sqrt(315))\/sqrt(5) - (sqrt(504) - -4*sqrt(504) - sqrt(504))\/sqrt(8)))**2.\nAnswer: 192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/655, -2, 0.4, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -3, 4, -4 in descending order.\nAnswer: 4, 3, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 26*d**2 + 14*d + 591. Calculate l(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31933.24 take away 0.9238?\nAnswer: -31934.1638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - -134?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18072209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 2624\/224)*(-6 + 1 + (-88)\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 28128*v**2 - 3*v + 28128.\nAnswer: 3*(v - 9376)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mooeeoseoeaooneema. What is prob of sequence am?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 + -120. Let b = c + 328. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227 - -438. What are the prime factors of t?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 552 * 0.02\nAnswer: 11.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45e5 - 57?\nAnswer: -463c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 16*r**2 - 9*r + 18. Let a be i(12). Let x = a - 338. Suppose -12*u + 148*u**2 - 8 + 4*u**3 - x*u**2 = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39743171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0 + 2 + 2*z**2 - 3*z**2 + 4*z. Let u be g(4). Let a(v) = -2*v - 9. Let k(s) = -2. Let i(h) = 2*a(h) - 10*k(h). Calculate i(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 7121 = 151*d + 438*d + 5683 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 34. Let u be f(12). Solve d - 2 = 2*l + 3*d, -u*l - d = -3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 188 - 23*d**3 - 7551*d**4 + 5*d**3 + 7547*d**4 wrt d?\nAnswer: -16*d**3 - 54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4 + 126*b**3 + 675*b**2 + 984*b + 432 = 0. What is b?\nAnswer: -36, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44520 and 15586452?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21741343 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -1422295 and -1422305 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -552, -556, -560, -564?\n\"Answer: -4*k - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -87764.7 to the nearest 1000.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*z = 197, 0 = -7*f + 5*f + z + 97. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 2*n**3\/3 - 3*n. Suppose 4*z + a = -18, 28*z + a - 2 = 29*z. What is o(z)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 12*w - 80. Solve -2*i = -10, w*i - 27 = 2*t + 3*i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1680a + 5?\nAnswer: -16805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -36. Sort 3, d, 4.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjajaaajasjaa. What is prob of picking 1 j and 1 s?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, -3 in descending order.\nAnswer: 11, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-27)\/1134)\/(2\/126)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 8*f**2 + 5. Let t be j(-8). Suppose 0*b + t*b - 5 = 0. Suppose -b = -r + 6. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/4 + 0\/1. Suppose -w + 34 = 30. Solve w*d + 4 = -i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + b - 4, q + 12 = b + 2*b. Let w = -54 + 59. Let g be (2 + -1 - 24\/56)*7. Solve y - 5 = -m - g*m, -w*m - 5*y + 25 = q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -405069.\nAnswer: -405069.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpj when three letters picked without replacement from {v: 6, p: 4, j: 2, m: 6}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -280 - -293.5. Let b = p - 13.4997448. Round b to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 18792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 11*o + 15. Give x(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-2 + -2 - 1 - 2) - 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 694*m**3 + 5*m**2 + m - 6. Is i(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 k, and 1 t when four letters picked without replacement from {d: 2, y: 1, t: 5, i: 5, k: 5, f: 2}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - 13.01. Let p = -13 - f. Which is the nearest to p? (a) -3 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(43\/946*-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 21*j**2 + 4*j + 12. What is the hundreds digit of t(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 16*w. Suppose 2*a = 10, 0 = -4*t - 2*a - a + 31. Suppose 3*v = t*f - 8, 0*v = 5*v. Is 16 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 5 - (20 + -22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7159, -693, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-2511) + (-115)\/(-3105).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(28)\/sqrt(4) + sqrt(7)) + -5)**2.\nAnswer: 20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 10 - 0. Let z(v) = v**3 + 4*v**2 - 8*v + 29. Let u be z(-6). Calculate the remainder when u\/((-45)\/261)*-1 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from qkerrkeeeqk?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/65*(-10)\/30.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/22, 1, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11010 - 1222020?\nAnswer: -1211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -2 + 3 + -3. Suppose 0*w - 5*b - 10 = -5*w, 0 = -5*w + b + 2. Suppose o*s = 12 - w. Put s, -5, 5 in increasing order.\nAnswer: -5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090189312 rounded to four dps?\nAnswer: 0.0902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 1. Let i be (-2 - -2) + -1 + -1. Give y(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41222737709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 4. Let f(o) = -o**3 - 2*o**2 + o - 1. Determine f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2) + 38\/(-2). Let i = 2673 + -24059\/9. Put -3, i, r in decreasing order.\nAnswer: i, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0418157 to 3 decimal places.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -70 + 10 - 13*d - 4*d. Let m be q(-4). Let r(s) = s - 1. Let o(y) = -y**3 + 9*y**2 - 10*y + 9. Let l(x) = -o(x) - r(x). Calculate l(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.23. Let n = -25 + 26. Is n != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -89*t + 332. What is k(4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 + 2)*(53*t**2 - 72*t**2 - 4*t**3 + 3*t**3) to x*t**2 + r + a*t**3 + o*t and give x.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -11. Let t = g + 53. Let j = -47.9973 + t. Round j to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 50868.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6918436 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10260 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -393 + 377. Put 3, n, 5 in decreasing order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2\/4) + 235\/(-10). Let g = y - -26. Suppose -5*s + 12*s - 35 = 0. Sort -1, g, s.\nAnswer: -1, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 3\/((-1 + 2)*-1). Solve 0 = -l*x + 2*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1860 = 5*y - 2*y. Suppose -3*u = -8*u + y. Suppose -3*j = -2*t + 46, 5*t = -3*j + 6*j + u. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 5596.049 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 143691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3 - 3*i**2\/2 + 5. Let v be d(2). Let b(r) = 7*r - 3. Is 29 a factor of b(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 <= -0.021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632251 (base 9) to base 5.\nAnswer: 44010033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1031222?\nAnswer: 1031231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(55\/51 - 1). Let y = 332643 - 332643. What is the nearest to y in 0.3, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59922248?\nAnswer: 2, 727, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 - 6452*g**2 - 25805*g\/4 + 25807\/2.\nAnswer: -(g - 1)*(g + 2)*(g + 25807)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*((sqrt(63))**2 - sqrt(7))*3.\nAnswer: -756 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160.0203 litres to millilitres.\nAnswer: 160020.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -851 (base 9) to base 8.\nAnswer: -1266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 48*p + 48. Let l be f(-1). Solve l = a + 5*o + 33 - 23, 11 = a - 2*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020033 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.23 - 3.306. Let a = h - 0.624. Is 0.5 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * -270.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -1406, -5278, -12948, -25682, -44746, -71406, -106928?\nAnswer: -152578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844433 divided by -8271?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01571 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - 0 - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000527538681 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2432 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -66816668, 1 in descending order.\nAnswer: 2, 1, -1, -66816668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 3:47 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11040012104 - -23?\nAnswer: -11040012031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19517.\nAnswer: 29, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32861 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-1*7 - (13 - (13 - -8)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/25)\/3 + (-9 - -18)\/(-9). Let i be 6\/(-15)*5\/7. Let t = 1.05 + -1. Which is the nearest to t? (a) i (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - o + 6. Let g(z) = -4*z**2 + 2*z - 11. Let d = -1582 - -1589. Let w(v) = 3*v + 1. Let r be w(1). Calculate d*x(f) + r*g(f).\nAnswer: -2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**4\/4 + b**3\/2 + b**2. Suppose -2*x = 5*f + 200 - 193, f + 23 = -4*x. Let t be j(f). Put 0, 2, t in ascending order.\nAnswer: t, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(5\/10210) - -5. Let c = 2041 + s. Suppose k = -k. Solve -2*u + 5 = 3*m, k*u = c*u - 3*m - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -6, -2, 0, -0.4 in increasing order.\nAnswer: -6, -2, -3\/7, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16 - (-5)\/((-5)\/(-6)). Suppose 112745 = l*y - 12281. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**3 - 44*c**2 + 68*c + 27. Calculate t(13).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2\/3 - 491736*c - 5900768\/3 = 0. Calculate c.\nAnswer: -368798, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1602 divide 12970700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 477\/(-27) + 10.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 8 - (-53 + 0)) + 0 + -4 + -1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 655649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3322 - 3322.06. What is the second biggest value in b, -3, 0.4, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*v = -194, 5*v = 8 - 28. Is -182 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26 + -0.31. Let a = 14.05 + q. Let k = a - 15. Is k bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -555\/1093?\nAnswer: -555\/1093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120945.\nAnswer: 5, 7, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 10. Let z be k(-7). Suppose 2*n + 76 = -4*d, 37 = -2*d + d + 4*n. Let v = d + z. Solve -v - 8 = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**2 - 7*b - 3. What is the units digit of d(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478595.405902 less than 0.5?\nAnswer: -1478594.905902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 201*x**2 - 23*x + x - 1 - 200*x**2 - 1 in the form i + l*x + b*x**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - -3c?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)*2 + sqrt(66))\/sqrt(6)*5)**2 - (1 + (sqrt(275) + 0)**2)) + 6*((-2*sqrt(11) + -4)**2 - (sqrt(99)\/(sqrt(18)\/sqrt(2)))**2)*6.\nAnswer: 576*sqrt(11) + 3963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (0 - 1)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/6*2 + -5. Let p = m + 3. Sort 2, p, -4.\nAnswer: -4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 414 = -5*r, 5*d + 0 + 10 = 0. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 69 = 0. Let j = 40 - k. Suppose j = 2*n + 5. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 34?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129349\/241 + -105\/482. Let u = 554 - m. Find the common denominator of u and ((-5)\/(-60))\/((-4)\/(-606)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Let h be a + -2 + 1 + 0. Solve 2*w = -k - 3, h = 4*w - 3*k + 4*k + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**24*a*a\/(a\/(a\/(((a*a**(-1\/4))\/a)\/a))))\/(a**(8\/9)\/a**(3\/20)) assuming a is positive.\nAnswer: a**(1193\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/30 - 3852\/360.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 248297 + -31?\nAnswer: 248266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 258b1 + 5?\nAnswer: 258b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1149*a + 2874. Determine t(3).\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -113, -478, -1097, -1970, -3097, -4478?\n\"Answer: -127*z**2 + 16*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a factor of 86723475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/((-14)\/(-6)). Let q = 42 + -46. What is the smallest value in 3, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 4, -2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 58*m + 803. Let r be w(-18). What is r rounded to the nearest integer?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*d**3*z + d**3 + d**2 - 2*d*z + 731*d + 2*z wrt d?\nAnswer: -108*d*z + 6*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/8*2\/1. Suppose 0 = 5*t - 119 + 14. Calculate the common denominator of 1 - r - t\/(-5) and -79\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -338, -878, -1760, -3056, -4838, -7178?\nAnswer: -10148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/19 and -14\/171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l**2 + 14736629*l - 14736622*l - 3*l**2 + 5. Let m(r) = -13*r**2 + 29*r + 21. What is 2*m(b) - 9*t(b)?\nAnswer: b**2 - 5*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 2*j + 2*j)*(-4*j + 0 + 0) - 7*j**2 - 2 + 1 + 6*j**2 to the form m*j + q*j**2 + r and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 4. Let d be y(-3). Calculate the common denominator of (-57)\/d + 3 + -4 and -143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3 + 72*n**2 - 74*n**2 - 3*n + 0. Let l(c) = -7*c**2 - 2*c - 3. Let p(z) = 8*z**2 + 2*z + 4. Let s(i) = 6*l(i) + 5*p(i). What is 3*s(f) - 2*x(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqiqiq. Give prob of picking 3 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.245823 rounded to 3 decimal places?\nAnswer: 0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250354, 250359, 250368, 250381, 250398, 250419, 250444?\nAnswer: 250473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*z = 2*z - 16, 0 = -2*z + 6. Let i be ((-30)\/(-9))\/(x\/3). Suppose 1 = -2*d + i. Is d smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360 - (79 - -53) - 128\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 59*g**2 + 503*g + 19. Determine d(-9).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/2)*s**(1\/30))\/(s**(-27)*(s\/((s*s*s**11)\/s))\/s))**(-1\/9) assuming s is positive.\nAnswer: s**(-563\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 2, x: 1, n: 2, s: 4, b: 4}. Give prob of sequence lx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -17*q - 70 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 296 = -2*h, 0 = 2*h - 3*h - 3*v + 157. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -37.82 - 1.612\nAnswer: -39.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1060 and 388998800.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2320\/(-435) - 5\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 574 + -929. Let i = -163 - d. Let f = i + 4. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 6*k - 12. Give g(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(t**2 + 0*t**2 - 2*t**2) + 3*t - 185*t**2 + 199*t**2 + 16*t.\nAnswer: 12*t**2 + 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 52 = -u - 5*x, 2*x = -6. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -845*y - 2. Let q(t) = t + 237. Calculate q(r(a)).\nAnswer: -845*a + 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r. Let g(s) = -9*s - 2. Let t(h) = -154*h - 35. Suppose 0 = 2*l - 2*v - v + 67, -2*l - 71 = v. Let n(c) = l*g(c) + 2*t(c). Determine n(p(y)).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358095?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 1557*i - 389.\nAnswer: -(i - 389)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/10)\/(1\/(-2)). Let i = k - -3\/65. Which is smaller: 0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 742356, 1484715, 2227074?\n\"Answer: 742359*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 732093 and 141726?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/6 - 36253*s**3 - 2643857720*s**2 - 197221905250601*s\/3 - 159902087446439653\/2 = 0.\nAnswer: -72079, -1281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 186021903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from wavv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195513965.\nAnswer: 5, 227, 172259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 20 = 4*v - 2*p, v - 5 = -p. Let c(d) = d - 2. Let t be c(-3). Let u(s) = -7*s - 30. Let i be u(t). Solve -2*b + 7*b + i = v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*i + 4 = 0, -3*i = 2*j - i - 8. Suppose j*y = a + 1 - 15, -5*y - 53 = -4*a. Solve 0 = 4*p + 4 - a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q = 463 + 263 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(-2\/5)*b)))**(4\/9)*b**(-1\/17)\/b**(-2\/15)*((b*b*b\/(b\/b**(-2\/5))*b)\/b**2)\/(b\/b**(-9)*(b*(b*(b*b**(-1\/14))\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-2139\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 1\/7*g**7 + 0*g**6 + 0 - 3\/4*g**4 + 0*g**2 + 0*g**3 + 0*g**5 - 5*g. What is the third derivative of m(c) wrt c?\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 1409?\nAnswer: 24\/1409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 50. Suppose -2*j + p = 3*x, -2*x - j = -0*j - 14. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -14 - a**2 + 4 - 2*a + 4 + 5. Give g(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 6*d + 1\/3*d**3 - 2*d**2 + 1\/6*d**4 + 7. Let o(s) be the first derivative of q(s). Solve o(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - m. Suppose -4*o + 2*z + 1774 = o, z + 2 = m. Suppose -u + 146 = -o. What is u rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*c = -3 - 9, -5*c = -5*d + 30. Suppose -i = -177 + 56. Suppose i + 79 = d*o. Calculate the greatest common divisor of o and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -5, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 0.4 (c) -2\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i - 63. Let w be h(7). Solve 1 = v - w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57001*g - 98621 wrt g?\nAnswer: -57001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 0*y**3 - 6*y + 4 + 6*y**2 - y**3. Let r be k(4). What is the common denominator of -49\/6 and -83*(-2 - (-14)\/r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-1)\/4*16\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3413*-5\nAnswer: 17065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*t + 7*t - 386 + 170 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 96 (b) 4 (c) -5 (d) 2736\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6) + (-3)\/6. Suppose q = 2*b + 3*b - 70. Suppose -b - 18 = -3*h - 2*a, -h + 3*a + 7 = 0. Solve -5*n - h = 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9104352, 9104347, 9104342?\n\"Answer: -5*m + 9104357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.42815 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2555193?\nAnswer: 3, 851731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.96199 rounded to 1 decimal place?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 11 = -5*y - k, 24 = 3*y - 4*k. Solve -2*r = -y*z + 4, -6*r + 8 = -r - z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/11 - 49272*m**2\/11 + 49274*m\/11 = 0.\nAnswer: -24637, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13583922*r - 3454029 wrt r?\nAnswer: -13583922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*o**2 + 97*o**2 - 321*o**2 + 3*o**2.\nAnswer: -166*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/5*((-6)\/2 + 1). Let b be (5\/(-15))\/(2\/6). What is the closest to -1 in z, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/5)\/((-14)\/(-5) - 3). Suppose 79 = -p*c - 83. Let s be (-30)\/(1*3 - (-66)\/c). Calculate the highest common factor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0823 + 9747?\nAnswer: 9747.0823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + p**2 - 3941 - 6*p**3 - 7176 + 8*p**3.\nAnswer: 2*p**3 + p**2 - 6*p - 11117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 20. Let i(u) = -2*u**2 - u + 4362. What is i(d(t))?\nAnswer: -8*t**4 - 162*t**2 + 3542","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -14, -34, -72, -134, -226, -354, -524?\n\"Answer: -n**3 - n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35115458 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 77416402722.\nAnswer: 77416402722.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.2, 1, -318?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4334*s**2 - 2759*s**2 - 349*s**2.\nAnswer: -7442*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 9*s + 8. What is the units digit of u(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 4*x**2 - 4*x - 3. Let h be s(-3). Does 13 divide ((-2)\/(-4) - h)*32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 3. Let k be g(6). Is k*(2 - (-286)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 38\/7 of a week?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -30. Which is the second smallest value? (a) 2\/5 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/12)\/((-16)\/(-96))*-1. Sort -2, p, -3, 2 in descending order.\nAnswer: 2, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.40962 + 0.08038. What is d rounded to 0 dps?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*b**2 + 22*b**3 + 18*b**2 - 62*b**2 - 1 to v*b**2 + m*b**3 + k + z*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 1)*(4*t - t - 2*t)*(4 - 5 + 3).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.87 - -0.27. Let s = 0.5 + h. Let t be (12\/9)\/(5\/(-15)). Sort t, s, 19 in ascending order.\nAnswer: t, s, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g - 60. Let r be m(-11). Let f be 727\/5 - 5\/r*4. What are the prime factors of f\/4 + (4 - 68\/16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433214.\nAnswer: 2, 216607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.6 + -6. Let k = 53461\/38 + -1407. Let z = 47\/76 - k. What is the third smallest value in 0.2, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2847474 is divided by 1055?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 16*j**2 + 15*j + 44. Calculate l(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5155 equal to -2403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1807, 1779, 1751, 1723?\n\"Answer: -28*v + 1835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*z + 6*z. Let r be (-17)\/(-4) + 1\/(-4). What is the biggest value in r, z, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 10 = -2*l, 3*l - 15 + 26 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 - 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 18 + 1\/8*n**2 + 3*n = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 6*o + 70. Solve -1\/10*z**5 + 3\/10*z**3 + 1\/5*z + 1\/2*z**o + 0 - 1\/10*z**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 35268*m + 35264.\nAnswer: 4*(m - 8816)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 9:10 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 659 = v, -4*s - v = -843 + 182. Calculate the highest common divisor of s and 286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(-11)\/(-33).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + (-2 + 6 + 0)*(-7 - 3 + 4 + (-2 + 2 + 3)*(-2 + 1 - 5)) + 0 - 1 + 0 - 5 + 2 + 2 + (3 + 3 - 5)*(1 - 3 + 0) + 1 + 0 + 1)*(n - 3*n - 2*n).\nAnswer: 384*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92257 divided by -4?\nAnswer: -92257\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/45 + (-4)\/(-6). Do -5 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 17 = -9*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 533 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 3786 in descending order.\nAnswer: 3786, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 497.68 + -596.594. Let n = 99 + m. What is n rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**3 - 13*q - 51. What is the remainder when k(-9) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -26*i**2 + 67 + 38*i + 187*i**2 + 301*i - 50 - 53*i. What is the first derivative of s(o) wrt o?\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (-20)\/70 + 186\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 76*d - 4. Let j be b(-3). Let r be (14\/(-8))\/(2\/j). Suppose 0*v + r = v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + 0.93. Put o, 6, -2 in descending order.\nAnswer: 6, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -74. Let r = -37.6 - a. Let q = r + 6. What is the closest to 5 in q, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2160)\/(-80))\/162*11\/(121\/(-30))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(12) + sqrt(27)\/(-1*sqrt(9)) - (((sqrt(396) - (sqrt(396)*2 + sqrt(396))) + sqrt(396) + sqrt(396))\/sqrt(11))\/sqrt(12).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665\/1230*3\/(-39)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.035\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 366 = 2*o. Let y = o - -130. Suppose -z - 1 = -y. Solve -3 = 5*f + z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/941 in -1, 0.09, -0.4, 0.18?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 - 54416962*v - 740301438327361 = 0. What is v?\nAnswer: -27208481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5232\/17004 - (2 - 1809\/1092)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.656 rounded to one decimal place?\nAnswer: -76.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from xhxbhsh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s**4 + 27285*s**3 + 7490910*s**2 + 25187200*s + 8878080 = 0. What is s?\nAnswer: -544, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -84 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174399.\nAnswer: 3, 61, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/14)\/((-8)\/(-28)). Suppose -2*h = 4*g - 8, 1 = 4*g - 4*h + 5. Solve -n*d + g = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 5034.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 11. Let x be p(4). Suppose 5*s - 4 = 2*s - j, -20 = -x*j. Suppose s = -4*d + 4 + 4. What is the nearest to d in -3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 14*g**2 + 24*g - 16. Let a be s(-11). Suppose -33 = -4*c + a. Suppose 4*u = 3*d + c, -3 = -3*u - 3*d - d. Solve -2*m + 12 = -u*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + q - 420. What is the highest common divisor of q and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/22)\/(31\/(-62)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*x - 41. Suppose -3*p + 2*i - 2 = 0, -3*i - 2*i - x = 4*p. Let d be (-12)\/45 - 8\/(-12). What is the nearest to d in p, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104450 and 12250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1218*a**5 - 189*a**2 wrt a?\nAnswer: -73080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 54\/36*(1 + 6\/(-9)) + 0\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011841 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyhhhrhoydoy. What is prob of picking 2 d and 1 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 + 4. Let j = 3083 - 3083.2. Let k = -0.1 - -0.1. Put k, y, j in increasing order.\nAnswer: j, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 4. Let j be n(-2). Let b be (-15)\/(-9) - j\/(-6). Solve -5*p - 13 = b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/3*l + 0 - 1\/6*l**2 = 0 for l.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75a6 + 2?\nAnswer: 75a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71564 + 214693\/3. Factor 0 + z*p + 1\/3*p**2.\nAnswer: p*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/6 + 2*s**3\/3 - 214*s + 39. Let m(w) be the first derivative of f(w). Determine k, given that m(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -28\/37 (b) 0.1 (c) -119 (d) 1\/5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2156 and 1887015284.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**3 + 15 - 14*o - 10*o**2 - 4*o**3 - 9*o**3 + 5. Let v be x(-8). Find the third derivative of 22*t**v + 21*t**2 - 10*t**4 - 34*t**2 wrt t.\nAnswer: 288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/7 + 58460*v\/7 - 427196450\/7 = 0. Calculate v.\nAnswer: 14615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10034*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1708)\/4270*10\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 r, and 1 n when four letters picked without replacement from {r: 7, y: 2, n: 1, v: 2, l: 7}?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 904200 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -37*z**2\/9 + 22990*z - 3728 = 0?\nAnswer: 6\/37, 5592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -3*w**6\/10 - 7*w**2\/2 - 2*w. What is the first derivative of d(p) wrt p?\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + l = -55, 0 = 136*k - 133*k - 4*l + 33 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1630703 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3765574 and -3765580 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 10) to base 8.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -2)\/(-3)*3. Suppose 5*f - v*g = -6*g - 144, 4*f - 3*g = -99. Let d = -4 - f. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -452*m + 5. Let h(n) = -2484*n + 28. Give -5*h(b) + 28*x(b).\nAnswer: -236*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -296, -289, -282?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 314491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, e: 6}. What is prob of picking 2 e and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/36)\/(1\/(-8)) - 4. Let u(z) = -26 + 24 + 6*z**2 + 0*z**d + 4*z. Let w(j) = -5*j**2 - 3*j + 1. Calculate -4*u(n) - 5*w(n).\nAnswer: n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4666 * -632.32\nAnswer: 295.040512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4633\/15 + 309. Let u = -10 + 12. Which is the nearest to 0? (a) d (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i + 5*y + 255 = 0, 61 = i - 3*y. Let k = i - 26. What is the remainder when (-875)\/(-15) - (-20)\/(-15) is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/54 + 4*m**3\/27 - m**2\/3 + 6*m. What is q in i(q) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 47*b - 308. Let x be u(-12). Let f(v) = 3*v**2 + 98*v + 63. Determine f(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*c + 38 + 102 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 9:08 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + 3*b - 3*b)*(-45 - 25 - 42) to the form q*b + x and give q.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**4\/4 - 2*c**3\/3 + 5*c**2\/2 + 6*c - 44. Determine g, given that i(g) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z. Suppose z*l = 2*l - 14. Calculate the remainder when 32 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -48, -17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83414 - -83416. Let -2\/5*g**5 + 0 - 6\/5*g**4 + 6\/5*g**f + 4\/5*g - 2\/5*g**3 = 0. What is g?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*13.747066\nAnswer: 13.747066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-4))\/(c*c**(-12)))**(4\/7) assuming c is positive.\nAnswer: c**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + h - 8. Suppose -2*z - 2*z = 28. Is l(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -1\/4*t**4 + 3\/2*t**3 + 0 + 0*t - 9*t**2. Let y(d) = 3*d - 5. Give 7*y(p) + 4*z(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 27 + (1 - 1) + -9 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 59*s - 1413. Let k be g(24). Solve 0*t = -3*a - 3*t, -k*a = -3*t + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*sqrt(64)\/sqrt(2).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*z + 1971 - 1971.\nAnswer: -238*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 55, -0.0401, 0.5, -3, 0?\nAnswer: -0.0401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 387.93309 + -388.3. Round y to three dps.\nAnswer: -0.367","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, 5\/6, -3, 32, 0.4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 - 2564*p**2 - 6217053*p + 1855139148.\nAnswer: -(p - 268)*(p + 5262)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28215875 and 2385?\nAnswer: 253942875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 639 and 45327.\nAnswer: 28963953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1567, 1567, 1571, 1579, 1591, 1607?\n\"Answer: 2*p**2 - 6*p + 1571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1755 and 7\/208?\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 1614.\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2996 - 2949. Calculate the remainder when 245 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 4686786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -4*g, -2*g = t. Solve t*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqjqljljlfljflqllllj. What is prob of picking 1 j and 1 l?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 60736 + 142184 = 30332. List the prime factors of l.\nAnswer: 2, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from crrrrrcorrrcrrcccrrc.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*p - 3*g, -4*p + 0 + 9 = -5*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3733 in 0.4, -1, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 - 50*z**2 - 405*z + 4050 = 0. Calculate z.\nAnswer: -9, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 2*z + 1. Suppose 0 = 5*s - 5*n + 2*n - 20, 4*n = 4*s - 24. Let g be q(s). Let m be g\/(-8) - (-567)\/56. Solve 0*x = 5*x + m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 241 in increasing order.\nAnswer: -8, -1, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -55\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (-6*(1 + sqrt(162)) - sqrt(162)) - ((-1 + sqrt(162))*1 + -3))**2*2 + 3.\nAnswer: 576*sqrt(2) + 20747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*b - 91 = -117*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(2*p - 9*p + 4*p + (3*p + 0*p - 5*p)*(3 - 3 + 2)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*28.6.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185624?\nAnswer: 2, 23203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -111*t**4 - 231*t**3 - 129*t**2 - 9*t = 0.\nAnswer: -1, -3\/37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 356015 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51416.9759 + 51425. Let j = c - 7.99. What is j rounded to 3 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18, 117, 394, 939, 1842, 3193, 5082?\n\"Answer: 15*u**3 - u**2 - 3*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25627570?\nAnswer: 2, 5, 43, 107, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 357011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284468329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxvzxzxvvzgzgvzzx. What is prob of sequence vvx?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3798645605 to 3 decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(40\/(-10)) - (0 + 2). Let a(d) = 3*d + 18. Let s be a(w). Solve -3 = 2*i - b - 0, s*b + 15 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -29106 - 228*n - 326*n + 29106. Let k(x) = 4*x. Give k(t(q)).\nAnswer: -2216*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - 3*q + 1 + 7*q - 3*q - 2*q + 7*q + (-4 + 4 + 2)*(4*q - 2*q - q).\nAnswer: 7*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3548.\nAnswer: 5\/3548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -361.782 + -0.218. Let g = -362.04 - d. Which is greater: -1\/8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/45 and -29\/58495.\nAnswer: 526455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and (-1)\/(-4) + (-70)\/(-8).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -743 - 217*c**4 + 743 + 58*c**4 + (1 - 1 + 2*c)*(c**3 - 3*c**3 + c**3) to the form r*c**2 + v*c + p*c**4 + o*c**3 + m and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -300750000 to the nearest one million.\nAnswer: -301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06600057 + 0.066. What is f rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 987*u**2 + 584*u**2 - 46*u**2.\nAnswer: 1525*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 - -2) + 4 + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/10 and 2\/31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10465, -5, -4, 4 in increasing order.\nAnswer: -5, -4, 4, 10465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -175361 (base 13) in base 11?\nAnswer: -368950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -417*d + 175 + 659 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (301047\/23)\/((-2)\/(-2) - (-12)\/24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0699421 rounded to three dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1 = -7. Let r(j) = 2. Let a(h) = -h**2 + 5. Let f(i) = -i**2 - 2*i - 4. Let p be f(-4). Let w = p + 7. What is c*a(t) + w*r(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**12*t))\/t)\/t**(7\/2))\/(t**(-2\/7))**44 assuming t is positive.\nAnswer: t**(-55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d\/(d*d**(-11)))*d)\/d**17)\/(d\/d**4*d*d)**(-48))**(-2\/33) assuming d is positive.\nAnswer: d**(146\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*k - 344 - 481, 0 = 4*k + 5*h - 662. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 - 10412*q**4 + 6349200*q**3 = 0. Calculate q.\nAnswer: 0, 975, 1628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 228224 (base 10) to base 13\nAnswer: 7cb59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1683*h - 825. Let z(w) = 4*w + 5. Give v(q) + 165*z(q).\nAnswer: 2343*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 29361.4766 to the nearest ten.\nAnswer: 29360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 21587212*n. Let b(x) = 4*x**2. Determine b(c(a)).\nAnswer: 1864030887731776*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 7*z**2 + 7*z - 18. Calculate g(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = t. Suppose -264 = m - t*m. Calculate the highest common factor of 33 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1464893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + 4*l**2 - 1. Suppose 4*n + 53 = -5*g + 17, -12 = -2*g + 5*n. Let a(t) = 2*t**3 + 3*t**2 + t - 1. Determine g*a(y) + 3*k(y).\nAnswer: -2*y**3 - 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(9*y - 4*y - 19*y)*(4 + 0 - 5).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 8 + 5*b**2 - 4*b**2 - 2*b**2. Let f be d(0). Calculate the remainder when 2\/f - (-2959)\/44 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/10 and ((-44)\/(-36) - 1)\/(6\/(-21)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by 25\nAnswer: -183\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/33 + -17\/33. Let s = 0.7 + -2. Which is the closest to 0? (a) v (b) s (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 1 + 0 = -l, 4*l = 2*k - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 75*b - 129 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45521*f**3*h**2 + 2*f*h**2 - 435133*h**2 wrt f.\nAnswer: 136563*f**2*h**2 + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {s: 5, x: 6, d: 2, o: 2, l: 3, g: 1}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 2, k: 4}. Give prob of sequence sks.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/22589 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + c**3 + 0*c - 5*c - 2*c**2. Let p be t(-4). Solve 2*f - p + 2 = -2*l, 3*f + 7 = 2*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, 219, 828, 2075, 4188, 7395, 11924, 18003?\n\"Answer: 38*r**3 - 23*r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-1\/8)*g**(-1)*(g**(2\/5)*g)\/g**7*g**(-9)*g**(-3\/4)*(g*g**(2\/5))\/g**(-7\/3) assuming g is positive.\nAnswer: g**(-1409\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151.4 or 1?\nAnswer: -151.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 10)*(-31*l - 33*l + 27*l).\nAnswer: 259*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7746?\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(192))**2 + 4*sqrt(48) - (sqrt(12)\/sqrt(4)*-2 + ((sqrt(24) + (sqrt(96)\/sqrt(4) - sqrt(24) - sqrt(24)))\/sqrt(8))**2).\nAnswer: 18*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11 + 41*m + 0*m**2 + m**2 - 7 - 41*m. Determine n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1493, 1452, 1411, 1370, 1329?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*h**2 - 28*h**2 - 108*h**2 + 54 + 94*h**3 - 54 wrt h.\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88427 - 15562997\/176. Let h = -17\/16 + s. Which is the closest to -1? (a) h (b) -0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-26)*r)\/(r\/(r*(r**(-18)*r*r)\/r)))\/(r**17)**(5\/12) assuming r is positive.\nAnswer: r**(-589\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*t = 22, 46*t - 45*t - 11 = -i. Solve -3*h - i = 2*u - 9, 0 = 2*u - 3*h - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.021, -0.3 in descending order.\nAnswer: 8, 0.021, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 l, and 1 r when four letters picked without replacement from zrrjkll.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v**(-1))**(10\/11)*(v*v**5\/v)\/(v*v**(-4\/7))*v**(-1\/12)*v*v\/((v\/(v**(1\/8)*v))\/v) assuming v is positive.\nAnswer: v**(22469\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, 0.1, -3\/28 in descending order.\nAnswer: 4, 0.1, -0.1, -3\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**4\/4 - 19*s**3\/6 + 11*s**2. Let a be y(4). Solve 5*c + 3*r = -7, -5*c + r = -3*c + a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470313 is divided by 8737?\nAnswer: 7252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 5*p - 86 = -149 + 20, p = -3*b + 14 + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/5 + 234*z**2\/5 + 3356*z\/5 + 624 = 0.\nAnswer: -12, -1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16371604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1492407 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21100493911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -187\/6. Let i = 124 + -118. Which is the smallest value? (a) 4 (b) i (c) 1\/2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7593288662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320751 is divided by 1910?\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55635.\nAnswer: 3, 5, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/7 + 332*f\/7 + 5066\/7 = 0.\nAnswer: -149, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 7*p + 8. Let c be d(6). Suppose c*y + 3*y - 20 = 0. What is the first derivative of 3 - y*z - 4 + 0*z - 3 wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1838 - 1668. Let x(o) = 13*o + 6. What is the remainder when q is divided by x(4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8501*w - 47 + 8606*w + 5*w**2 + 47.\nAnswer: 5*w*(w + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighty-seven fifths of a centimeter?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 2*w + 2*w. Let b(d) = 57 - 4*d + 14*d - 103 + 46. Give f(b(o)).\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 - 3*d**2 + 3*d**2 + (2*d - d + 2*d)*(-34*d - 2*d - 19*d).\nAnswer: -167*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03859 - 26.94859. Round b to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0 + 0*o - o**2 + 0*o**3 + 1\/30*o**5 + 0*o**4. Let d(p) be the third derivative of 5*p**4\/24 - 2132*p**2. What is d(h(z))?\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*g**2 - 2137*g**6 + g**5 - 3*g**2 - 7 - 7*g**2 + 2087*g**6 wrt g.\nAnswer: -6000*g**3 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -47*z**3 + z**2 - 2*z + 2. Let c be h(1). Let y = c - -55. Let n(u) = y - 10 + 1 - 2*u**2. Let o(b) = -16*b. Determine n(o(a)).\nAnswer: -512*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 2231?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = c + 9, -b + 30 = -6*b - 5*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -204 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -15 - 4 - (-184 + 160)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {v: 13, d: 2, b: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + j**2 + j)*(-35 - 3 - 222) to n*j**2 + q + d*j and give n.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/15 and 143\/2323500.\nAnswer: 2323500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-47 - -43) + 7 + (-1 - 10) + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -156*t + 1246. Determine r(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 0 - 12*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2548991500 rounded to the nearest 1000000?\nAnswer: -2549000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 2, j: 2, f: 1, t: 2}. Give prob of picking 2 t and 1 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*q - 0 - 6, -5*i - 4*q = -13. Sort 2, 1, i in descending order.\nAnswer: i, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24\/11 - -83\/33. Let m = -45 - -181\/4. Let j = -3 + 3.5. Which is the closest to m? (a) j (b) g (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-44)\/(-110))\/((-2 + -20)\/220). Suppose 5*i + 0 = 10. Sort 23, p, i, -1 in descending order.\nAnswer: 23, i, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*s + 6. Let p be s*((-2)\/(-3) - 1). Is 0 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Suppose -17 = 3*k - 2*n, 0 = -2*k - k - 3*n - 27. Let y = k - -6. Put 0, f, y in descending order.\nAnswer: 0, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 23*x**2 - 63*x - 28. Let b be d(-20). Suppose -51 = -b*g + 12909. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 v when three letters picked without replacement from vnngcypv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51874493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.032 + -72.032. Let m = -240 + 311.8. Let o = m + t. What is the third biggest value in o, 2\/15, 3, 0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2542 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 132802\nAnswer: 1\/132802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 9:19 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14*p - 1. Let x(n) be the second derivative of -7*n**3\/6 + n**2\/2 + 2*n. Let z(d) = -2*u(d) - 5*x(d). Find the first derivative of z(w) wrt w.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rggrr. What is prob of picking 3 r and 1 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 392\/6 + (-3)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**4 + 4112*f + 4*f**4 + 1 - 2920*f to x*f**2 + z*f**4 + w*f**3 + t*f + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 13*a**2 + 12*a - 101. Let p be j(12). Let o be (-24)\/21*(-35)\/10. Let q be p\/(-5) + o\/(-20). Solve 3*z - q = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:46 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 1 + 1)*(u**2 - 33 - 15 + 261).\nAnswer: u**3 + 213*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -597 times -0.2\nAnswer: 119.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0*k**2 + 5*k**2 + 1 - 6*k**2 + 0 + k. Let j(c) = 4*c + c**3 - c**2 + 5 - 4*c**2 + c. Let l be 8\/(-6)*(-21 - 6\/(8\/(-8))). Determine l*a(x) - 4*j(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*n + 53*n + 73*n + 65*n + 46*n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 + (-30 - -24 - (-3 - 8) - 31)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46259, -369424, -1246415, -2954144, -5769523, -9969464, -15830879, -23630680?\n\"Answer: -46152*h**3 - h**2 - 98*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 75, 65, 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/((v*v**3\/v)\/v))))\/v)**(-23))**40 assuming v is positive.\nAnswer: v**1840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 829*b - 743*b - 13568 + 3592 for b.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. Let i = -12\/7 - -31\/14. Find d, given that -i*d**a + 0*d + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 368?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*0.38094\nAnswer: 0.0990444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - 2*t + (-1 + 3 + 0)*(0*t + 2*t - 4*t) + 4*t - 3*t + 2*t)*(-2 - 2 + 3).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670329401.\nAnswer: 7, 7823, 12241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgkk when four letters picked without replacement from {d: 1, g: 1, y: 3, k: 2, m: 4}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 4*s**3 + s**2 - s + s as l + z*s**2 + t*s + a*s**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*(1 + -865). Let f(d) = -d**3 - 3*d**2 + 3*d + 1. Let w be f(-4). Suppose 161 = 4*r - j - h, -w*j = -r + 134. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1048 = 2*d - d. Suppose -4*f = -4*w - d, -3 = -2*f + 3*f. Let t = -138 - w. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -11.93. What is the smallest value in d, 1, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -12*k + 30. Suppose 0 = y - k*w - 1047, 2*y - 5199 = -3*y - 3*w. What are the prime factors of y?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42839 (base 10) to base 15\nAnswer: -ca5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**4\/3 - 36667*l**3\/3 + 64197*l**2 - 192608*l\/3 + 36688\/3 = 0.\nAnswer: -9172, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 20. Suppose 3*m + 4 = 5*b, y*m - 1 = 3*b - 3. Solve -1\/6*s**4 - 1\/6*s**m + 0 + 0*s + 1\/3*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 396 + -400. Let j(o) = o**3 - 9*o**2 + 7*o + 7. Let s be j(8). What is the nearest to s in -0.4, 4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177132171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a9 + -6da?\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-22)\/(-99))\/((-1)\/(-9)))\/(14\/14). Solve q + c = -4*f, -7*q + 8*q - 1 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -8*d**3\/3 - 59*d**2\/2 + d + 1. Calculate the remainder when 78 is divided by f(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**2*k**5 - 35*g**2*k**2 + 2457*g*k**6 - 625*g*k**2 wrt k.\nAnswer: 180*g**2*k**2 + 294840*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230947060 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**5\/30 + 2*n**4 - 48*n**3 + 3*n**2 - 35. Let v(d) be the second derivative of j(d). Factor v(w).\nAnswer: -2*(w - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73.63 - -74. Let w = i + 0.13. Suppose 4*l - l - 3*o - 24 = 0, -6 = 3*l + 3*o. Sort w, l, -1 in decreasing order.\nAnswer: l, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 22*w**2 + 34*w - 8. List the prime factors of x(-20).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -2133?\nAnswer: -2133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15544 (base 8) to base 5\nAnswer: 211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, c: 2, t: 3, k: 4, e: 3, s: 2}. Give prob of sequence ttkt.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/2 + 11*o**3\/6 + 11*o**2\/2 + 55*o. Is w(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7312313?\nAnswer: 67, 109139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d + 2. Suppose 5*p = 4*p. Let l be r(p). Factor -j**4 - j + l*j**3 + j**4 - j**5.\nAnswer: -j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2. Let n(j) = 6*j. What is p(n(s))?\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -328, -489?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, -76, -7, -94 in ascending order.\nAnswer: -148, -94, -76, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 less than -13?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 248293931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6)*90\/6. Does t = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14306 - 13498. What is the remainder when b is divided by 197?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -615280*j**5 + 26046*j + 13 wrt j?\nAnswer: -12305600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0\/(-4)) + (-77)\/99.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -360*i**4 - 24916*i**2 + 22902792*i wrt i.\nAnswer: -4320*i**2 - 49832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-1 + 2))*-2. Suppose -4*s = a - 0*s - q, -5*a = -5*s - 5. Suppose -2*d - a*d + 80 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351454776.\nAnswer: 2, 3, 3169, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*3.3.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 44*v + 1050 = -4*v. Let b = -33 + 18. Let c be 138\/5 - 6\/b. What is the greatest common factor of v and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b + 50. Suppose -547 = -153*k - 289 + 507. Let r(g) = -2*g - 25. Calculate k*r(m) + 2*j(m).\nAnswer: -2*m - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3744*o + 4474 + 1455 = 3205*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 1, r: 1, a: 3}. Give prob of picking 1 r, 1 a, and 2 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 8708654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpgppgpppcgcgpgcgp. What is prob of sequence gppg?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.36 - 0.09. Let y = -3.6 + 3.65. Let i = y - s. What is the biggest value in -0.3, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 18 = 2*z - z, 4*z - 5*p - 72 = 0. Let h = 28 - z. What is the lowest common multiple of 5 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183214153 by -183214153.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70*4\/84*7\/((-12)\/27*-9).\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3803.\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224673?\nAnswer: 3, 74891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 15, d: 3}. Give prob of sequence edd.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 1:03 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 5*n + 10 = -3*k, 7*k + 4*n - 46 = 0. Sort k, 2\/9, 4, 3, -1.\nAnswer: -1, 2\/9, 3, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 792, 627, 466, 309, 156?\n\"Answer: 2*d**2 - 171*d + 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 15. Let h be ((-2)\/(-4) + -1)*0. Let y be n(h). What is the units digit of 189\/y - (-6)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -650 + 4554\/7. What is the third biggest value in t, 26, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**4 + 10*m**3 - 27*m**2 + 11. Let f(t) = 8*t**4 + 8*t**3 - 26*t**2 + 10. Let r(d) = 6*f(d) - 5*x(d). What is the third derivative of r(v) wrt v?\nAnswer: 72*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -466 and 11.\nAnswer: -5126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h. Let n(l) = 6*l + 2. What is t(n(a))?\nAnswer: -60*a - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -13*z + 2. Suppose 0 = q + 4, -n + q + 17 = 0. Let s(p) = -3*p + 14*p - n*p. Calculate s(t(x)).\nAnswer: 26*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98357338 divided by 23.\nAnswer: 4276406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(2\/(-2))\/(2\/1). Suppose 0 = -p*u + 3*y + 27, 0 = -u - 4*u + y + 57. Suppose -172 = 8*t - u*t. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -421 greater than 5012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 5*o + 4*o)*(0 + 0 + 4*o**2)*(-5 + 4 + 4).\nAnswer: 84*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*d = 231, 0*f - 117 = -f + 2*d. Is 37 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 - 4*k - 3. Let j(t) = t**2 + 2*t + 1. Suppose 4 = -5*c + 29. Let a(s) = c*j(s) + 2*h(s). What is the units digit of a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 314.4 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - 68\/(-16). Let w be (r - 5)*(-1 - 12). Calculate the greatest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1425*j - 426*j = 358*j + 480*j - 8050 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 3. Is (1\/(-6)*x)\/(4\/16662) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a - 19. Let n(c) = -12*c**2. What is f(n(z))?\nAnswer: 84*z**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(0 + 1)\/(-1). Suppose 9*w = 11*w + 6. Which is the nearest to -1? (a) 0.2 (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8657901*k + 8657901*k + 16*k**2.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 2.9. Let u = 6 - 6.6. Let x = -482 + 481.8. What is the third biggest value in u, p, -4, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014735 rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/213 and 25\/207.\nAnswer: 14697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 762 + -47260033.\nAnswer: -47259271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(12) + -1 + 0)**2 + 3.\nAnswer: -4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14 + 5 - 7)*(-21)\/2. Let i = -3 - -5. Suppose 0 = -5*v + i*v + p. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b + -93c?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/4)*o**(-1)*o**(3\/5)*o\/o**5)\/((((o*o**(-3\/2))\/o)\/o)\/(o**1\/o)*(o\/o**(-8))\/o*o**(-2\/31)) assuming o is positive.\nAnswer: o**(-6873\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11 + x**2 - 7 - 3. Let m(s) = s + 2. Let q be m(2). Let j(u) = 1. Let t(d) = q*w(d) - 2*j(d). What is the first derivative of t(v) wrt v?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**7\/70 + t**3\/6 + 3*t**2\/2 + 2. Let r(d) be the second derivative of j(d). What is the first derivative of r(y) wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x**2 - 55*x + 79. Let d be o(-8). Let u = 3 + -3. Suppose b + 2*b = u. Sort d, b, -1 in ascending order.\nAnswer: -1, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 858514500 + -3?\nAnswer: 858514486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 46 + 148*c + 70*c - 218*c + 46.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 2*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - -23?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000124733703 rounded to seven dps?\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m**3*v - 298453*m**3 + m - 2820637*v wrt m.\nAnswer: 54*m*v - 1790718*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9501965 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 2. Suppose 0*l + l = 7. Let t = 11 - l. Give q(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5772034.\nAnswer: 2, 23, 179, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 5 - ((-32)\/12)\/(-2). Let h = 35 + -31. What is the third biggest value in q, -4, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydykmmkmdmymmmm. Give prob of sequence dykk.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(5 - 3 - 4 + (3 - 2 - 3)*(3 - 5 + 3) + 2 - 1 + 0)*(-5*j + 10*j + 7*j).\nAnswer: -72*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/9)\/(q**2*q)*(q*q*q**0*q*q)**0 assuming q is positive.\nAnswer: q**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73066409 is divided by 2745?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {v: 4, l: 7, p: 1, y: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2688*h**5 - 648*h**3 - 724869*h wrt h?\nAnswer: 53760*h**3 - 3888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((1 + sqrt(1700) + 3 - (1 + sqrt(1700))*-4)*3 + 2)*-4)**2 + 2 + -2.\nAnswer: -18392448 - 374400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*h**2 - 9*h**2 - 15*h**2 + (2 - 2 + 4*h)*(-4*h + 3*h + 3*h) + (-5*h**2 + h**2 + 3*h**2)*(-6 + 2 + 3) to k*h**2 + p + r*h and give k.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9621 - 18990 - 4*r + 9369.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 80492904.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*c + 108 = -62, 4 = 4*c. Let i be 24\/j + 3\/7. Let u(g) = g + 1. Calculate u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - (6 + 4527\/(-411)). Let n = z + 133\/274. Which is the nearest to -0.1? (a) 2\/3 (b) n (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 184076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579 a factor of 8507637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 - 107. Suppose -3*r - 36 = -3*p, 2*r + 13 = -3*p + x. What is the remainder when 83 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -70.7. Let q = x + 70. What is the closest to q in -1\/10, 1, -3\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -47*y**4\/4 - y**2\/2 - 91*y - 1166. What is the derivative of m(s) wrt s?\nAnswer: -141*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571735599 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(10212\/(-3663)))\/(((-102)\/(-36))\/(-17))\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q**2. Let f(s) be the second derivative of -s**4\/3 + 37*s. What is f(k(w))?\nAnswer: -324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -157\/20 (b) 0.2 (c) 0.4 (d) 5 (e) 1 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4116*q + 4128*q + 36 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -626*w + 2041. What are the prime factors of f(-17)?\nAnswer: 11, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwxawmwmwwwwww. What is prob of picking 2 m and 1 w?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -12*g + 153. Let h(z) = 12*z - 13. Let a be h(2). Let f be w(a). Solve f = -3*m - 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - 3*h**2 + h**2 + (-407*h - 182*h + 155*h)*(3*h - h + 6*h) to the form z + v*h**2 + s*h and give v.\nAnswer: -3470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1206649*i**3*w + 2*i**3 + 1018901*i**2*w + i**2 wrt i.\nAnswer: 7239894*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 38*w**3 + 4*w**2 + 20*w + 130. Let v be q(-5). Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1. Suppose -3*c + 2*o + 4 = 0, 5*o - 40 = -7*c + 2*c. Suppose -z + 2 = c. Let g(v) = 2*v + 2. What is z*b(m) - g(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 1, f: 4, u: 2}. What is prob of picking 2 f?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1844340 and 881460.\nAnswer: 459240660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - -7. Let d = a - 282\/7. Let c = 1.35 - 1.55. What is the third biggest value in -3, c, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-342)\/(-45) + -3)*-2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10075 and 24385375.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288))**2*-6 + (1 + sqrt(2) + sqrt(2) + -2)*6.\nAnswer: -1734 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*m**2 - 30*m - 141*m**2 - 31*m + 40*m + 21*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from hhhv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 5\/2)*2. Suppose -2*r + 11 + 0 = -5*q, -a*q - 3*r - 15 = 0. Let n = q + 4. Which is smaller: n or -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 17, g: 2}. What is prob of sequence gg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142253384, 284506760, 426760130, 569013494, 711266852?\nAnswer: 853520204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 - 51. Put 7, b, -3 in increasing order.\nAnswer: -3, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w + 2*d + 1209, 5*d + 3623 = 3*w. List the prime factors of w.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -2\/17 (c) 25 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 13. Let b be v(9). Let z(s) = s**3 - 9*s**2 - 13*s + 12. Let h be z(10). Let j = -13 - h. Solve -2*m = 5*k + 3*m - j, -2*k + b*m = 26 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4235, -7456, -10677, -13898, -17119, -20340?\nAnswer: -23561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2299))*3)**2.\nAnswer: -396*sqrt(19) + 20727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**1*o)**(-45\/4)*(o**2)**(-2\/7) assuming o is positive.\nAnswer: o**(-331\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 37\/(-33))*3144\/2096. Sort -3\/7, 0, -1\/5, w, -2\/71 in increasing order.\nAnswer: -3\/7, -1\/5, w, -2\/71, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 g when four letters picked without replacement from vvvgvdggvjjjsgg?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*i - 392. Suppose -2*f = -5*m - f - i, -69 = 3*m + 4*f. Does 7 divide (m - 3)*4\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v + 12 = 4*m, -5*m = -2*v - 15. Suppose 4*w = -v*w - 20. Let l(r) be the third derivative of -r**5\/60 - r**4\/4 + r**3\/6 - 2*r**2. Calculate l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 59. Let r(g) be the third derivative of 0*g**4 + 0 + 2*g**l + 0*g**3 - 1\/10*g**5 + 0*g. Let f(c) = 2*c. Determine r(f(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15727983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335854445?\nAnswer: 5, 227, 499, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = q - 25, -3*k + 0*k + 79*q - 68*q = 419 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3100, 3098, 3096, 3094, 3092?\n\"Answer: -2*g + 3102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjuujujujuuu?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q - 3. Let c = 1 - -3. Suppose x = -c*x - 15. Does 7 divide u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6863.1 + -4546.\nAnswer: 2317.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-525))\/6*-14.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)*x*x**3)**(-23) assuming x is positive.\nAnswer: x**(-253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*m**3 - 156*m**3 - 121*m**3)*(-3*m - 2*m**2 + 3*m).\nAnswer: 600*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-198))\/(13\/((-1001)\/(-70))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*sqrt(85)\/sqrt(5).\nAnswer: -5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44904.45um in centimeters?\nAnswer: 4.490445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 337.858 and 13.7.\nAnswer: 4628.6546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 26450 = -7648. Suppose -i = 5*u - v, 3*u - 8 = 1. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39.665 from 4.\nAnswer: 43.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 28611960*r**3 - 54576455340120*r**2 + 34701420361335455840*r - 624607883899372432080.\nAnswer: -5*(r - 1907458)**3*(r - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41868.\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, 0.1, 231, -903, 0.5 in descending order.\nAnswer: 231, 0.5, 0.1, -0.2, -1, -903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47239638 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1 + 4 - (53 + -1 + 41)) + 10.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*b**5 - 12*b**5 + 2 + 2*b + 7*b**5 + 3 - 2*b**3 wrt b.\nAnswer: 220*b**3 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b3824 (base 12) in base 5?\nAnswer: -303323123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**3\/6 + 51*s**2 - 2*s. Let u be -3 + (-8 - -10) + 2\/2. Is 34 a factor of f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let j(t) = 26*t - 1. Let k(v) = -81*v - 21. Let b(i) = 3*j(i) + k(i). What is u(b(z))?\nAnswer: 3*z + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5 - 26. Let l be 102\/n + 24\/56. Solve 0 = -4*h + h - l, 0 = -5*z + 2*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 6*h**2 + 4*h - 8. Let c be (4 - (-14)\/(-4))*2. Let z be (-6*(-2 + 1))\/c. Let f be n(z). Solve -f + 4 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189*u**5 - 20*u**4 - 378*u**3 - u**2 - 13955474 wrt u?\nAnswer: 11340*u**2 - 480*u - 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73840936.\nAnswer: 2, 13, 710009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*k - 29 + 34, 5*k - 5 = -o. Let v(r) be the second derivative of 0 + 1\/6*r**3 + 5\/12*r**4 + 1\/20*r**o + 5*r + 2*r**2. Give v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 220.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 39 = 5*z, -8*q + 7*z = 99 - 120 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 221906 at least 221908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.05, 0, 25\/12, -1 in increasing order.\nAnswer: -5, -1, -0.05, 0, 25\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {w: 7, t: 11, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1344, -2665, -3996, -5343, -6712, -8109, -9540, -11011?\n\"Answer: -h**3 + h**2 - 1317*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/169237325 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1112*k**3 - 280*k**2 + 3 wrt k?\nAnswer: 6672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1259, -5, 3, 0 in descending order.\nAnswer: 1259, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 11, 35290 in decreasing order.\nAnswer: 35290, 53, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.098 * 0.1951.\nAnswer: -5.0917198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 122*i - 18 = -120*i, -3*i = -2*d + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.5 + 4. Let c be 30\/24*(-3 + 21\/9). What is the nearest to -0.1 in -4, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -88, -208, -384, -622, -928, -1308?\nAnswer: -1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 15. Suppose -g + q = -12. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -10 (c) -3 (d) 4\/11 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -298.\nAnswer: 268.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 809761 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 45*h**2 + 88*h + 3. Let b be d(43). Suppose -b = 3*p - 3395. What are the prime factors of p?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309223 - 212822 = 7423*r + 511718 + 616480 for r.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91*i + 39*i - 3*i**3 - 268*i**2 + 49*i + 269*i**2 - 15 to the form u*i + p*i**2 + r*i**3 + q and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 69 = t. Let b = -17 - t. Let v be b\/(-4) + (-36)\/(-24). Put 3, v, -1 in decreasing order.\nAnswer: 3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 8*o**3 - 16*o**3 + 4*o**3.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7 and -0.02970335?\nAnswer: 0.72970335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1871*m + 46781. Calculate s(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 9*d + 19600 = 2*o, -5*o - 4*d = -48964. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1*(-2)\/(-6)). Solve -r = -3*a - 16, -r - 11 - 3 = v*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*u = -28, 3*u = -4*p + 8*u - 21. Which is bigger: -2\/3075 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 47*q - 266. Let r be a(-7). Solve -2*m = -2*o, 4*m + 4*o + 10 = -r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*p - 17 - 7 = 0, 2*h + p + 7 = 0. Let x be (6\/8)\/(h\/(-20)). Find the third derivative of -9*f**4 + 7*f**3 - 19*f**3 + 6*f**2 + 12*f**x wrt f.\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51.3 - -51. What is the biggest value in 2\/3, -5\/11, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -277 - -3531?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/((-66)\/72). Sort y, 0.3, 3\/2.\nAnswer: 0.3, y, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*-1)\/((-4)\/(-34)). Let m = -1298 + 1261. Let p = f - m. What is the remainder when p is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2. Suppose -7 = -4*l + 1. Suppose -4*s + 24 = l*v, -3*s + 17 = v - 0. Let h(f) = 2*f**2 - 4*f**2 + 2*f**2 - 2*f**v. What is y(h(i))?\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 13*k**2 + 6*k + 27. What are the prime factors of y(13)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344, 698, 1050, 1400, 1748, 2094?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26241922 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66189997\/22 - 3002645. Let b = 5993 - y. Calculate the common denominator of (((-1)\/(-1))\/1)\/10 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439570916 to the nearest integer?\nAnswer: 20966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + 3 + (2 + 1 - 1)*(6 - 4 - 1))*(-2*b - b - 2*b)*(1 - 1 - 1).\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y + 6062 = -35*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -323 + 322.99863. Round t to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17201089?\nAnswer: 29, 593141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-6 + 3))*2. Suppose 3 = -y + 3*d - 3, d = 5*y - h. Suppose -3 = y*z, -4*k - 13 + 61 = 4*z. Calculate the highest common factor of 91 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.54367 and -0.792.\nAnswer: 0.43058664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f + 34*f = -142 + 736 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 11*t + 26. Let z(j) = -41*j + 1464. Let h be z(36). Give y(h).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*h)*(h - h + h) + 0*h**2 - h**2 - 2*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.121 + 0.120889. Round u to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, j: 1, i: 1, x: 4, l: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + -6*(sqrt(304) + -2) - (sqrt(304) + ((-1 + sqrt(304))*-3 - sqrt(304)))*-4))**2.\nAnswer: -75600*sqrt(19) + 2473425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.6*-2.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77\/213 - 2\/71. Let w(l) be the second derivative of -1\/6*l**4 + 0 - 2*l - z*l**2 - 4\/9*l**3. Let w(a) = 0. What is a?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 - 1.69. Let r = -1.5 + x. Which is the second smallest value? (a) -2 (b) 1\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 minus -78826278868?\nAnswer: 78826278841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/18)\/(1\/(-2)*-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 744 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (0 - 0)) + (9 - 3 - (151 + -121))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 != 170\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 6*a**2 - 5*a. Determine y(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -72. Let p(i) = i**3 + 9*i**2 + 17*i + 21. Let r be p(-7). Suppose 0 = -4*l + w + 69 + 38, r = -w + 5. Is l > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 20*c**3 + 29*c**3 + 6 - 7.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -35. Let y be (34\/6)\/((-2)\/(-6)). Let q = d - y. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnfnnnnnnnnnnnnnnnnn.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/43648 and 95\/4?\nAnswer: 43648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 2*r + 5*r - 14*r**3.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13359746249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 19, 5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -64*(-30)\/5760*141\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -145*o**2 + 23613*o + 121695. Determine n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**4\/24 + c**3\/6 - c**2 - 2*c - 3035. Let j(v) = v + 1. Give -2*d(t) + 3*j(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.28562 micrograms to tonnes.\nAnswer: 0.00000000002728562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -587566327404 and 1.2.\nAnswer: -587566327402.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -3*l**2 + 0*l**6 + 1\/110*l**5 - 1\/1155*l**7 + 0*l**3 - 1\/66*l**4 - l + 0. What is d in i(d) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 8*q**2 - 8*q - 2. What is i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 40828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*v**5 - 15941*v**4 - 168324*v?\nAnswer: -600*v**3 - 191292*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*z = -18, n + 1 = -3*n + 5*z. Let s be (-5)\/((-75)\/5) - 14\/(-4). Let m = s + -9\/2. Which is the nearest to m? (a) 0 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = -2*p + 120 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159 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 (((6156\/270)\/(-19))\/((-11)\/5))\/(4\/(-2))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -3. List the prime factors of h\/(-4) + (-79)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q + 5*o + 59685 = 19*q, 5*q = -4*o + 59658. Does 153 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 473088 and 20229?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1, 14 in descending order.\nAnswer: 19, 14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + l**3 + 3*l**4 + 3*l**4 + (-2*l - 4*l + 4*l)*(l**3 - 5*l**3 + l**3) - 2*l**4 - 5*l**2 + 5*l**2 - 2*l**4 - l**3 + l**3)*(-69*l - 126*l - 234*l).\nAnswer: -2145*l**5 - 429*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-209)\/176)\/(7*(-10)\/280).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4702 divided by -2351?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1147, 2068, 2753, 3190, 3367, 3272, 2893?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 2*v + 3. Let t be j(4). Let g be -5 + (2 - -2) - t. Let y = g - -16. Calculate the greatest common factor of 20 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 at most as big as 1195761\/1229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 126, 187, 248, 309?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 0.2, 0, 2\/299, -3\/5, -2.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3 + 12696*b**2 + 643174*b + 5541360 = 0.\nAnswer: -6297, -40, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:27 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 52550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 5. Let k(z) = -2 - 36*z + 16*z + 19*z + 3. Determine -h(i) - 2*k(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v**2\/2 + 9*v = 0.\nAnswer: -6\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 12*o = 0. Suppose i = -3*g + 23, 0 = -3*g - 4*i - o*i + 38. List the prime factors of (2\/g)\/((-8)\/(-1056)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -520 - -863. Is g a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -279 - -283. Let i(b) be the second derivative of 1\/3*b**3 + 1\/18*b**q + 0*b**2 + 6*b + 0. Factor i(n).\nAnswer: 2*n*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1388 - 1370 + 2758 - 23*d - 15*d.\nAnswer: -38*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 0.049.\nAnswer: -0.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 - 294 = 173*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:52 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52 - -175056?\nAnswer: 175004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 3288 = -4*u - 7*u. What is the remainder when u is divided by 179?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173403 is divided by 117?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 10:22 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -957 greater than or equal to -933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7822, 10651, 13480, 16303, 19114, 21907?\n\"Answer: -k**3 + 6*k**2 + 2818*k + 4999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (49\/(-5880)*-8)\/(9\/(-5))\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 9 + 3*t**2 + 6*t - 3*t**2. Calculate the least common multiple of n(-6) and 2\/3*-3*-1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 5) + (-8 - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from yyonnyonynnyyyyynn?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1\/2, -1\/4, -0.11, -4\/5, -925?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 15 - 9 = 0. Which is smaller: v or 8\/25?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111101011011100 (base 2) in base 6?\nAnswer: -3252232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 5*b**2 + 4*b**2)*(2*b**2 - 2*b**2 - 2*b**2)*(-3 + 3 - 3) + (-2 + 1 - 1)*(b**4 + 5*b**4 - 4*b**4) - b**3 + b**3 + 3*b**4.\nAnswer: -19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1dd3 - 16?\nAnswer: 1dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -12*b**2 - 8*b - 2. Let a be y(5). What is a rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68741695?\nAnswer: 5, 11, 1249849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**6\/120 - g**5\/12 - g**4\/8 + 2*g**3\/3 + g**2\/2 - g. Let t(l) be the first derivative of h(l). What is t(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*z**2 - 9*z**2 + 22*z**2)*(5*z + 1 + 4*z**2 + 15*z - 26*z) to y*z**2 + i*z**4 + w + p*z**3 + l*z and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -0.027713?\nAnswer: -0.27713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 23450 - 23376 = 5*s, -5*s - 22 = 2*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d**3 + 3*d**2 - 7*d + 4. Let x(k) = k**3 + k. Let a(h) = c(h) + 6*x(h). Suppose 3*t - 6 = t. Suppose -7*f = -t*f - 12. Give a(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 59\/3, 1\/2, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 7*b**2 - 84*b - 7. Is r(14) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/27)\/(p\/(p\/(p*p\/(p**(-7\/5)*p)*p*p*p))) assuming p is positive.\nAnswer: p**(-739\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*o - 58, 32 - 123 = -5*w + o. Let t = w + -11. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = -r - 7, -4*l = -r - 13. Sort 0.3, 2, l.\nAnswer: 0.3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0179 in 2, -2\/73, 2\/7?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7574*-0.5\nAnswer: -3787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*n - 4, -24*b = -20*b + 2*n - 2. Let o(r) = 2*r - 3. What is o(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5807 + 1405. Let o = z - 7212.000003917. Round o to seven decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 11:57 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10504 or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -0.1 (c) 0.4 (d) 2 (e) 65.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 12 = 673*q - 672*q, -36 = 2*f + 5*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62478 divided by -351?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27877 is divided by 13932?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**6\/5 + z**4\/4 - 2*z + 3. Let d(u) be the first derivative of l(u). Find the third derivative of d(b) wrt b.\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*l**2*w - 123*c**2*l**2 + 2*c**2*l*w - 4*c**2*l + 2*c*l**2 - 3*c*w wrt l.\nAnswer: -4*c**2*w - 246*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*s + 1117338 = -849757 + 10054570. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 8, u: 4, r: 1, x: 1}. Give prob of sequence uo.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2. Let n(q) = q**3 + 3*q - 2. Let s be n(1). Calculate f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = 2, -2*b = 2*t - 50. Let a(p) = p**2 - 6*p - 70. Let w be a(-6). Suppose 0 - 36 = -w*r. Calculate the smallest common multiple of b and r.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227203587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34505 times -5839?\nAnswer: -201474695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3449642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v - 1. Let c(p) = 3*p**2 + 2*p + 4. Suppose -q - 4*r = 2, -13*q + 5 = -12*q - 3*r. Calculate q*y(i) - c(i).\nAnswer: -i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 3) + 3 + -22. Let f = v - -42. Calculate the greatest common factor of 55 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2 - 65*w - 1 + 66*w - 1. Determine b(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 636255 and 153?\nAnswer: 10816335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 3*n + 4*f, -4 + 0 = -2*f. Let v be (28\/35)\/((-2)\/n). What is the derivative of 3 - a - v + 11*a wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/29077 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2416 + 2206 = -14*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (10 + 7)\/(1 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3671940 and 13148?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 4 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/25 - 112*y**3\/25 - 1326*y**2\/25 + 1368*y\/5 - 216 = 0.\nAnswer: -30, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1364*y - 1369*y = -4*a - 11, -14 = 4*a - 2*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 79\/111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**3 - 4*q**2 - 2*q + 2. Let u(x) = -10*x**3 + 13*x**2 + 6*x - 7. Give -7*o(b) - 2*u(b).\nAnswer: -b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -160*g + 32. Let y(b) = -9*b + 2. Let r(i) = -4*j(i) + 72*y(i). Let t = -27 + 14. What are the prime factors of r(t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147173796 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*((0 - 1) + 3). Let l**4 + 6*l**2 + 0*l**4 - l**2 - 4*l**m - 2*l**3 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1446864 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (10 + -27)) + 13 + -4 - 6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1715)\/(-2058))\/((-5)\/(-7)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15463976*p**3 - 6761536*p**2 wrt p?\nAnswer: 92783856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.748 - 169.552. Let n = q + 171. Which is the fourth smallest value? (a) -2 (b) -3 (c) n (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175725 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.56 to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -637 - 12?\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from zmm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 + 2*q**5 + 10*q**5 + (-4 - 2*q**2 + 4)*(8*q**3 + 20*q**3 - 7*q**3).\nAnswer: -27*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7299 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 2268070.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 18 = 17*h. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 7. Suppose 5*d = 2*d - 15. What is the lowest common multiple of 10 and j(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - -1) + (-1 + 18 - 7 - -2) + -5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*g - 13 = 9, 0 = -2*b + g + 29. Solve 14*o + b + 82 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**8\/(c**(1\/6)\/(c**(-1\/9)\/c*c))*((c*c**0\/c*c)\/c**4)\/(c**(2\/3)\/(c\/(c**(-5)\/c))) assuming c is positive.\nAnswer: c**(55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*j - 6 + 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l + 7. Let w(g) = -5*g + 10. Let y(k) = -3*t(k) + 2*w(k). Let a(d) = 8*d - 5. Calculate 2*a(b) - 9*y(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.9. Suppose -2*w = 10, -l + 3*w = -2*l - 8. Is p at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5812545 to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0*q)**(-12))**(8\/11)*((q*q\/(q**1\/q))**(1\/53))**(1\/22) assuming q is positive.\nAnswer: q**(-925\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(135))\/sqrt(9)*-4)\/(-6*(sqrt(5) + (sqrt(5) - sqrt(45) - sqrt(5))) - (sqrt(20)\/(sqrt(16)\/sqrt(4)) - sqrt(5))) + 4.\nAnswer: -sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.95 + 16.91. Let j = -228.0495 - -228. Let v = j - p. Round v to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c**4 + c**3*m*x + c**2*m*x - 24*c*m + 2*c*x - 2*m wrt c?\nAnswer: 60*c**2 + 6*c*m*x + 2*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -6 (c) -4 (d) 5 (e) -3 (f) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1568\/336)\/((7\/((-21)\/8))\/((-42)\/(-6)))\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = v. Is (-482)\/v - 9\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 884419 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 63*o**4 - 2*o**3\/3 - 219*o**2\/2 + 638. Find the third derivative of l(q) wrt q.\nAnswer: 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39\/5 - -409\/55. Let f = -56 + 111\/2. What is the nearest to f in -0.1, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 8) to base 5.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 294084008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1768, 2594, 3420, 4246?\n\"Answer: 826*s + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**4 + 25*d**2 - 54.\nAnswer: -8*d**3 + 50*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 4*j**2 - j - 2. Suppose 4*f = 3*d - 7, -2*f = -2*d + 4 - 0. Let n be u(d). Solve -n*h + 0*h - 6 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:53 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15 - 9\/18*-18. Let n(i) = 19*i + 117. Let f be n(k). Solve j - 4*j - f = -3*m, 2*m = -5*j - 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 2\/(-1 - -5). Let w = -6 + 1. Let x be (-2)\/(-4)*(1 - -9). Which is the nearest to -1\/4? (a) d (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4218 divide 925188774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 1\/15*f**5 - 1\/3*f**2 + 275 + 7\/18*f**4 + 0*f + 13\/27*f**3. Solve r(v) = 0.\nAnswer: -3, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, m: 4, k: 2, i: 4}. What is prob of sequence jkki?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -17\/7 and -56 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(462)\/(-1*sqrt(11)) + sqrt(126)\/sqrt(3)*-6)\/(sqrt(726) - (sqrt(726)*-1 + sqrt(726)) - sqrt(18)\/sqrt(3)*5).\nAnswer: -7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.904 - 0.096. Let l = -10 - -13. What is the smallest value in o, -0.5, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - b**3\/3 + b**2 + b\/3.\nAnswer: -b*(b - 1)*(b + 1)*(3*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -32. Let q = -21 - -13. Let y(d) = d**2 + 5*d - 4. Let k be y(q). Calculate the highest common factor of f and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 564760?\nAnswer: -564760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 + 2*c**2 - 1. Suppose 0 = -4*g + 8, o - 5*o = 5*g - 26. Suppose o*x + 2*m - 60 = 2, -1 = -m. Suppose 0 = x*d + 12 + 3. Give u(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280232571.\nAnswer: 3, 53, 887, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 0.4, -10234, -4\/7?\nAnswer: -10234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.9 and 3567421635?\nAnswer: 3567421633.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**3 + 17*f**2 + 2*f - 5. Let v be d(-4). Let k be ((-2)\/(-6))\/(-1) - 0. Which is the closest to -0.1? (a) 0.1 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**33*(i**1\/i)**(8\/7) assuming i is positive.\nAnswer: i**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f. Let t(v) = v. Let j(g) = 6*l(g) + 17*t(g). Let s(p) = -2*p - 2. Let y be s(-5). Let z(h) = -8 - h + y. Give j(z(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 1460 = -6*q + 1445, -4*q = -2*z - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10*d**2 - 8*d - 44. Let j(a) = -19*a**2 - 14*a - 87. Let b(w) = -3*j(w) + 5*r(w). Find the first derivative of b(i) wrt i.\nAnswer: 14*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1279796, 1279798, 1279800, 1279802, 1279804?\nAnswer: 1279806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 w when three letters picked without replacement from xxlmmwrxvrlrxrm.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 0.8. Let q = 15 - 14. Let l = q - -4. Which is the second smallest value? (a) w (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303652831 to the power of 1\/2, to the nearest integer?\nAnswer: 17426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmmqmmmqmmqmm. What is prob of sequence mqqq?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, -943, -2, 4 in increasing order.\nAnswer: -943, -2, 4, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (5 + (sqrt(700) - (sqrt(700) + 0)) + sqrt(700)) - 3*(sqrt(700) + -1))**2 - (-2 + -5 + sqrt(700)*1 + sqrt(700))**2.\nAnswer: 400*sqrt(7) + 3455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30695854 * 3.\nAnswer: -92087562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + 4*v + 2*v**3 + (v - v + 2*v**2)*(9 + 2*v - 9) + (0 + 0 - 1)*(4*v**3 + 0*v**3 - v**3) to the form l*v + h*v**2 + z*v**3 + f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69852.\nAnswer: 2, 3, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u + 10. Let t be u\/7*5\/25. What is the third smallest value in -1, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsbbqbqqblbn. Give prob of picking 1 l, 2 q, and 1 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 714 + -480. Let j = -229 + a. Sort -2\/17, j, 2\/5.\nAnswer: -2\/17, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6)**46*j**(9\/5)\/j**6 assuming j is positive.\nAnswer: j**(1359\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13227*i + 13250*i + 89378 = 0. Suppose f = -4*n + 5*n + 5561, -2*n = -4*f + 11126. Let g = i - n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 6 + 4)*(3*p + 0*p + 0*p) + 4*p + 32*p + 30*p)*(0*p**3 + 2*p**3 - p**3).\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.36 + -0.04. Let f = -5.88 + 5.4805. Let d = f - i. Round d to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/((-4)\/18). Let g = 315 - 319. Suppose -k + 0*k - 2 = 0. Which is the closest to g? (a) k (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5552384836.\nAnswer: 2, 3989, 347981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1839895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36102 and 216612?\nAnswer: 216612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 13*a. Let x(o) = o**3 - o**2 + o - 2. Determine x(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) -1\/19 (b) 1\/6 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/24 and -167\/8244990?\nAnswer: 32979960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/578)\/((-36)\/153).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + -5 + (sqrt(704)*-5*4 - -1*(sqrt(704) + 2)))**2.\nAnswer: -1270765 - 4560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 2622\/1099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40308 = q + 2*z, 338*q - 3*z = 334*q + 161177. List the prime factors of q.\nAnswer: 2, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojo when three letters picked without replacement from {o: 2, g: 1, n: 1, m: 1, q: 1, j: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*a + 8, -4*a - 12 = -4*n - 2*a. Calculate the smallest common multiple of 44 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:22 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/15 and 19\/12383809?\nAnswer: 185757135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 3, -1.\nAnswer: -1, 3, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3 = -2*m - 9*u + 1, 3*m + 2*u = -3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -917.991227 + 0.081227. Let u = f - -922. Let s = u + -0.09. What is the smallest value in -3, s, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**2 - 8*y - 45. Calculate q(-3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (131*u - 37 - 70*u - 57*u)*(-2*u + 3*u - 3*u) to the form g + w*u**2 + z*u and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152626 is divided by 551.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 18884672.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-27)\/90)\/(2\/8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 1:27 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -242277, -484560, -726841, -969120, -1211397, -1453672, -1695945?\n\"Answer: b**2 - 242286*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28162177871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = -0. Let m be (1\/1)\/((-1)\/(-3)). Let x = 2 + m. Put x, -2, k in increasing order.\nAnswer: -2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/60 + 49*q**4\/8 + 74*q**3\/3 - 723*q**2. What is g in i(g) = 0?\nAnswer: -1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185720*a**2*j - 17*a**2 - 16*a*j - 1132217 with respect to j.\nAnswer: 185720*a**2 - 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 12, 8, -4 in decreasing order.\nAnswer: 12, 8, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*h + 32, 5*o + 9 = -11. Let d(y) = -y**2 + 6*y + 3. Let k be d(6). Let r(g) = -1 - 2 - 2*g + k*g - 2. Determine r(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -25.40026.\nAnswer: 12.70013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -86. Suppose -1 = -0*a + a, 2*c - 4*a - u = 0. Solve -g = g - c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609841 is divided by 152449.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + (8 - -1) - (-1 + 25). Let o be 0\/(2 + 7\/(35\/u)). Solve 2*s = -o*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -449413.8714 to the nearest ten.\nAnswer: -449410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 4303530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 10*u + 4. Let m be p(10). Solve -3 = -m*r - 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210351 to the power of 1\/2, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-115))\/(((-3)\/(-6))\/(15\/72))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 521*m - 473*m. Let f(w) = w**3 - 7*w**2 + 8*w - 30. What is f(m)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -2)*(-15*(-6)\/18)\/1. Sort 54, 2, a, 3.\nAnswer: a, 2, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 16*v**2 - 15*v + 11. Let h be q(15). Calculate the greatest common factor of h and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53694 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20437 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 35958 = 3*i + 3*o, -3*i = -2*o - 35933. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 714766, 7, -5, -3 in descending order.\nAnswer: 714766, 7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2191 + 5*m - 2*m - 2196. Let v(j) = -j + 2. Let q(p) = 4*u(p) + 11*v(p). What is q(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*1*sqrt(187)*-3)\/((-1*sqrt(66))\/sqrt(6) - (sqrt(176) - (sqrt(176) - 2*sqrt(176)))).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)\/(o**(5\/7)*o))\/(o**34)**(-20))**(-1\/22) assuming o is positive.\nAnswer: o**(-11863\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1063 equal to -1063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -12 + 1 - 5 - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -12. Let b = -54 - -80. Calculate the remainder when b is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*(-2)\/(-14)*4. Suppose 4*d = 7*d - f*a - 1496, 5*a = d - 506. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17966776 - 12766776. Round i to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = -4. Let p be ((-3)\/7)\/(-3) - (-333)\/21. Let n = 34 - p. What is the highest common divisor of n and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47752 + 2578733\/54. Let r = b + 5\/27. Suppose r*k + 1\/2*k**4 - 3\/2*k**2 - 1\/2*k**3 - 1 = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + w - 1. Let p(m) = 3*m**3 - 8*m**2 + 11*m - 6. Let r(f) = -f**3 + 3*f**2 - 4*f + 2. Let v(j) = -4*p(j) - 11*r(j). Calculate -2*s(i) - 2*v(i).\nAnswer: 2*i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1111\/7 + -159. Suppose -235*d + 242*d = 28. Suppose 0 = 5*u - 3*u. Which is the third smallest value? (a) d (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4485429?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**5\/270 + q**4\/54 - 8*q**3\/27 + 28*q**2 + 1. Factor u(w).\nAnswer: 2*(w - 2)*(w + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**14\/(q\/q**(3\/17))*(q*q**(-16)*q)\/(q\/(q*q*(q*(q\/((q\/q**(3\/7))\/q))\/q*q)\/q)))**(-3\/4) assuming q is positive.\nAnswer: q**(-573\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125871, -125863, -125855, -125847, -125839, -125831?\nAnswer: -125823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 53 = 5*x - 18, 9*x - 1075 = 11*x - 5*x - 271*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/11 (b) -72 (c) 104\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882 is divided by 731?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8526150, -8526140, -8526130, -8526120, -8526110, -8526100?\n\"Answer: 10*h - 8526160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678739?\nAnswer: 678739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4\/2 - 1395*y**3 + 3*y**2\/2 + 1395*y = 0. Calculate y.\nAnswer: -930, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - 2052.\nAnswer: -2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(12 + 111 - 2)*(3*q**2 - 5*q**2 + 0*q**2).\nAnswer: 484*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*s**2 + 16*s**2 - 12*s**2 to j*s**2 + r + k*s and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 1700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 81 (base 15) to base 11\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1406 divide 750486244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248949854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -45644a (base 11) to base 2\nAnswer: -10110001001110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 878 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 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10561897*i**3*x - 315640*i**2*x - 3*x - 3 wrt i?\nAnswer: 63371382*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 1638 = -2*k - 1652, -4*k - 22 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4901 + 42ba?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**4\/2 + 10*p**3\/3 - 15*p**2\/2 - 15*p + 14. Let c be h(-6). Solve -3*v = -2*n - 3*n + c, 3*v - 2*n + 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 9:08 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-269)\/(-3) - (-9)\/(54\/(-4)). What is the first derivative of w - 2*r**2 - 16*r - 9*r + 22*r - 10*r wrt r?\nAnswer: -4*r - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 17*w + 2. Let j(n) be the first derivative of -3*n**2 - n - 2. Determine 3*f(p) + 8*j(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -340 - -339. Let z(o) = -o**2. Give z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, -28, -29, -30, -31?\n\"Answer: -l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18648 - 12173. List the prime factors of y.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/134, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*u - 49, 5*d = -13 - 12. Suppose u*w = w + 5. Suppose -2 + 12 = 2*s. Solve w - 6 = -s*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 21*z - 72. Calculate a(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 341071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000012102120000 (base 3) to base 7.\nAnswer: 233605014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - -15. Let k = -12829 + 128401\/10. Calculate the common denominator of ((-2)\/r*-65)\/1 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 177, -279, -1033, -2079, -3411, -5023, -6909?\n\"Answer: l**3 - 155*l**2 + 2*l + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7482 take away 328?\nAnswer: 7154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*f*q*w + 19*f*q*z**3 - f*q*z + f*q - 20*f*w*z**3 - 6*f*w*z**2 + 2*q*w*z**2 + 8*q*w - 11769*z**3 + 2 wrt z.\nAnswer: 114*f*q - 120*f*w - 70614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 169*q**4 - 15*q**3 - 42*q**2 + 10115. Let s(u) = 170*u**4 - 14*u**3 - 35*u**2 + 10117. Let w(j) = -5*l(j) + 6*s(j). Differentiate w(g) wrt g.\nAnswer: 700*g**3 - 27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8*y**2 + 6*y**2 + 1 + 0*y**2. Let n(f) = f**2 - 1. Calculate 3*m(r) + 3*n(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(130) + sqrt(130)*-3 + sqrt(130)))\/(sqrt(10) + (-3*sqrt(160) - sqrt(10))) + ((-2*(sqrt(65) - -3*sqrt(65)))\/sqrt(405))**2.\nAnswer: -sqrt(13)\/6 + 832\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -7 (c) 5 (d) -1\/84 (e) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 186, 163, 110, 15, -134, -349, -642?\n\"Answer: -2*j**3 - 3*j**2 + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000004585203 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x = 91 + 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7 + -4.2. Let p = 2 + -6. What is the closest to 0 in p, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 91, 156, 241, 352, 495, 676, 901?\n\"Answer: o**3 + 4*o**2 + 46*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 395*o. Let y(p) = p. Calculate q(x) - 474*y(x).\nAnswer: -79*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -80*v - 1120. Calculate w(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from bxebxobbebzeoej.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i + 3. Let a be n(0). Suppose 0 = -w - 2*w + r + 8, 12 = 3*w + a*r. Solve 2*f = -0*f + 5*m - 10, -w*f = 3*m + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*c = 202*c + 22. Solve -3*q = -c - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + t. Let x = -18 + 25. What is the least common multiple of x and u(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*o**3 - 134719*o**2 - 3348731?\nAnswer: -15*o**2 - 269438*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = 0, -4497 = -t - y + 1711. Let o = 9250 - t. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*u - 6821 = -9*u - 7285 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5)*w*w*w)**(-3\/4)*(w**2)**(5\/12) assuming w is positive.\nAnswer: w**(-103\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10100110000001100 (base 2) to base 3\nAnswer: -11022121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/14)\/(g**9*g))\/((g*g*g**(1\/12))\/g**(1\/15)))**(-2\/33) assuming g is positive.\nAnswer: g**(467\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/((-144)\/(-135168)*32)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 336, 5870, -4.\nAnswer: -4, 0.08, 336, 5870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 158 - 54 = 0. What is the remainder when s is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72552 - 23712 = -21*q. Does q = 4583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141828 - 141834 + 97*i**2 + 223*i**2 + 320*i**2.\nAnswer: 640*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 - 10*o + 17. What is the remainder when t(6) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**3 + 53*q**3 - 79*q**3.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2539 + 4*u**2 - 2836*u**3 + 1071*u**3 - 5082 + 2542 to o + l*u**2 + m*u**3 + n*u and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -2\/15*p**2 - 2\/45*p**3 - 10 + 0*p. Factor h(c).\nAnswer: -2*c*(c + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(i*i**(4\/5)\/i))))\/i**(1\/33))\/(i**(4\/9)\/(i**(-2)\/i)) assuming i is positive.\nAnswer: i**(-1621\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -427163 and -854323\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 745165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 12*y - 126. Let f = y - -39. Is 46 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45959720 rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**2 + 4*h + 13. Let u(j) = -9*j**2 - 4*j - 15. Let q(m) = 3*u(m) + 4*z(m). Let o be 280\/(-45) + 4\/18. Give q(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjmhiyihiiimhmii. What is prob of picking 1 y and 1 h?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1496, 2616, 3736, 4856, 5976?\n\"Answer: 1120*c + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 606558 or -0.6?\nAnswer: 606558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.043 - -5.043. Sort -0.4, 0.5, z, -6\/7 in descending order.\nAnswer: z, 0.5, -0.4, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -b + 5, -24 = 3*f + 1171*b - 1180*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -1\/16*f**4 + 3\/4*f + 7 + 1\/12*f**3 + 5\/8*f**2. Find v such that d(v) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 589, 584, 575, 562, 545?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*f - 15, -2*q - 4*f + 3*f - 3 = 0. Solve -2*t + 2 = -q*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.2 - -8. Let r = j + -1. Suppose -2*f - 5*n = -16, -2*n = -4*f - 13 - 3. Sort f, r, -1 in decreasing order.\nAnswer: r, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -514 + -1380?\nAnswer: -1894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 212 + -63?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {y: 1, l: 1, j: 2, s: 1, o: 2, f: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 + -486\/5. Is p greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20064 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -286\/339539?\nAnswer: -286\/339539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 5949024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-1)\/((-2)\/6). Let l(n) = n. Let w(a) = a**2 + 3*a - 19. Let o(v) = u*w(v) + 3*l(v). What is the tens digit of o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 150*d - 244. Determine c(73).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2401 + 3?\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 289.965 - 284. Let j = n - -0.035. Which is the nearest to -2\/7? (a) j (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -138892\/47 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78835*q**2*y**2 - 7024*q**2 - 2*q*y**3 - 10 wrt y.\nAnswer: -157670*q**2*y - 6*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7*f*f\/((((f\/(f\/f**(-3\/4)))\/f)\/f*f)\/f)*f)\/(f**4\/f**(-2))*((f**(-1))**(-8))**(-30) assuming f is positive.\nAnswer: f**(-933\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5833\/2 + -2915. Let k(o) be the first derivative of -o**3 + 6*o + 11 - w*o**2. Determine r so that k(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1864126 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05993 - 0.06. What is x rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*r**2 + 27*r**2 + 13*r**2)*(r + 4*r + 2*r).\nAnswer: 742*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 57. What is the second derivative of 1 + 4*s**2 - g - 24*s + 0*s**2 wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + 1224 = 4*k, 5*m - 1527 = -4*k. Suppose 0 = -8*s + 9*s - m. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8*(-1 - -1). Suppose -s + 0*s - 5 = d. Let v = -1 - s. Solve 0 = -3*z - c - 7 - 7, -4*c - 24 = v*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k + 1. Let w be f(-3). Let a be (5\/15)\/(w\/(-6)). Put 2\/15, -4, a in decreasing order.\nAnswer: 2\/15, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {f: 8, u: 2, z: 5, v: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.3 (c) -3 (d) -16156324 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(12)\/sqrt(4) + 0 + (2 + sqrt(3) - sqrt(3)) + (sqrt(3) - (4 + sqrt(48)))**2 + (1*sqrt(3))**2*3.\nAnswer: 30*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -17, -25?\n\"Answer: -8*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 5*y - 2. What is the hundreds digit of j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 239*s**6\/120 + 31*s**4\/24 + 2*s**3\/3 + 615*s**2. What is the second derivative of v(i) wrt i?\nAnswer: 1434*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - -1) + 0 - -4) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-44)\/33 - -2). Suppose -3 = -15*n + 14*n. Put n, -9, -5, o in increasing order.\nAnswer: -9, -5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/24 - g**3\/6 - 2*g**2. Let x(n) = n**2 + 2*n - 9 - n**3 + n**2 + 4*n**2. Let v be x(6). Give j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5773 is divided by 444.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1615)\/(-119)) + (-44)\/(-4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 445 or 7125\/16?\nAnswer: 445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/70)\/8*28\/18\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4865293, 9730580, 14595867, 19461154, 24326441?\nAnswer: 29191728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3724?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-8)\/32*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -10*l**2 - 4*l + 7. Let a(c) be the third derivative of -7*c**5\/60 - c**4\/8 + 5*c**3\/6 + 14*c**2 - 4. Calculate 7*a(u) - 5*b(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**26)**(-7\/6)*(o*o**(-2)*o)**(-23)*((o\/(o*o*o**(1\/4)\/o)*o)\/o*o)**(2\/19) assuming o is positive.\nAnswer: o**(-3449\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110570289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**4\/5 - 24*a**3\/5 + 33*a**2\/5 + 24*a\/5 - 36\/5 = 0.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.04999us in nanoseconds?\nAnswer: 53049.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 5*n**2 + 2. Suppose 4*u = 2*u + 10. Let f be o(u). Suppose -2*r - 2*r = -4*a, 4*a - f*r - 10 = 0. Sort -4, a, -3 in increasing order.\nAnswer: -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t\/(t*t*t*t*t\/t**(-7)*t*t))\/t))\/(t*t**(-3\/2)))\/(t**1\/t**(-2\/17)) assuming t is positive.\nAnswer: t**(455\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**2*n + 10013*m**2 + 8*m*n + 3*m - 34*n - 1 wrt m?\nAnswer: 2*n + 20026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -31, -91, -197, -361, -595?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*1 - sqrt(14))*-6 + -3*(sqrt(42)\/sqrt(3) - sqrt(14)))\/((sqrt(10) - (-2*sqrt(40) - sqrt(10)) - sqrt(10))\/(sqrt(180) - 2*sqrt(180))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 - 55. Let j be (u\/12)\/((-2)\/(-6)). Suppose 0 = q - 171 - j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*g**2*s + g**2 + 125*g*p**2 + 8*g*p*s**2 - p**2*s**2 + p**2 wrt s.\nAnswer: 37*g**2 + 16*g*p*s - 2*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p - 7*p - 8*p + 26*p - p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20240859 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355 (base 11) in base 8?\nAnswer: -3332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58.8 - 70. Let s = -11 - w. Suppose 0 = -4*m - 16, 4*d = 5*m + 11 + 29. Put -0.4, d, s in increasing order.\nAnswer: -0.4, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.258331 micrograms?\nAnswer: 0.000000000004258331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3\/8, -4, 534\/5, -1, -13 in increasing order.\nAnswer: -13, -4, -1, 3\/8, 2\/3, 534\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1849498*a**2 + 594*a - 1194 wrt a.\nAnswer: -3698996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74503 (base 12) in base 8?\nAnswer: 452323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 69 - 171 = 0. Suppose -g - 50 = 31. Let q = g + d. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1181*o + 89. What is the hundreds digit of m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r - 2*r**2 - 2 + 8*r**2 + 1. Let p = -3592 - -3598. Is m(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*q = -18*l + 9*l + 13*l - 42, 0 = -6*l + 35 + 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - d = 3*d - 14, -1 = 5*p + 3*d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000361 rounded to seven dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(170) + sqrt(170))*-4 - (sqrt(170) + 1*sqrt(170) + sqrt(170))*-1)\/(-6*(sqrt(10) - sqrt(10)*-1)*5)*4.\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*y - 6*y - 110*y - 954 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 744636961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41894\/9 - 4661. Find the common denominator of f and -29\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 168. Let k = z + -40. Find the third derivative of -21*y**2 + 10*y**5 - 12*y**2 + 28*y**k wrt y.\nAnswer: 600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587 - 575 = 4*y. Let l(m) = -6*m + 2. Calculate l(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i + 420. What is the remainder when b(-12) is divided by 43?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633338 a multiple of 1502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 6*d**2 - 4*d - 1. Let c(t) = t**3 + 6*t**2 - 9*t - 7. Let n be c(-7). What are the prime factors of k(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 1. Let h = 113 - 109. Let i be (56\/(-32))\/((-1)\/h). Give t(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 92 - 8*m - 84.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 1. Let s(y) = -4*y. Let n = 8914 + -8916. Calculate n*k(z) - s(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3732, 7460, 11188, 14916, 18644, 22372?\nAnswer: 26100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 6*z - 7. Let j be y(-4). Which is the closest to j? (a) 3 (b) 0.4 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -3*g + 11, -4*s - 17*g = -12*g - 23 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40186*y**3 + 16434*y**2 wrt y?\nAnswer: -241116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 19 - ((-75)\/200 - (-1083)\/72)?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**8\/y**(-2\/3)*(y**(-2)*y)**(-8\/5) assuming y is positive.\nAnswer: y**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*v**5 - 344817*v**4 + 689706*v**3 - 459818*v**2 + 127729*v - 12773 = 0. What is v?\nAnswer: -12773, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73602*g**2 + 70933*g**2 - 144534*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(2\/37)\/s*s*s))\/s**(-4\/3) assuming s is positive.\nAnswer: s**(142\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Suppose -m*b = -b + 4*j + 2, -5*j - 16 = -3*b. Suppose 2*o = -2*k + 12, -4*o + 0*k + 21 = 3*k. Solve -o*d - b*d = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 436 by -4.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + d. Let y(a) = 9*a**3 + 50*a. Determine 10*l(k) + 2*y(k).\nAnswer: 8*k**3 + 110*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 5, 290009 in decreasing order.\nAnswer: 290009, 5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 49 = -3*r, -23*r = -24*r - 3*l + 28. Solve r = -2*y + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/1)\/((-156)\/13))\/((-19)\/171)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3575962 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 11*o - 36. Suppose v + v - 700 = 4*x, 0 = o*v - 3*x - 1390. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 213.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-32 + 64) - -87.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/60 - v**5\/15 + 7*v**4\/24 + 7*v**3\/6 + 8*v**2. Let r(f) = f**3 - 2*f**2 + 4*f + 4. What is 4*c(l) - 7*r(l)?\nAnswer: l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1380 + -1373. Let g(y) = -4*y + 19. Let n(v) = 6*v - 28. Give k*g(j) + 5*n(j).\nAnswer: 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0*k**2 + 0 + 0*k**3 - 5*k + 1\/6*k**4. Let z(h) = -2*h - h**2 + 2*h. Determine z(y(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -180, -149, -118, -87, -56, -25?\n\"Answer: 31*n - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 16 (b) 2 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8314.524 decades?\nAnswer: 83145.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/12 + -5\/4. Suppose 2*f - 5*d = -34, -5*f - d = -2*d + 108. Let k = f + 22. Do p and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3904 - -3926. Is s < 546\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 19 = 4*n, -n + 5*n + 1 = l. Suppose -3*m - 2 = -l. What is the highest common divisor of 8 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137622 is divided by 7132?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21708 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 24887891.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 19*v**2 - 2*v - 2. Let f(z) = -39*z**2 + 3*z + 3. Give 4*f(w) + 7*s(w).\nAnswer: -23*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l - 3*l**4 - 8*l - 6*l**4 + 9*l**4 - 31*l**4 + (2*l - 2*l - 2*l**3)*(0 + l + 0).\nAnswer: -33*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3 + 4. Let i(a) = -1200*a. Let k be i(t). Round k to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-4) + (-4042)\/10320*30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:52 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 3, m: 1, v: 1}. What is prob of picking 1 b and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 8 = -4*o + 3*o - 3*o + 8*o, -8*p + 10 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3)*-1 + -1 - ((sqrt(45)\/sqrt(3))\/sqrt(5) - sqrt(432)*2))**2.\nAnswer: 132*sqrt(3) + 1461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - w + 12. Let k be (w\/5)\/((-6)\/(-20)). Suppose -3*g = -s - 198, -2*s = -k*g - 5*s + 251. What is the highest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(-2*sqrt(1539)*4*-5 - ((sqrt(1539) - -2*(sqrt(1539) + 1)) + sqrt(1539) + sqrt(1539)*-1 + -2))*2)**2.\nAnswer: 7584807600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -214? (a) 1 (b) 2\/21 (c) 0.3 (d) -157 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23666 - (-1)\/(-2*(-3)\/18). Suppose u = 5*l - 5076. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/168 and -59\/6?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -11*s**3\/3 + 9*s**2\/2 + s - 240. Give m(-3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbgg when four letters picked without replacement from {s: 4, b: 6, g: 9}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1972 and 4883658?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v**3 + 48*v**2 + 27*v - 36. Let w(c) = c**3 - c**2 + c. Let r(o) = o**2 + 16*o - 1. Let q be r(-16). Let s(y) = q*t(y) + 3*w(y). Factor s(p).\nAnswer: -3*(p + 2)**2*(5*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or 133\/101?\nAnswer: 133\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-15 - (-13 + 1 + 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 6*c**2 + c + 12. Suppose -x + 5*v - 1 = 0, -4*x + 4*v - 1 = 19. Determine h(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*w - 2 = 3*d, -4*d + 3*w + 29 = 0. Put d, 0, -4, 4 in ascending order.\nAnswer: -4, 0, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-1*sqrt(5)) + sqrt(7) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(r - 2*r + 79 - 44).\nAnswer: 2*r - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, e: 11, t: 2}. What is prob of picking 3 e?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/7 + -2 - 0. Let u be -8 + -2 + (-68)\/(-7). Which is the biggest value? (a) u (b) s (c) -5\/3 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 + 164. Calculate the remainder when 11\/(-1 + (-24)\/(-23)) is divided by h.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Factor -12*o**2 - 8*o + 10*o**3 - 29*o**3 + 15*o**f.\nAnswer: -4*o*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 6 + 12*a - 8 + (36 - 36 - 70*a)*(1 + 3 - 3) as l*a + k and give l.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1203 - 1735. Let n = -83 - c. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*-130*74\/(-2035)*(-33)\/(-11)\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x + 102*x + 5*t - 37 = 0, -2*x - 33 = -5*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -69*z + 902. Let i be p(13). Let c(u) = u**3 - 5*u**2 - 3*u - 8. Let a be c(6). Solve 0 = i*f + 4*s - 17 - a, 3*f = -3*s + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 13*d**5\/20 + 5*d**3\/2 + 12*d. Find the second derivative of f(w) wrt w.\nAnswer: 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 + 2.8. What is the smallest value in r, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8452851481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.741\nAnswer: 0.1482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -35, -0.92, 2\/9, 2\/81?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1722.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**4\/4 + 14*u**3\/3 - 5*u**2\/2 + 10*u + 5. Let z be r(13). Suppose 2*d = 524 - z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -4556?\nAnswer: -455b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/15 + (-116)\/(-870). Sort g, -3, 8, -24 in increasing order.\nAnswer: -24, -3, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31288451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100\/33 + -26\/11. Let i = -40 + 44.8. Let s = i + -0.8. Sort -1\/9, s, o in ascending order.\nAnswer: -1\/9, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43496922629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5178*c**4*z**2 - 9*c**3*z**3 + 258*c**2 - 20*z**3 wrt c?\nAnswer: 124272*c*z**2 - 54*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -13*g**2 + 147*g - 44. Let w be f(11). Solve w = -l - 5*o + 3*o - 1, 5*l = 5*o + 25 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156824183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*20\/2880)\/((-1)\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 15*h**2 - h + 20 - 1 - 2. Let m be c(15). Solve 3 + 1 = -m*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/6 and -163\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1956296 + 315179 = 0. Let p = 2734299 - d. Suppose -7*y = 4*a - 2*y + 2280020, 4*a + p = -y. Round a to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 59*y**2 + 461*y + 21085. What is c(-61)?\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 362281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183480, -367259, -551038, -734817, -918596, -1102375?\nAnswer: -1286154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*a = -147 - 7, a - 82 = -2*m. Let i be 4998\/m + 6\/24. Let q = 124 - i. Which is bigger: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18928 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -3*r**2\/2 + r + 2. Let y be l(1). What is the units digit of (-1160)\/(-36) - y\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and -1121.\nAnswer: -1120.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 15*i**2 + 6*i + 6. Let y be z(-3). Suppose 0*k - p - 11 = -3*k, -4 = 2*p. Factor b**2 - y*b - k + 60*b + 61*b.\nAnswer: (b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4063966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -2. Let k(m) = m**3 + 7*m**2 + 3*m + 2. Is k(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euuxuxuuecxcc. What is prob of picking 1 c and 1 x?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -192.587 to 0 dps.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1038019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) - sqrt(294)*1) + sqrt(6) + (sqrt(600)\/sqrt(4) - sqrt(6)))\/(sqrt(40)\/sqrt(5) + (sqrt(250)\/sqrt(5) - sqrt(2))).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1991808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:37 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(5 + (((sqrt(25) + sqrt(300)\/sqrt(48))*-5)\/(sqrt(720)*-2 - sqrt(720) - ((sqrt(5) - -1*sqrt(245)) + sqrt(5))))**2).\nAnswer: 370\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)\/z**(-1\/10))**(-33)*((z\/((z\/((z**(-9)*z)\/z))\/z*z))\/(z*z*(z**(-7)*z)\/z))**47 assuming z is positive.\nAnswer: z**(-5519\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -1\/3 in descending order.\nAnswer: 11, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*r - 3. Suppose -u - r = -4*f, 4*u - 3*u = -4*f + 13. Solve -3*v = 13 + f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38.829 - 38.229. Sort 1\/2, -1, -0.36, l in descending order.\nAnswer: l, 1\/2, -0.36, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 279*s + 1708. Let x be n(-6). Let g(v) = -10*v**3 - 50*v**2 - 10*v + 11. Let a(r) = 2*r**3 + 10*r**2 + 2*r - 2. Calculate x*g(f) - 11*a(f).\nAnswer: -2*f**3 - 10*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 - 130*j + 132 = 0 for j.\nAnswer: -66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:57 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(21 - 11 - 20)*(-2 + 2 - x).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/(-35) - (1 - (-9)\/(-15)). Solve -5*c - 8 - h = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**3 + 4*z - z**3 + 6*z**2 - 7 + 5*z**3. Let s be d(-5). Suppose 6*f + 6 = 3*f. Is f at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.3 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208876734.\nAnswer: 2, 13, 23, 2021533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*p + 698*p = 337*p + 3960. Calculate the smallest common multiple of 1944 and p.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3284?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 3. Let j = -5 - -3. Let o(u) = u**2 + 2*u + 2. Let p be o(j). Suppose i = -p*s - 6 - 2, 2*s - 3*i = -8. Give c(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 3*g**3 - 2*g**3)*(-4 + 3 + 0)*(0 + 3*g + 0).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - f = 32, -z + 2*f - 60500 = -60480 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 11:37 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*u - 867, 5*m + 5*u + 61 = -804. Let p be 1\/(-2) - m\/(-14). Let s = p - -15. Solve -s = g - 0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48272 divided by -6\nAnswer: -24136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -4 (c) -6 (d) 34 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4841 is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 106 + (-3 - -2) - 1. Let g = 5 + -3. Suppose -g*f = -n + r, 5*n + 6*f - 455 = 3*f. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-28) - -2)*(-4)\/((-28)\/343).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/7)\/((-180)\/6300). Let p be (-12)\/18*((-3)\/(-2) - 0). Let u be (0 - 1)\/(1\/(-3)). What is the third biggest value in u, t, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7858*r - 762. Let p be g(36). What is p rounded to the nearest one thousand?\nAnswer: -284000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9208268 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -272*(14966\/(-8) - (-6)\/(-12)). Suppose -13*x = z - 4109980. Round x to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by 82.\nAnswer: 84\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - 370*y**2 + 371*y + 4. Let z(n) = -12*n**3 + 1485*n**2 - 1488*n - 15. Let c(t) = 15*p(t) + 4*z(t). Find a such that c(a) = 0.\nAnswer: 0, 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 5*o - 30*o)*(14*o - 30 + 30)*(-77 + 77 + 42*o).\nAnswer: -17640*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v + 29*v - 2151 + 2415 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/((-1)\/1))\/(4\/(-2)). Suppose -3*w - 29 = -8*w + 4*p, 2*p - 18 = -4*w. Let j = 3 - 0. Solve 4*x = 3*g - 4, q = -2*x - j*x - g - w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, p: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7121*r + 49863. Give k(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y. Let z be n(3). Let x = 0 - z. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4863565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*5*sqrt(1872)*-5*3)**2*3.\nAnswer: 2021760000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4 = 14. Suppose -g + b + 21 = 0. Suppose 5*u - 6 - g = 0. Calculate the remainder when 15 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -782906163 divided by -3?\nAnswer: 260968721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 258420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -338*o - 1 + 118*o + 113*o - 51*o**2 + 120*o as b + s*o**2 + c*o and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + -2*sqrt(2299)) + -2 + -5*(1 + sqrt(2299)*-1 - (1 + sqrt(2299))*3))**2.\nAnswer: 1144*sqrt(19) + 1554128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1008266 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -318 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 + 85 = -33*q - 419 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0\/24)\/((-2)\/1*-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112513100*z**4 + 6*z**2 + 19*z - 202392 wrt z.\nAnswer: 2700314400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 182 = -22*h. Calculate the remainder when h is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0 + 11 = -4*c, 0 = 5*c + i. Let k be ((-1)\/2 - -2)\/(c\/10). Let f(h) = -3*h + 71. List the prime factors of f(k).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y + 184771 = -876209. Is y a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2582 + 2587. Solve -4*p + b*u = 2*u + 26, 4*p - u = -22 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2 - 18531233*o + 37062462 = 0. What is o?\nAnswer: 2, 18531231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27197*o**3 - 331*o**2 + 191*o - 60 - 27041*o**3 + 194*o - 9*o**4 - 141*o.\nAnswer: -(o - 15)*(o - 1)*(3*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84417 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + c + 69*c)*(-6*c + 2*c + 3*c + (4*c - 2*c - 4*c)*(-4 - 3 + 3) + c - 4 + 4).\nAnswer: 528*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 35*f - 63. Let m be g(33). Let i = 12 - 7. Which is the fourth smallest value? (a) -2\/17 (b) m (c) i (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -275*f + 8797. What is i(32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3685360 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/39? (a) 0 (b) 4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -6. Suppose 4*c - s = 7, 6*s - s - l = 0. Suppose -9*m + c*m = -266. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r - 33. Let y be m(-14). Let q = y + -32. Let j be -106999 - q\/(-25)*-5. Round j to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -107 - (-74 + 24) - -39?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 110022?\nAnswer: 110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 211 - 206. Let w = -6.3 - -1.3. Which is the third smallest value? (a) w (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f**(1\/11)\/f))\/f))\/f)\/(f**2*f)*f**(-7)\/(f**(-6\/5)*f) assuming f is positive.\nAnswer: f**(-589\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 127*x**2\/2 + 84*x + 119. Find the first derivative of w(g) wrt g.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 12, -1 = -g + 3*l - 0*l. Let j be 0\/1 - -2 - 0. What are the prime factors of (-1)\/((-1)\/g*j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78163950 divided by -7122?\nAnswer: 10975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1452 and 22.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -13*g**4 + 7*g**3 + 7*g + 49. Let o(b) = 6*b**4 - 4*b**3 - 4*b - 25. Let j(t) = 4*f(t) + 7*o(t). What is the derivative of j(s) wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 1. Let s(m) = -10*m - 6. Let k(r) = 4*s(r) + 24*x(r). Suppose -13 = -5*a + 22. Suppose -a + 0 = -7*w. What is k(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r + 4\/3*r**3 + 2\/5*r**5 + 0*r**2 + 5 + 3\/2*r**4. Factor g(v).\nAnswer: 2*v**2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + g**2 + 1. Let l(w) = 9*w**3 + 6*w**2 + 5. Give -6*h(z) + l(z).\nAnswer: 3*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -108 - 4. What is the smallest common multiple of g and 764?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -688747951.1 rounded to the nearest one hundred thousand?\nAnswer: -688700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -1697, -4020, -7333, -11642, -16953?\nAnswer: -23272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.148, -2, -19138, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.89 - 0.11. Let z be 3\/(-5)*(-4)\/6. What is the closest to 1\/3 in z, 4, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45206 (base 7) to base 3\nAnswer: -120200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*((v**(-1\/4)*v)\/v)\/v*(v\/(v\/(((v**(6\/5)*v*v)\/v)\/v)))\/v**(1\/16) assuming v is positive.\nAnswer: v**(311\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 4)*(9*p - p + 0*p) + (0 - 2 + 4)*(0*p + p + p) to z + d*p and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4208 is divided by 264?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-four thirds of a week?\nAnswer: 4144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v + 10*v - 4*v + ((-2*v + 0 + 0)*(-2 - 3 + 4) + v + 4*v - 6*v + v + 2*v - 6*v)*(-3 - 4 + 2).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-387)\/(-215)*(-2680)\/24*10\/(-45)*3?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30671833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(252) - (sqrt(252) + -1)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.814 - 0.08. Let j = c + 1.4. What is j rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -3, -73, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -418 + 442. What is the highest common divisor of 136 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 28*h**2 - 12*h - 16. Let x be r(28). Let s = 358 + x. Solve -11*l + s*l = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (0 - (3 + -4))) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*i + 83195, 29*v - 24*v + 110919 = 4*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 0.5, -0.02, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 48 = q. Suppose -q*z - 34 = -84*l + 82*l, -2 = -2*z. Let v(u) = u + 4. Calculate the smallest common multiple of l and v(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and 4398300?\nAnswer: -118754100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 + 15327*x**2\/2 + 76573*x - 183804.\nAnswer: (x - 2)*(x + 12)*(x + 15317)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 7*v - 12. What is the remainder when d(4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 37 + 10*b**3 + 36 - 107.\nAnswer: 10*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*b - 22*b + 902. Solve -26*n + 15*n + b = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620515 is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + sqrt(832) + -1 + -1)**2.\nAnswer: 48*sqrt(13) + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-4)\/3)*5772\/24531?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8899857 nanograms in milligrams?\nAnswer: 0.0000008899857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m = -34*m + 68. Calculate the greatest common divisor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*s - 331 - 107, -2*m - 3*s + 897 = 0. Is 59 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/156 and -131\/66.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 7*u + 13. Let y be h(-8). Solve 0 = -2*p - 3*m - y, -1 = -m - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/90 - (-2)\/(-420)*21?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -219440 divided by 30\nAnswer: -21944\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(108)*-1 + 5)*-4.\nAnswer: -20 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212022 + 10?\nAnswer: -212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13073 (base 12) to base 7.\nAnswer: 135552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102033003 (base 4) in base 11?\nAnswer: -51131","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t*x**3 - t*x**2 + 52*t*x - t + 29*x**3 - 2 wrt x.\nAnswer: 12*t*x - 2*t + 174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, -1275, -17, -3 in descending order.\nAnswer: 11, 3, -3, -17, -1275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(187)\/(sqrt(44)\/sqrt(36)))**2.\nAnswer: -30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2230, 0.2, -4\/21 in decreasing order.\nAnswer: 0.2, -4\/21, -0.3, -2230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*r - 25*r - 2*r**3 + 94*r - 35*r + 26 as n*r + g*r**2 + w*r**3 + u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-10))\/p*p*p*p**(-1\/25)*p)**(1\/35) assuming p is positive.\nAnswer: p**(324\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + z = -4*z + 29, -5*a - 4*z = -30. Let v = -86 - -93. Suppose 13 = -v*x - 15. Sort x, 1, a in ascending order.\nAnswer: x, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 14. Let s(i) = -i + 2. Let b be s(-3). Suppose -y = 4*y - 10. Solve -b*r + 3*g - a*g - 12 = 0, 0 = -g + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 - 3*b**2 - 2*b - 2. Suppose 0 = -4*c + 3*t + t + 68, -3*c = 2*t - 46. Calculate the least common multiple of c and u(-2).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8977\/58097 + -3\/4469. Let 0*v**2 + 0*v + 0 + q*v**3 = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1115\/46 + -385\/23. Suppose -a - 3\/2*m**2 + 9*m = 0. Calculate m.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1076 and -971985584?\nAnswer: 971985583.8924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0.6. Suppose -5*n - 71 = 2*k, 4*n - 11 - 31 = k. Let r = 116\/3 + k. What is the third smallest value in r, -2, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*o + 25 = 0, 4*v + 2*o + 0*o = 2. Let u(z) = 28*z + 3. Let t be u(v). Let b = t + -85. Solve 2*m - 6 = -b*j, 4*m + 2*j + 3 = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.87 - 2165.1019.\nAnswer: -2164.2319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let x(w) be the first derivative of -171*w**2\/2 - 8*w - 6289. Calculate o(x(s)).\nAnswer: 171*s + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/u*u)\/u**(1\/6)*(u\/(u*u**(-1)\/u*u))**11*(u*u*u*(u**(-3\/4)*u)\/u*u)\/(u*u**(-2\/9))*(u**(1\/2))**(1\/61) assuming u is positive.\nAnswer: u**(18257\/2196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303107.62 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.69 + -0.473. Let o = -27.217 + q. Which is the closest to o? (a) -3 (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a. Let f be h(-2). Suppose -y - 2 = -4*q + 16, 2*y = 2*q - f. What is the smallest common multiple of q and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 52*a - 24*a = 130*a - 1770 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 89378425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**3 - 4*b - 2. Let k(m) = m**2 - m - 1. Let v(w) = -2*k(w) + x(w). Let j(r) = r**3 + r**2. What is 2*j(q) + v(q)?\nAnswer: -2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, -1\/6, -3\/22, 0.61 in decreasing order.\nAnswer: 0.61, 0.19, -3\/22, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91)*-2 + sqrt(91))\/sqrt(7) - (-2*sqrt(13) + -2 - sqrt(13)).\nAnswer: 2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 453, 3, 824 in descending order.\nAnswer: 824, 453, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 166116, -19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 24*l. Let y(f) = 122*f - 128. Let d(x) = 73*x - 65. Let i(c) = 5*d(c) - 3*y(c). Give a(i(w)).\nAnswer: -24*w + 1416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/35781438 and -67\/9758574.\nAnswer: 107344314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -201, 10, 0 in decreasing order.\nAnswer: 10, 2, 0, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217125 is divided by 1217099.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 29*l + 5. Let k be u(5). Let b be (2\/6)\/(10\/k). Let f(z) = 3 - z**2 + 6 + 0 + b*z**2. Let q(n) = n**2 + 2. What is -2*f(d) + 9*q(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4276\/3 - -1425. Is -1661 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 12*g**2 - g - 8. Let d = -25 - -37. Let p be n(d). Let w = p - -15. Sort -2, 4, w in decreasing order.\nAnswer: 4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, r: 2, f: 5, w: 1, n: 2}. What is prob of sequence ro?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 28.\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229.3 + 229.5. Suppose 11 = -2*b + 1. Let y = 8 + b. What is the third biggest value in i, y, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5672, -8\/13, -50?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q - 9. Is (614\/4)\/(q\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3338, 2315, 1292, 269?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-5)\/(-10) + (0 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10571 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864478036 to the power of 1\/2, to the nearest integer?\nAnswer: 43180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1\/t)**(2\/53))**(-18))**(2\/15) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148710 by -49570.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19363 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(1 - (-75)\/(-65)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 183*d**3*g**2 + 179*d**3 - 3*d**2*g**2 + d wrt g?\nAnswer: 366*d**3*g - 6*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23120 (base 4) to base 5\nAnswer: 10403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = -570. Let m = 190 - u. Solve -2*x - l = -5, -x + m*x + 5*l = -8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 299 - -4232. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 964*h**3*o*p**2 + 386*h**3*p**2 - 3*h**2*o*p**2 - 4*h**2 + 3*h*o*p**2 - 243*h*o - 4*o*p**2 wrt h.\nAnswer: 5784*o*p**2 + 2316*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-81)*6\/5\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-48) + (-27)\/(-4). Solve 10 = -o*n + 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1069 + 283. What is the remainder when 55 is divided by 2\/7 + o\/(-42)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44347.19176506 less than 4?\nAnswer: 44351.19176506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.9 + -5.1. Let d = -195 + 199. Which is the closest to r? (a) 0.07 (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4698496 to 4 dps.\nAnswer: 0.4698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -23622, 1\/4, -1\/2 in decreasing order.\nAnswer: 1\/4, -1\/2, -23622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17959780331 rounded to 6 dps?\nAnswer: -0.179598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**3 + 390*y**2 = 0?\nAnswer: 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*a**3\/3 - 55*a**2\/3 + 64*a\/3 - 4.\nAnswer: (a - 2)**2*(13*a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.2 (c) 14304 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*l + 688 + 1832 = -89*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*12\/(-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283 = 84*k - 1879 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206016066.\nAnswer: 2, 3, 1753, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 6*q**2 - q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37934\/9 - 4220. Let h = 4314 - 112269\/26. Let i = 321\/104 - h. What is the common denominator of i and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-17)*b\/(b\/((b**27\/b*b)\/b))*b**9\/b**(-16) assuming b is positive.\nAnswer: b**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 3:18 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 4*c**2 + 6*c - 1. Let w be v(5). What is the third derivative of -10*a**2 + 2*a**4 - 4*a**4 + 5*a**w + 4*a**2 wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341210715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181.1 - -164.1. Put 5, b, -1\/2 in increasing order.\nAnswer: b, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 143 + 44 = 0. Let u be (-10)\/25 + (-16)\/(-140). Sort k, u, -0.2 in decreasing order.\nAnswer: k, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2439072 divided by 1.\nAnswer: 2439072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 6, -3 in descending order.\nAnswer: 6, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -876*10\/(-4)*6\/30 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*d - 0*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48 - 264?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.084 - -0.084. Let z = 57.44 + j. Round z to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19637 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -757, -762, -781, -820, -885?\n\"Answer: -h**3 - h**2 + 5*h - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*g - 3*q, q = -11*g + 107 + 5. Suppose 2*x + 0*x - 6 = 0. What is the lowest common multiple of g and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -434, -774, -1010, -1004?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**6\/120 + i**5\/10 + 71*i**4\/48 - 13*i**3\/4 - 3*i + 326. Find g such that j(g) = 0.\nAnswer: -6, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.77, -0.3, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 5*a**2 + 8*a - 7. Let m be f(2). Let j = -0.06 + 0.36. Sort j, m, 2, -2\/3 in decreasing order.\nAnswer: 2, j, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from icciiccccccciccccccc?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.822221 take away -0.022?\nAnswer: 1.844221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 4*k**2 + k + (0*k - 2*k + 4*k)*(5*k + 0*k + 9*k) + (-4*k - 2*k + 5*k)*(-4*k - 3*k + 6*k).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 17*g**2 - 16*g - 33. Calculate j(-16).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Sort y, 0.04, -1 in ascending order.\nAnswer: -1, 0.04, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35428797*i**3*r**3 + 2*i**3*r + 1687*i**3 - i**2*r - i*r + 6*i + 16*r wrt r?\nAnswer: -212572782*i**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 343, 1141, 2409, 4147, 6355?\n\"Answer: 235*j**2 + 93*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltt when three letters picked without replacement from ltlttt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 7*n = 5*g + 65 + 50, 8*n = -160 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + -2 + 8 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.1 take away -5?\nAnswer: -64.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*w - m, 467*w - 478*w + 75 = 2*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1 + -1.9. Which is bigger: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 1 u when three letters picked without replacement from {p: 4, v: 1, t: 1, s: 3, o: 2, u: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2234.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38134086 is divided by 3843?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3688 = o, u + 5470 = -5*o - 13046. Let v be (o\/(-48) - 2) + 4\/(-6). Let h = -74 + v. Put h, -2, 0.1, -4\/9 in decreasing order.\nAnswer: h, 0.1, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-75)\/7 + 2\/(-7). Is (42 - -4)\/((-1)\/(n\/2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.40124 millilitres to litres.\nAnswer: 0.01840124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -187, 0.7, 1\/4, 1\/112?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 4440*r**2 - 402300*r - 4462000.\nAnswer: 5*(r - 92)*(r + 10)*(r + 970)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202 + 201.872. Let u = l + -0.372. Which is the second smallest value? (a) -3\/8 (b) u (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 11*u = 5. Let p(r) = 5*r**2 + r - 2. Let t be p(u). Find the third derivative of 7*w**6 + 0*w**t + 0*w**4 + 15*w**2 wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -1\/6*j**3 + 17\/12*j**2 + 22 - 5\/3*j. Solve f(u) = 0.\nAnswer: 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3787790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/3 - -2 - 4\/(-1). Solve 0 = -2*o - 0*z - 2*z + 12, -p*o = -5*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 6\/47, 0.4, -8, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714930 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 998527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 - 176619*r + 176619*r.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**3 + 2*s**2 - 2*s. Let o be f(1). Let h(u) be the first derivative of 0*u + 3\/5*u**5 + o + 0*u**3 + 0*u**4 + 0*u**2 - 1\/2*u**6. Factor h(c).\nAnswer: -3*c**4*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 1)*(-4 + 6 + 4)*(2*p - 2*p + 2*p) to r*p + d and give r.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26009 is divided by 5184?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2 + 138*d + 2736 = 0 for d.\nAnswer: -114, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22010000 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cab2 - 5?\nAnswer: 1caac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 6*b + 6. Let v be s(5). Let f be -1*(v - (-3 - -9)). Let i be (-2 - -3)*f - 2. Calculate the greatest common divisor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = 22*j + 3*j - 450840. List the prime factors of j.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/6 + 85*i**3\/6 + 637*i**2\/6 + 545*i\/2 + 231 = 0.\nAnswer: -77, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5424 = -5*r, -5*r + 78*k - 73*k + 5445 = 0. Let t = r + -436. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, 1 f, and 1 e when four letters picked without replacement from eaeofosoaeo?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 213\/4 - 54. Let k be (0 - 1)\/(2 - 29\/14). Suppose 12 = k*z - 17*z. Put x, 3, z in descending order.\nAnswer: 3, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/15)\/k)\/(k\/k**(-2)))\/((k*k*(k**(-2)\/k)\/k)\/k)**(-42) assuming k is positive.\nAnswer: k**(-1934\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*-2)\/sqrt(11) - (sqrt(102)\/sqrt(6)*2 - (1 + 0 + sqrt(17))**2).\nAnswer: -4*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 - 4*p**2 + 2. Let w(l) = 16*l**3 - 21*l**2 + 11. Let v(g) = 4*w(g) - 22*x(g). Find the third derivative of v(b) wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 584 + -396. Let l(t) = -371*t + o*t + 186*t. Let x(j) = 14*j**2 + 4 - 4. Calculate l(x(s)).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*v = 78*v + 645. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/15 - 14\/45. Let -4\/9*z**3 + 8\/9*z**2 - 4\/9 + 2\/9*z + j*z**5 - 4\/9*z**4 = 0. Calculate z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2. Let s(w) = -170*w**2. Calculate s(k(b)).\nAnswer: -680*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12012020112 (base 3) to base 16.\nAnswer: 18f5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 20. Let f be (-10)\/20 + r\/12. Suppose 2 = 5*y - 3. Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + (71 - 86))*38\/(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7262456?\nAnswer: 2, 907807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*s + 4719 - 5153 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103170 is divided by 7933?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -37. Solve 1 = r - j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10452 (base 6) to base 5\nAnswer: 21342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*m + 31153*c**2 + 40909*c*m - 14*m + 146 wrt m?\nAnswer: -2*c**2 + 40909*c - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 5649?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - 2 + 2)*(-203*w**2 - 81 + 81)*(w + 1 - 1) to h*w**2 + j*w**3 + v + l*w**4 + d*w and give l.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/45)\/(-66*3\/(-45)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120851.2 + 389.2732.\nAnswer: 121240.4732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 57. What is the remainder when 96 is divided by i(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -214*q**4 + q**3 - 15*q**2 - 58*q + 1847617.\nAnswer: -856*q**3 + 3*q**2 - 30*q - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/7 + 164978*j\/7 + 164992 = 0. What is j?\nAnswer: -7, 82496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -1.1?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3673358762 is divided by 997?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174382.929 milliseconds to days.\nAnswer: 0.0020183209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -265, -2\/13, -1\/2, -482, 2\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907097678.\nAnswer: 2, 1109, 408971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*v - 60*v - 78*v - v**3 + 57*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 310, 0, 3, -1\/12 in descending order.\nAnswer: 310, 3, 0, -1\/12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 144327666 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 70574, 139458, 206634, 272108, 335886, 397974, 458378, 517104?\n\"Answer: i**3 - 860*i**2 + 71457*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -1\/3, -2006, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3849244 is divided by 1283073?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 78 + -7 + (-28 - 62)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 847550 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15246 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 5*j**2 - 11*j - 9. Let n be h(-5). Suppose -56*b = -n - 333. Solve 2*m = b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**3*y*y\/(y**(-1\/10)\/y)*y)**(-3\/13)*((y*y\/y**(-6))\/(y\/(y*y**(1\/3))*y))**25 assuming y is positive.\nAnswer: y**(70771\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*f - 32*f + 1 - 99*f + 8 - 4.\nAnswer: 49*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f - 27. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2283 to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66 times 5?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512568 and 1944.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5181037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80\/23 + 217\/69. Which is the closest to -1.3? (a) -4 (b) -3 (c) z (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 434 - 416.3. Let m = f + -21.7. What is the closest to -1 in m, 0.2, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*l + 3 - 19, l + 2*r - 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-3)\/9 - -1). Suppose -4*k + 1 = -i. Let z = -1167\/7 - -167. Which is bigger: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4651 in -0.2, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4324 - -11?\nAnswer: 4335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436506614 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4, 39\/22, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3 - 540*q**2 - 1576863*q - 1576320 = 0. Calculate q.\nAnswer: -640, -1, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4748*n - 1889 + 1889 as c*n + h and give c.\nAnswer: 4748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -18. What is the lowest common multiple of g and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-134)\/(-4355))\/((-4)\/1440)*(-3)\/(-12).\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2 + u + 2 + 1 + 4*u**2. Let q be z(-1). Suppose 3*s + 0*s = -3*w - 2670, 2*w = q*s - 1780. What is w rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230244783 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328399035.\nAnswer: 3, 5, 953, 22973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 11. Let p = -8\/449 + 1363\/898. Which is the second smallest value? (a) n (b) -30 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11747 or -11295?\nAnswer: -11747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 14, 41*k - 4*g = -33*k + 77*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -2 + 12 + 257 + -278.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71471 is divided by 52?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154020310 (base 6) to base 5.\nAnswer: 1314044001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a = -0*a + 168 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from jqggc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/36 in 1\/6, 0.3766, 28\/9, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 m, and 1 y when four letters picked without replacement from {a: 1, y: 14, m: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181386285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 8*x**2 + 7*x + 4. Let o be p(7). Let k be 2\/(-5) + 2\/(60\/o). Suppose 4*s + k = 23. What is the highest common divisor of 30 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bug when three letters picked without replacement from gtgrutggugggbtzbg?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.850532 + -1.85. Round q to 5 dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - ((-8)\/(-12)*(-816)\/32 + 8). Sort y, 65, 14 in ascending order.\nAnswer: y, 14, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, p: 3, e: 1, r: 2, a: 3, v: 3}. What is prob of picking 3 p?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 - 104 = -5*r - 2*d, 4*r = -14*d + 544. Suppose -14*c = -17*c + 561. What is the highest common divisor of r and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7202040 and 7202040?\nAnswer: 7202040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + c = -4*b - 3, -5*c = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4455761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 131, -1 in ascending order.\nAnswer: -1, 8, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.96 - 6. Let r = n + 0.07. Sort r, -5, -1\/6 in ascending order.\nAnswer: -5, -1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t**3 + 80*t**2 + 143*t - 5. Determine x(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 4*b = 128. Suppose 2*j - b = -3*r, 4*j = -6*r + 2*r + 24. Solve -2*p = 3*y - 7, -r*p + 3*p - 4 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13356991 to the nearest integer?\nAnswer: 3655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.55 - 0.15. Let p = -9 + z. Let q = p + 5.6. What is the biggest value in q, -0.5, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let s(j) = -10*j. Let o = -180 + 280. Suppose 7*n + o = 93. Determine n*s(f) + 3*k(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 168, 298, 478, 708, 988, 1318?\nAnswer: 1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12*3\/30)\/(27\/105)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(153) - -2*sqrt(153) - sqrt(153)))\/(sqrt(45)\/(sqrt(5) - (sqrt(5) + sqrt(15)\/sqrt(3)))).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8.2. What is the smallest value in z, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**6\/1260 + j**5\/12 + 17*j**4\/42 - 29*j**3\/6 - j**2 + 28*j - 3. Let h(k) be the second derivative of w(k). Factor h(s).\nAnswer: 2*(s + 1)*(s + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 3*m - m)*(81*m + 50*m - 32*m + 245*m) to q + z*m + y*m**2 and give y.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*n + 82*n - 194*n**2 + 2899*n**2 - 49*n to u*n + r*n**2 + t and give r.\nAnswer: 2705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(343) + -4*(sqrt(7) - (-3*sqrt(7))**2) + 2 + 4.\nAnswer: -25*sqrt(7) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*274\/685.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 54*z**2 + 2688*z - 69738. What is s(25)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 + 23*w - 7. Give h(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s - 246 = 0. Suppose -v + 2 = 0, 0 = 3*u + 3*v - 213 - 75. Let p = 122 - u. What is the remainder when s is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - c + 191. Let b = 10 + -8. Suppose 0 = -j + b*j. Is t(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 74, 108, 146, 188?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 3*w - 2*w)*(10702*w**2 + 24055*w**2 + 40674*w**2 - 9072*w**2 - 6447*w**2) to r*w**3 + u + v*w + o*w**2 and give r.\nAnswer: -59912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/448)\/((-279)\/248).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + b**3 + 3*b - 2*b + b**2 - 1. Let z be i(-2). What are the prime factors of z\/(-12) - 39\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(4*i**2 - 2*i**2 - 4*i**2) - 4431*i**2 + 0*i + 6564*i**2 - 2*i.\nAnswer: 2129*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*u - 33 - 407 - 1241 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -61. Let n = b + -15. What is the second biggest value in 2\/7, 3\/7, n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308581 is divided by 102772.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**5 + 3791*d**4 + d**3 - 2*d - 10375?\nAnswer: -40*d**3 + 45492*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -140354331 (base 7) in base 6?\nAnswer: -523311500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 13. Let y(u) = u**2 - u - 3. Let k be y(l). Let a(x) = -6*x**2 + x + 2. Let s(d) = -8*d + 20*d - 10*d - 7*d**2 + 3. Give k*s(o) + 4*a(o).\nAnswer: -3*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33454776 and 13748?\nAnswer: 234183432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -30996104610.\nAnswer: -30996104612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*(-10)\/18)\/(5\/(-105)). What is the common denominator of 37\/7 and ((-194)\/i)\/((-84)\/(-105))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 225?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -106610*212\nAnswer: -22601320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7243590 to the nearest one hundred thousand.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1. Let p(t) = -2*t + 12. Let u = -33 - -21. Let l(x) = u*v(x) + p(x). Let a(r) = -52*r**2 + 146*r**2 - 48*r**2 - 48*r**2. Determine l(a(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 5:35 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1632\/7 - 24403\/105. Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 4*y**4 - 29155*y**2 - y**3 + 1 + 29161*y**2 - 11*y**4 to s*y**3 + i + r*y**4 + u*y + j*y**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 m when three letters picked without replacement from niiiiiiiiiiiiiimii?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n\/((n\/(n*((n*n**(-2\/9)\/n)\/n)\/n)*n)\/n))\/n)*n**(-1\/5))**44\/(n\/n**(2\/11)*n*n*n*n**(-2)\/n*n*n**(-6\/7)\/(n*n**0)) assuming n is positive.\nAnswer: n**(613363\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 50\/20 - (-1)\/2. Suppose -3*x + 12 = 0, -4*x - 2 = 5*y - 18. Let b(z) = 5 - 5*z - 2 + 7*z + y*z. Calculate b(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*g - 15 + 656 = 0, 0 = -b - 2*g + 319. Let u be (((-12)\/(-5))\/3)\/(26\/b). Let f be (-1 + -2)*(0 + -2). Solve -4*p - u = f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let j(k) = k**3 + 21*k**2 - 38*k + 204. Let q be j(-23). Suppose c*b - 40 = q. Calculate the smallest common multiple of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -11 + 36 - 10 - 4*t - 13. Let g be (-3)\/2*(-28)\/(-21). What is c(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79698 is divided by 3230.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.969631 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28200*u**2 - 10943*u**2 - 28117*u**2 - 17941*u**2.\nAnswer: -85201*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -325*l - l**3 + 6 + 4*l**2 - 3*l**2 + 340*l + 9 + 9. Let m be v(-6). What is the greatest common factor of m and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1140665 and 2965729?\nAnswer: 14828645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2488\/77 + 425\/14. Calculate the common denominator of 41\/1856 and d.\nAnswer: 20416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -30. Suppose l*f - 30 = -f. Solve -7 = -f*u - 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/977 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1243004 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 106.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/2 - 571*f**2\/2 + 285*f = 0. Calculate f.\nAnswer: 0, 1, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwuwuu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*((-3 + 0 + 2)*(-5 + 3 + 1) + 4 + 3 - 9)*(0*k + 4*k - k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdxm when four letters picked without replacement from qmmdxqqccq.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 6:39 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*21\/((-2058)\/112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3773 and 8383991.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, s: 3}. Give prob of sequence smss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 17. Find the second derivative of 71*p**y - 7*p - 71*p**2 + 4*p**4 wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krskbbbkksb. Give prob of picking 1 k and 1 r.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 3*v**2\/2 - v + 417. Let o = 2 - -2. Is 2 a factor of a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 183 = 3*i - 15, -104 = -b - 4*i. Suppose b = -x + 30. Let h = -33 - x. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 - 4 - (-3 + 3)\/4. Suppose -i + 26 = 4*o. Solve 2*u + 6 = o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s - 14. Let n be r(5). Let u be (2\/5)\/((-1)\/(-5)). Is u equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c + 2*c - y, 9*c + 3*y = 2*c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 7*m + 6, -5*f - m - 22 = 0. Let u be (8\/3)\/f*(20 - -1). Suppose -11*x = -9*x + 26. Are u and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 15*u - 80. What is the tens digit of c(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.9682 + -24.\nAnswer: -7.0318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -996*i - 216 = -1004*i. What is the lowest common multiple of i and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 542095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/152600 and -9\/15260.\nAnswer: 152600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 4. Let g = 19289 - 19269. Let s(l) be the first derivative of -1\/2*l**2 + g - 4*l. What is -2*a(x) + 3*s(x)?\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 375831?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 1}. What is prob of sequence kv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47955 - -4?\nAnswer: -47951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 441, 684, 943, 1218, 1509?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 47.8. Which is the closest to 0? (a) f (b) 5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14740 + 2863. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqql when four letters picked without replacement from qlfqqqbqqkqkblllqqq?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(819\/520))\/((-2)\/3)*(-10140)\/(-8450).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7456 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 6*c - 2. Let u = 182 - 176. Give h(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 195*c**4 + 998*c**2 - 349*c - 647334737.\nAnswer: 780*c**3 + 1996*c - 349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 7 - (-6 + -2 + -2 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515, 513, 511, 509?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 18748288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g + 30 = 0. Suppose 3*l - 2*k = -19, -2*l - 31 = 3*l - 3*k. Is l > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442603441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*2)**2 - (sqrt(1008) - sqrt(1008)*2)**2.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 139*l + 3337. Let o be b(31). Sort -2, 3, o, 0, 7.\nAnswer: o, -2, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - b = -6*b + 29, -b = 5*w + 5. Let q be (-3)\/(2 + 1) + w - -930. What is the second derivative of 938*o - 6*o**4 - q*o - 38*o**4 wrt o?\nAnswer: -528*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 2*h**2 + 2*h + 1. Let p be m(2). Let x(k) be the second derivative of 1\/6*k**4 + 0 + 0*k**3 + 1\/15*k**6 + 1\/5*k**p + 0*k**2 - k. Factor x(r).\nAnswer: 2*r**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3215 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*n - n. Suppose 1478*t + 10312 = 50218. What is the greatest common divisor of n and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24935 - -24939. Solve b*z + 5*p = 9*z, 0 = 3*z - p - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44040623.\nAnswer: 11, 179, 22367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196845)\/(-2386)*2\/5.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10)*-15)\/(-27)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.77 - -2.11. Let a = -8 + 5. Let g = a + i. What is g rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + -0.5. Let t = -944 + 940. What is the second smallest value in t, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.6*-1149.\nAnswer: 5285.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 - 32*p**2\/5 - 26*p\/5 + 12.\nAnswer: -2*(p - 1)*(p + 2)*(p + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20348 divided by -9.\nAnswer: 20348\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27714, -27712, -27708, -27702, -27694, -27684, -27672?\n\"Answer: j**2 - j - 27714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/135 and 31\/981.\nAnswer: 14715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*4 + 0\/80. Suppose v*c - 3 = 4*t - 31, 0 = -5*t - c + 35. Solve 4*b + t*p - 4*p = -2, 0 = 5*b + 2*p - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25101 (base 8) to base 13\nAnswer: -4c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 49964.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 107 + 138 = 3*w, 51 = 3*w - 6*k for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -449 - -452. Solve 4*f - y*f = -5*t + 6, -5*t - 5*f - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1695 + -0.16951157. What is u rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*z - 1646 = -1110 + 2488 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2221*y**4 + 18*y**5 + 4*y**2 + 2221*y**4 wrt y?\nAnswer: 1080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/252)\/((-346)\/12456)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -236041662 * -0.5.\nAnswer: 118020831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4 = -n. Let b = n - 7. What is the closest to -2 in 2, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/43 (b) 0.14 (c) -1.2 (d) 0.15 (e) 363 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -2 + 42\/14. Suppose -36*r + 32*r + 1304 = g. Does 49 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-45) + -16*2214\/(-12960).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1193263 to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -2*l**3\/3 + 7*l. Let j(m) be the third derivative of -m**4\/12 + 26*m**2. Determine k(j(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, a: 2}. Give prob of picking 3 r.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 65 = -66 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*k + 6 - 3, 0 = -i + 2*k + 7. Solve -m - 2*m = -i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -20, -1, 1, 0.\nAnswer: -32, -20, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**3 + 5830*z**2 - 11645*z + 5820 = 0.\nAnswer: 1, 1164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -843 (base 12) to base 5.\nAnswer: -14303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 - 5*k**3 + 4*k - 2*k**2 - 1 + 4*k**3 - 2. What is the remainder when 17 is divided by m(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -37. Let d be -3*3*11\/9. Let y(q) be the second derivative of q**3\/3 + q**2\/2 + q. Let b(z) = 4*z + 2. What is d*y(v) + j*b(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 + 2*l - 2. Let n be x(1). Suppose n*t = 3819 + 1998. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 3\/2 (c) 3 (d) 9\/16 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 19 - 48)*(n - 40 + 109 - 47) - 5*n + 3*n + n.\nAnswer: -16*n - 330","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 23*q**2 - 37 - 17 + 35 - 4*q**2.\nAnswer: -27*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:37 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2090, -4180, -6270, -8360, -10450?\n\"Answer: -2090*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y**3 + 9*y**3 - 23*y**3.\nAnswer: -38*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6780 + 6783. Put -4, 3\/7, 4\/3, 22, k in descending order.\nAnswer: 22, k, 4\/3, 3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, t: 4, r: 5, h: 3, i: 1}. What is prob of sequence ixrt?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t. Let j(w) = -2*w**2 + 1. Let v(c) = 32*c**2 - 5. Let k(s) = -5*j(s) - v(s). Give k(o(r)).\nAnswer: -198*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1591 = 5*g - 0*q, q = -5*g + 1597. Suppose -30*f - 164 = -1034. What is the greatest common divisor of g and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27759.8 and 247.\nAnswer: -6856670.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20901581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-60)\/(-5))*1*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*c + 45525 = 46167 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 0.2, -3, -1\/205?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(-1) - 78\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200588290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*x + 5483 = 3*x, 4*x = 5*s - 9129. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-2)**2 + 0.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2) + 0)*4*3 - sqrt(162)*-3*-2*6.\nAnswer: -312*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1034431 + -34?\nAnswer: 1034342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 792*y - 799*y. Let s(p) = 5*p - 2*p**2 + 11*p**3 - 17 + y + 0*p**2 - 3*p**2. Let k(t) = -5*t**3 + 2*t**2 - 2*t + 2. Calculate -5*k(g) - 2*s(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -3 + 0*q + 1\/9*q**3 + 1\/12*q**4 - 1\/3*q**2. Solve s(j) = 0 for j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1073 divided by 65.\nAnswer: -1073\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -64825 divided by -5?\nAnswer: 12965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2)\/(2\/10). Let i = 400 + -400. Solve -a = -i*a + c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*w - t, 3*w - 4*t = -2*t - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghgghhhhgggggg. Give prob of picking 1 g and 2 h.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/19761894 and -5\/32.\nAnswer: 316190304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 7*p**2 - 5*p + 6. Let l be g(-6). Suppose -3*j + 3*z - 234 = l, -2*z = 5*j + 2*z + 345. Let w = -36 - j. Round w to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 - 45*b**4 + 85*b**3 + 45*b**2 - 90*b = 0.\nAnswer: -1, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2487337*l**2 + 136854*l + 5 wrt l.\nAnswer: -4974674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*v = -9*l + 40, 0 = l + 2*v + 5. Let g be 0 - 2 - (1 - 418). Suppose -2*n + c = -265, -n - l*c = -4*n + g. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(3 + (3*-1*sqrt(832) + sqrt(832) - (-1 + -1*sqrt(832) - sqrt(832)))) + 3)*-2)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5 + 3*p**2 - 4*p**2 - 12 + 14*p + 13. Determine o(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201.29 * 0.0658\nAnswer: 13.244882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 17*n - n.\nAnswer: -18*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3744)*-1 - sqrt(3744))\/(sqrt(72) - sqrt(18)) + (sqrt(468) + (sqrt(468) - (-2 + sqrt(468) + -1 + sqrt(468))) + 1)**2.\nAnswer: -8*sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-14) - 63940\/(-28). Let p be 3\/(-30) - f\/(-40). Round p to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 9:53 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/5*-1)\/((-16)\/944)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9325795\/9 or -1036198?\nAnswer: -9325795\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 9*c**2 - 411*c + 3765. Determine t(9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3271*b + 12*b**2 - 6*b**2 + 3271*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**4\/12 - c**3 + 3*c**2\/2 - 3*c. Is v(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1784, -1763, -1726, -1673?\n\"Answer: 8*w**2 - 3*w - 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -2. Let m = p - 14. What is the third smallest value in m, -4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -443.560495 + 496.5605. Let t = x + -53. What is t rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -5, 68, 6, -12, 2.\nAnswer: -12, -5, 0, 2, 3, 6, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17*f + 11*f - 30*f + 6 + 6*f**2 - f**3. Let p = 5 - 0. Is o(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 6. Let y be d(8). Let n(r) be the second derivative of -1\/2*r**3 - 1\/10*r**5 + 16*r + 3\/2*r**2 + 1\/6*r**4 + 0. Calculate n(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4337324 and 1336?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 7250 = 11190. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11190463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -707.1 - -670. Let i = -37.09999785 - a. Round i to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 58 + 1118. Let j be (-2)\/(-1)*973\/d. Let v = j + 19\/3. What is the third biggest value in v, 0.1, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*c + 2*y, -68*c + 23*c + 10 = -40*c - 5*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*k + 2*k + 4*a, -3*a = k + 10. Let h = 37 + k. Suppose 0*u + 3*u = 24. What is the greatest common divisor of u and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 times -0.102?\nAnswer: 0.04794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(1 + 364\/(-370)). Let p = -928\/5 + j. What is the second biggest value in p, -0.05, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135104 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -16. Let t = l + 0. Let q(x) = -x**3 + 7*x**2 - 5*x + 5. Calculate q(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3137 or -3123?\nAnswer: -3123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/4 - 4*h**3 + 9*h**2\/2 - 17*h - 4. What are the prime factors of p(-13)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118349916977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 12*s**2 + 10*s - 48. Calculate a(-10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 154?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4189945, 4189957, 4189969, 4189981?\nAnswer: 4189993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/199275 and -28\/12394905?\nAnswer: 61974525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9632.75557 rounded to the nearest 10?\nAnswer: 9630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + (-53 - -27) - (0 - 16)) + -10 + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7584 - -10973. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8589, 17179, 25769, 34359, 42949?\nAnswer: 51539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-12726.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 + 2*a**3 + 2*a**2 + 1 + 3*a - 6*a**3. Let i be z(3). Let f = 467\/4 + i. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = 2*w - 368, 373 = 2*w - 3*v. Suppose -15 + w = 4*c. Suppose l - 4 = 7. Calculate the remainder when c is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103\/8 - -149\/8. Let w = 11885\/11 + -1082. Calculate the common denominator of i and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 6. Put 0, -4, q in decreasing order.\nAnswer: 0, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 1 - 13. Let h be a*(44\/(-12) - -2). Suppose -162 = -h*u + 2*v, -u + 6*v + 37 = v. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5195 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43862 + 43851 - 23*t - 131569 + 43856.\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 134, 146, 162, 182, 206?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 27 = -0*m + 5*m, -4*m + 15 = 5*s. Suppose a + 1 - 8 = -v, m*a = 3*v + 11. Solve -5*r + 9*o + 35 = 4*o, -9 = v*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35 - 5b40?\nAnswer: -5b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 5:46 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -138457, -554068, -1246831, -2216746, -3463813, -4988032, -6789403?\n\"Answer: -138576*o**2 + 117*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, p: 1, j: 3, z: 2}. What is prob of picking 1 z and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1752314 and 170691.\nAnswer: 1923005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*c**2 + 11*c + 7*c**2 - 137*c - 98*c to q + n*c**2 + a*c and give a.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182 + -183. Is -2 - a - (-108 + 7)*1 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 138*j**2 + 42921*j - 32. Calculate h(185).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*x - 12, 0 = -x - 3*x + 12. Let y be (r - 3)\/((-10)\/20). Solve 0 = -3*s + y*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6 + 3*n - 2*n - 4. Suppose 13*f - 74 = 14*f. Let q = f + 77. Give i(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = -4*i + 135, 5*i + 4*u = 169. Suppose -3*x + 8*x = 0. Suppose -4*q - 13 + i = x. Solve -18 = q*n + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 4. Let a = -13 - -6. Let c be (0 - 2) + a\/(-1). What is the units digit of q(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7778, 15560, 23332, 31088, 38822, 46528, 54200?\n\"Answer: -s**3 + s**2 + 7786*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4166 or 4302?\nAnswer: 4302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2\/119, 375 in increasing order.\nAnswer: -1, 2\/119, 4, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*m**2 - 109*m**2 + 320*m**2 as w + k*m + v*m**2 and give v.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53552, 53547, 53532, 53501, 53448?\n\"Answer: -j**3 + j**2 - j + 53553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8314427 is divided by 69869?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**2 + 2*v - 2. Let b(s) = -115*s**2 + 165*s + 2040. Let d(w) = b(w) + 20*l(w). Solve d(j) = 0 for j.\nAnswer: -25, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*b, -12*k = -9*k + 2*b - 58. Let n be 30299994 - (k\/(-3) - 0). Round n to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 502104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z**5 - 1320*z**4 + 4995*z**3 - 135*z**2 - 10935*z - 5589 = 0. What is z?\nAnswer: -3\/4, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 rounded to the nearest ten?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(2 + 18))\/((35\/90)\/((-182)\/(-52)))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 113\/4. Sort 5, -0.5, z.\nAnswer: z, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (58 + 2 - (12 - 4)) + -10\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 204*r - 10909. What is g(44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7238 and 6732374.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*j - 74. Let z(k) = -32*k**2 - 2. Let r be z(-2). Let g = -72 - r. What is the remainder when g is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 51, 79, 105, 129, 151?\n\"Answer: -a**2 + 33*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(1 + 2 + 2*sqrt(891) + (5 + (0 + sqrt(891) - sqrt(891)))*-6)*-4)**2.\nAnswer: -139968*sqrt(11) + 618196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from rbe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f + f + (3*f**2 - 3*f**2 - 4*f**3)*(0 + 4 - 2) - 4*f**3 - 3*f**3 + 5*f**3 - 2*f**3 + 0 + 0.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 51*k + 191 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m + 528 = -5*m + 120 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6717 bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (sqrt(208) - sqrt(208)*3)*-3) + 3)**2 + ((sqrt(1573)*-2)**2 - (sqrt(117) + 1)).\nAnswer: -123*sqrt(13) + 11500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*k - 19, -3*x - 53 = -7*k + 12*k. Is (-2)\/((22\/408)\/x) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/20 + 7*k**4\/12 + 7*k**3\/6 + 5*k**2 - k. Let o be c(8). Suppose -o*b = -8, a + 3*b - 102 = -4*a. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/231 and 73\/27?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/5)\/3)\/(836\/(-1045)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-3*sqrt(143))\/sqrt(11))**2 + 3*(1 + sqrt(13))).\nAnswer: 15*sqrt(13) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 8*x**2 + 8*x + 1. Let m be s(7). What is the highest common factor of m and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26 - (-4 + (-15)\/(-5)). Suppose 34*k - w*k = 1904. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 + 4*z - 1. Let w be h(-6). Which is smaller: w or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 5*j + 4. Suppose 3520 = -63*s - s. Let m be (1 - 76)\/((-3)\/(-2)). Let g = m - s. Calculate b(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + 3.09. Let q = -27 + s. Let p = q + 24.00065. Round p to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let i(y) be the first derivative of -14 + 7\/2*y**2 + 0*y. Calculate s(i(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14457 - 4264827\/295. Find the common denominator of c and 35\/38.\nAnswer: 11210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 24*g - 369. What is z(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6346.9, 6, -1 in ascending order.\nAnswer: -1, 6, 6346.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*h**2 - 6*h**2 - 12*h**2 - 66385*h**3 - 11115*h**3)*(-3*h**2 - 3*h**2 + 8*h**2)*(1 + 0 + 1).\nAnswer: -310000*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(19\/2)\/((n*n\/(n**5*n*n))\/n**(-2\/15)) assuming n is positive.\nAnswer: n**(431\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665515 is divided by 221418?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 5, q: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/1240312 + -17585763701\/11162808. Let g = t + 1574. Let k = 489\/22 + -4421\/165. Calculate the common denominator of k and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.75921 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-2 + 5)**2 - (sqrt(99) + sqrt(99)*2)*3 - ((1 + sqrt(99) + -4)**2 + -1 + 1*sqrt(99))) + -2.\nAnswer: -72*sqrt(11) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, -19.9, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b4812 (base 13) to base 11.\nAnswer: -4356a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 266791193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1728 is divided by 454?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*sqrt(1300) + sqrt(1300))*5)\/(sqrt(400) - ((sqrt(400)*-2 + sqrt(400) - sqrt(400))*-2 + sqrt(400)) - sqrt(400)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 30113*v**3 - 17*v**2 - 34*v - 23326. Let m(p) = 10038*p**3 - 6*p**2 - 12*p - 7775. Let g(a) = 17*m(a) - 6*u(a). Differentiate g(k) wrt k.\nAnswer: -30096*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07514 + 0.21?\nAnswer: 0.13486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5869*o + 3239*o + 1443 = -2877*o + 13546 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 66. List the prime factors of f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4591, 5, -1.15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27 + -1)*46\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 6*f - 1. Let b be x(-1). Put -4, -2, b, 2 in increasing order.\nAnswer: -4, -2, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/360 + z**3\/3 + 2*z**2. Let t(k) be the first derivative of r(k). Let o(b) = -b**2 - 3*b**2 + 0*b**2. What is t(o(a))?\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374526?\nAnswer: 2, 3, 20807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 776, -5, -4, 393?\nAnswer: 393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*a = -20, 0 = 4*m - 0*m + a + 45. Let j be (-3)\/((-3)\/(-4)) + 21. Let i = j + m. What is the remainder when 19 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1671048024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22917, -22915, -22913?\n\"Answer: 2*x - 22919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3080 and 1540?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -334*t - 1000. Let z be l(-3). Solve -2*o + 3*d + 3 = 0, 30*o - 29*o - 3 = z*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 125? (a) -0.2 (b) -4\/5 (c) 7.9 (d) -4\/257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 - 5. Let d be (-22)\/(-26) - (-18)\/117. Let q(s) = -1. What is d*y(k) - 5*q(k)?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*c = 36, 39*x - 9*c = 40*x - 103 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177955.\nAnswer: 5, 35591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 12*w + 21. What is the remainder when s(5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6578 - 5655. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**3\/3 - i - 6. Let s(x) = -x**2 - 6*x - 6. Let o be s(-5). Let h(n) = -2*n**2 - 1. Give o*h(a) + 3*v(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 5*i + 2*i**2 - i**2 + 11 + 17.\nAnswer: i**2 + 5*i + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -6*a + 1064. Let t be (-1653)\/a + (-4)\/(28\/3). Let c = -8 + 24. What is the greatest common factor of t and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**2\/2 - 3*r - 500. Let a(j) = 5*j + 16. Determine 4*a(x) + 22*h(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - x - 11 = -2*x, x = -5*m + 29. Let s be -3*-20*(-1)\/m. What is the hundreds digit of 568\/(-6)*15\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaga when four letters picked without replacement from nphgghhhhhggaah.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibbo when four letters picked without replacement from {o: 2, i: 4, b: 8}?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1277108941?\nAnswer: 1277108941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xamamaxmxmmxxxmccmx. Give prob of sequence xm.\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 10*n**2 - 6*n - 25. Let g be r(9). Let c be (-594)\/9 - (-2)\/g. Let d = 134 + c. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.245 (b) -1 (c) 18 (d) 11 (e) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46570974 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/522 and 9\/1508?\nAnswer: 13572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*r)*(5 - 5 + 5*r) + (-6*r + 3*r**2 + 6*r)*(-23 + 10 - 14) to the form t + d*r + g*r**2 and give g.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 619.018km in meters?\nAnswer: 619018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -11*m - 32 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**4 - 3340600*y**2 + 285*y - 317.\nAnswer: 24*y**2 - 6681200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2412936 to 3 dps.\nAnswer: -3.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129459.8899987 - 129460. Let n = 0.11 + i. What is n rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 20 = 638*p - 643*p, 5*p - 15 = 5*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 6. Let s be y(-4). Let p be (-1 - (11 - 1)) + -121 + 153. Solve -5*t = -s*t + 2*g - p, 5*g - 15 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvj when four letters picked without replacement from {j: 5, v: 15}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 0. Let n = k - 6. Suppose y - 22 = -j, -7*y + n*y = -3*j - 70. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -9. Suppose -u*r + 80 = -12*r. What is the remainder when 45 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + 73. Let c = w + -98.99902. What is c rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 845, 885, 925?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v - 78 = 0. Let f = v + -16. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 27*s - 20. Let p(y) be the second derivative of 1\/6*y**3 + 0 + y**s - 1\/12*y**4 - 3*y. Give p(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15243124 is divided by 91826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7371.8 rounded to the nearest 10?\nAnswer: -7370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2753 = -v, -3*n + 2082 = 6*v - v. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r**3 + r**2 + 17*r + 7. Is c(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m + 0*m)*(6 + 4*m - 6).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 t, and 1 e when four letters picked without replacement from ehthdhtehhtthhehhh.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16822580 divided by 5?\nAnswer: 3364516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/((-14)\/21). Let r = q - -5. Let c(n) be the third derivative of n**6\/120 - n**5\/15 + n**4\/24 - 5*n**3\/6 - 43*n**2. What is c(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2492 - -2488. Let b(n) = 16*n + 66. Calculate b(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 606 + 54. Suppose 3*b = -b + n. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21167 less than -7302?\nAnswer: 13865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-nine thirds of a century?\nAnswer: 31600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002587743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.22, -0.2, 10, 3?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 3720200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 66250.32ug?\nAnswer: 66250320","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 4678511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70.9 + 71. Sort v, -2, -0.4, -1\/4.\nAnswer: -2, -0.4, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)\/(-2*sqrt(12)) + (sqrt(5600) - sqrt(5600)*-1) + sqrt(5600))\/(4*sqrt(1152)*-1 - (-2*sqrt(1152)*-1 + sqrt(1152))).\nAnswer: -59*sqrt(7)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*v - 14 + 13, -v = -4*u - 27. Let s(w) = -2*w**3 + 13*w**2 + 12*w - 29. Let m be s(v). What is the greatest common factor of 18 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v**4 + 213*v**3 - 2*v - v**4 + 7*v**4 + 11*v**4 - v**2 + 2*v**4 to the form j + x*v + o*v**2 + a*v**4 + r*v**3 and give r.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*v - 109*v - 3*d = 25, 3*v - 3*d = 18. Solve v*l = 16*l + 63 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1806, 14815, 50216, 119205, 232978, 402731?\n\"Answer: 1866*p**3 - 53*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.6 + -5.6. Which is the nearest to 4\/5? (a) 4 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.22 and -226?\nAnswer: 953.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15234 is divided by 1691?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1003004 (base 5) to base 11\nAnswer: 1102a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i. List the prime factors of g(-13).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 - 8\/(-3). Let d(r) = -4*r + 6. Let x be d(-6). Suppose s*m = -0*m + x. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 156?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.32 + 0.12. Which is the closest to 1? (a) 0.8 (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/7))**38)**(-1\/22)*j**(-8\/5)*j*j\/(j**(1\/12)*j)*j*(((j\/((j*j**1*j)\/j))\/j)\/j*j)**(-2) assuming j is positive.\nAnswer: j**(21083\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2005150 or 2005144?\nAnswer: 2005144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + 8801 - 8763)*(1 + 2 - 2).\nAnswer: -3*x + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 + 395*k - 390 = 0. What is k?\nAnswer: 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)\/t)**(2\/11)*(t**16*t*t)\/t**(13\/3) assuming t is positive.\nAnswer: t**(449\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-2) - 6) + -2. Let g(f) = 2*f + 7. Let p be g(5). Let v = p - c. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r*s**3*u + r*s**2*u**2 + 4*r - s**3*u**2 + 80*s**3 - 4*s**2*u - 18*s**2 wrt s.\nAnswer: 12*r*u - 6*u**2 + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110108654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) -74 (c) 393 (d) 3 (e) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -110, -442, -994, -1766?\n\"Answer: -110*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 7:30 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-5) + 8\/10. Suppose h = l + 3*l. Let y be 16\/(l + 2\/(-4)). Calculate the highest common factor of y and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2. Let j(t) be the third derivative of -t**4\/8 + t**3 + 8*t**2. Let b(o) = -5*o + 11. Let x(d) = 6*b(d) - 11*j(d). Determine x(z(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37.2 + -37. Which is the closest to -15? (a) r (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 23\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 40*r**3 + 10*r**2 + 21*r - 6. Let x(h) = 7*h**3 + 2*h**2 + 4*h - 1. What is -2*o(s) + 11*x(s)?\nAnswer: -3*s**3 + 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3119*q - 3117*q. Solve -r = 2*w - 0 - 2, -5*w + q = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 11*m**4 + 10*m**4 + 5*m**4)*(4 + 0 - 1) as z + f*m**2 + t*m + q*m**3 + j*m**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 560 = 18*j - 14*j, -3*b + 415 = 4*j. Solve -2*i + b = 139 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260739881 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: Let v(p) = p - 9. Let y(x) = x**3 + 6*x**2 + 5*x - 1. Let i be y(-4). Let q be v(i). Suppose 3*c + 74 = 2*d, -q*c + 7*c = -d + 63. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3743*o**2 + 850*o - 848*o + 3738*o**2.\nAnswer: -5*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o - 4*o = -11*o. What is the closest to 2 in -0.04, -2, -5\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13b9478 - -21?\nAnswer: -13b9457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -1 - 14. Suppose -10 - p = 5*u. Which is the closest to 0? (a) u (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85435583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222220 (base 3) in base 7?\nAnswer: 4146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -311\/5 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q + 8 = 0. Solve -5 = 3*x + q*j, -x - 6 = x + 4*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21766.\nAnswer: 2, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, t: 2}. Give prob of sequence tt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -495150 in -2, -81, 5?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -5, 114 in descending order.\nAnswer: 114, -5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -153\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - -1 - ((39 - 103) + 54)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 673*s**5\/4 + 6098*s**3\/3 + 665*s**2 + 2. Differentiate g(t) wrt t.\nAnswer: 20190*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. Suppose -q = -3*s - s - p, 4*p + 22 = 3*s. Let d = s - -7. Solve 0 = 2*u - 3*g - 4, 4*g - d = 4*u - 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 592*s**2 + 7236*s + 244. What is d(12)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + 0*l)*(-26*l**3 - 19350*l**2 + 2*l**4 + 19350*l**2 - 4) + l**5 + l**5 + 0*l**5.\nAnswer: -4*l**5 + 78*l**4 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 28*a**2 + 3*a - 38. Determine p(-28).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 757 and 160996489?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4030, 12731, 27232, 47533, 73634, 105535?\nAnswer: 143236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three quarters of a millennium?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*n**5 + 10*n**3 - 34*n**2 wrt n?\nAnswer: 1440*n**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -0.1 (c) 267\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (895242\/8)\/(6\/16). Let y = 548414 - t. What is y rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {l: 2, u: 2, h: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*h + 5*h, -3*h + 101 = 2*i. What is the remainder when i is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrr. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 124740168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 15. Let p(x) = -2*x - 8. Let q(h) = -3*j(h) - 5*p(h). Let d(i) = 4*i + 0*i - 1 - 6 + i**2. Let f be d(-6). Calculate q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12886338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f**3*o - 2*f**3*q - f**2*q**2 - 3*f*o**2*q**2 - 2*f*o**2 - 51*q**2 with respect to o.\nAnswer: 8*f**3 - 6*f*o*q**2 - 4*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 766*p - 9189. Calculate d(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 3711520?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -2022?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/8)\/((-15)\/6). Let x = -3366 - -3365.7. Which is the closest to d? (a) -5 (b) x (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 78*g**2 + 282*g - 119. Determine p(-74).\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 - 3*q**3 + 0*q**3 + (2*q**3 + 0*q**3 + q**3)*(56 + 1326 + 90) to the form b*q + y*q**2 + f*q**3 + j and give f.\nAnswer: 4417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.255 in -0.2, 0.003, -2, -3, 0.2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**2 + 3447*j - 283020 = 0.\nAnswer: 89, 1060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7716269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/2 + 791*x\/2 - 78155 = 0. Calculate x.\nAnswer: 385, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 98.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*1*24\/15. What are the prime factors of k*((-18)\/4 + 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -141, -363, -673, -1071, -1557, -2131?\nAnswer: -2793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 20*l**2 - 666*l + 4657. Let x be g(7). What is the highest common factor of x and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 894*q + 91190. What is i(-102)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 591 + 19*b**2 - 20*b**2 - 302 + 13*b - 295. Let i = 8 + 3. Give f(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -4)*-4*3\/(-2). Let h(b) = -3*b**3 - b. Let v be h(-1). Let j be (v\/l)\/((-2)\/(-12)). Solve -4*g - j = 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:48 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 > 311699\/265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (0 - (9 - 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2 = t. Suppose t*u - 7 = 13. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from xxxxiixixix?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201964 and 133.\nAnswer: 3837316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31420?\nAnswer: 2, 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qyyqyqyyyhyqyh.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1067471 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -601 and -600 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 33*t**3 + 5*t - 5. Let y(k) = 560*k**3 + 84*k - 84. Give -84*b(j) + 5*y(j).\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)\/h*h)**(-1\/29)*(h**1*h)**(-46) assuming h is positive.\nAnswer: h**(-8005\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Let q = g + -4. Let n = 1.4 + q. Put n, -2\/7, -1\/6 in descending order.\nAnswer: n, -1\/6, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 230?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2715 = -q - 566, 4*q - 2*j = 8592. Solve q*g = 2139*g + 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*g**4*i**2 + 796*g**3*i**2 + 5*g**3 - 445*g**2*i - 3*g**2 - 11*g*i**2 wrt g?\nAnswer: -144*g*i**2 + 4776*i**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/6877647?\nAnswer: -1\/6877647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 25 = 0, x + 128*h - 126*h - 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.54 - -0.64. Which is smaller: 0.028 or w?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92.0202 - -0.5.\nAnswer: 92.5202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 4. Let n be (18\/(-3) - -2)*1. Let u(t) = -3*t + 11. Let l(i) = 5*i - 16. Let r(c) = 5*l(c) + 7*u(c). What is n*r(k) + 3*x(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 144*z**3 + 1 + 4 - 188*z**3 - 132*z**3.\nAnswer: -176*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -0.039190867?\nAnswer: -1.960809133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26267483 (base 9) in base 2?\nAnswer: 110001010001101100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209284430 to the power of 1\/2, to the nearest integer?\nAnswer: 14467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2346, -4, 249 in descending order.\nAnswer: 2346, 249, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -98335.051 rounded to the nearest one hundred?\nAnswer: -98300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**9\/7560 + q**6\/360 + q**4\/8 + 2*q**2. Let w(u) be the second derivative of g(u). Find the second derivative of w(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 3*a - 6*a)*(-3 - 2*a + 3) + 2*a**2 - 2*a**2 + 2*a**2 + (6*a + 2*a - 4*a)*(-6*a - a + 4*a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*x = -0*x + 4, 8 = 4*g + 2*x. Solve -1 - 7 = g*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-956)\/(-954) - 4974\/43937.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 13 + 19 = 2*l, -q + 3 = -l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 43 + 38. Let z be (-18 - 1)*9\/(-3). Let l = z + -32. What is the remainder when l is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 5*c**3\/3 + 2*c**2 - 118*c. Let r(w) = -90*w - 35. Give -4*r(s) - 35*t(s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724 - 126 = -170*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 1. Suppose -2*r = -a - 12. Let n be 2\/(-4) + (-15)\/(-2). Solve -4*v = -r - n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16495546 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/2 - 17097*o\/2 - 299810 = 0. What is o?\nAnswer: -35, 17132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 - 2)*(-4*v + 5*v + 0*v) to m + i*v and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453881612.\nAnswer: 2, 3, 23, 229, 23003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, 54, 79?\n\"Answer: 25*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 352961124\nAnswer: 352961123.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2. Let f(v) = 4*v**2. Let m(o) = 13*f(o) - 6*g(o). Let j = -2 + 4. Let n(d) = 0*d + 0*d + d**j. What is m(n(k))?\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 9:19 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + 56\/3. Suppose i = -i + 1328. Suppose -4*s = 2*c + 323 - 997, -4*c + i = 4*s. What is the greatest common divisor of t and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-12)\/((-36)\/(-6)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let d = -0.3 - -0.1. What is the closest to -9 in d, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12053.86511 - -12054. What is u rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -406\/1515 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -12. Let m(o) be the first derivative of -4*o - 1 + 1\/3*o**p + 1\/2*o**2. Give m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 57*f**2 + 24*f + 97. Calculate i(28).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*y - 0. Let z = y - 4. Solve -z = 3*g + 2*f - 14, -g = 4*f - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**6\/120 - x**4\/24 + 20*x**3\/3 + 5*x**2. Is f(0) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(847))**2 - sqrt(1008)\/sqrt(9)).\nAnswer: -24*sqrt(7) + 20328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, k: 1, c: 2, z: 8, v: 2}. What is prob of picking 2 z, 1 c, and 1 u?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -17 and 18.5.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 4. Let m be (-10)\/p*(0 + -15). Calculate the greatest common divisor of 10 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrb when three letters picked without replacement from thrryryhuyuubt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091616967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 5*r + 6*r)*(-r**2 - 2*r + 2*r) + (-2*r + 2*r - 2*r**2)*(r + 2 - 2) - r**3 + 1 - 1 - r**3 + 0*r + 0*r + (-2 + 2 + 2*r**2)*(-4*r + 2*r + 0*r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 2)*(p**4 - 3 + 3) + (-25*p + 4*p + p)*(2*p**2 - 2*p**2 + 2*p**3) as m*p + h*p**4 + t*p**3 + u + w*p**2 and give h.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-52) + (-216215469)\/(-13) - 2. Let h = 4568043 + r. Round h to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24896 + 25132. Solve -m = 10*a - 276 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197459 is divided by 456?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/5 - 41616*q\/5 - 216486432\/5 = 0 for q.\nAnswer: -10404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k. Let d(o) = -3 - 4389*o + 4389*o + 3 + 179*o**2. Give x(d(u)).\nAnswer: 358*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, r: 1, a: 3, x: 9, p: 1, l: 1}. What is prob of sequence apa?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (3 - 14) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/60 - a**4\/24 + a**3 - a**2 + 12. Suppose 35 = 3*h + 5*m, 3*m + 1 = 2*h + 3. Calculate z(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-6)\/100*2)\/(133 + (-780)\/6).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q + 3*q**2 - 22*q**2 + 5 + 7*q**2 + 11*q**2. Let u(r) = -2*r + 9. Let g be u(8). Determine f(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -119 + 2205*s + s**2 + 81*s**4 - 82*s**4 + 122 as f*s**2 + q*s + c + w*s**4 + z*s**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -419, -834, -1253, -1676?\n\"Answer: -2*n**2 - 409*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 119*w**2 - 16*w**2 - 192*w**2 + 2 to f + b*w + s*w**2 and give s.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 2*v**2 - 2*v + 7. What is o(-3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234963305?\nAnswer: 3, 5, 47, 103, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 11. Suppose -3*w = -3, 4*o - w = -3*w + 2. Solve o = l - 0 + a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 21 (b) -39.3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430566838?\nAnswer: 2, 13, 101, 113, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 - -3.08. Let o = -45.03 + 45. Which is the second biggest value? (a) 0.5 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2 (b) 4.8 (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 616, 17 in descending order.\nAnswer: 616, 17, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -16838, 2 in decreasing order.\nAnswer: 2, -5, -16838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -25*t + 3145. Let i be u(68). Is 1447 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-16) + 14\/8. Suppose 0 = 7*i - 19*i + 60. Solve 0 = -s*v + i*g - 9, -3 = -3*v - v + 3*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -554.52543 to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32.712406 and -4.\nAnswer: -36.712406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -489 - -493. Solve -4*a + 12 = -d*w, 2*a = w - 2*a - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-13) + -6*(720\/(-65))\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47090 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 4*h**2 + 4*h - 5. Let v be c(-5). Suppose -4*a + v*a = 56. Is 14 a factor of (a\/4)\/((-2)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyw when three letters picked without replacement from {n: 1, l: 4, y: 1, w: 1, f: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749, 1487, 2271, 3125, 4073, 5139?\nAnswer: 6347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 67.37962 days?\nAnswer: 5821599168000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -32*g**4 + 6*g**4 + 4*g**5 - 34*g**4 + 152*g**3 - 96*g**2 = 0.\nAnswer: 0, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203488 is divided by 624.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256809260\/14260 + 4\/(-62)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 2, h: 3, u: 2}. What is prob of picking 2 u and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -88. Let g(i) = -3*i - 1. What is g(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = 5*y, 3*t = -2*t - 10. Suppose y*i + 4*g + g - 24 = 0, 3*i = -4*g + 22. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 3*n. Suppose 6 = n*g + 86. Let v = g + 39. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(11\/2)\/x)\/(x**(-19)\/x))\/((x**(-6\/7)*x)\/x*x*x*x**0) assuming x is positive.\nAnswer: x**(327\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*c**4 - 14*c**3 - 74*c**2 - 4*c + 48 = 0. Calculate c.\nAnswer: -2, -1, 3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 0. Let x = v - 1.99. Let w = x + 5. Which is the closest to -2? (a) 0.3 (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2)*1\/((-85)\/136).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, e: 6, o: 1, l: 2}. Give prob of sequence yye.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 42*h + 3. Suppose -n - 3 = -2*i, -n - 3 = 2*i - 4*n. Suppose -15 = i*t, 0*o - 3*o = 2*t - 5. List the prime factors of m(o).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 < 14344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*r - 2*r. Let w be r + 1 + 0 + -3. List the prime factors of 9\/15 - (-67)\/w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, c: 1, h: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 8 - 9 = 2*o, -40*o + 46*o - 7 = k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + n**2 + n + 3. Let j be k(0). Find the second derivative of -5*c**j + 4*c**2 - 14*c**2 + 10*c**2 - 5*c wrt c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 5*k. Suppose 0 = s + 5*n - 35, -4*s - 5*n = -6*s + 25. Let i(r) = 15*r - 49*r + s*r + 13*r. Calculate -a(c) + 5*i(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by 177?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/54 - -11\/108. Let x(n) be the second derivative of -1\/3*n**3 + f*n**4 + 2*n + 0 - 3\/2*n**2. Factor x(i).\nAnswer: (i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/231)\/(2*5\/75)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 2 - 13, 3*b - 24 = 3*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 124*h**2 + 18*h**2 + 107*h**2 + 40*h**2 - 79*h**2 to k + f*h**2 + c*h and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - -55. Let o = -58 + g. Solve -x + 0 = -4*r + 8, 5*r = -5*x + o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 14*c + 169. Let k = -25 + c. Let y be (k\/(-2) + -6)\/(2\/(-2)). Solve y = -3*z - z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4916.61 rounded to the nearest 10?\nAnswer: -4920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)\/d)**(-29)\/((d\/(((d**(-1\/4)*d)\/d)\/d)*d)\/(d**4*d)))\/((d*d*d**(-1))**(-17)\/(d**1)**(-8)) assuming d is positive.\nAnswer: d**(881\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 - 32205*n**4 + 290110*n**3 - 902820*n**2 + 1160920*n - 516000 = 0.\nAnswer: -6450, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -2aa59a?\nAnswer: -2aa5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 2*w - 3*w - 25 + 25 + 7*w + (0 + 2 + 0)*(2*w - 4*w + w))*(0*w + 0*w + 2*w**2) in the form t + v*w**2 + s*w + d*w**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.48 and 0.22?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201686 and 88474.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (319\/77)\/(5\/((-525)\/15)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*a, 0 = 4*a + m + 2*m - 19. Suppose -4*l + 413 = a. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*y**2 + 0 - 1\/5*y - 1\/5*y**3.\nAnswer: -y*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 10:53 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let v = -10 - -13. Let t be p(v). Solve -j + 5*f = -11, 0 = -t*j + 5*j + 4*f + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 2. Let f be m(-5). Let i(c) = 3*c - 1. Let p(d) = -4*d + 2. Let u(h) = f*i(h) - 6*p(h). Determine u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -105002?\nAnswer: -10500a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/1587 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44695 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/98)\/(60\/35).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -316 or -317?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 1. Let u(i) = i**2 + 5*i - 5. Let m be u(-6). Let w(l) = 2*l**2 + 4*l - 4. Let f(g) = m*w(g) - 12*h(g). Factor f(s).\nAnswer: 2*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 41*q**2 + 148*q. Let s be r(-37). Solve s = 2*p + 4*u + 8, -2*p - 9 = -u - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1643*v + 3164*v - 1640*v.\nAnswer: -119*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/(-105)*(-7)\/(-2)*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2083986 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4033360 - 67.\nAnswer: 4033293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**4\/8 + 2*u**3\/3 + 3*u**2. List the prime factors of h(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136420 divided by -190?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -12, -20, -30, -42, -56?\n\"Answer: -s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*w + 49*w + 3*b = 5, -2*b = 2*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 9, j: 1}. What is prob of picking 1 m, 1 j, and 1 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25685, 25677, 25663, 25643?\nAnswer: 25617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.565327 and 61.078657.\nAnswer: 62.643984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411100234 (base 5) in base 13?\nAnswer: 99641c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 18.95463654.\nAnswer: -19.05463654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 780036679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 51*r - 258. Let l be t(48). Is -114 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39101 + 39094. What is the nearest to c in -11, 0.5, 3, -2\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4011705.\nAnswer: 3, 5, 59, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -9. Let m = -617 + 628. Solve m = q*a + 26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 27*k - 2. Let b(x) = 3*x. Let c = -45 - -48. Let r(j) = c*s(j) - 24*b(j). Let z(w) = w - 1. What is -r(d) + 6*z(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1399.87 - -1406. Let q = 6.1 - d. What is the third smallest value in q, 0.5, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31187437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k - 22. Let z be c(-3). Suppose 19 - 146 = -4*n + 3*p, 0 = z*n - p - 63. What is the greatest common divisor of n and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 5800?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-30) + 5\/3. Factor -6\/5*m + 2\/5*m**j + 0.\nAnswer: 2*m*(m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-15)*-6)\/((-84)\/30)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 0.211\nAnswer: -3.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 584489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 4*b + 7. Let x be n(-3). Suppose -5*a - 16 - 4 = 0, 3*a + 1444 = x*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11311*x**2 - 418*x.\nAnswer: -x*(11311*x + 418)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -16. Suppose -2*t - 3 = -b. Suppose 2*p = t*p. Put -0.2, 1\/3, p in increasing order.\nAnswer: -0.2, p, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, h: 6, m: 1, j: 5}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, -2 in ascending order.\nAnswer: -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/72*(-1)\/(-2)*(0 + -5).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(-9\/7)\/(o\/(o\/o**(-2\/3))*o**12) assuming o is positive.\nAnswer: o**(-449\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -163.5+239958210\nAnswer: 239958046.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5\/17 (b) 777\/2 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1779 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 3*x - 5*x - 436, 10 = 5*x. What is the greatest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -26839*u - 26833. What is m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28341 is divided by 1287?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(20)\/sqrt(40))**2 - sqrt(2) - ((sqrt(2) - (sqrt(2) + 2)) + -4)) + -1)*5.\nAnswer: -5*sqrt(2) + 75\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5309807 is divided by 1061955.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = w - 18, -2*w + 26 = w - 2*s. Suppose 8 = g - 2. What is the lowest common multiple of w and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1769 (base 10) to base 16\nAnswer: -6e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1030, -56?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*m**2 + 1 - 4*m + 4*m + m**2 + (2 - 2 + 2*m)*(3*m + 4*m + 2*m).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -146\/53 - -9123\/1484. What is the common denominator of -25\/22 and u?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 6. Let z(q) = q**2 - 16*q + 30. Let s be z(14). Let v be t(s). Solve -6*r + r - 15 = v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gygr when four letters picked without replacement from {y: 4, r: 1, v: 1, h: 2, i: 1, g: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70*l**2*r**3 - 8*l**2*r**2 + l*r + 2*l + r**3 - 811 wrt l?\nAnswer: 140*l*r**3 - 16*l*r**2 + r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.35 (b) 15\/4 (c) 634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-11)\/(-2))\/((-21)\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -121323019, -121323021, -121323023, -121323025?\n\"Answer: -2*u - 121323017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, r: 5, z: 5, p: 1}. Give prob of sequence jz.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9932*w - 49622. Calculate i(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g - 105. Let p(q) = 12*q - 106. Let b(h) = -7*l(h) + 6*p(h). What is the tens digit of b(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933987 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -551*w - 8. Let t be 14\/(-8) + 2\/(-8). List the prime factors of n(t).\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = p + 25, 0 = -n + 4*p + 1. Solve 6 = 2*j + 2*g, -4*j - j = -g - n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23256 = 10*a - 6*a. Let r be (a\/45)\/(2\/(-20)). Let c = -5089\/4 - r. Calculate the common denominator of c and -45\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 57*i - 36. Give m(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 12 - 5*i**3 + 17*i**3.\nAnswer: 12*i**3 - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 131*y**2 + 2034*y + 4. Calculate m(14).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1, 4 in ascending order.\nAnswer: -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 3*v + (-2 + 6 - 3)*(2*v + 3 - 3) + (-15 + 5 + 7)*(8*v + 6*v - 8*v) + 3*v - v - 4*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/114)\/((-37)\/222)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 3. What is the remainder when 22 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7942415 days?\nAnswer: 68622465.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877397645 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-7))\/((-14)\/(-98)). Let t = 6 + i. Solve -2*f + t + 2 = 2*p, 3*f - 20 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-121)\/11)\/(-33)*72\/96. Find c, given that 2*c - b*c**3 - 5\/4*c**2 + 12 = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hffwgfu. Give prob of sequence hgg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 + -6 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49.879 - -49.679. Let j = -27 + 26.956. Is w greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/246 + (-1)\/((-6765)\/1232).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 872 + 1048. What is d rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206194 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1600 - 1447. Suppose 0 = -5*j - 4*j. Suppose 4*x - 3*t - 91 = 0, j = 5*x + t + t - 108. What is the remainder when o is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1 + 12 + 17*h - h**2 - 2*h. Is l(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1526 is divided by 257?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4\/11, 0.6, -7, -1 in ascending order.\nAnswer: -7, -1, 4\/11, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4*n*v - 2*m**4*v - 4811*m**3*n**2 - 3*m**2*n*v + 7*n**2 - 4*n + 9*v wrt m.\nAnswer: 24*m*n*v - 48*m*v - 28866*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.73084 weeks in days?\nAnswer: 537.11588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.042 + -0.03. Let f = 0.012086 - b. What is f rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + 666 = 38*p - 112*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 28. Let y be 15 - a - (-7 - -1). Suppose 34 = y*k + 7. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 979407 and 364221.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 188006 = -4*d, -4*d + 172498 + 15492 = 3*j. List the prime factors of d.\nAnswer: 43, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 + 213. Suppose 3*t - p = -t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 3537.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3276 + -3275.81. Which is the second smallest value? (a) u (b) -3 (c) 8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 3. Let c be m(7). Let k be ((-3)\/(-6) + -1)*c. Solve k*d - 5 = 3*n, 0 = -d - 4*d - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*43\/1677*39?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.191 - 0.211. Which is the nearest to -1? (a) -0.3 (b) u (c) -0.4 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 9 + 7 - 4*o. What is i(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 1 + 3. Suppose -5*m + 200 = -f*m - 5*y, 4*y = -4*m + 256. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/11 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -24, -50, -94, -162, -260, -394, -570?\n\"Answer: -g**3 - 7*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7188 + 7827. What is the greatest common factor of n and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1160590 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 2 - (4 - 4). Let x = 0.4 - 0.3. What is the closest to x in m, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3\/2 - 17453*l**2\/2 + 174451*l\/2 - 366303\/2 = 0.\nAnswer: 3, 7, 17443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b**3 + 9 - 7*b - b**2 + 11*b**3 - 3*b**2. Let p be w(6). Let h be (-2 - (-2 - p)) + -3. What is the greatest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 3*i**2 + 14*i**2 in the form y*i + m + d*i**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 29*w**2 + 14*w - 8. What is the remainder when o(-17) is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -2*l - 5*c + 7, 3*l = -4*c - 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4134250009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -144?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 4680.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.001 (b) 3 (c) 11\/1064 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -14*l + 9*l - 5*y, -3*l + 3*y - 3 = 0. What is the nearest to -1 in l, -10, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 34\/3. Is t at least 2.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(((-3)\/(-1 - -4))\/(-1)). Suppose -4*r - 2*l + y*l + 22 = 0, -3 = l. Solve 0 + 24\/5*o**3 - 6*o**2 + 12\/5*o - 6\/5*o**r = 0 for o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -166, -349, -564, -823, -1138?\n\"Answer: -2*b**3 - 4*b**2 - 157*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 w when four letters picked without replacement from wlylwuwwwylwl.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/6 + (-8)\/(-12). What is the second derivative of 0*g + 2*g - 2*g**2 + k*g**2 wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563861224 is divided by 1673?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -576 divided by -96?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - 2. Is -17 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2262c (base 15) to base 11.\nAnswer: -75208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, v: 1, d: 3}. What is prob of picking 1 v, 2 c, and 1 d?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 6*c**2)*(-14*c**2 + 153 - 153).\nAnswer: 84*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (307\/(-4))\/(8\/(-32)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 4:30 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + (sqrt(27))**2)*6.\nAnswer: -486 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*l**4 - 5*l**2 - 29*l - 2?\nAnswer: -492*l**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16668440 equal to -16668438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**6\/6 + 8*i**3 - 10. Find the third derivative of f(v) wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 2 - 2*t)*((-2*t**2 + 2*t - 2*t)*(-2*t + 6*t - t) + 107*t**2 + 83*t**3 - 107*t**2).\nAnswer: -77*t**4 + 154*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-5)\/15)*(-300)\/180.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.035 + -1.135. Let m = -0.7 - l. What is m rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-12) - 4)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 0 + 4\/21*w**7 + 0*w**5 - 1\/6*w**4 + 0*w**3 - 6*w + 0*w**2 + 0*w**6. Find the third derivative of y(s) wrt s.\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 75, 278, 677, 1338, 2327, 3710?\nAnswer: 5553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16932064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {j: 5, e: 3, g: 1, t: 5, m: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0734603718 and -0.1.\nAnswer: -0.00734603718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1500\/90*(-36)\/(-10)*(-10)\/20\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1957113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.085 - 0.025. Suppose 5*r - 2*w = 25, 0 = 2*r + r + w - 15. What is the biggest value in f, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 1537, 5566, 13417, 26362?\nAnswer: 45673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -3. Let p be (-31)\/(-279)*-72 + (-78)\/(-10). Sort d, 0.2, -1, p in ascending order.\nAnswer: -1, p, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4345 - -2.\nAnswer: -4343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 5*w**2 + 2*w + 3. Let l(b) = 12*b - 44. Let y be l(4). Determine v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1052*w - 7336. Let y be l(-7). Solve -y*z + 26*z = -14 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 2:49 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 11) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11069 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/3647 - -149523\/7294. Let m = -171009\/458768 + 1\/8656. Find the common denominator of m and u.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3173 is divided by 115.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*b - 38. Let m be (-38)\/(b\/5)*-1. Suppose 4*l = 2*k - 5*k + 59, 0 = -k - l + m. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99114 = 2*w - 3*z - 515492, -4*z - 624567 = -3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.8, -0.2, 215 in ascending order.\nAnswer: -0.2, 18.8, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7))**(3\/2)*j**(-2\/39)\/(j**(-5\/7)*j) assuming j is positive.\nAnswer: j**(25\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52426766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/97 or 3514698?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5623\/15 + 375. Which is the smallest value? (a) 4\/9 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, b: 9}. What is prob of picking 1 z and 2 b?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -62 (b) -8 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3413350510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*h + 23*k = -167*h + 67, 5 = -4*h + 3*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-154)\/(-3) + 4)\/(1\/3). Suppose 22 = 3*n + 7, 3*y = -2*n + v. Is 52 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 795, 2885, 7043, 13971, 24371?\nAnswer: 38945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-8))\/m**16)\/(m**(17\/2)\/(m\/(m\/(m\/((m*(m\/(m\/((m*m*m\/m**(-2\/17)*m)\/m)))\/m*m)\/m))))))**(6\/7) assuming m is positive.\nAnswer: m**(-3429\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3728 + -11?\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 6) + (6 - (5 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 6. Let l = 2 - 2. Calculate t(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -20 - 10. Suppose -7 = u*m - 57. Solve 4*z + 9 = 3*d, z + m - 2 = d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {h: 2, b: 1, q: 4, y: 2, o: 6, d: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 12. Suppose x = -4*x - w - 6, -q*w = -16. Which is the closest to 3\/5? (a) -4\/7 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*g - 125. Let f = g + 140. What is the remainder when 56 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 - 7740*f**3 + 3806140*f**2 + 5264376480*f - 2313033715520.\nAnswer: -5*(f - 524)**2*(f + 1298)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22140 is divided by 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 5*a**2 + 2*a + 4. Let u be p(-4). Let l = 23 + u. Solve 2*y - 3 = 3*q, 2 = -3*q + q - l*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 1 (c) -2.1 (d) -5 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.235 + 193.765. Let m = d - 194.3. Which is the third smallest value? (a) m (b) 80 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 217\/(-93)*2\/(-7) - 4\/(-3). Let d(k) be the second derivative of -1\/6*k**4 + 1\/3*k**3 + 0 - k**z - 22*k. Give d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659788.\nAnswer: 2, 13, 59, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.7088\nAnswer: -3.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = n - 2*n + 5*w, 2*n = -w + 18. Suppose -9*m + n*m - 6 = 0. Suppose l = 16 + 14. Calculate the highest common divisor of l and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100130, -97615, -93424, -87557?\nAnswer: -80014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/464 and -89\/10.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 4*x + 1. Let k be r(4). Let t(q) = 62*q - 784. Calculate the remainder when ((53 - k) + 2)*2 is divided by t(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3070235 litres in millilitres?\nAnswer: 307.0235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -47, 0.1 in descending order.\nAnswer: 0.1, -1\/9, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -2\/272457 in increasing order.\nAnswer: -3, -2\/272457, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*j - 0*d + d, 15 = 5*d. Let f(o) = 2*o**3 - 3*o**2 - 2*o + 2. Let k be f(j). Let q be 0 + 1 - (-2 - k). What is q rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -223*q - 2007. Give k(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3967)\/(-2964) - (12 - (-688)\/(-64)) and 65\/342.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q**2 - 3*q + 3*q - 39*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54766 is divided by 383.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -26, 0, 0.05, 9\/4, -2, 1.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - -1833?\nAnswer: 184c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1) - (-15 - 4). Suppose -6*b + 4*b = -3*i + 3, 4*i - h = -2*b. Solve -2*u - i*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -1, 0.4, -0.1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840 - 3\/2*t**3 + 396*t - 81\/2*t**2 = 0.\nAnswer: -35, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2 - 1590688*d + 6362784 = 0.\nAnswer: -795348, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-8))\/((-1)\/2). Let u(x) = x**2 - 3. Let j be u(-2). Suppose a = p + j, 4*a - 43 = -5*p - 3. Solve h + k - p = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**29*a)\/a)\/a*a**(2\/15) assuming a is positive.\nAnswer: a**(422\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-96)\/(-40))\/12)\/((-104)\/2860))\/(2\/12).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-3 - -4) + 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180\/(-8850)*21\/2*(-10)\/(-12)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.59, -1\/3, 51\/7, 42, 0.01 in ascending order.\nAnswer: -0.59, -1\/3, 0.01, 51\/7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123100100 (base 4) to base 6.\nAnswer: -2220452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35935, -35959, -35983, -36007?\n\"Answer: -24*d - 35911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 (base 16) in base 3?\nAnswer: -1012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 57150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56504, -56704, -56902, -57098, -57292?\nAnswer: -57484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339845884?\nAnswer: 2, 7, 23, 41, 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/7)*p*p\/(p\/((p**4\/p)\/p)))\/(p**(1\/3))**(-17) assuming p is positive.\nAnswer: p**(170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23935)\/10 + 2)\/(9\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*2*sqrt(7).\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2436135 (base 7) in base 3?\nAnswer: -120211210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -74. Let j(y) = 40*y**2 + 4*y - 9. Is j(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5431010 + 3?\nAnswer: 5431013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317741573?\nAnswer: 23, 47, 401, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*g + 3*g - 15 = 0, 0 = -4*c - 3*g + 24. Let j be (1 + -3)\/((-2)\/30). What is the greatest common divisor of c and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184.72 - -1.72. Let b = -260 - q. Let g = -76.9715 - b. Round g to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19640*b**3*w**3 - 247*b**3 + b**2*w**2 + 2*b**2*w wrt w?\nAnswer: 117840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-78))\/(7\/21)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2731*k - 1488*k**6 - 2644*k**6 - 96*k**2 - 2 + 2734*k + 433*k**2 wrt k?\nAnswer: -495840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 12756536 = 10*g + 2114675. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-12))\/(2\/(-207)) and 4*(6 + -2*3017\/1232).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1213*t - 7130 + 6739 - 11739 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158400 and 6615600.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2030*j - 16. Let z(c) = c + 2. What is -a(n) - 8*z(n)?\nAnswer: 2022*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 a, and 1 s when four letters picked without replacement from {s: 3, g: 4, j: 3, a: 1, p: 2, l: 4}.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64009\/10*l**2 + 49\/10 + 1771\/5*l = 0 for l.\nAnswer: -7\/253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -389.16 + 352.7. Let s = 34 + n. What is s rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*d = 20, -27 = -4*b + d + 4*d. Let o = -6 + b. Suppose 3*u - 34 = -4*y - 8, -28 = -3*y + o*u. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 42 = -3*a. Suppose -5 - a = -5*s. Let w = -16 - -18. Calculate the smallest common multiple of s and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**2\/2 + 11*i + 2. Let d be w(12). Let v(a) = -a**3 - a - 2. Let n(l) = -l. Let q = -26 - -25. Calculate d*v(m) + q*n(m).\nAnswer: m**3 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2666 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: Three letters picked without replacement from bbz. Give prob of sequence bbz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89473, 90022, 90571, 91120, 91669, 92218?\nAnswer: 92767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*p + (11*p + 5*p - 4*p)*(-1 + 4 - 5))*(-12*p + 11*p - 25*p - 49*p).\nAnswer: 1950*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.2, 1\/18, -327, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4221221, 4221225, 4221229, 4221233?\nAnswer: 4221237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k - 3. Let a(z) = -z**3 - 8*z**2 - z - 1. Let u be a(-8). What is the remainder when g(u) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 13*r**2. Let q(d) be the first derivative of -2*d**2 - 18. What is x(q(m))?\nAnswer: 208*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5071991, -5072040, -5072089, -5072138, -5072187, -5072236?\nAnswer: -5072285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 596.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/7 - (-1582)\/49 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12120062237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.17907 years to centuries.\nAnswer: 0.2617907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9200\/7 + -1313. Sort 5, -3\/5, 8, -0.5, w in descending order.\nAnswer: 8, 5, w, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q + 3. Determine o(-10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/8)\/(c\/(c\/(c*((c*c**(4\/7))\/c)\/c)*c))*c**0\/c**(-11) assuming c is positive.\nAnswer: c**(661\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -21*f + 26*f, -4*f - 5*y + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 1)*(-2 - 1 + 0) + 11 + 2 - 4 + 3 - 6 + 7 - 2 + 2 - 2 + (-1 - 1 + 1)*(2 - 3 + 0))*(-8*l - 6*l + 0*l).\nAnswer: -210*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = -m, -4*l - 3*m + 4 = 7. Let s(j) = l + 0 + 0 - 1574*j + 1566*j. Let f(b) be the second derivative of -b**4\/12 - b. Calculate f(s(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 734761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 11. Suppose 10 = -2*d, 0*d + 3*d - 24585 = -a*o. What is o rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, 0.21, 35 in descending order.\nAnswer: 35, 0.21, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvl when three letters picked without replacement from {b: 1, v: 1, e: 2, k: 1, l: 2, s: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/3 + a**3 - a**2\/2 + 2*a - 28. Let c(m) = 11*m**2 + 17*m - 2. What is 6*c(h) - 17*w(h)?\nAnswer: -2*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11782 at most 11149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000944 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + r)*(-3*r + 3*r + 2*r**3) + ((-3 + r + 3)*(-4*r**2 + 4*r**2 - 2*r**2) - 6*r**3 + 10 - 10)*(-r - 3*r + 2*r).\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-11 - 0 - (197 - 179))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**6\/1260 - o**5\/140 + 16*o**3\/3 + 12. Let d(a) be the third derivative of r(a). Factor d(m).\nAnswer: -2*m*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18163199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 246968092 divided by 5\nAnswer: 246968092\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -3.85, 2\/15, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 15*r - 4*l, 4*r + 3*l = 0. Suppose r = 3*t + 3*i + 6, -t - 2*i + 11 = 12. Put 5, -42, t in descending order.\nAnswer: 5, t, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (375\/750)\/(5\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -381, -1202, -2539, -4374, -6689, -9466?\n\"Answer: 3*s**3 - 276*s**2 - 14*s - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2482963 - 18*s**2 + 2482963 + 1122*s - s + s + 2*s**2 + 0*s + 0*s - s**2 + (-3 + s**2 + 3)*(-2 + 1 - 1) as v*s + p + h*s**2 and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 301124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(25) - sqrt(25)*2) + sqrt(25) + -5*(sqrt(400) - sqrt(25)))*-6)\/((sqrt(35)\/sqrt(28) - sqrt(5)) + (sqrt(5) - 1*5*sqrt(5))).\nAnswer: -40*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 52 - 0. Suppose v - 292 = -3*g, 0*g + 114 = g - 3*v. Let j be (26\/(-6))\/((-3)\/g). What is the highest common factor of a and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -11. What is the least common multiple of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-1))\/(11 - 10). Suppose -g = -34 + t. Suppose g - 5 = i. What is the least common multiple of 18 and i?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(27) + sqrt(675)*-1)*-4)\/((sqrt(1458) + sqrt(1458)*2)\/(1*sqrt(32))).\nAnswer: 320*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501346*t + 24*r + 190 = -501341*t, 4*t - 4*r - 76 = 0 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 4*s. Let a be m(-3). Suppose -13*q + 16*q - a = 0. Suppose 3*f = -q*f + 275. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = k + 6*l - 7*l, 0 = 2*l - 4. Let r = k + 1750\/11. Let o(f) = f - 3. Let q be o(3). Which is the second smallest value? (a) q (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let h(x) = 3*x**2 + 899. Give h(v(p)).\nAnswer: 12*p**2 + 899","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12753.18 months in years?\nAnswer: 1062.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/2 + 309*y**2\/2 + 642*y.\nAnswer: -3*y*(y - 107)*(y + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 6}. Give prob of picking 2 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 19*v**2 - 16*v - 23. Let t be x(18). Suppose 4*k = 25 - t. Solve -3*h + 2*l - 1 - 9 = 0, 10 = k*h + 2*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**44 assuming w is positive.\nAnswer: w**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41128070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let p be x(0). Suppose p = k + k. Which is smaller: k or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 301*l - 1098*l - 608*l.\nAnswer: -1402*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*t + 0)*(-350 + 224 + 208)*(5*t + 18*t - 7*t).\nAnswer: -3936*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + (-3 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -9162283.722?\nAnswer: 9162285.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 16.3. Put -2\/11, u, 2\/11 in ascending order.\nAnswer: -2\/11, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*x + 3*j, 0 = x + x - 5*j - 20. Suppose -2*q + 2*f + 18 = x, -3*f = -0*f + 15. Solve -q*b - 3*k - 8 = k, 0 = -3*k + 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(-1*sqrt(1008) + 3 + ((sqrt(1008) - (1 + sqrt(1008)))*-6)**2)*-2.\nAnswer: -1404 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9170472.5 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((-4 + -2 - (2 - (2 - 0))) + 10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 5*o**2 + 6*o. Let z be r(-6). Suppose 0 = -4*x - x. Let c(b) = -6 - b**2 + 1 + x*b**2. Give c(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/60)\/(5\/(120\/6))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.2809 (c) -155 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + 38?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 - -0.1. Let w = -3.3 + a. Do -5\/2 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 402033138 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + w - 2. Calculate r(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/2*(8397 - -86).\nAnswer: 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 8. Let s(g) = 13*g**2 - 14*g**l + g + g. Give s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkzkkzzkzok. What is prob of picking 2 k?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 h, and 1 i when three letters picked without replacement from yigazyh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/226 and 55\/54.\nAnswer: 6102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72522\/11 + -217027\/33. Factor -192 + 208*v + 1\/3*v**3 - x*v**2.\nAnswer: (v - 24)**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 5, 0.4, -0.1, -1139?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 3 + 9\/3. Is n < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 389*b**4 - 3*b**2 + 2*b + 1865.\nAnswer: 1556*b**3 - 6*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 - 5*l**5 + 2*l**5 + (-4*l**3 + 4*l**3 + l**3)*(l**2 - 3 + 3) + (-1 + 1 + l**5)*(6 - 1 + 0) + 497*l**3 - 46*l**5 - 497*l**3.\nAnswer: -43*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -3*y**4\/4 + 35*y**3 - 48*y**2 - 204*y - 1273. Find i, given that a(i) = 0.\nAnswer: -1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2267\/126 - 237\/14. Find the common denominator of -47\/132 and s.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3115 - 16?\nAnswer: 3088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 - 2*h**2 + 3*h**2 + 5*h**2 + h**2 - 3*h**2 + h - h + h**2 + (-h + h - h**2)*(-2 + 2 - 2).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 999 + -5001\/5. Which is the nearest to 1? (a) w (b) -3 (c) 2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/13 + 28*p**3\/13 - 626*p**2\/13 - 28*p\/13 + 48 = 0.\nAnswer: -26, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -929, -3390, -8263, -16352, -28461?\nAnswer: -45394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 291670754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, g: 1, i: 5, m: 4, h: 1}. Give prob of picking 2 i and 1 z.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60553 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2211*c**2. Let p(f) = f. Give u(p(v)).\nAnswer: -2211*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8100*x + 7861*x + 23422 = 0 for x.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*w**2 + 254*w**2 + 5*w**3 - 3*w**3 - w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 820282.6 years in months?\nAnswer: 9843391.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3434199 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - 33. Let y(q) = -27*q + 3. What is d(y(v))?\nAnswer: -1458*v**2 + 324*v - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(5\/3)*x*x*x**5)**1)**(-32) assuming x is positive.\nAnswer: x**(-832\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10397*d - 171*d**3 - 10*d**3 + 10241*d wrt d.\nAnswer: -1086*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 13*j**2 - 10*j + 5. Calculate the remainder when t(14) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (-2 + -3 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(121) + sqrt(121) - 1*-2*sqrt(121))*-2)\/(-5*(sqrt(275) + (sqrt(275) - (sqrt(275)*1 - sqrt(275)))) - -2*2*sqrt(275)).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -3*o - 153. Solve 2*p + 4*k - o*k = -10, -2*k = 4*p + 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + (2 - -1) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 k, and 1 q when three letters picked without replacement from kkkylylqqyqrrg?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4474, -4418, -4316, -4162, -3950, -3674?\nAnswer: -3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1049*b + 534*b + 517*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 246624 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000374786 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-42)*((-9)\/6 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -155813.525 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 11 (c) 0.15 (d) -77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -456 + 464. Which is the closest to 0? (a) z (b) 3\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(2\/(-8 + 6) - 84843\/(-4285))?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3, -0.28, 1\/19 in ascending order.\nAnswer: -3, -0.28, 1\/19, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*k - 1 - 4 - 2 - 3*k + 2 + (-106*k - 86*k + 172*k)*(0 + 1 + 0))*(-3 + 0 + 2) to c*k + r and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0164451 and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3677947.\nAnswer: 7, 13, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35)\/(-21))\/(-5))\/((-385)\/462).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o + 453 = k, -5*o + 2*k = -444. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c + 2*v - 3, 2*v = 0. Suppose c*w = 2*l + 16, -3*l = -3*w - 7*l + 4. What is the derivative of -69*x**4 - 62*x**w + 160*x**4 - 39 wrt x?\nAnswer: 116*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43.055 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907080927.\nAnswer: 3, 59, 307, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 10*i**2 - 2*i - 4. Let f be k(-8). Let z = f + -145. Sort z, 5, -15.\nAnswer: -15, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.51 + -0.44. Let k = 2.04 - t. Which is the second biggest value? (a) 0 (b) 5 (c) -4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35241 less than 970.5738?\nAnswer: -34270.4262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-6 - -5) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/75 and 62\/25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 41 = -17*u. Let g(c) be the first derivative of 0*c + 3*c**u + 3\/4*c**4 - 3*c**3 - 2. Factor g(k).\nAnswer: 3*k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n - 4. Suppose -522 = -n*q - 148. Suppose -108 - q = -5*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12195*p**3 - 18170*p**3 - 6481*p**3.\nAnswer: -36846*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298826053 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1188)\/sqrt(3))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2072136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + ((-700)\/77)\/(-5). Which is the smallest value? (a) 68 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5*b - 1 - 15 = 2*i, -3204*i - 11*b = -3204*i - 11 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 47848\/(-1680) - 5*(-4)\/(-60). Let b = 2\/1637 - 39358\/57295. Let x = s + b. What is the common denominator of x and 3\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 7*d - 4. Let h be l(-5). Let s be 6\/5*20\/h. Let x = 0 + s. Let j(b) = b**2 - 5*b + 2. Give j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123805426.\nAnswer: 2, 47, 1317079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 0.0478?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 22\/6)\/((-93)\/279).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (-6 + 2 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 64. Let l = -14 + p. Solve 0*t - 7 = -2*t - 3*o, -t = l*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56094 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -635 (base 10) in base 11?\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-9))\/((-4)\/6). What is the nearest to w in 0.5, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2*q**2 - 5*q**3 + 4*q**3 + 2*q)*(3*q**2 + 8 - 8).\nAnswer: -3*q**5 - 6*q**4 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(5\/3)*3. Let v be (13 + -4)*(-3)\/n. Suppose 3*h + 6 = v*r, 3*r - 11 = 4*h - 1. Which is the biggest value? (a) h (b) -0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 + 539?\nAnswer: 55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 0 + w - 3 + 1. Let a(r) = -r**2 + 9*r - 1. Let h be a(5). Suppose 0 = f - 3*c - 0*c + 17, 0 = -2*f + 3*c - h. Calculate s(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*v - 180*v + 857*v in the form q + i*v and give i.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22121011012 (base 3) to base 10\nAnswer: -169241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**5\/60 + n**4\/6 - 5*n**3\/6 - 20*n**2. Is 19 a factor of c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 321*n**2 + 5*n - 55. Is r(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 52345?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 2 + 0*l**2 + 0*l - 2\/3*l**3. Let f(p) be the first derivative of 5*p**2\/2 - 1. Determine f(u(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 93, 188, 333, 546?\n\"Answer: 3*j**3 - 2*j**2 + 48*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703 a factor of 1725901646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13430*s**2 + 4678*s**2 - 36759*s**2 - 18177*s**2.\nAnswer: -63688*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 4*k**3 + 3*k**2 + 4*k - 4.\nAnswer: (k - 2)**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/42 - (1 + (-15)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*a + 12, -3*o - a + 9 = -2*o. Calculate the greatest common factor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 2*f)*(2*f - f - 2*f) + f - f - 2*f**2 - 33*f**2 + 13*f**2 - 9*f**2 + 0*f**2 - 2*f**2 + 6*f**2.\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**2 + 24*f - 78*f + f**3 + 5 + 26*f + 27*f to the form h*f**3 + q*f**2 + p + d*f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*x - 6 + 2 = 0, -x = 3*k + 7. Suppose -3*n - 16 = 5*a - 2*n, 4*a + 3*n + 4 = 0. Sort k, 3, a in ascending order.\nAnswer: a, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 634937*u**4 - 8*u**2 - 2*u - 5376798?\nAnswer: 7619244*u**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1198382*a*v**4 + 21*a*v**3 + 2639*a*v + 11143*v - 1 wrt v?\nAnswer: 14380584*a*v**2 + 126*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069272 rounded to four dps?\nAnswer: 0.0693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*v = 0, -6*v = -11*v. Suppose -3*q - 10 = -8*q. Factor -l**3 + 0 + 1\/2*l**q + 1\/2*l**4 + b*l.\nAnswer: l**2*(l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48677?\nAnswer: 48677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Let b(x) = -t - 2*x - 1 + 4*x. Suppose 0 = 6*i + 2*a - 20, -5*i - 25*a + 26*a = -30. Give b(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -23. Let s be (-1 - -2) + 4 + n. What is the greatest common factor of 120 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = -15. Let z be 10*3\/18 + r\/6. Solve 8*u = z*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-30))\/(2\/(-20)). Suppose z = 5*x - x. Solve -4*l = 10 + x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 - 118. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1497\/149 and -28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 - -2) + (1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135362079 to the nearest integer?\nAnswer: 11635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -377, -390, -405, -422, -441?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(3 + -6) - -3. Suppose l = 7*r - 2*r - 10. Suppose y - 4*i = 0, -3*y - 2*y + 4*i + 16 = 0. Solve p - 5*s = 24, -2*p - y*s - 24 = r*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -872\/31 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -345, -352, -261, -84?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -308450\/119 + 2592. Which is bigger: c or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:53 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - u + 3, -2*j + 3*u - 12 = -3. Let b = j + 3. Suppose 20 = -b*f + 7*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1154, -9278, -31330, -74276, -145082, -250714?\nAnswer: -398138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 373, 559, 745, 931, 1117?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 16010606?\nAnswer: -16010575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37224 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -0.3, 0.0531, 0.002?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/((o\/o**(-8))\/o)*o**(-5)*o*o**8)\/((o**(-1\/2)\/(o**(-3)\/o*o))\/((o*o*o**7)\/(o\/(o*o**(3\/5)*o)))) assuming o is positive.\nAnswer: o**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/66 and 75\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 630984.8 kilometers to millimeters.\nAnswer: 630984800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let h(a) = -a**2 - 85*a + 5. What is h(v(c))?\nAnswer: -c**2 + 85*c + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74473, 74471, 74469, 74467, 74465?\nAnswer: 74463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65435*p**3 - p**2 - 53951*p wrt p?\nAnswer: 392610*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/24*-12 - 2. Which is the nearest to 118? (a) o (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*w - 44 + 44. Suppose -3*k = 8 + 7, 5*v - 4*k + 3049980 = w. Round v to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -5*q**4\/12 + 15*q - 3. Let v(y) = 45*y**2. Give v(m(f)).\nAnswer: 1125*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -14 - 44. Suppose 2 = -d*k + 27*k. Let x(o) = 573*o**2 - 2*o - 2. Is x(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4780959 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16760 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 4, w: 4, k: 5, v: 1}. What is prob of sequence qvkk?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-21)*p*p**(-9)*p*p*(p**12)**(-8) assuming p is positive.\nAnswer: p**(-123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(6 - 4 - 7)*(-2*t**3 - 1 + 1) + (0*t**2 + 0*t**2 - 6*t**2)*(-106*t - 28*t - 35*t).\nAnswer: 994*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1311*h**2 + 2339*h**2 - 1297*h**2 + 13)*(-4 + 0 + 3).\nAnswer: 269*h**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from whha?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -299597?\nAnswer: -13\/299597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -177865, -176146, -174427, -172708, -170989?\n\"Answer: 1719*x - 179584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + 1481364?\nAnswer: 1481375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168831 and 837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*i**2 - 88*i**2 + 2*i - 185*i**3 + 42*i**2 to n*i**2 + w*i + x + m*i**3 and give m.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 - 6 - 3*j**4 + j**3 - j + 4 to c*j**3 + o*j**2 + p + b*j**4 + s*j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135*p**4 + 2*p**2 - 163*p wrt p?\nAnswer: -1620*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 13 + o**2 - 15 + 0*o. Let a be x(4). Solve -a*n = 2*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 29, 22, 13, 2, -11?\n\"Answer: -k**2 - 2*k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**3 + 8*n**2 + 2*n + 14. Let k(f) = 16*f**3 + 16*f**2 + 4*f + 30. Calculate -3*k(l) + 7*x(l).\nAnswer: l**3 + 8*l**2 + 2*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 6. Let v(s) = 1 + 4 + s - 2 + 8. Let o(p) = -p**3 + 7*p**2 - p + 2. Let t = -103 - -110. Let m be o(t). What is m*w(x) - 3*v(x)?\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = -5*b, -2*v - v = -5*b + 4. Let u(a) = 12 + v - 18*a**2 - 14. Let m(l) = -4*l**2 + l**2 + 4*l**2 - 3*l**2. Calculate m(u(c)).\nAnswer: -648*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 205*y - 2. Let b(s) = -309*s + 3. What is 5*b(l) + 8*j(l)?\nAnswer: 95*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from qpqpkph?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31422*i**3 - 29*i**2 + 494 wrt i?\nAnswer: 188532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 - -33. What is the highest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - a - a - 53, h - 4*a = 1. Find the first derivative of -1 + 10*s - 3*s - h*s**2 - 7*s wrt s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -600*(6\/(-10) + 1). Let u = g + 4321\/18. What is the common denominator of u and 149\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367107 is divided by 596?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 1026*h - 13 + 13.\nAnswer: 4*h**2 - 1026*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 3*u + u**2 - 2 + 6 + u**3 + 0*u**3. Suppose 4*o - 36 - 12 = 0. Suppose -v - o = 3*v. Give m(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 1 + 6. Suppose 2*x + 2 = 2*z, -o*z - 2*x = -6*z. Suppose c = -4*k + 48, 4*k = z*k + c + 30. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185647369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**4 - 2*z**3 - 405*z**2 - 37*z + 111. Let l(h) = 10*h**2 - h. Let b(x) = -d(x) - 3*l(x). Find the second derivative of b(g) wrt g.\nAnswer: -36*g**2 + 12*g + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 430144823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.136 - 4.864. Let f be 28\/(-7) + 0 + (-17)\/(-4). What is the closest to f in m, 0.9, -5\/6?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*r - 42767 + 46940 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 25*q**3 + 0*q - 7*q**3 - 31 + 34 + 9*q**3. Let c(r) = -70*r**3 - 8*r + 8. What is 3*c(p) - 8*l(p)?\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Let f = 820 + -215659\/263. Let i = f - 793\/1052. What is the nearest to 2\/3 in 0.4, i, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8416? (a) -5 (b) -13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2. Let c(o) be the second derivative of 0*o**2 + 0 - 10*o + 19\/6*o**3. Calculate c(q(v)).\nAnswer: -133*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -35.88. Let q = y - -5.11. Round q to one decimal place.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9563 divided by 4529\nAnswer: 9563\/4529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3245666 or -6491331\/2?\nAnswer: -3245666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 18, c: 1}. What is prob of sequence cw?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 53\/217048, -2\/11, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9150734155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (5 - 4))\/((-10)\/(-510)). Sort b, -4, 5, 3.\nAnswer: b, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**5 + 5*d**4\/2 + 5*d**3 - 20*d**2 + 20*d + 150. Let w(s) = 0. Calculate s.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109479.\nAnswer: 3, 36493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.29 in 36, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331084.\nAnswer: 2, 13, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/78*(42\/35)\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11420 - 13?\nAnswer: -11433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14403?\nAnswer: 3, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -594166, -594131, -594088, -594037, -593978, -593911?\nAnswer: -593836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8309446 - 8309446 - 8*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277449 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11 + 3*a + a - 2*a - 4. Let o be d(8). What is the third biggest value in 0.04, o, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/3*8*(516\/4816)\/(2\/96).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 114, -4920 in decreasing order.\nAnswer: 114, 4, -4920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 110?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -13 - -5)*82. Calculate the highest common factor of 48 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86597731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 1\/120*t**5 + 0*t - 1\/420*t**7 - 1\/72*t**4 + 0*t**3 + 0 + 1\/720*t**6 - 177*t**2 + 1\/2016*t**8. Factor z(b).\nAnswer: b*(b - 2)*(b - 1)**2*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = 9. Let u be 0\/(((-6)\/1)\/o). Let b be u*(-3)\/(-9) + 5. Solve -11 = b*r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-20))\/(-7)*-3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2366.9 + -2367. What is the closest to 0.2 in 3\/11, j, 4, -1\/3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 13*j**2 - j - 11. Let b be i(-13). What is the third derivative of -18*x**b - 117*x + 58*x + 16*x**4 + 59*x wrt x?\nAnswer: 384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-55)*(5 + -60)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.0623\nAnswer: 0.1869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(11\/3)\/u)\/u)**(-22)\/((u\/(u\/u**(-1\/27)))\/(u\/(u\/(u**(-8)*u)))))**(-2\/67) assuming u is positive.\nAnswer: u**(3544\/1809)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/10, -4\/7, 2\/319, -3\/2, -5\/2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 2\/5, -1, -0.5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 + 0.18. Let k = o - -13.8. Let t = k + -11.99999888. Round t to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (26 + 1*(-14 - -1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345315?\nAnswer: 5, 269063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 358.9 - 482. Let f = -123 - x. What is the nearest to f in 1, -8, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*((-96)\/(-8))\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 176*g**2. Let p(n) = 172*n + 1. Give p(j(l)).\nAnswer: 30272*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/13)\/((o*o**(-36)\/o)\/o) assuming o is positive.\nAnswer: o**(478\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 12:18 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((336\/(-162))\/14)\/(4\/6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, h: 3, s: 2}. What is prob of picking 2 g and 2 h?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*o + 3)*((-2*o + 2*o - 2*o)*(4 - 6 + 0) - 2*o + 3*o + 0*o + 2*o + 0*o - 3*o).\nAnswer: -8*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3747 - 0.6253. Let j = -0.2 + -0.8. Which is the nearest to 0.1? (a) -9 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 6 - 9\/4*m**4 + 0*m**3 + 0*m - 9\/2*m**2. Find the second derivative of w(l) wrt l.\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109.08 nanometers in micrometers?\nAnswer: 2.10908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326706, 1306817, 2940336, 5227263?\nAnswer: 8167598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 2.628 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 19*i + 49. Let p be (3 - 13\/3)*3. What is r(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364, 1, -4, 4 in descending order.\nAnswer: 364, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7621, -57845, -194123, -459481, -896945, -1549541?\n\"Answer: -7171*i**3 - i**2 - 24*i - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:21 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5022 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 6:42 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -7 (b) 0.4 (c) -2\/135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 147\/(56\/(-8)) - 20000\/(-960)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.09534 litres?\nAnswer: 22095.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7 + 9 + 2*j**2 - j**2 + 9*j. Let f be p(-9). Let y be ((-6)\/(-21) - 0)*7. Solve 0 = y*s + 8, 2*n - f*s - 5 = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -21 + 70. Which is the closest to 2\/7? (a) 2 (b) -4\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*c + 4*o, 5*c + 4*o = 10*c - 28. Sort c, -1, 6, 3 in descending order.\nAnswer: c, 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.3 (c) -2\/5 (d) 2\/3 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/5 - 356*b**2\/5 - 4592*b\/5 = 0?\nAnswer: -164, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 4:54 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3000301 - -3424?\nAnswer: -2552433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(2 + -5 + -12). Let k = 71 + y. Let m = -6 + 5.8. Which is the closest to m? (a) k (b) -3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*3 - ((-2 - 1) + 5). Let d = 1.4 - 2. Sort d, t, -1\/4.\nAnswer: t, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3995 + -4063. Is -78 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-6)*897\/(-33189).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 788 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 10926?\nAnswer: 43704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191252 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + (-9)\/(-15))*(1 - 11). What is the greatest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 19*s - 16 = -172 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72369.862052 - 3.4.\nAnswer: 72366.462052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 45 = -5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 10*d**2 + 13*d - 32. Let j be u(9). Suppose 0 = 3*l - 15, -31 = -5*a + j*a - 2*l. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2241 = -235*r - 943 + 834 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(72)\/sqrt(9))**2 + -2)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8870\/4 - (38\/20 - (-9)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -3804668\nAnswer: 3804668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00123074318 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwmmmmmwmmwmmmwmmm. What is prob of sequence ww?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 28 - 26. Determine q so that 2\/15*q**v - 4\/15*q + 2\/15 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149990902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -76, 2266, -4.1?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 148 + 330. Let d = 284 - l. Calculate the greatest common factor of 315 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 182. Determine h(21).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -41*c + 41. Let p(s) = s**3 + s - 1. Determine -41*p(i) - v(i).\nAnswer: -41*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -13383154 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwcfwgfy. What is prob of picking 2 g and 2 w?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) -1\/25 (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2643*b - 83202 = 6660 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -13*m**2 - 11*m - 15. Let f(s) = 28*s**2 + 22*s + 31. Let u(w) = -6*f(w) - 13*t(w). Let q(y) = -y**2 - 6*y - 5. What is -5*q(n) - 3*u(n)?\nAnswer: 2*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - 18*t = -10*t - 901232. List the prime factors of t.\nAnswer: 2, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23615344 + -32?\nAnswer: -23615376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 0*w**3 + 0*w**3 + (-7*w**4 + 2*w**4 + 3*w**4)*(-2*w + w - w) + (685 - 685 + 81*w**5)*(0 + 0 + 1).\nAnswer: 87*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3945.441 centuries?\nAnswer: 394544.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b = -29*b + 15*x - 238, 2*b - 52 = -3*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/25 and -73\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 0.2 (c) 0 (d) -4.1 (e) 23292\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19176?\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1728*y**2 + 5 - 5 - 11971*y**2.\nAnswer: -13699*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -621 + 1868\/3. What is the nearest to -1 in -3, l, -64\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -178250 or -178256?\nAnswer: -178250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnpononookokkpoooooo. What is prob of sequence ko?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(24\/(-4)))\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 46. Let t(p) = -13*p + m - 22*p + 32*p. Determine t(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1253*l**2*s**4 - l**2 + 113 wrt s?\nAnswer: 5012*l**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 685 divide 164011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 4*u, u + 7 = 4*b. Suppose b*f = -2 + 10. Suppose -3*p + 108 = p. Solve -f*d + 7 = p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -8. Let p = 28 + q. 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: Solve -z + 3*x = -10, -5*z + 2*x + 4 = -7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0, 78, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110 (base 2) in base 15?\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548041 - 19*h**2 + 548041.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 650 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(91\/26)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030318 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418168 is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*t + 249*t = 0. Let n(o) be the first derivative of 1\/18*o**4 + 0*o**2 + 3 + 0*o**3 + t*o**5 - 1\/27*o**6 + 0*o. Solve n(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/12 and -51\/70477432.\nAnswer: 211432296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/7323 and -109\/202320?\nAnswer: 493863120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h*(h\/(h\/h**(-2\/7)))\/h*h)**12\/((h**(-2)\/h)**(-22)\/(((h**7*h)\/h)\/h**(2\/9))) assuming h is positive.\nAnswer: h**(-2435\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56802056.\nAnswer: 2, 41, 173177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3051 a factor of 14513607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/((-6)\/(-12)). Suppose -o = r*g - 6, 5*g = -o + 2*o - 38. Suppose -3*w + o = -0*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3\/3 - 263374*p**2\/3 + 263368*p\/3 + 526744\/3 = 0.\nAnswer: -1, 2, 131686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*z = 164*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33 - 1463\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -2 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.6 - -6.85. Let f = j + -8.25. Is f less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/3))**(2\/29)\/(g*g\/(g*g*g*g**(-1\/4)))**(6\/17))**(3\/10))**(-1\/6) assuming g is positive.\nAnswer: g**(-647\/59160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1676 and 125281?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 d, 1 t, and 1 o when four letters picked without replacement from {n: 1, o: 1, d: 1, t: 1, r: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 4:07 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 127, 243, 403, 607?\nAnswer: 855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 3*g + 87 - 8*g - 2*g.\nAnswer: -13*g + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -89. Suppose 4*k + 17 = t. Suppose 5*j + k*v = 7, -5*j - v = -6*v - 35. Solve -12 = h + j*h - 5*c, 3*h + 6 = 3*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5668 and -13.\nAnswer: 73684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56639*k**2 + k + 655332 wrt k?\nAnswer: 113278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + j - 18, -15 = -v + j - 3*j. Let d(l) = -3*l - 9. Suppose 0 = -4*u - 0*u - 24. What is the remainder when d(u) is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i. Let r(o) be the first derivative of -5*o**2\/2 + 6. Give g(r(w)).\nAnswer: 45*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 6*p. Let t(f) be the third derivative of 7*f**5\/12 - 3*f**2 + 25*f - 3. Determine h(t(r)).\nAnswer: 1225*r**4 + 210*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 6*s**5\/5 - s**4\/2 - 167*s**3\/3 + 6. What is the third derivative of p(j) wrt j?\nAnswer: 144*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/14576 and 27\/8?\nAnswer: 14576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*i + 5*i + 2, 2 = i. Suppose 6 = 5*r - 4*b, n*b + 2*b = 3*r - 2. Factor -12*s**5 - 39*s**4 - 8*s**2 - 3*s - 8*s**2 - s**r - 45*s**3 - 4*s**2.\nAnswer: -3*s*(s + 1)**3*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/8 - -1)*192\/(-48). Let h(a) = -10*a. Let w be h(-1). Solve v = x*v + w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(180) - (-3*sqrt(180) - sqrt(180)))\/(-3*sqrt(360) + sqrt(10)).\nAnswer: -5 - 15*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 2*z - 9 - 7, -2*z - 3*m + 1 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*x - 83*x + 8*x)*(4*x + 3*x - 6*x).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*x = -16, 25 = k - 6*k + 2*x. Sort k, 5, -6.\nAnswer: -6, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 10. Suppose m*h + 14 + 4 = -2*d, -4*d = -20. What is the common denominator of 81\/4 and h\/49 - 528\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 21.21. Let o = u - 0.01. Let s = 0.7 + o. What is the second smallest value in 2, -2\/19, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d**2 + 0*d**2 + 4*d**2)*(-1 - 3*d + 1 + (-3*d - d + 2*d)*(0 + 0 + 1) - 2*d + 1 - 1 + (-1 + 1 - d)*(0 + 0 + 1)) + (-1 + 1 + d)*(-2*d + d**2 + 2*d).\nAnswer: 65*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10344332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 17*a + 74. Determine t(-14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 169804721*y + 96188894 wrt y?\nAnswer: 169804721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -57) + (-1 - (17 - (4 + 9)) - 0)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61\/4 of a meter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, 350, 2.\nAnswer: -5, 2, 4, 5, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2 (c) -3\/2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303652834.3 rounded to the nearest ten thousand?\nAnswer: -1303650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -336 * -0.5\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/1799323 + -505610483\/1295512560. Let s be 6\/3 - 374\/180. Let a = l - s. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56809265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/(6\/(-63)). Let i = 12 + l. Suppose -116 = -4*m - 2*d + 4*d, i*d = -m + 51. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.70404 rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/3)*s)\/(s*s\/(s*s*s**(-1\/5))*s))**(-40) assuming s is positive.\nAnswer: s**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(((-10)\/(-56))\/(60\/12)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*m**4 - 111*g**3*m + 560*g*m**3 - 59*m wrt m?\nAnswer: 12*g**3*m**2 + 3360*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 55*i**3\/3 + 11111*i**2 - 100869*i - 5535 = 0.\nAnswer: -615, -3\/55, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -3, 0, 2, 5 in descending order.\nAnswer: 5, 2, 0, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 24 + 15 - 529*m + 531*m - 18.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*i = -9, 0 = -0*j + 3*j - 2*i + 13. Is (-3 + (3 - 3))\/(j\/911) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/25)\/(3\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 - 79576*k**2 + 8611704*k - 232673472 = 0. What is k?\nAnswer: -39896, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 15, -53 = -2*k - 0*w + 3*w. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55 and 7.23889?\nAnswer: 398.13895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f + 6 = 0. Suppose -6 = v - 3*v. Suppose -r - r = v*k - 14, -4*r - k = -8. Which is greater: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Suppose -i*h + 5*h = 2*u + 2, 3*h = -u + 8. Find the third derivative of -4*y**2 - 3*y**2 + 5*y**5 - 2*y**5 + 6*y**u wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4656524 (base 8) to base 14.\nAnswer: 2506c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*a - a**2 - 407*a - 2 + 0 + 0*a**2 - 5*a**3 as o*a + t*a**3 + g + x*a**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/11 (b) -5 (c) 0.1 (d) -118 (e) 185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 144238.18 and -1.5.\nAnswer: 144236.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201444089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158653 = 7*i - 120528. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 32. Suppose f*d + 4 = 126. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143397 or -142971?\nAnswer: -143397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05041 and 0.15.\nAnswer: 0.20041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14214 and 12?\nAnswer: 28428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15615 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/6)\/((-12)\/48). Suppose 4*y = -5*i - 33, 2*y = -3*i - 313 + 292. Which is the third smallest value? (a) o (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 1 + 0*m + 0*m. Let r(k) = k**3 + 11*k**2 + k + 10. Let q be r(-11). Determine j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 83, 79, 73, 65, 55, 43?\n\"Answer: -n**2 - n + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7227*k**4 + 1102 wrt k?\nAnswer: -28908*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/9 - 134*p**4\/9 + 3086*p**3\/9 - 2938*p**2 + 3168*p + 46464 = 0 for p.\nAnswer: -3, 11, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228*h**4*y**3 + 149*h**3*y**3 + 1590*y**3 - 2*y**2 wrt h.\nAnswer: -912*h**3*y**3 + 447*h**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000163151 rounded to 6 decimal places?\nAnswer: -0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u = 24*u + 371. Calculate the greatest common divisor of u and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2327 and 229456162.\nAnswer: 2327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 367332149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -l + 124710, -192922 - 56510 = -2*b + 4*l. Suppose 57 + 63 = 20*j. Suppose b = j*h + 28712. What is h rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 6*m. Let w(z) = 3*z**3 - z**2 + 17*z + 1. Let y(j) = 3*w(j) - 8*x(j). Determine y(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k - 27. What is i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*p - 296, 4*p + 5*i = 5*p - 126. What are the prime factors of p?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - (7 + -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70\/389 + 37795\/4668. What is the common denominator of -19\/16 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*a - 2538 + 5097 - 119*a - 704*a - 2559.\nAnswer: -652*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*k, 2*o + 9 = k - 0. Suppose -m - k*m = -4. Let x be 50\/4 + m\/2. What is the greatest common divisor of x and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39644466 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1\/2)\/(-17 + 16). Put 0.2, -3\/7, h, 1.6 in descending order.\nAnswer: 1.6, h, 0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-10))**(-1\/8) assuming n is positive.\nAnswer: n**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11308 - 67847\/6. What is the closest to 2 in y, -10, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2147\/5 (b) 0.04 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 - 0) + -1)\/2. Suppose 0 = -3*d + 6, j*s + 4 = 2*s + 2*d. Put 2, -1, s in ascending order.\nAnswer: -1, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243693006 a multiple of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 2*b - 2. Let t(s) = -4*s**2 + 4*s + 4. Determine 7*d(j) + 4*t(j).\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5094\/75 - (208 + -173 + (-877)\/25)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29762 is divided by 2701?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*i - 14 - i**2 - 22*i + 11 - 50*i + i**3 + 2*i**3 in the form a*i**2 + p*i + r*i**3 + h and give p.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3403.08 + -3403. What is the second smallest value in 40\/3, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 787 - 787.07. Which is the nearest to 0.1? (a) -2\/15 (b) 5 (c) f (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bllk when four letters picked without replacement from {l: 5, s: 1, k: 3, o: 3, y: 6, b: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l + 11. Let s(u) = -5*u - 10. Let r(k) = -4*j(k) - 5*s(k). Calculate the smallest common multiple of r(8) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -357 and -11\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 126623404?\nAnswer: -126623404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/885000 and 61\/1560.\nAnswer: 11505000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111098 is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, p: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2537086 and 133\/7611258.\nAnswer: 7611258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474775467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 4*p**2 + 2*p - 6. List the prime factors of j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*p = -93*p + 90. Let x be ((-6)\/p)\/(56\/30 - 2). Is -2\/27 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*g - 228*g = -108*g - 150. Calculate the remainder when 494 is divided by g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -456*y. Let r(z) = -459762*z + 2. Determine r(m(j)).\nAnswer: 209651472*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6763 + 126?\nAnswer: 7000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, 2\/13, -3\/2, 2, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27957148 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 15*y**2 + 1588*y + 231. Give g(-48).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = 0. Are f and 14\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 47*a**4\/4 - 113*a**3 + 364. What is the third derivative of z(o) wrt o?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*i - 23 + 23 - 47*i + 49*i + 49*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2. Let y(f) = f - 16. Let p(w) = -24*m(w) - 3*y(w). Let x(c) = -73*c**2 + 3. Determine x(p(a)).\nAnswer: -657*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 305449457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 82*p + 89*p + 85*p - 258*p. Let h(w) = 84*w. Give h(o(x)).\nAnswer: -168*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -12*a - 6. Let q be w(-2). Let r = -7 + q. Solve 4*m - 4*z = -14 + 2, 3*z - r = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/7 + 928742*f\/7 + 215640425641\/7 = 0 for f.\nAnswer: -464371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.385 and -0.0708.\nAnswer: 0.027258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**(-4\/7)))\/k)\/k)\/((k\/((k\/k**(-16\/5)*k)\/k))\/k*k))\/(k**(-1\/7)\/((k*k**(-10))\/k)) assuming k is positive.\nAnswer: k**(-283\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 27*o + 18. Let h be i(-14). Let s = 70 + -131\/2. Is s smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279 + 281. Let y(w) = w**2 - 6*w + 5. Let i be y(4). Let s be 1\/i + (-34)\/(-66). What is the second biggest value in m, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 9894585.2.\nAnswer: 9894585.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**5 + 6*b**5 - 2*b**5)*(0 + 6 + 1).\nAnswer: 21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*2*2)\/(sqrt(96)\/sqrt(4) + sqrt(6))*-1)**2 - ((6*-2*sqrt(187))\/(4*sqrt(99)))**2.\nAnswer: 119\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j + 80. Let a be h(-13). Solve 12 = 2*w - 4*v, -a*v - 2 = -6*w + 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/45090 and 145\/18036.\nAnswer: 90180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {w: 11, d: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 26*c**2 + 26*c - 7. Let x be y(25). Suppose -x*p + 35 = -289. What is the least common multiple of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*h + 25, 10 = -4*n + 2*h - 0*h. Do n and -4\/33 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 591533, 2368320, 5329631, 9475466, 14805825?\nAnswer: 21320708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3.28, -0.2, 0.02?\nAnswer: -3.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3.6. Let d = -380 + 337.3. Let v = -43 - d. What is the nearest to -9 in y, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55 + -213733?\nAnswer: -213667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1103*c**2 - 60*c + 14. Let j(l) = 368*l**2 - 18*l + 4. Determine 7*j(o) - 2*z(o).\nAnswer: 370*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/22 and ((-237)\/(-66))\/(2 - 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-12)*((-10)\/7)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2431 + -1?\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1617 - 1093. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.11 or 0.0545?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*j**3 + 5140*j**2 - 42145*j - 3150 = 0.\nAnswer: -45, -2\/27, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35467061.\nAnswer: 7, 5066723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 17.7. What is the closest to y in 3, -0.5, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2276 + 3127. Is i a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48992 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17960*y - 18015*y + 110 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -15. Let z = -8 + 7.8. Which is smaller: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 11*j**2 - 14*j - 10. Let x be l(-10). What is the third derivative of 30*a**5 + 175*a**2 + x*a**5 - 101*a**2 wrt a?\nAnswer: 3600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-2)*1140\/399?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1848, -3, 3, 128.\nAnswer: -1848, -3, 3, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 6*f**2 + 11*f - 5. Let c be r(7). Let v = 31 + -31. Solve 2*y = 4*z + z - c, v = 4*z - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*h = 52*h + 6190. Suppose -4*g = -631 + h. Solve -y = -2*y - 5*o, -4*y = g*o + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9530371ns in microseconds?\nAnswer: 0.0009530371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7332 is divided by 3665.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 9 = -22*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 s, and 1 r when three letters picked without replacement from czysr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16768164225 + 16861323816.73. Let x = 93160428.7300837 - z. Let l = -837 + x. Round l to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247140 a multiple of 1460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**5\/90 + 5*k**4\/27 - 17*k**3\/27 + 8*k**2\/9 - 24*k - 5. Find s such that r(s) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 + l**2 - 20. Let s be (-31 - -31)\/(3 + -1). Determine q(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211020 + 10102021?\nAnswer: 11020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*(1 - -2 - (-33)\/(-9)). Let x be -1 - (-8)\/(-20)*(-5 + 0). Suppose i = -l + 2*i + v, -i = x. Sort 2, -4, l, 3 in decreasing order.\nAnswer: l, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -12. Calculate the lowest common multiple of (-9)\/(-42) + (-6000)\/(-3360) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**3 + 6*u**3 - 2*u**3 - 10)*(-4*u + 4*u - 2*u)*(3*u - 6*u + 4*u)*(0 + 0 + 1).\nAnswer: 4*u**5 + 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 18 + 7 + 13823*b - 13901*b.\nAnswer: -78*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(7))**2*-1 + sqrt(7) - (sqrt(14)\/sqrt(2) + 1)) - (3 + ((1*sqrt(567))**2*1 - sqrt(567))).\nAnswer: -586 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/140 - (-4971)\/10. Let g = c - 267. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbwlblw.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 7*f + 8. Let s = -5 - 1. What is the units digit of c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -4 (b) 1\/3 (c) 0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 10420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(3\/4))\/r**(-14))**(-37))**13 assuming r is positive.\nAnswer: r**(-30303\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10800)\/(-760))\/(-45))\/(8\/(-38))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193 - 207. What is the remainder when (-3378)\/(-21) - (12\/t)\/6 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2 + 6*j - 6. Let b(r) = r**2 - r + 1. Let n(l) = -6*b(l) - x(l). Let u(m) = -7*m. What is n(u(v))?\nAnswer: 49*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 86*a**2\/5 - 107*a + 1422\/5.\nAnswer: -(a - 2)*(a + 9)*(a + 79)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (35\/4935)\/((1\/(-24))\/((-15)\/(-20)))\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002506951 rounded to seven decimal places?\nAnswer: -0.0002507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (1 - -4) + 5. Let x(l) = 21*l - 14. Let d be x(s). Let p = d + -48. What is the greatest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6764308584?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4077*o - 4065*o = -168 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 55*x + 557. Calculate y(42).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/330 - a**4\/44 + 4*a**3\/33 + 7*a**2 - a. Let w(j) be the first derivative of q(j). Factor w(x).\nAnswer: -2*(x - 1)*(x + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 11:21 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/6718 and 79\/12418.\nAnswer: 41712062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1694 + 1697. Solve -34 = -14*w - g*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -7. Let g be ((-9)\/6)\/(o\/8). Let d(x) = -x**3 + 7*x**2 - 7*x + 8. Let b be d(g). Solve -b = 5*u - 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712 + 1703*i + 193 - 905.\nAnswer: 1703*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + -0.37. Let r = 0.2 + q. Let f = 0 - -1. What is the closest to f in 5, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1251*q**3 - 1088*q**3 + 2214*q**3 + 987*q**3.\nAnswer: 3364*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6189 to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48868908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38249.\nAnswer: 23, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-2\/9)\/o))**16\/((o*o**(-2)\/o)\/o)**(-9\/7))**31 assuming o is positive.\nAnswer: o**(61907\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 504 - -13350?\nAnswer: 14254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 = 313*q - 1247 - 4041 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 1:04 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 5. Let w be p(6). Let u = w + -13. Let v = 6 + u. What is the third smallest value in v, 1, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -22.2. Let r = 5.94 - -0.06. Let j = b + r. What is the second biggest value in -2\/9, -0.4, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -188*(0 - (-2)\/(-4)) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70493995 a multiple of 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 5, 1 in increasing order.\nAnswer: -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 203983545*v + 166221313 wrt v?\nAnswer: 203983545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -954 + 87*p + 956 + 2*p**4 + 41*p - 5*p**4 + 0*p**4 + 4*p**4 + (0 + 4 - 5)*(-2*p**4 + 1 - 1).\nAnswer: 3*p**4 + 128*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/32 and -53\/28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sjsjsss.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 5:17 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8139 + -8142. Which is the second smallest value? (a) 5 (b) 0 (c) -1\/3 (d) 0.09 (e) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2 - 5*k - 6. Let m(a) = -7*a**2 + 5*a + 5. Let s(w) = 3*m(w) + 2*t(w). Let o(l) = -4*l**2 + 3*l + 2. Give -10*o(q) + 6*s(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16190 = 4*b - 14481 - 7309. What are the prime factors of b?\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) 3\/8 (b) -2\/5 (c) 3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 4186*q + 1927506. Determine m(1409).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3454 and 1407034.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-26.5\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.8165238 to 3 decimal places.\nAnswer: 16.817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 228480 divided by 6528\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Suppose 3*d + 101 = -3*w + 485, 509 = 4*w + o*d. Suppose -v - z + w = 22, -93 = -v + z. Calculate the highest common factor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + (-8 - 9\/((-18)\/4)). Let c be 6\/(-2)*(-6)\/30. What is the biggest value in s, 0.2, c, 2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = -4*h, 81*h - 14 = 77*h - 2*j. Calculate the least common multiple of 1649 and h.\nAnswer: 8245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.24804 nanograms in tonnes?\nAnswer: 0.00000000000005624804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 175072214950 and -0.14.\nAnswer: 175072214949.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 4, -5 in descending order.\nAnswer: 82, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*i - 2*z + 1, 6 = 2*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.21 + 12.79. Let i be (-52)\/16 + (-224)\/(-128). What is the closest to 2\/7 in b, i, -1\/3, -3\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshshahhhhhhssqass. What is prob of sequence hah?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1880002*r - 40. Suppose -2*o + 0 = -3*n - 46, o - 10 = -5*n. Let a be d(o). Round a to the nearest 1000000.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434, -4228, -14684, -35162, -69022?\nAnswer: -119624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 5 = c - 5*p, 0 = -2*p. List the prime factors of (c - 0)\/(3801\/1266 + -3).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10 + 2*v**3 + v**3 + 10 + 7*v**2 wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-12)*(9 - (-480)\/(-36)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -2*q - 22*q. Let y(j) = 6*j + 3. Let m be y(0). Solve -i = -3*k + 7, 2*k + m*k = 5*i + q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2 - 14. Let m(j) be the first derivative of j**4\/24 - j**3\/3 + j**2\/2 + 4*j + 21. Let d(b) be the second derivative of m(b). Calculate d(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*c - 74*c + 387145. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-90)*(-2 - (-28)\/44)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 3. Let n(k) = -3*k**2 + 2*k. Let l(w) = -2*w**2 + w - 2. Let i(t) = 2*l(t) - n(t). What is 6*i(h) + 7*z(h)?\nAnswer: h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/7684134 and 169\/420.\nAnswer: 537889380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2109858706 to the nearest one million.\nAnswer: 2110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(160)\/(5*sqrt(245)) + -4 + (sqrt(88)\/sqrt(4))\/sqrt(11) + 2.\nAnswer: -2 + 39*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74887.\nAnswer: 74887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 740 and 1295?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (2 - 1)*5\/5 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**3 - g**2 - g. Let f be x(-1). Let d be (54\/15)\/f*270\/(-2). Suppose c + d = 2*c. 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 w(i) = -4*i**2 - i. Let n(c) = -32*c**2 - 71*c + 17. Let y(b) = 11*b**2 + 25*b - 6. Let d(u) = 6*n(u) + 17*y(u). What is 3*d(m) - 2*w(m)?\nAnswer: -7*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -415 + -37aea?\nAnswer: -38010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2268).\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70778 is divided by 616?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -2, 53\/4.\nAnswer: -2, -1\/6, 53\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 5*h**2 - 3*h + 6. Calculate j(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-117)\/(-42) + -3)*-1272. Let h = -272 + v. Which is the second biggest value? (a) 3 (b) 1\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151 - 203225?\nAnswer: -203044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 571895 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2003258 to the nearest 10000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3177 - -3284. Calculate the remainder when 846 is divided by f.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u + 60*u + 60*u + 26*u in the form k*u + m and give k.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 3915?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 + 3*a**2 + 9*a + 7. Calculate s(4).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42576 and 8515200.\nAnswer: 8515200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 9 = 13*s. Let v be (-50)\/4*(-24)\/s. Find the common denominator of 131\/6 and ((-1)\/(-2) + -1)*546\/v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14073, -14072, -14073, -14076?\n\"Answer: -z**2 + 4*z - 14076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, -908044, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (17 - (13 + -2)) - 7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**9\/25704 - f**8\/4760 + f**6\/765 + 23*f**3\/2 - 3*f**2 + 7*f. Let k(g) be the first derivative of y(g). Factor k(l).\nAnswer: -2*l**2*(l - 1)*(l + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38848, 38851, 38854, 38857?\n\"Answer: 3*c + 38845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppquopuzzoqz. What is prob of sequence uquz?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -1927a46?\nAnswer: -1927a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 2*t + 3. Determine n(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**3 - 2*s**2 - 2*s - 2. Let i(t) = -31*t**3 + 11*t**2 + 11*t + 11. Let c = 46 + -57. Determine c*z(v) - 2*i(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -102\/95425 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-570)\/(-120)*(371 + -367)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-12))**49 assuming g is positive.\nAnswer: g**(-539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-45) + (308\/(-55))\/14?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -4, 40, 144, 332, 628, 1056, 1640?\nAnswer: 2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 567152.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-12) - (-2)\/(-4). Let m = 84163\/1022 + -93\/146. Let l = 82 - m. Is v != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 7:42 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 650757329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k - 20. Let u(w) = 10*w. Let s be u(-1). Let m be o(s). Solve -3*x - x = -m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*u**4 + 11*u**2*w + u + 6*w + 8 wrt u.\nAnswer: -120*u**2 + 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12) - (12\/9)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154412 (base 7) in base 3?\nAnswer: 1112200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 5:36 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**3\/3 - 2*n - 9. Determine k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4 + 11 + (-303765)\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 - 180 = -67*o - 2322 - 2151 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - 4*c**2 - 2*c**2 - c**2. Let a(y) = 5*y - 6. Let k(v) = -4*v + 7. Let w(d) = 7*a(d) + 6*k(d). What is w(b(f))?\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 11. Let v be x(-6). Which is greater: v or -0.04?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*f + 156*f + 2 + 8 - 451*f.\nAnswer: -716*f + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -755 - 0.25768?\nAnswer: -755.25768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.2 and -0.53.\nAnswer: -6.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6500 and 119\/2600.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, e: 3}. What is prob of sequence za?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/5088 and 117\/2620.\nAnswer: 3332640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 1. Which is the biggest value? (a) -3 (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41529 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1178 - 6*f**2 + 10*f**3 - 2*f**3 - 589 - 4*f - 587. Let p(y) = -7*y**3 + 5*y**2 + 3*y - 2. Give 6*p(v) + 5*s(v).\nAnswer: -2*v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(sqrt(204)\/(-4*sqrt(132)\/sqrt(11)) - (-5 + 3 + sqrt(17) + -5))*-5)**2.\nAnswer: -1775*sqrt(17) + 30789\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*a - 315*a = 392*a - 89220 for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029 = 6*n + b + 2*b, 5*b = 2*n - 313. Solve -38*c + n = -59 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*t + 125 = 44 - 145 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3690 and 5970?\nAnswer: 734310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 64?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzo when four letters picked without replacement from ozoqzlzloz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*y + 7 = 53, 2*i = -2*y + 4. Let a be (-12 + 10)*(2 + -6 + 1). Differentiate 5 + 6 - i - a*u**3 wrt u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 2 - 17 - 1 + 2 - 2 + (-1 + 4 - 5)*(-2 + 1 + 2) - 1 + 0 + 3 + 4 + 3 - 6 + 2 + 1 + 0)*(7*z - 3*z - z) to the form p*z + x and give p.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -319.565 plus -5?\nAnswer: -324.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a**3 + 0*a**3 - 12*a**3)*(2 + a**2 - 2).\nAnswer: -25*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*0.0799131\nAnswer: -0.007192179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/((-1680)\/(-14))*68?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d - 64 - 445 - 1555 = -9*d for d.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2820 and 568464.\nAnswer: 133589040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f = 111*f + 105*f - 3318 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87066667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5 = -13. Let y(u) = 2*u**2 + 3 + 2*u**2 + 4*u - u**2. Give y(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 - 3 = 0. Let i be -3*1\/2*r. Solve -i*o = -0 - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2978 - 2497 = t, 3*l + 5*t - 3257 = 0. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 10899*y**2 + 65376*y - 106. Give j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4086986.\nAnswer: 2, 79, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 297\/77 + (-2)\/(-14). Suppose -6 - 2 = x - 5*p, 10 = -2*x + m*p. What is the common denominator of (-16)\/(-24) - x\/(-6) and -5\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/106 + (-2897032)\/299132 + 10\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -69. Let c be (80\/25 + h)*-5. Suppose -4*l + 5*x + 321 = 0, -3*l + c*x - 2*x + 246 = 0. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 96 + 286981*r - 286979*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4 - 5 + 0. Suppose 16 = 2*f + 42. Let k(a) = a**2 + 12*a - 14. Let z be k(f). Let h(c) = -c**2 - c - 6. What is z*h(b) + 4*r(b)?\nAnswer: b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -30*p + 30. Let a be s(9). Let w be a\/(-17) + (-2)\/17. Suppose 2 = -4*z + w. Solve 0 = -4*b - 4*l - 8, z = -3*b - 4*l - 0*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914694569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2)*(-8 - 10 + 10)*(125274 + 52*x + 7*x**2 - 125274) to k*x + l + n*x**2 and give k.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5758902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36147?\nAnswer: 3, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyy when three letters picked without replacement from qpqqpqqppqyqpyqqp.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 1, r: 12}. What is prob of picking 2 r and 1 l?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 70.851. Let c = 0.049 - z. What is the nearest to -1 in 0.06, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 41. Let l = -44 + 55. Let n be k(l). Solve 4*f - 4*d = -0*d + n, f - 8 = -d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -7*m - 0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48 + -3?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - 0 - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/126 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 13*a**2 + 1. Let r(o) = 3*o + 2. Determine r(u(q)).\nAnswer: 39*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**6\/120 - 7*i**5\/30 - i**4\/2 + 3*i**3 + i**2 - 17. Calculate r(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322993, 322997, 323001, 323005, 323009, 323013?\nAnswer: 323017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 995137 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*p - 93, -x + 2*p + 0 + 31 = 0. Let c = 157\/5 - x. Determine j, given that 0 - c*j + 1\/5*j**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8779865 - 89422925747\/10185. Let x = 4\/291 + r. Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.7299 - -14.860705. Let z = m - 1.13. What is z rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-160)\/(-10))*16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3 = -4*u. Suppose 11 = u*s - 16. Calculate the remainder when 17 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161239847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2469, 20152, 68267, 162036, 316681, 547424, 869487, 1298092?\nAnswer: 1848461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 7*u + 8. Let n be s(6). What is the units digit of 3\/n*(-48)\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**8\/2520 + 11*d**6\/360 + 13*d**5\/60 + 14*d**2. Let v(x) be the third derivative of g(x). Differentiate v(f) wrt f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1638.3234 and 0.2.\nAnswer: 327.66468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2 - (-3210)\/15. Let z = x - 129. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19378332*0.2\nAnswer: 3875666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*i - 2*z + 13, -5*z + 37 = 4*i. Let h = 68.21 + -68.41. Which is the smallest value? (a) 5 (b) 0 (c) i (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 + 1 - (49 - (83 - (50 + -57)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*b**4 + 1233*b**3 - 28499*b**2 - 2*b**4 + 8369*b + 28497*b**2 + 1691*b**3 wrt b.\nAnswer: -24*b**2 + 17544*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -18 (b) 4 (c) 21\/4 (d) -12 (e) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 4*s + 3. Let g = 6 - 4. Let k(z) = -2. Let j(w) = 5*w - 9. Let a(i) = j(i) - k(i). Let q be a(g). Give r(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*h + 3*k = -118*h + 51, 2*h - k - 11 = 0. Solve -11*j = -y - 10*j - 4, h*j = -2*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 - 507*k**2\/5 + 64008*k\/5 + 64516\/5.\nAnswer: (k - 254)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3161?\nAnswer: 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 1691712 = 71*c. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -79. Let p = 2 + 1. Let h be 5 - 1 - (y + p). Solve 2*x + 30 = -5*w, h*x - 8 = 4*w - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 + p**3 + p**3)*(-p + 0 + 0)*(-3 + 3 + 1) + (0*p - 2*p + 3*p + (-4 - 21 - 5)*(-p - 4 + 4))*(-3*p**3 + 0 + 0 + (2*p + 0*p - 4*p)*(-2 + 2 - p**2)).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35212616 - 2*t**2 + 35212616.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37973 and 93?\nAnswer: -3531489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/u)\/u**(-36))\/(u\/u**(7\/3))**(2\/11) assuming u is positive.\nAnswer: u**(1174\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8082 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29250077665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/1 - (-1 - -1). Let v(f) = -f - 2. Let i be v(r). Is i greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*w + 158*w - 125416944 = -99*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.4 + 25. Let y(v) = -v + 2. Let t be y(3). Sort t, n, -3 in increasing order.\nAnswer: -3, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - h + 4, -3*h + 0 = q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24751591 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3\/4, -38, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 272e4 (base 16) in base 11?\nAnswer: aa635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -12145163?\nAnswer: 12145159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - -2.4. Let t = m - 3. Let d = 337\/30 + -65\/6. Which is greater: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 325*j + 78. Let t(u) = -21*u - 5. What is 5*n(m) + 78*t(m)?\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385 by -3.\nAnswer: 385\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 113. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/5, 7, -0.4, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/225)\/(14\/231)*225\/(-18)*-1.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -119, -178, -237, -296?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*p**5 - 248*p**4 + 35*p**3 + 8146837*p**2.\nAnswer: -1320*p**2 - 5952*p + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154287374.\nAnswer: 2, 89, 866783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -5, 5, -122\/165?\nAnswer: -122\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, c: 11}. Give prob of picking 2 c and 2 n.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15914? (a) -1 (b) 3 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*n = 9, -9*n + 9 = 5*t - 11*n. Let p(y) = 3*y**3 - y**2 - 8*y + 6. Calculate the smallest common multiple of 30 and p(t).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 36 = 2*o - 0*y, -3*y = -o + 10. Let m = o + -9. Suppose 0 = -5*f + m - 3. What is the smallest common multiple of 5 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(112) - (sqrt(112) + 4))*2 + -1 + sqrt(112)*-2)*-3)**2.\nAnswer: 576*sqrt(7) + 4176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 46343?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -2\/5 (b) 8523 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*o + 384*k*q - o**2*q + 476*o*q + 6 with respect to o.\nAnswer: -k - 2*o*q + 476*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -339607 divided by 28?\nAnswer: -339607\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40985 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 4*g + 5. Let a be d(-4). Let w = 6 - 6. Suppose a*f = 455 - w. Is f 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 6:34 AM and 9:35 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 24 = m, 3*r = -r + 12. Let s be -12*(-1)\/2 + -3. Calculate the remainder when m is divided by 11\/(2\/6*s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10574 divided by 311.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266 + 107 + 19 - 104*g**2 + 41 + 2*g.\nAnswer: -104*g**2 + 2*g + 433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - -4.24. Let q = l - 4. Let x = 0.199998 - q. Round x to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4506.992672 + 4507. What is a rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 311.76 + -314. Let a = n + 2.34. What is the smallest value in a, -2\/13, -0.01?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -163*b - 6. Let w(l) = -33*l - 1. Give 2*d(k) - 11*w(k).\nAnswer: 37*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146225, 146232, 146239, 146246?\nAnswer: 146253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 0.3, 7\/2, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:27 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 - 217 - (13 - (-2 - -2))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 12:44 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -2*m**3 - 4. Let s(d) = -2*d**2. Determine s(p(n)).\nAnswer: -72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = 5*c - 0*c, -4*w - 4 = 4*c. Let n be (-2 + 3)\/((-1)\/(-20)). Suppose 796*z + n = 798*z. Put 5, c, z in decreasing order.\nAnswer: z, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - x**2 + 8*x + 6. Calculate the remainder when c(-5) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i = 45*i - 4*u + 6061, u = -5*i - 10071. Is i less than -2015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1769 divide 698523261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:49 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27274756*q + 27422425.\nAnswer: 27274756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3\/5 + 7*o**2\/5 - 9*o\/5 - 63\/5 = 0.\nAnswer: -7, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1871 = 2*p + 311, -1574 = -2*p - 4*j. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.3152931.\nAnswer: -1.5764655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -16. Let z be 5 - 6 - 4\/(-4). Solve i*a - 22 + 6 = z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3776 divided by -4\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(-57*w + 5 - 7 - 34*w + (4 - 3 - 2)*(0*w + 0*w + w)).\nAnswer: -276*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zddzzfddzfzpf. What is prob of picking 1 z and 1 f?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1124.201 litres?\nAnswer: 1124201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 8, u - 105 - 28 = -5*k. Solve -9 + k = 9*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:44 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107.4 + 396909093812.\nAnswer: 396909093919.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 26, 0.1, 4\/49, -52, 3\/2 in ascending order.\nAnswer: -52, -3, 4\/49, 0.1, 3\/2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + n + 28, -f + 9*n - 4*n = -14. Suppose f*c = 269 + 1486. What are the prime factors of c?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/35)\/(75\/(-70))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22777, 45480, 68183, 90892, 113613, 136352, 159115, 181908?\nAnswer: 204737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30518 = -13*u - 2*d, -2*u + 3424 = -5*d - 1287. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c*l**3*w + 4*c*l**3 - 3*c*l*x - 2*l**3*w*x - 8*l**3*w - 2*l**2*w with respect to c.\nAnswer: -8*l**3*w + 4*l**3 - 3*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5260591 to the nearest integer?\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 equal to 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163068 or -163070?\nAnswer: -163068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5) - (24\/(-15) + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 j when three letters picked without replacement from {m: 1, j: 2, f: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 + -963\/7. Which is the closest to -2\/5? (a) -0.4 (b) n (c) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5226730609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -166? (a) -0.01 (b) 0.186 (c) 3 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(2\/(-18)). Let l(j) = w + j**2 + j - 5 + 4*j. What is l(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/40 + r**4\/8 - r**3\/4 + 16*r**2 + r. Let b(f) = 0. What is f?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8*a = 4*a - 24280, 3*r + a - 36420 = 0. Calculate the highest common factor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1003\/29 - 415\/12. Let j = -161641260 + 618762747445\/3828. Let w = u + j. Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, q: 5, f: 8}. What is prob of sequence hqh?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40331\/112 - -2550\/7. Suppose -4*r - 2 - 2 = -4*h, -3*r = 5*h + 35. Find the common denominator of h\/(-40)*(-51)\/(-2) and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 2*k + 5*k)*(5*k**4 + 0*k**4 + k**4) + (14*k**2 - 3*k**2 - 4*k**2)*(-2*k**3 - k**3 + 2*k**3).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**4\/4 + 3*v**3 - 3*v**2\/4 - 3*v = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 284*k**3 + 562*k**3 - 7*k**4 - 279*k**3 + k + 2 as m*k**3 + n*k**2 + t*k + x*k**4 + z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45637257 to the nearest integer?\nAnswer: 6756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, w: 1, c: 1, h: 1, q: 2, x: 2}. What is prob of sequence qchq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3098924 = w - 1007056, 3*k = -2*w + 3079485. Let f = -1615543 + k. Let j = f - -379048. Round j to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, -1\/86, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f. Let r(h) be the third derivative of -2*h**2 + 0*h - 1\/8*h**4 + 0*h**3 + 0. What is r(i(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 139198 divided by 69599?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y + 3*y + y)*(0*y**2 - 2*y**2 + 3*y**2) - 144*y**3 - 196*y**3 + 18*y**3 to the form n*y**3 + m + d*y**2 + t*y and give n.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*v - 1 + 10, 3*h = -v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 95 = u. Let v = 21 - u. Solve -3*s = v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*t + 18*t + 65*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4220*x - 14 + 25 - 11 + 98026*x.\nAnswer: 102246*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019 - 1010 + 59*q**2 - 49*q**2 + 2029.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/17))\/p**(-4) assuming p is positive.\nAnswer: p**(86\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 20. Let d = m - 2. Let p = 14 + d. Which is the closest to -1? (a) p (b) -0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooo. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axnj when four letters picked without replacement from {n: 2, v: 2, x: 1, a: 1, q: 1, j: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, -1\/46, 4?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 728 and 30576?\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 903*h**4\/8 - 93*h**3 + 33*h**2 + 29*h. What is the derivative of c(g) wrt g?\nAnswer: 2709","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 505 divided by 101\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/5)\/(q*q\/q**18*q) assuming q is positive.\nAnswer: q**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 37. Which is the third smallest value? (a) g (b) -2\/9 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 1\/6*u**4 + 5*u**2 + 0 + 0*u - 2\/3*u**3. Find the first derivative of a(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -384016 divided by 2\nAnswer: -192008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ab + f95?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:45 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -28, -45, -64, -85?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.446*13.31.\nAnswer: -19.24626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 12:40 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/18*-3 - 1442\/(-42) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-5)*(10 + (-16 - -11)). What is the tens digit of (5\/15)\/(n\/18252)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6795 is divided by 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**5\/20 - m**4\/12 + 3*m**2\/2 + 2. Let x(y) be the second derivative of d(y). What is the second derivative of x(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = -2*k, y - 5*k - 2 = -3. Is y greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 24934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 4:35 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -20. Let a = v - -19. Is (-1432)\/20*(-15)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:19 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b - 7. Let a be (6\/(-4) + (-55)\/(-30))*18. Let v(f) = -f + 1. Determine a*v(y) + x(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0 - 4. Suppose 0*h - d*h = -4*c - 20, 3*h + 5 = -c. Solve 2*r + h - 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38.41779 and 2.26535?\nAnswer: 36.15244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40026622 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 - q**2 - 4*q**2 - q**4 - q + 2*q**4 in the form z + y*q**3 + n*q + s*q**4 + u*q**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, c: 4, r: 6}. Give prob of picking 4 r.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186457.4 millilitres to litres.\nAnswer: 186.4574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466232290?\nAnswer: 2, 5, 2707, 128047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42648 is divided by 3860?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -14. Suppose -22*r + 21*r + 6 = k. Calculate the remainder when 86 is divided by ((-3)\/(-2))\/((-18)\/(-88))*r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 - 18*k + 72. Let c(f) = -f + 1. Let l(h) = -3*c(h) + j(h). What are the prime factors of l(11)?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 - 1 = 0. Suppose 2*n + n = 0. Let y(s) = 11*s - 118. Let w be y(11). Sort t, n, 8, w in ascending order.\nAnswer: n, t, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.637 + 7.429. Let v = 29 - 50. Let x = v + j. What is x rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 8:06 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*y - 23 - 95 = 0, 51 = 2*r + 3*y. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 1\/4, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 3*l**2 + 3. Let s(b) be the third derivative of -b**6\/40 - b**5\/60 + 10*b**2. Let p be s(1). What is t(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2071 and 20165?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and 0.05.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*q + 36. Let o = 17 - q. What is the remainder when 13 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2420*o - 1699 with respect to o.\nAnswer: -2420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 2, p: 1}. What is prob of picking 1 r and 1 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060321287?\nAnswer: 3, 29, 617, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lummmmrlrw. What is prob of picking 1 l and 1 r?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*d + 2040, 11*w + 3*d - 2857 - 8288 = 0. What is the greatest common divisor of w and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmcf. What is prob of picking 1 c and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 - -1590?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902034974.\nAnswer: 2, 3, 7, 45286547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.82548 - 4.82548. Let a = 0.1 - 0.6. What is the nearest to 0 in y, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 624797, 624793, 624791, 624791, 624793, 624797, 624803?\nAnswer: 624811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 2 + 15 + -62 - (0 + (26 - 1))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2530*j**2 + 5692*j wrt j.\nAnswer: 5060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26*(26063\/2 - -1). Suppose 5*w - r + 205028 - 1052083 = 0, -2*w + l = -5*r. Let v = w - 309410. Round v to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -482 - -481 - (-10 + 1 - (-2 + 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 203.70507ms?\nAnswer: 0.0033950845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41143*a**5 + 9123*a**2 - 4*a.\nAnswer: 2468580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*p - 4 = 0, 169*p = 3*m + 178*p + 60 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = q. Suppose -176772*j - 1248 = -176740*j. Sort -1, j, q, 4.\nAnswer: j, q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 9*u - 7. Let z be n(7). Suppose -6*h + z*h = 3. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11371 - 10?\nAnswer: 11361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -20. Suppose k*r + 23 = -x, r + 3*r = 4*x - 28. Solve -2 = -w + 2*j - 6, 5*w = -x*j + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81323620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 10 = -5*m + 4*x, 4*m = 5*x + 103. Suppose -214 = -7*v + 5*v. Calculate the remainder when v is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1200299*i**5 - 687252*i.\nAnswer: -24005980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(-9556)\/(-131395)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - v**2 + 2*v + 2. Suppose -35 - 5 = 4*g. Let q be g\/2*(-4 - -3). Suppose -u + q*o = -22, 7 = u - o - o. Determine r(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2008)\/112 + 14 + 4. Let b(a) be the second derivative of 0 + 2\/5*a**6 - 47*a + a**4 + 9\/10*a**5 + 0*a**2 + p*a**7 + 1\/2*a**3. Factor b(g).\nAnswer: 3*g*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h - 18*h + 31*h + 13*h.\nAnswer: 46*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 747*a - 1855641*a**2 + 3*a**3 - 4 - a**3 + 1855643*a**2 - 2*a**3 - 2*a**3 to the form g*a**3 + s*a + p*a**2 + q and give s.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68, -39, -340, -931, -1908, -3367, -5404, -8115?\n\"Answer: -16*h**3 - h**2 + 8*h + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/1080*(-4050)\/120?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -110. Let m = -12 + o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11572 - 4*x**3 + 5*x + 11602 - 3*x to the form n*x + k + p*x**3 + a*x**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1319 + 10830 = -5*z, -2*w + 6070 = -4*z. List the prime factors of w.\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 436\/22 + 8\/44. Suppose 0*v - p = -2*v. List the prime factors of (-2)\/(-10) + 68\/v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28)\/4)\/(3 + 13\/(-4)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 502191.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14498832.4 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 81*l - 162*l)*(-3 + 3 + 1).\nAnswer: -243*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvvl when four letters picked without replacement from lvlkvkvkbkklkkllkllb.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -88*w**2 + 2. Let u(t) = -44*t**2 + 1. Determine -7*u(d) + 3*v(d).\nAnswer: 44*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 divided by -12?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w - 8. Suppose -4*a + a + z + 2 = 0, 0 = -2*a - 3*z + 16. Let v be k(a). Suppose -15 = -v*d + 165. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 9*d - 11. Let t(z) = 5 - z**2 + 0*z**2 + 3*z - 7*z. Let a be ((-8)\/6)\/(56\/(-4788)*-38). Give a*v(l) - 7*t(l).\nAnswer: -2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 6) to base 13.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -83 in 2\/17, -0.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s**4 + 91691 + 173*s**4 + 10*s - 91700. Let i(w) = -369*w**4 - 22*w + 19. Let a(v) = 7*d(v) + 3*i(v). What is the second derivative of a(j) wrt j?\nAnswer: 2256*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/3)\/(8\/(-8)). Solve -h*v = -14 + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34837.\nAnswer: 11, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -57*k**2 + 21*k**2 - 55*k**2. Let r(v) = -v. What is r(q(a))?\nAnswer: 91*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-2\/15)))\/p**(-7)*p**(2\/5)*p**(-5)\/p assuming p is positive.\nAnswer: p**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 2715 in ascending order.\nAnswer: -6, 5, 2715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-120)*-8)\/(-1*(-10)\/12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5792405 is divided by 1050.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0 - -1)*-1)\/((-6)\/318). Suppose -l*p = -50*p. Suppose p*c + 259 = 7*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 24. Let z be ((-4)\/(-8))\/(h\/24). Solve -2*m - z = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94997.84ml in litres?\nAnswer: 94.99784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*3\/(-6)*-15. Solve 12 = b*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g + 24 + 22 + 11*g - 71 + 26. Let j(q) = -2*q - 24. Calculate j(r(k)).\nAnswer: -12*k - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 237*l**2 - 2 + 175*l**3 - l - 478*l**2 + 240*l**2 in the form x*l**2 + o*l**3 + f + s*l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5299 + 5299 + 4*z**2 + 168*z - 171*z. Let q(o) = -3*o**2 + o + 2. Let a be q(3). Let s(j) = -15*j**2 + 11*j. Calculate a*f(d) - 6*s(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85\/28 + -333\/14. Find the common denominator of m and -1 + 1\/(16\/174).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1732*f**4 + f**3 - 8*f**2 - 9*f - 68.\nAnswer: -41568*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2*z**3\/3 - 6. Let b(k) = -k**2. Calculate i(b(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 12:50 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33487*y + 33357*y = 4160 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2 + (-4 - (-45)\/10). Let h be ((-6)\/165)\/(33\/15). Is w < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-9))**(-1\/28)*k**(-5)*k**12 assuming k is positive.\nAnswer: k**(93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1428707 and 408202?\nAnswer: 2857414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -17, -0.1, 0.4, 1\/2.\nAnswer: -17, -1\/2, -0.1, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5406831641 to the nearest integer?\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-6 + 3))\/(5\/(-12485)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3))**29 assuming m is positive.\nAnswer: m**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22699 + -22698.6. Let d = 4.7 - 5. Put 0, u, 5, d in descending order.\nAnswer: 5, u, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300621603 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4916\/(-6)*(3 - 27\/6). Let m = i + -538. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)\/(q\/(q\/q**(6\/17))))\/(q**(-1\/8))**(-5\/11) assuming q is positive.\nAnswer: q**(-2525\/13464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 4*h - 6. Give o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9618642*k**2 + 2*k**3 + 32*k**3 - 9618642*k**2.\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f + 2*j - 3, -37 = -3*f - j. Calculate the highest common divisor of 2366 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1732454*v**4 - 218812*v.\nAnswer: -20789448*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2259.23 times -0.4\nAnswer: -903.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 344*s + 388.\nAnswer: 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 4*n**2 + 24*n + 17. Let w be p(8). Which is bigger: w or -48?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f + 3*s - 445587, 5*f - 34283 = 4*f - 2*s. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -365.4.\nAnswer: -389.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 20.39709432?\nAnswer: 20.49709432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 21. Suppose -3*n - c = 1. Let b(w) = -w**3 - 6*w**2 - 7*w - 3. What is the least common multiple of 11 and b(n)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45076\/1062)\/191)\/((-88)\/(-36)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232\/9*n - 1322\/9*n**2 - 2156\/9*n**5 - 8\/9 + 1330\/9*n**4 + 1924\/9*n**3 = 0.\nAnswer: -1, 1\/22, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(133)*2 - -6*sqrt(133)*-2)\/((-4*(sqrt(448) + (1*sqrt(448) + sqrt(448) - sqrt(448))) + sqrt(448))*-6)*-3.\nAnswer: 9*sqrt(19)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*-1.8.\nAnswer: -52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/277978436 and -17\/6.\nAnswer: 833935308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10430 divided by 2086\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.3954 nanometers to kilometers.\nAnswer: 0.0000000000733954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/3)\/(76\/(-36)*-6)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5e (base 15) to base 7\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*p = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = 4*b. Let t = 3 + b. Let j = 6 + t. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 12 = -4*r, -4*r + 2*s = 5*s - 32 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3100)\/(-30)*36\/(-8). Let s = 381 - w. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.27? (a) 2\/9 (b) 0.2 (c) 2\/11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 + 93. Suppose -2*o - 4*i = -9*i - 1617, d = -o - 2*i + 831. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + h = 4, -3*h - 2*h - 25 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 2. Let q(o) = 2*o**2 + 3*o - 5. Is q(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 19. Let h be f(-11). Let m(t) = -t - 2. Let o(i) = -2 + 2 - 2 - 4 - 3*i. Determine h*o(c) - 8*m(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -550*c**3 - 175*c**2 - 175. Let y(j) = 19*j**3 + 6*j**2 + 6. Determine -6*b(a) - 175*y(a).\nAnswer: -25*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9991827*b + 20709. Let t(z) = -5789*z + 12. Calculate -4*r(m) + 6903*t(m).\nAnswer: 5841*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 2\/3, 3\/14, -42 in descending order.\nAnswer: 2\/3, 3\/14, 2\/13, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 2*b**2 + 19*b + 41. Suppose -j = 4*j + 4*t - 162, 3*t = 2*j - 51. Calculate the smallest common multiple of j and d(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/90 and 7\/1116?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1681 is divided by 189?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -1\/40*c**6 + 0*c**3 + 5*c**2 + 1\/140*c**7 + 0 + 0*c + 1\/8*c**4 - 1\/40*c**5. Factor h(r).\nAnswer: 3*r*(r - 2)*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 0.2 (c) 0.7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 167 = -58*b + 138, 2*b - 25 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -18*g + 108 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 0. What are the prime factors of (z\/(-12))\/((-1)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -29*w**2 - 171*w. Let a(c) = 4*c**2. Determine i(a(v)).\nAnswer: -464*v**4 - 684*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from oocilloikklkroolloki?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 2 - 2)*(-153*o + 166*o - 1 + 0) in the form z*o + j*o**2 + w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 90 = -2*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1656 is divided by 114.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3665*z**5 - 3*z**4 + 3013*z**2.\nAnswer: -219900*z**2 - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Suppose 0 = b + 3*h + 6, 3*h = 4*b - t*h - 27. Suppose b*d = -12, -d + 24 = 7*y - 3*y. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 257*r - 92 + 24 + 17 + 25.\nAnswer: -257*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 19. Suppose y*p + 19 = 5*p. Let v = p + 1. What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 478 - 479. Let s be 0\/1 - (-3 - -2). Sort s, 0, f in decreasing order.\nAnswer: s, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:52 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z - 10 + 10 - 2. Let u be q(1). Let a(c) = c**3 - 4*c**2 - 4*c. What is the units digit of a(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noc when three letters picked without replacement from ozzznzzcz.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -742*s**5 - 17*s - 12 wrt s.\nAnswer: -14840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/5)\/(8\/(-5)))\/(341152\/194944)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/147100 and -47\/104.\nAnswer: 3824600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -7. Suppose 0 = 3*x, 0 = b - t*b - 3*x - 3. Let p be -2 - (0 - -1 - b). Solve 0 = -4*l - p*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + 13*w**3 + 2*w**4 - 13*w**3 + 4*w**4 - 3*w**4 + w**4 + 4*w**4 - 4*w**4 - 2*w**4 + (w**4 + 0*w**4 - 3*w**4)*(0 - 1 + 2) + 2 - w**4 - 2.\nAnswer: -w**4 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 52234169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + b**2 + ((2 - 3 + 3)*(b + 2*b - b) - 2*b + b + 2*b + b - 5 + 5 - 4*b - 4*b + 6*b)*(-26721 + 26721 - 217*b).\nAnswer: -867*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11113 (base 4) in base 14?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-12\/11)*p*p*p**3*p)\/(p**(-3)\/p)**(-14) assuming p is positive.\nAnswer: p**(-562\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 11*m + 6. Let z be u(-7). Calculate the common denominator of (-1)\/4 - z\/(-28) and 68\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/63 and -169\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.147, -1, -5, 2\/13?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(-n + 0*n + 5*n) - 8*n - 5*n + n + 1 - 1 + n + (1 - 2 - 1)*(-n + n + 3*n) - 2 + 2 - 2*n in the form x + d*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31951, 63921, 95911, 127921, 159951, 192001?\n\"Answer: 10*h**2 + 31940*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13412337 + 11254*t + 13412337 as f*t + q and give f.\nAnswer: 11254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2278 - -4471\/2. Find the common denominator of (-4)\/(-14) - 600\/42 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2. Let w(l) = -17*l + 5. Suppose 8*y = 170 + 30. Suppose y = -u - 4*u. Let d(s) = -9*s + 3. Let b(a) = u*d(a) + 3*w(a). Calculate r(b(m)).\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**2\/3 + 112*d\/3 + 5904 = 0.\nAnswer: -54, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194973?\nAnswer: 13, 91921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**2 - y + 7. Let v(u) = u**2 - 1. Determine -q(s) - 4*v(s).\nAnswer: 2*s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 - 86. Calculate the remainder when 3\/(0 - (-2)\/m) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 0.336.\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15711247*x**5 + 18*x**2 - 69*x - 717.\nAnswer: -942674820*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1663513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 20*s - 96 = 0. Solve -2*r + s = -4*u, 4 = -2*r - 5*u + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 2*d**2 - d + 1. Let r(s) = 7*s**3 + 8*s**2 + 6*s - 3. Let w(f) = -4*h(f) - r(f). Let k(b) = -7*b**3 - 4*b - 2. Calculate -2*k(y) + 5*w(y).\nAnswer: -y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353855 - 962*z**2 + 353855.\nAnswer: -962*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2756? (a) -0.2 (b) 0 (c) -0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-112)\/(-90)*2\/(-7). Let q = 2\/15 + r. Which is the nearest to -2? (a) q (b) -0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 7. Calculate z(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20251 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-2)\/20*(13 + -16). Which is the smallest value? (a) -7 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 22. Let b be u(8). Let q(d) be the first derivative of d**3\/3 + 3*d**2 - 3*d + 46. Give q(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186 and 126.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*u - 1566, 68*c - 65*c = 2*u - 642. Is u a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/5887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2354 to the nearest ten.\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -32*z. Let s(j) = 11*j**2. What is q(s(r))?\nAnswer: -352*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.87 - 3.9. Let d = f - -6.03. Which is the nearest to -1? (a) -4 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252302 = -7049*m + 57854 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-45)\/18 + (-14)\/(-4). Sort -2, -2.1, q, 4 in ascending order.\nAnswer: -2.1, -2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 100? (a) 0.5 (b) -3 (c) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 284155 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 r(s) be the first derivative of 11*s**2\/2 + s + 4. What is the remainder when r(2) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90779 and 6929.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 4*u**2 - 4 - 8*u**2 + 5 + 4*u - 3*u as i*u**2 + q*u + f*u**3 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -42\/17 (c) -0.1 (d) -4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-9))\/8*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498096.\nAnswer: 2, 109, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2100, 3111, 4122, 5133, 6144?\n\"Answer: 1011*p + 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -1\/3*m**3 - 6*m - 17\/2*m**2 + 0. Does 4 divide j(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*s + s. Suppose -s = -3*i + i. Let r be 6\/i*6\/(-9). Is -1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -13. Suppose m = -5*z + 5*x + 80, 0*z - 2*z + 3*x = -27. Is (z + -4)*(-7)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*8\/16*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(0 + 2\/4). Let l(i) = -i - 3. Let s be l(0). Let x = p - s. Solve -x*u - 8 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3430 - -4) + (-21)\/(21\/2)?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -3, -1, -4 in ascending order.\nAnswer: -29, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 43. Let d = c - 0. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrzb when four letters picked without replacement from {e: 1, t: 1, b: 2, w: 3, r: 3, z: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 745 = -9*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/2)\/r)**48 assuming r is positive.\nAnswer: r**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1270 + -866. Suppose -5*q + 421 = -j. Calculate the highest common divisor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6*d - 5*p + 17*p + 0 = 36, 0 = 8*d - p + 49 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(2\/2)\/(5 - 6). Let l(i) = -i**2 - 7*i - 6. Let o be l(-5). Solve -z - m*t = -23, 2 - 1 = -5*z + o*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 4:13 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + d + 0*d**2 + 48 - 454*d**3 - 7 + 453*d**3 to t + u*d**2 + k*d + w*d**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 168*l + 150. Does 88 divide o(129)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.554 in 23.9, 89, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -41*n - 118. Let k be y(-3). Let m(s) = -s + 7. Give m(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbfbbbfbnffxbfbbf. What is prob of sequence bxf?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = -25*n + 23*n. Suppose n = 6*j - 304. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - 52*n**2 - 13*n - 15. What is the hundreds digit of f(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63958, -67033, -70108?\n\"Answer: -3075*m - 60883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/52308608 and 39\/42680.\nAnswer: 261543040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(3)*6*3 - (4*2*sqrt(147) - sqrt(147))) + -2)*-2.\nAnswer: 6 + 134*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 1924 + 44 = 27*f - 10*f for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 5. Determine a(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2124\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12488*o. Let y(l) = -2*l**2. Calculate y(k(i)).\nAnswer: -311900288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -438 - -437.228. Let p = 0.77 + c. Let o = -2.002 - p. Put -2\/11, 5, o, -2\/7 in increasing order.\nAnswer: o, -2\/7, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 smaller than 185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/5 + 38*a**4\/5 + 286*a**3\/5 + 1066*a**2\/5 + 1968*a\/5 + 288 = 0 for a.\nAnswer: -5, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1137 and 639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 3003*j - 492263. Determine h(-174).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 6*a**3 + 0 + 6*a**3 - 25*a**2 - 5 + a**4 to the form b*a + q + f*a**2 + r*a**3 + n*a**4 and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 326*f*u + 2382274*f - 60141*u**4 + 6 wrt u?\nAnswer: 326*f - 240564*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 - -1. Let o be ((-11590)\/(-183) - 65)*(-4)\/30. What is the nearest to b in -1\/4, -0.2, o, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 4:45 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 8*s = 4*s. Solve s = -11*j + 17 + 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - -6. Let n = 6 + -2. Suppose x = -2*u, -17 = n*x - 2*u - g. Solve 16 = x*f - 2*f - 2*i, -i = -f + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/11))**32\/(x**(-6\/7)*x\/(x**(-18)\/x)))**(-43) assuming x is positive.\nAnswer: x**(82646\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2012 (base 4) to base 8\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*16\/(-112))\/(7\/(-49))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*n - 229*n - 226*n - 233*n - 141*n**2 + 920*n.\nAnswer: -141*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16011*d*v + 21*d + 2877*v - 11 wrt d?\nAnswer: 16011*v + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2 - 2*r + 16. Let t be x(4). Let w be (1\/(-10))\/(t\/(-4950)). Is 3 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**2 + 8325*g - 25002 = 0.\nAnswer: -2778, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 5*y**2 + 3*y + 1. Let b be a(3). Let l = b + 13. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-1664)*-4 + 18\/24\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436864?\nAnswer: 2, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/106029 and 127\/59466?\nAnswer: 11239074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -7. Let j = y + 11. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -548536*u**6 + 47*u**3 + 1014237*u**2 + 107*u?\nAnswer: -65824320*u**3 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825375669?\nAnswer: 13, 140413513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*t**3*v**2 + 3245671*t**3*v - t**3 - 11*t**2*v**2 - 9*t**2 - t*v**2 + 11*v**2 - 252 wrt t.\nAnswer: 42*v**2 + 19474026*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10582 (base 15) to base 5\nAnswer: 3124442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by 1312.\nAnswer: -13\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(-2)*(-21)\/12 + -1 and 2\/(60\/(-157)) - 0?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(0*d + 0*d - d) - 51*d + 33*d + 25*d + 2*d + d - 2*d - 2.\nAnswer: 7*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g + 12. Let s be q(-8). Let p = -139\/5 - s. Let y = -751 - -5255\/7. What is the nearest to 3 in p, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7*h = 6. Sort -5, -2, h in descending order.\nAnswer: h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257327789.\nAnswer: 257327789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 20824 = 409. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.461573384 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 13, u: 5}. What is prob of sequence gggg?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + i + 4*i - 10, -4 = -3*p - 2*i. Suppose -6*u = -p*u + 48. List the prime factors of (u - -7)\/((-3)\/459).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - (sqrt(144) + sqrt(144)*2)) + sqrt(9) - 4*sqrt(324))\/(1*(4*(sqrt(192)*4 + sqrt(192)) - sqrt(192))).\nAnswer: -17*sqrt(3)\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 28309 = -7327. Let u = -1540 + j. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112207 (base 9) to base 15\nAnswer: -14dc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -1 (c) -1\/14 (d) 669\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 9*b**2 + 11*b - 9. Suppose 24 = q + 2*q. Let t be c(q). What is the highest common factor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, v: 2, n: 2, u: 2, p: 3}. What is prob of picking 1 v and 1 u?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -549 - -548.98886. Round r to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2 + 26*o - 27 = 0.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.499494 rounded to 3 dps?\nAnswer: 0.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*l + 3*l - 25, 0 = -3*p + 6. Let c(z) be the first derivative of 4*z**3\/3 - 3*z**2\/2 - z + 2. Is 9 a factor of c(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z - 9. Let d be y(0). Let k(x) = -9001*x**2 - 5*x + 36. Let s be k(d). What is s rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(11) - sqrt(11)) - (-1 + sqrt(33)\/sqrt(3)))*-1 - (sqrt(11) - (0 + sqrt(11)*4) - -4*sqrt(44)\/sqrt(4)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7195 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -23, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1781*b**2 - 1781*b**2 + 211*b**3.\nAnswer: 211*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 376549904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 2*j - j)*(1 - 9 - 2)*(7*j**2 - 4*j**2 + 4*j**2) to k*j**2 + b + n*j**3 + y*j and give n.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*o - 3*y - 21, 2*o = 4*y + 22 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9776028 and 1?\nAnswer: 9776028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/20*-5 - (-776)\/(-32). Put 5, 0, -3, k, 4 in decreasing order.\nAnswer: 5, 4, 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122492.\nAnswer: 2, 113, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4247400 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -797.27 and 0.7.\nAnswer: -558.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10092 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 480 - 30719\/64. Let z = 349\/192 + h. Find the common denominator of z and -5\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*w = 230*w + 1240 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a18 - -4906?\nAnswer: 3aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 - 5 = 0, 2*w - 2*x - 18 = 0. Let h be ((-21)\/w)\/((-33)\/88). Let r = -10 + h. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103.94 and 14.\nAnswer: -89.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/15 - 2644\/(-6). Let h = d - 307. Suppose -26 + h = 3*c. Calculate the greatest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 3:13 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -5. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcczpo. What is prob of sequence vcc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4071509033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.9825 + 37. Round g to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45516783619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, o: 7}. Give prob of sequence ooff.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -356.075 - -360. Let c = -4 + z. Round c to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(3*sqrt(3)) + -1 - (sqrt(2) - (-2 + sqrt(72)))*5)**2.\nAnswer: -1672*sqrt(2)\/3 + 12641\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -1\/6 (c) 0.299 (d) 23 (e) -4 (f) -3.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 3*h - 5*h + 262 + 33 = -3*o - 4*h, 5*h - 365 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/(-90))\/((-140)\/(-18)). Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 245956091?\nAnswer: -2\/245956091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 130*c - 26. Suppose -83*m = -99*m + 48. Let t be p(m). Calculate the highest common divisor of 28 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/9 + 328*t\/9 + 1690\/9 = 0. Calculate t.\nAnswer: -5, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 11 - (1 + -1) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**4\/4 + l**3 - l**2 + 4*l + 2. Let v = -7981 + 7984. Determine r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = 7*h - 35 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a centimeter in millimeters?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2368*t**3 + 6*t**2 + 3124*t - 7 wrt t.\nAnswer: -14208*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5 = -3*r - 13, 9 = r + 2*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(7) + sqrt(7) + 3)**2.\nAnswer: 42*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26\/3 - -9. Let y = 8978 - 8977. Put y, 3, h, 0.4 in decreasing order.\nAnswer: 3, y, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 80b45 - -72?\nAnswer: 80bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.882 take away 0.0635?\nAnswer: -0.9455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 + (11 - (-273)\/(-35)). Suppose 2*q = 2*w - 17278, -38371 + 12454 = -u*w + 5*q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 19. Let f be 4*y\/6 + 0. Suppose 4*s + 10 = f, -4*u - 2*s = -264. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -8*u**4\/15 - 8*u**3\/15 - u**2\/5 - 5*u. Factor n(g).\nAnswer: -2*(4*g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -178*y - 139. What is the tens digit of m(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = y - 6*y. Calculate the remainder when 73 is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/852719 and -70\/365451.\nAnswer: 2558157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -119801, -2 in descending order.\nAnswer: 1, -2, -119801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*c**3*l - 1746750*c**2*l - 150237*c*l - 3*c - 2*l - 1 wrt c.\nAnswer: 60*c*l - 3493500*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k**5 + 162*k**4 - 388*k**3 - 114*k**2 + 404*k - 48 = 0.\nAnswer: -1, 1\/8, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**6\/360 - c**5\/30 - c**3\/3 - 2*c**2. Let m(k) be the first derivative of o(k). Find the second derivative of m(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5\/3 - 1540*z**4\/9 + 2074*z**3\/9 + 2576*z**2\/9 - 344*z\/3 = 0.\nAnswer: -258, -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7374 (base 8) in base 13?\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqyppppqqppqyp. What is prob of sequence pqyq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + q - 2. Let f be j(0). Let r(i) be the third derivative of -i**6\/120 - i**5\/30 - i**4\/12 - i**3\/6 - 2*i**2. Is r(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from pspsssspppssp?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 84*o + 3 - 83*o - 2. What is m(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*g = 50 - 15, -3*o - g + 35 = 0. Let s(p) = p**2 - 9*p - 6. Let x be s(o). Suppose -x*f + 20 + 32 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + p + 1. Let n(q) = 4*q**2 - 7*q - 3. Let x = 2 + -7. Give x*t(u) - n(u).\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r - 30. Let a be (r + -4)*(-2)\/(-4). Let z(j) = -j**3 - 2*j**2 + 5*j - 3. Let k be z(-4). Solve -k = a*h - 0*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695 + 207 - 13*s + 245 + 243.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -25 - -13 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/2)\/(0 - 6\/(-138)) is divided by (-13 - 1)*(4 - 5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 56.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -44145.1 to the nearest one hundred.\nAnswer: -44100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -819137 and -819135 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8514255*y**4 - 7419081*y**2 + y + 2 wrt y?\nAnswer: 204342120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2, 2\/5, -7 in ascending order.\nAnswer: -7, -2, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*-0.0179.\nAnswer: 0.5191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 32 = -11*t - 73, 4*o + 4*t = -20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 257\nAnswer: 4\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)**(-6\/11)\/((y*y*y**6)\/((y*y**(-6)\/y*y*y*y)\/y))*((y*y**(-1\/3))\/(y*y**(-2\/5)))\/(y**(-1))**(-49) assuming y is positive.\nAnswer: y**(-10234\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/41631, 3.4, 5\/4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 182113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 24*n + 25. Let u be (10*(-15)\/(-12)*-2)\/1. What is the remainder when p(u) is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*4\/1. Suppose -r + 3 = -6. Let c be 4\/2 + r\/(-6). What is the second smallest value in c, -4, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*o + 2 + 2*o**2)*(-16*o - 23*o + o).\nAnswer: -76*o**3 - 76*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*b - 226 = 0, -b - 218 = -3*f - 2*b. Calculate the greatest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 3. Let m be a(-5). Suppose 3*z - 3 = -0*z, -m*i - 4*z + 32 = 0. Find the third derivative of i*j**5 - 6*j**2 + 14*j**2 - j**2 wrt j.\nAnswer: 840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/22*-643487 + (-20)\/(-110). Let s be j\/168*(0 - (-2 - 1)). Let k = -1055 + s. Calculate the common denominator of k and -35\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24348923 at most as big as 24348926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o*o\/(o**(-3\/11)*o)*o*o*o)**(-21)*(o**(-3))**(-47) assuming o is positive.\nAnswer: o**(-129\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 14*j. Let a(c) = 8*c**2 - 66*c - 4. Determine a(t(l)).\nAnswer: 1568*l**2 - 924*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -1\/12*q**4 - 23\/4*q**5 + 1\/3*q**3 - 29*q + 0 + 1\/2*q**2. What is the remainder when d(-1) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 962906*u**2 + 11584356 wrt u.\nAnswer: 1925812*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24425 + -21870. Calculate the lowest common multiple of n and 3650.\nAnswer: 25550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/9, 0.1, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 130. Find the common denominator of (-190)\/(-12) + 1 + 0 and 4\/v + (-171)\/(-858).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from mamammadamo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*m + 18, -1469*s + 1468*s = m - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 7968?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 + 0.39. Round o to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -162822 less than or equal to -162821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 0.8, -3, -1.816, -4 in descending order.\nAnswer: 5, 0.8, -1.816, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 564260 divided by -10\nAnswer: -56426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93181, -108490, -123799, -139108, -154417?\n\"Answer: -15309*q - 77872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, 4, 2, 0, -4 in descending order.\nAnswer: 101, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 1:49 AM?\nAnswer: 365","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 1039 + 2554. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1426116 divided by -6\nAnswer: 237686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -59. Suppose 0 = v, -5*h - 2*v + g = -25. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22717 is divided by 614?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6*16\/(-108))\/(22\/(-33))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(8\/9)*w)\/w**(2\/5))**(2\/11)\/((w**(3\/4)\/(w\/(w**(-2\/5)\/w)*w))\/(w**8*w\/(w*w**8)*w*w*w*w)) assuming w is positive.\nAnswer: w**(13703\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**3 - 11651*n**2 + 4992*n.\nAnswer: n*(n - 1664)*(7*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64247, -258562, -582947, -1037402, -1621927, -2336522?\nAnswer: -3181187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(3\/2))**(16\/3)*(m\/m**(1\/3)*m\/((m\/m**(-5))\/m))**(2\/9) assuming m is positive.\nAnswer: m**(-452\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 103?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31462*f**2 - 31464*f**2 + 62925*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5295 * 56.8\nAnswer: -30.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a - 6. Give d(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.45 * 495649.\nAnswer: -223042.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 706488 - -192119. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**5 + 7*z**3 + 3*z**2 - 7. Let j(n) = 2*n**3 + n**2 - 2. Let m(q) = -6*g(q) + 21*j(q). Find the third derivative of m(p) wrt p.\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -5 (c) -1074.9 (d) 32 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (161 - (-3 - -2)) + 1. Let j = k + -110. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -156, -31, 94, 219?\n\"Answer: 125*v - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 73*g - 8 + 1.\nAnswer: -73*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65\/4 - -451\/28. Which is the nearest to 1? (a) -1\/5 (b) 1.8 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/10780 and 101\/2725044.\nAnswer: 1049141940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 a when three letters picked without replacement from rrrrrrrrarrrrrrrrr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 10 + 5 = 0. Let q = -241\/5 + 49. Which is the nearest to -1\/2? (a) f (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196.67 - -3.33. Let s be (-15 - (-225)\/15) + -11 - (-75)\/7. What is the second biggest value in s, n, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 698901*s**4 - 4*s**2 + s - 5469.\nAnswer: 16773624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -3106.4973\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/18 + 628\/9 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -901*x + 3579. Give j(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86734 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 53*r - 642. Let z be w(34). Solve -2 = -2*x - 3*v, z*x - 9*x - 20 = -5*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(432) + sqrt(432) + sqrt(432)*2 + sqrt(432) - sqrt(432)) + 5.\nAnswer: sqrt(19)\/24 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24285, -48743, -73209, -97683?\n\"Answer: -4*o**2 - 24446*o + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j + 7 + 27. Suppose 3*b + 3*f = 561, j*b - 3*b + 2*f + 202 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15936900 divided by 189725?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -106*d - 532. What is o(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05084 + 0.079286. Round z to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 + 256*n - 2550. Give g(9).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 197 and 2.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 108. Let w(q) = q**2 - 54. Let d(b) = -3*j(b) - 6*w(b). Let v(p) be the first derivative of -2 + 17\/3*p**3 + 0*p**2 + 0*p. Give d(v(s)).\nAnswer: -867*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4438*(-3)\/1584 + 9 and -53\/6.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2912 by 259250.\nAnswer: 1456\/129625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + s - 53. Let h(j) = -11*j**2 - 1195*j + 319. What is -6*d(c) - h(c)?\nAnswer: -c**2 + 1189*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 11. Let d be h(0). Let f = d - 7. Solve -r + f = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49.8 + -49. Let c = x + -2.8. What is the nearest to -1 in 0.5, -0.7, c?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 5*t + 3. Let g = 31 - 21. Suppose -k - 2 = c - 11, 2*k - g = 0. What is s(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -151)\/(-12) - -278. What is the greatest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - -1) + (0 - 2). Suppose -h + 5*a = -26, -3*a + 1 = 4*h - 11. Solve -h*m - 7 = -x - m, -s*m - 8 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7376 and 922?\nAnswer: 7376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j. Suppose -2*t + 17 + 9 = j. Suppose -4*m = -p - 21 - t, 2*p = -m + 4. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 5 = -w + 4*v, 2*v - 12 = -5*w. Suppose -5*k = -4*k + 4*p - 51, 3*k - 203 = -w*p. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21045\/(-35) - (-2)\/7. Let x be 5\/25 - a\/(-5). What is the tens digit of (-1)\/(x\/116 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/630*-20*(-846)\/(-376)*(0 + -58).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/2*(-12)\/(-18). Let q(l) = l - 8. Let d be q(f). What are the prime factors of (d - (8 - 2))*-6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = 3*o. Let q = 0 - o. Suppose -q*j - 5*p + 50 = 0, -4*p + 26 = 2*j - j. What is the greatest common divisor of 40 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1916 = -402*q - 498*q + 1798 - 12482 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 4*l - 3*l - 3 + 0*l. Let d(o) = -2*o + 2. Let a = 8 + -4. What is a*j(p) + 5*d(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmvs when four letters picked without replacement from vmgggtgvvmvmmms.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 8 - 7*h**2 + 8 + h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 298655?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 972770260 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 524 + -508. Solve 13*k + 10*k = z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(48) + 3)**2.\nAnswer: 3*sqrt(13) + 49\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 49.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -10. Let t be i\/72 + (-76)\/18. Sort 10, -1\/2, t in decreasing order.\nAnswer: 10, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + (sqrt(187)*1 - sqrt(187)))*-4)\/(sqrt(891) + sqrt(891)*-3))**2.\nAnswer: 68\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 864052 and 69000724.\nAnswer: 483005068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + q**2 - q**3 + q - 5*q**2 - 1 + 0*q. Calculate t(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*u**3 - 2 + 2*u - 2*u + 6 - 34475*u**2 + 34475*u**2.\nAnswer: 45*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.786934 to zero dps.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (594\/13 - (-5910)\/2561) + 92?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2)*c)**(-7\/2))**21 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 11.2. Let m = 0.1 - 0.05. Let n = 0.45 - m. Which is the biggest value? (a) x (b) n (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7943379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 315315*q**2 + 8285768721*q + 24854468409.\nAnswer: 3*(q + 3)*(q + 52551)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-1)\/25*3*8\/(-24).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*s + 3*s + m, -1260*m + 1255*m = 45 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 857\/13 + 8989\/78. Let b = -182 + i. What is the common denominator of 74\/27 and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 1\/536, -2\/7, 1, 2?\nAnswer: 1\/536","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 9*q - 6. Let z be x(6). Suppose z*i = 10*i. Solve -2*a + 3*a + 3 = i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isys when four letters picked without replacement from {s: 6, e: 2, x: 2, i: 3, y: 5}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**26)**3 assuming z is positive.\nAnswer: z**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.03. Let w = -0.57 - z. Which is the nearest to -1? (a) -0.1 (b) 1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121918.\nAnswer: 2, 7, 127, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 25\/(-15) + 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01259425 to five dps.\nAnswer: -0.01259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72352 by 36176.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/359 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1945 + 1963.82. Let v = 20 - 39. Let d = v + a. What is d rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 1110656.\nAnswer: 9995904","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -17411\/4212 - -542\/81. Let q = 21\/26 - r. Let a = -179 - -184. What is the smallest value in 4\/5, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 + p**2 - 4*p - 1. Let h be w(-3). Let a = 61 + h. Solve 0*o + 3*o = a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -3\/7*t**2 + 2\/21*t**3 + 0*t - 5. Let y(c) = 0. What is c?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 21*p + 11. Give r(-4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**24\/o**(-12))\/((o*o**(2\/101))\/(o*o**(-2)*o)) assuming o is positive.\nAnswer: o**(3533\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i - 4. Let l(q) = -225*q - 130. Let b(f) = -195*a(f) + 6*l(f). Let c(z) = 4*z**2. Calculate b(c(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*q - 20 = 57*q. Let j = -0.18 + -0.02. Which is the third smallest value? (a) q (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 3*x - 4 + 2 + 0*x**3. What is the units digit of i(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(208) + ((sqrt(208) + -2*sqrt(208))*3)**2) + (sqrt(208)*3*6 - (sqrt(208) - (sqrt(208) + 0)**2*1)).\nAnswer: -11042 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 5*c. Let b be k(-8). Calculate the highest common divisor of 48 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**2 + 12*o**2 - 24*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:43 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-10 + (47 - 7) - -21)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26666 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, -194, -322?\n\"Answer: -128*o + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.1 (c) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 487*r - 76453. Determine h(157).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w**2 + 3*w**2 - 9*w**2 + (1 - 3*w - 1)*(1 - 1 + 2*w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983794149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-8)*1 - (-978)\/24 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxx when three letters picked without replacement from {u: 1, x: 3, l: 2, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -2*r**2 - 6*r - 1414. Give m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 - 2*p - 1. Let w be t(-2). Suppose 15 + 4 = w*f - n, 5*f = 2*n + 30. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -2816422\nAnswer: 844926.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-12)\/g))\/g*g*g**(2\/3))**(-18) assuming g is positive.\nAnswer: g**(-246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13350195 a multiple of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -134*s**3*y**2 - 499*s**3*y + s**3 - 7*s**2*y + 6*s*y + 737*y**2 + 1 wrt y?\nAnswer: -268*s**3 + 1474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 206*a - 823. Let s be v(4). What is the nearest to s in -5, -31, 2\/19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 + 5*s + 11. Let m(h) = -10 + 506*h**2 + 15*h - 502*h**2 - h**3 - 19*h. What is -5*m(p) - 4*q(p)?\nAnswer: p**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 5*c**2 - 3*c + 11. What is y(6)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 36288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 - -121. Put -5, t, -1\/3, 0 in decreasing order.\nAnswer: t, 0, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 8) to base 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, -8, 3 in increasing order.\nAnswer: -137, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 8*u**2 + 4*u + 26. What is z(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 0*r**2 - r**2 + (3*r - 2*r - 3*r + (0 - 2 + 0)*(2 - 2 - 2*r) + 122*r + 271*r - 799*r)*(0*r + 4*r - 5*r).\nAnswer: 405*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 3c?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0 + 0)*(-7*g + 2*g + 3*g) - 58*g + 58*g - 23*g**2 - 1 + 1 - g**2.\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2256 and 211688.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulxxxuxllxllxxpvl. Give prob of sequence lp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 22*v**2 - 12*v + 2. List the prime factors of t(3).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40510077901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 4*l. Let m be b(4). Suppose m = 2*z - 267 - 649. Let t = z - 301. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 - ((-2)\/(-14))\/(335\/(-4690)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4365077 is divided by 4365075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 6*x - 4*f + 115, 3*x - 207982*f = -207985*f + 81 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 64 - 30 = 0. Let h = -37 + o. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 51. Let a(w) = 5*w + 3. Determine a(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 435407977*y + 1214317595 with respect to y.\nAnswer: 435407977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*h + 3*z, 3*h + 2*z = -3*z + 39. Let t = -8 - -11. Suppose t*u - 14 = -h. Which is bigger: -0.13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20068 and 2865?\nAnswer: 57494820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/50 + 7\/(42\/(-111)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1765414181+138541\nAnswer: -1765275640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11028395 divided by 5\nAnswer: -2205679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*z + 5 = -0*a, 0 = -5*a - 4*z + 22. Suppose -4199980 = -a*m - 5*p - 0*p, 8399996 = 4*m + p. What is m rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4101*k - 30531*k**2 - 19*k**3 + 61013*k**2 - 30545*k**2 wrt k?\nAnswer: -114*k - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3345 + -3325. Solve 8 = 28*c - p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -759, -735, -699, -657, -615, -579?\n\"Answer: -v**3 + 12*v**2 - 5*v - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -40. Let m(y) = 15*y - z*y + 14*y - 10. Let x be m(-6). Which is the closest to 0.2? (a) -2\/7 (b) x (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 961 + -961. Let q(v) be the third derivative of 1\/420*v**7 + i + 0*v + 1\/12*v**4 + 1\/60*v**6 - 8*v**2 + 1\/20*v**5 + 1\/12*v**3. Factor q(w).\nAnswer: (w + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*4*5*(sqrt(110) - (6*(sqrt(110) + (2*sqrt(110) - sqrt(110))) - sqrt(110)))\/sqrt(10).\nAnswer: 3 + 800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**7\/14 - d**5\/10 + 14*d**2. Find the third derivative of w(p) wrt p.\nAnswer: -360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c - 2. Let a(r) = -6*r**3 - 12*r**2 + 18*r + 3. Let p(k) = -a(k) + 4*h(k). Determine p(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70016 (base 9) to base 10\nAnswer: 45942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 64969822980 - 64969822980.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (281 + 100 + 219)*((1 + 0 + 0)*(-1 - 1 + 0) - 2 + 2 + 1)*(5 + 2*d - 5 + (-4*d + 0*d + 3*d)*(-3 + 0 - 3) - 2*d - 2 + 2) as k + i*d and give i.\nAnswer: -3600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/2241694 and 36\/91?\nAnswer: 2241694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*j + 15*j + 756912 = 0. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 11) to base 16\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 o when four letters picked without replacement from nmoxomooxommxommm.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 3*b + 12, 126*b = 3*o + 119*b - 28 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v**2 - 12*v - 146. Let j(g) = 17*g**2 + 23*g + 291. Let z(i) = 3*j(i) + 5*x(i). What is the derivative of z(o) wrt o?\nAnswer: 2*o + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/18863690 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.072946151 + 0.072976. What is c rounded to 7 decimal places?\nAnswer: 0.0000298","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4587, -17834, -39911, -70818, -110555?\n\"Answer: -4415*z**2 - 2*z - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8289 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-6)\/4))\/(20\/(-6))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/8)\/o**(-18))\/(o**(-4\/3))**(-5\/9) assuming o is positive.\nAnswer: o**(3809\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*k - 28, -4*n + 5*k - 2 = 2. Suppose -3*i + 2*g + 3*g = -17, -n*i - 2*g - 12 = 0. Does 7 divide -4*(-2 + i\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b4b7cb6 + 0?\nAnswer: -3b4b7cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 4, -1.44, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*i = 140. Does 3 divide 75\/1 + i + -19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1\/2, -134.2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*l*q**5 - 8578*l*q**3 - 3*l*q**2 - 1972*l*q - 137*q**2 wrt q?\nAnswer: -7980*l*q**2 - 51468*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a century?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1380 - 1380 - 45*t**2)*(-44*t + 17*t + 6*t) as o*t**3 + l*t + g + n*t**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -751*s + 3 + 60*s**2 - 5 - 59*s**2 - 1202*s + 2.\nAnswer: s**2 - 1953*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 9*n + 6. Let l = 18 - 25. Let m be v(l). Calculate the highest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1418, 71, 0 in decreasing order.\nAnswer: 1418, 71, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 336 = 4*c, c - 257 + 908 = 4*d. Does 27 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/304612 and 113\/2838.\nAnswer: 913836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 778.\nAnswer: -778.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/10 + -2 + 226884\/365. Which is smaller: k or 622?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**4 + 23*g**3 + 137*g.\nAnswer: -36*g**2 + 138*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*j = 17, 7*g - 17*j = -18*j - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-three fifths of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0 - 9\/14*b**2 + 1\/7*b**3 + 1\/28*b**4 + 15*b. Factor y(a).\nAnswer: 3*(a - 1)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 2:39 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -47*k + 2310. Give z(52).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(132) + sqrt(132) + (sqrt(132) - (((1*sqrt(132) - sqrt(132))*-1 - sqrt(132)) + sqrt(132) - sqrt(132)))))\/(-4*sqrt(108) - 1*sqrt(48))*4.\nAnswer: -40*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 6*q**2 - q - 4. Let y be x(-6). Let d(m) = m**y - 11 + 3 + 7 - 2*m. Let a(r) = -r**2 - 6*r - 5. Let t be a(-4). What is d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**3\/3 - 3*t**2\/2 + 4*t. What are the prime factors of c(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:09 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 2021?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -1 (c) -2397\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + s - 3 = 1, -3*b - 19 = 5*s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -168\/499 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a0 (base 11) to base 6.\nAnswer: -1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*(-3)\/(-54)*-3. Let h(v) be the first derivative of -d*v**2 + 0*v - 1. Let w(n) = -n. What is w(h(f))?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8408, -8426, -8468, -8546, -8672, -8858, -9116, -9458?\n\"Answer: -2*x**3 - 4*x - 8402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*1\/44*1204\/(-903)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 7 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/1 + ((-2)\/(-1) - 1) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o + 33. Calculate s(15).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/30 + 13*u**4\/6 - 70*u**3\/3 + 11*u**2. Differentiate s(m) wrt m.\nAnswer: 4*m + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/16)\/(53\/(-2544)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 318 and 18.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 + 44904*z - 168030768 = 0.\nAnswer: 7484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239529*q**3 + 192801*q?\nAnswer: 1437174*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.08063, 2, -11?\nAnswer: -0.08063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 20 = -36 - 87 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 0*x + 3*x + 2*x**3)*(-2 - 3 + 4)*(-9*x - 4*x + 2*x) - 2*x**4 - 2*x**4 + 10*x**4.\nAnswer: 17*x**4 + 33*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -15\/11461 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6384)\/(-384) + 18\/48.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from yiinniiiiiinssinnn.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 108132485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107905 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3527699493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -590*g**2 + 1 - g + 193*g**2 - 114*g**3 + 198*g**2 + 197*g**2 to z*g**3 + k*g + o*g**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -446*h + 22736. Give k(51).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 9*a + 5. Let z be h(9). Suppose z*u = -5, -3*v + 472 + 1560 = 5*u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4459435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - q**2 + 1. Let h be b(-1). Let n(m) = -1 + h*m**3 - 3*m**3 - 4*m**2 - 1. Calculate n(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*(sqrt(2) + 0))**2 - (5 + (sqrt(162) - (sqrt(162) - sqrt(162)*2))**2 - sqrt(162))) + -3.\nAnswer: -800 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, f: 1, n: 4, y: 1, w: 2, e: 3}. Give prob of sequence wyf.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 199*h + 126*h - 205*h + 228 - h**2 + 4*h**2 = 0.\nAnswer: -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-6) - 1672152\/(-831744).\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1512*v**2 + 128*v + 7. What is the hundreds digit of z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25012 (base 11) to base 15.\nAnswer: -a9ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 9*n**2 + 8*n - 11. Suppose -22*i - 284 = -108. Give w(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (137 - 129 - (4 + -32))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-14 - (-6)\/(-2)). Let b = i - -16. Which is greater: b or -3\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l. Let d(c) = -260*c**2. What is r(d(x))?\nAnswer: -780*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2442*q - 2388*q = 0. Which is smaller: q or -19\/39?\nAnswer: -19\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134 - 4*d**2 + 222*d - 215*d + 6*d**2 + d**2 - d**2 to p*d + j + z*d**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/979 and -139\/29904.\nAnswer: 328944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 - -17) + 1\/(-1). Suppose 4*f = a*y + 114 + 292, -5*f - 3*y = -491. Calculate the highest common divisor of f and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -t + 29, -a - 2*a = -5*t + 91. Let c = t + -38. What is the units digit of (-277)\/(-3) - 3*4\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(5\/6235*-29).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*141588.\nAnswer: -1699056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15398 - -14873. What is the third smallest value in 2\/9, -2\/7, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) -315 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457?\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -161*s + 1209?\nAnswer: -161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1254\/131? (a) -0.02 (b) 3\/14 (c) 0.2 (d) 0.1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 7. Suppose 0 = -k*j + 3*j. Let h(t) = -t - 4. Let i be h(-7). Solve 6 = -i*q - j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 246*n + 7. Let l(v) = 737*v + 18. Calculate 3*l(x) - 8*z(x).\nAnswer: 243*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 284681*w**3 - 284713*w**3 - 2*w**2.\nAnswer: -32*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1258606.\nAnswer: -629303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q + 3*q)*(3*q - 2*q - 3*q) + (2*q - 3*q - q)*(15 + 60 - 48*q + 47*q).\nAnswer: -2*q**2 - 150*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*q - 4*s - 16, 2*s + 56 = -5*q. Let m be (14\/(-6))\/(2\/(-10) - 0). Let j = q + m. What is the fourth biggest value in -2\/3, 0, 3, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 + 66*f**2 + 23*f + 1034. Determine h(-33).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*m**3 + 8018222*m**2 - 80137*m - 7.\nAnswer: -36*m + 16036444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 289 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7487.99935278 + -7488. 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: Suppose -4*h = 4*o - 81 - 19, 0 = -o + 4*h + 45. What is the remainder when o is divided by 1 + 6 - 42\/((-70)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/22 + 0 - (-15808)\/1144. Solve s - 3*r = r - p, -3*s + 4*r - 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.09 (b) -3.7 (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 2*m - m**2 - 11*m + 11. Let x be 3\/((-13)\/8 - -2). Let z be c(x). Solve 0 = -2*r + 2*h, h = -r - z*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45175*b - 5*h = 45178*b + 16, 28*h - 17 = 11*h for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(18) - (sqrt(162) + 1).\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 7 = -2*l + 4*n, -4 = -4*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21225520 divided by 4245104\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15228381 to the power of 1\/2, to the nearest integer?\nAnswer: 3902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.279615 take away 14482.47?\nAnswer: -14495.749615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6360 and 1749.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + (0 - 1) + 14 - (-7 + 15)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8527200447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 93215.29 hours in microseconds?\nAnswer: 335575044000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let a be (12\/(-20))\/(2\/(-10)). Suppose u*r - a = 5. Solve 3*b = r*b - 2*v, 0 = 3*b - 2*v - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1153157 or 1153159?\nAnswer: 1153159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 139091186, 139091185, 139091184, 139091183?\n\"Answer: -y + 139091187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 101780*u**3 - 516939620*u**2 + 10369346400*u - 51897672000.\nAnswer: -5*(u - 10)**2*(u + 10188)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*l + 4*h, 3*l - 12*h = -9*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 16. Let o be (-164)\/40 + (9 - (-2492)\/(-280)). Which is the closest to -2\/5? (a) m (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16359707 a multiple of 1199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 57*h**5 + 487*h + 173. Differentiate f(q) with respect to q.\nAnswer: 1140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*(-5)\/(-10) + 4. Let b be 6 + 1020\/(-175) + 4\/c. What is f in 6\/7*f**2 - b + 10\/7*f = 0?\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33591542 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-4))\/(-5) + 203\/14. Let v be 34*(63\/w - 4). Solve -16*q - 2 = -v*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70835881.33 rounded to the nearest 100000?\nAnswer: -70800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p - 15 = 0. Suppose 319 = 5*y - p*r - 411, y + 4*r - 123 = 0. Let t = y - 99. Are t and 44 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1500 divided by -1.\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {d: 3, e: 1, u: 2, a: 3, k: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1143, -386, 4 in ascending order.\nAnswer: -386, 4, 7, 1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 40.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 602976 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35125 = 2*b + 5*a - 35172, -2*b - 3*a + 41 = 0 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180\/11 + 170\/11. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -298276907\/3 smaller than -99425637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaa when three letters picked without replacement from {e: 2, x: 1, a: 2, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -593 - -369. Let m = k - -222.6. What is the third biggest value in m, -3\/5, -0.8, -0.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 10*p**2 + 10*p - 3. Calculate c(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tth when three letters picked without replacement from lhjtjlhtjjt.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-7))**34 assuming p is positive.\nAnswer: p**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7350)\/(-8575)*((-3)\/6)\/((-2)\/(-56))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-109367\nAnswer: -21873.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.2905m in micrometers?\nAnswer: 153290500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*(-56)\/10)\/((-10)\/100). Let a be 3\/(-5) + c\/140. Put a, -3, 7 in increasing order.\nAnswer: -3, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00379840805 to five decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120 + -108. Which is greater: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15780 and 60?\nAnswer: 15780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*l + 2\/3*l**2 - 2\/3 - 4\/3*l**3 = 0. What is l?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - i + 9. Let v(k) = 4*k**2 + 8. Determine 5*r(g) - 6*v(g).\nAnswer: g**2 - 5*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -10445 (b) 4 (c) 0.5 (d) -10 (e) 0 (f) 1 (g) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 - 173*m - 5. Calculate p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + 1*sqrt(1377)) + ((sqrt(612)*-2)\/sqrt(12))\/sqrt(3).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 47054.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2288 and 182509536?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 18 = 2*h. Let s be 62\/22 - h\/(-99). Suppose v - s*v + 24 = 0. Solve -i - 3*i = -v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13779 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115 and 974901.\nAnswer: 4874505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {g: 1, s: 1, i: 1, z: 2, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -6, -2\/21, -62, 5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001592 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 4 + 4)*(188 - 7 - 62)*(-u - u + 3*u).\nAnswer: 476*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12.974*743\nAnswer: 9639.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 12:23 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 + -1.1000016. What is o rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r*u**3 + 51468954*r*u**2 + 390689829*u**3 wrt u.\nAnswer: -12*r + 2344138974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 - 117456*s\/5 - 7996256\/5.\nAnswer: 2*(s - 58796)*(s + 68)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2099685 is divided by 1049812.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 65047641.7 to the nearest ten thousand.\nAnswer: 65050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1401 - -2104?\nAnswer: 4010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47937795541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - -68. Let d = -101 + o. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 11000?\nAnswer: -11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14*f + 2. Let d(w) = 336*w - 49. Determine 2*d(n) + 49*i(n).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 20*g - 634. Let j be k(-37). Suppose 3*y - 2*p = 11, -2*p - 9 = 2*y - 3*y. Which is the closest to y? (a) -0.4 (b) j (c) -1\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/2390060 and 15\/113049838.\nAnswer: 1130498380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = t + 92. Suppose -2*y = -6*y + 60. Calculate the remainder when t is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4 + 12. Let l = x + -7. Is -3\/37 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*t + 2*x - 96, -4*t + 1451*x + 67 = 1454*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57910 is divided by 10941?\nAnswer: 3205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.5 (c) -4\/3 (d) 5 (e) 144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*c - 29*c - 39*c - 10 + 10 - 10*c + (c - 4*c + 5*c)*(0 - 1 + 3) + c + 3*c - 6*c in the form i + t*c and give t.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 36 = g, -4*g + 7 = 4*p - 41. Suppose -6*n = -2*n - p. Suppose -c = n*t - 9, -t = -2*c - 4*t + 16. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10*h**2. Let j(k) = k - 2. Let g(q) = -q + 3. Let z(y) = 2*g(y) + 3*j(y). Give b(z(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -340\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 127, 0, 27, 2, 4, -5 in decreasing order.\nAnswer: 127, 27, 4, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53151, 50685, 48217, 45747, 43275?\n\"Answer: -u**2 - 2463*u + 55615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 9*i + 5. Let c(r) = r**2 + 9*r + 8. Let s be c(-6). Let z be h(s). Sort z, -1, -0.5 in ascending order.\nAnswer: z, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2041678862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven fifths of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -1\/15*x**6 + 0*x**5 + 6*x + 0*x**4 - 1\/2*x**2 + 0*x**3 + 0. Differentiate i(n) wrt n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3242 - 3239. What is the closest to -16 in -9, 0, w?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 6*k - 7. Suppose -165 + 27 = -23*w. Calculate h(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -154 (c) 3 (d) 0.1 (e) 4 (f) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(495)*-5)\/((sqrt(22)\/sqrt(18) - sqrt(11)) + (sqrt(11) - 6*(sqrt(11) + sqrt(275)))).\nAnswer: -90*sqrt(5)\/107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.3, -536.319?\nAnswer: -536.319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*t**2 - 9*c**3 - 198*c**2*t**3 - 2*c**2*t + 10*t wrt t.\nAnswer: 4*c**3 - 1188*c**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/27192 and -23\/5280?\nAnswer: 543840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 0*d**2 - 7*d**2 + 0*d**2 - 3*d**2. Let n(j) = j**2. Let y(p) = -p**3 - 2*p**2 + 2*p. Let o be y(-3). Suppose 2 = -o*b - 4. Give b*t(w) - 18*n(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 4*a - 2500894 = -2500838, 0 = 2*o + 4*a - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 60873021410+-502\nAnswer: 60873020908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 140.45915\nAnswer: -14.045915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 174 - -389?\nAnswer: 50d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29734036.\nAnswer: 2, 7433509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/60 - n**4\/8 - 11*n**3\/6 + 2614*n**2. What is o(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*(-28)\/(-21). What is the second biggest value in 1\/4, u, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*t - 6*t + 37*t)*(-49*t**3 + 207*t**3 + 39*t**3) to the form k*t**3 + h*t + q*t**2 + b + m*t**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-63))\/(3*(-6)\/(-162))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4040 is divided by 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. What is the third derivative of 0*s**3 - 4*s**4 - 5*s**2 + 3*s**k + 0*s**3 wrt s?\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 76, 82, 38, -74, -272?\n\"Answer: -3*p**3 + 2*p**2 + 53*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/5 + 9\/10. Determine m, given that -x*m**2 - 1\/2 + m = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v + 130. Round v to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhnheekehkken. What is prob of picking 1 e, 2 n, and 1 k?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 69*m + 3. Let r be f(-69). Solve 5*o = r*p - 11 - 2, -3*o - 5 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3359411920936 plus -1?\nAnswer: -3359411920937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -55129.9065 to the nearest one thousand.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367 divided by 439?\nAnswer: -1367\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45178)\/1844)\/(21\/(-54))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9822.53*-42\nAnswer: 412546.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4.5. Let k be 2\/(-5)*1309\/34*20\/(-28). Which is the biggest value? (a) o (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*j + 10*j. Does 45 divide 2704\/12 - j\/(-18)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*v + 30, 2*h = -640*v + 639*v - 0*h + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:24 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 1110*x**3 + 43375*x**2 + 140250*x.\nAnswer: 5*x*(x - 170)*(x - 55)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 3)*(7 + 2 - 3)*(-4*s + s + s)*(-3 + 3 - 2*s)*(17 - 18 - 57) to g*s**2 + n + p*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22746145266.6 plus 0.1?\nAnswer: 22746145266.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 514669967*r**5 + 5131525*r + 9?\nAnswer: 10293399340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 5*a - 10, a - 10 = 4*d - 2*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/120 + j**5\/30 + j**4\/6 + j**3\/3 - j**2. Suppose -14 = -7*k - 49. Let n be 1\/(-2)*-6 + k. Determine l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -17367*s**2. Let a(m) = 7*m. What is z(a(r))?\nAnswer: -850983*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4212059*w**2 - 3 + 3 - 4212058*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0782899794 rounded to six dps?\nAnswer: -0.07829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*w - 7167 = -1808 + 8438 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (55073\/(-30))\/((-13)\/39). Let q = -5513 + i. Calculate the common denominator of q and 99\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 40*c - 3.\nAnswer: 40*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 2\/7 (c) 2 (d) 5 (e) -1.79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/25542 and -64\/2226411.\nAnswer: 13358466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.661084 hours in nanoseconds?\nAnswer: 23979902400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 11, -6, 1, -16, 2 in decreasing order.\nAnswer: 17, 11, 2, 1, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -11*o + 127. What is the tens digit of g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/60*(-8)\/3 and (-94)\/44 + 24\/16.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 15.2. Let r be 1 + 2 - (-5 - -8). Suppose r = 3*j + 7 - 19. Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4977*b - 64976. Give d(13).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4543, -11626, -18709, -25792, -32875?\nAnswer: -39958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 229895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n = -27*n + 62*n - 160 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*t = 0, 0 = 8*w - 7*w - 14*t + 51 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-3))\/((-21)\/63). Let v = -10 + 12. Solve -16 = 4*y + 3*d, -v*d + i*d = -20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 114*f + 80*f + 4*f**3.\nAnswer: f**3 + 194*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*g + 284*g + 10503*g**2 - 96*g - 95*g.\nAnswer: 10503*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-52))\/((-23)\/(-1242)*27).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 5, 0.1, -24.\nAnswer: -24, -1\/13, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 5. Suppose 8*g - 86 - 690 = 0. Suppose 0 = -6*y + g - 139. What is v(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -181 equal to -182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2346, 7694, 16610, 29100, 45170, 64826, 88074?\nAnswer: 114920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*o, -3*j + 3*o + 3 + 3 = 0. Suppose 0 = j*f - 5 - 3. Suppose 0*m + f*g + 4 = 5*m, -5*g = 10. Solve -5*q - 5 = 4*b - b, m = -5*b - 2*q - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h**(-1\/26)*h))))\/h**(-7\/4)*(h*h**(2\/3))**(-3\/17) assuming h is positive.\nAnswer: h**(1321\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -3 (c) -62390 (d) 3 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*1*3\/(-3). Let i(k) = -2*k**3 + k**2 + k. Let b be i(y). Suppose 0*u = -u + b. Solve 4*d - 17 = 2*l + 7, 0 = -u*d + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (51\/6 - 10)\/((-6)\/16). Suppose -o + 42600001 = -x, -9*x - z*o = -12*x - 127800004. Round x to the nearest one million.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3326, -3800, -5106, -7664, -11894, -18216, -27050?\n\"Answer: -70*c**3 + 4*c**2 + 4*c - 3264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 + 654 = 76*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(60)\/sqrt(2) + sqrt(30))\/sqrt(5)*-3)\/(sqrt(8)\/(-3*((sqrt(4) - -2*sqrt(4)) + sqrt(4))))*5)**2.\nAnswer: -1944000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*y - 36 = -2*c, 3*c - 100 = 2*y. Let q = 38 + c. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 265 - 249. Sort 1, -0.3, 2, t in increasing order.\nAnswer: -0.3, 1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3*h + h = 0, q - 534*h - 8 = -537*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 - 27. Let s(h) be the second derivative of -5*h**4\/12 + 14*h**2 + 1680*h. What is -7*n(l) - 6*s(l)?\nAnswer: 2*l**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 12:02 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1907 = -5*y, -4*y + 1232 = t - 295. Let z = -2665\/7 + y. Factor -6\/7 - 3\/7*x + z*x**2.\nAnswer: 3*(x - 1)*(3*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011365 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1772*c - 1371 - 1368*c - 3760*c - 5795*c wrt c?\nAnswer: -12695","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 9, 3*n - 5*n - t + 13 = 0. Let j(u) = -u**3 + 5*u**2 + 5. Let d be j(n). Is d equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-19\/5)\/y)**(-12\/5)*(((y*y\/y**(-49))\/y*y)\/y*y)\/(y*y\/(y*y**(7\/4)*y)) assuming y is positive.\nAnswer: y**(6187\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102888668.\nAnswer: 2, 1583, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/12 (b) -0.3 (c) -0.1 (d) 26 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147930?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 14469*g - 144390.\nAnswer: -3*(g - 4813)*(g - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23128 is divided by 1101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2502 * 5036.\nAnswer: 1260.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 25, 2*y - 11 = m - 0. Suppose y*q = 10*q + 42. Sort 5, 0, q, -3.\nAnswer: q, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66890164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5\/2 + 9*i**4\/2 - 3*i**3\/2 - 21*i**2\/2 + 6 = 0 for i.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -76235817 take away 0.06?\nAnswer: -76235817.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*((-12)\/8 + 1 + 0). Suppose 0 = h + 3*g - 3, 0 = -h - 2*g + 6 - 1. What is the highest common divisor of h and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.787 - -7.757. Let c = 0.03 + g. Which is smaller: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 246 - 375. Let f = z - -126. Which is the closest to -6? (a) 0.3 (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 9*r + 4. Let b be l(-4). Suppose o - 3*o + 22 = b. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -131*k - 2. Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppbppppnbpbpppbbp. Give prob of sequence bbp.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7084362 to the power of 1\/2, to the nearest integer?\nAnswer: 2662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43158 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + b**2 + 3*b**2)*(-b + b - 2*b) - 7330*b**3 + 915*b**3 - 115*b**3 in the form h*b**2 + q + f*b**3 + a*b and give f.\nAnswer: -6536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 14\/11, 7, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x + 7730 = -5*l, 5*l - 2*x = -7739. Let j = 2288 + l. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 32*y + 2. Let w be s(16). Suppose 0 = -p + w*n + 1631, -2*p - 2*n - 3252 = -4*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*d**3 + 2 - 2 + 104*d**3.\nAnswer: -79*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -391 less than -1175\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5104.2 + -5104. Let q = -15 + 15. Which is the fourth smallest value? (a) 2 (b) 11 (c) q (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 > 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 27421?\nAnswer: 27433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9 - (0 + 13\/(-3)). What is the smallest common multiple of ((-16)\/(-6))\/(-1*g\/(-6)) and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103102 + 0?\nAnswer: 1103102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/185, 3\/2, -5, 0.4 in ascending order.\nAnswer: -5, 2\/185, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2319*g - 12187. Give u(4).\nAnswer: -2911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2889758.678 - -2894259. Let l = 4495 - i. What is l rounded to one dp?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 3:39 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1688\/7 or 242?\nAnswer: 1688\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 315522679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9) - (-141*3\/63)\/36?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1900))*4.\nAnswer: -4 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-213931)\/(-5) - (-4 - 672\/(-210))?\nAnswer: 42787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 9*o**2 + 1. Let s be (9\/(-6))\/((-2)\/12). Let g be x(s). Which is the second biggest value? (a) 0 (b) g (c) -5 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -3, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -438 - -671. Round o to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/5))**43)**(-17)\/(l**(-3)\/((l**5\/l)\/l))**(-32) assuming l is positive.\nAnswer: l**(-6077\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-3))\/((-8)\/12). Let i = f - 4. Suppose -6 = n - i. Is -5 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h*h*(h**(-5)\/h)\/h*h))\/(h\/((h**(-1\/4)*h)\/h)) assuming h is positive.\nAnswer: h**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.6 - -10.6. What is the second biggest value in 4\/7, -6\/11, h, -11.1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = j + 5*s, -19*j + 22*j + 4*s - 7 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0437603 + -334515?\nAnswer: -334514.9562397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 178 = 2*r, z + 6*r = 11*r + 17. Suppose n - z = -2*j, 37*j - 41*j = -3*n + 166. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) - sqrt(18))\/sqrt(9)*-2)**2 - (sqrt(162)\/sqrt(9) + sqrt(20)\/(sqrt(10)*-1))) + (sqrt(2304)*2)\/(5*sqrt(128)).\nAnswer: -4*sqrt(2)\/5 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 8*q**2 + q - 10. Let h(f) = -3*f**3 - 24*f**2 - 4*f + 31. Let r(y) = 4*h(y) + 14*l(y). Factor r(o).\nAnswer: 2*(o - 1)*(o + 1)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 61, 98, 139, 178?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 542 - (10\/10 - -2). Suppose 10 = 2*c - 0*c. Suppose n + 428 = 5*n - 4*p, -2*p = c*n - k. What are the prime factors of n?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -76*l - 1380. Determine i(-25).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) -9 (c) -598 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74\/9 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605) + sqrt(605) + 1*sqrt(605)*1 + sqrt(605) - sqrt(605))\/(sqrt(11) - sqrt(1100)*1))\/(-2*sqrt(99)*1*-4))**2.\nAnswer: 5\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -3. Calculate the remainder when 6 is divided by (-24)\/18*m\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*z + 28*z - 125. Let d(q) = q**2 - z*q + 11*q + 10*q + 1 + 4. Calculate d(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 32 + 3 + -37 + 5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 1, e: 6, y: 1, d: 5, u: 2}. What is prob of picking 1 u, 2 d, and 1 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 852446816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 11*f - 5. Let g(z) = -11*z - 133. Let y be g(-13). What is t(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:51 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2402988 - -1300531. Let w = g - -717457. What is w rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28918*k**3\/5 + 2*k**2\/5.\nAnswer: -2*k**2*(14459*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -307 - -330. Solve 32 - s = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -220, -1422, -4678, -11014, -21456, -37030, -58762?\n\"Answer: -171*d**3 - d**2 - 2*d - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftf when three letters picked without replacement from {u: 6, t: 3, f: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 1 + sqrt(11))**2 + 2.\nAnswer: 12*sqrt(11) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5041 and 5909898.\nAnswer: 419602758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 38. Suppose 2*x + 1 = -2*m + 25, 0 = m + 2. What is the smallest common multiple of x and (a\/(5\/60))\/(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*l**4\/5 + 49*l**3\/5 + 484*l**2\/5 + 404*l\/5 + 48\/5 = 0. Calculate l.\nAnswer: -2, -6\/7, -1\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y - 13. What is p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 117 + 31 = 2*w, 5*w = -f + 72. Is 34 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8204143 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 121*g**4\/12 + 7*g**3\/2 - 30*g**2 + 3*g. Find the first derivative of t(p) wrt p.\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 4 = 14*y - 73. Let z(p) = p + 6. Let m(k) = -3*k - 11. Let d(j) = j**2 + 4*j + 6. Let g be d(-5). Determine g*z(t) + y*m(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1162065, 2324142, 3486219, 4648296?\n\"Answer: 1162077*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28134)\/1563*(-33)\/(-18).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m = 357 + 11 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -41696?\nAnswer: -41695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198 + 285. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19025028, -19025042, -19025064, -19025094?\n\"Answer: -4*p**2 - 2*p - 19025022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/86 - 177\/430. Let n(s) = -2*s - 21. Let i be n(-13). What is the third biggest value in y, i, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 99450 = -130*w + 372*w + 1022*w for w.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((((t*(((t**5*t)\/t)\/t)\/t)\/t)\/t)\/t))*t**3)**(-3\/7))**29 assuming t is positive.\nAnswer: t**(-348\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/581, 2, -0.2 in ascending order.\nAnswer: -0.2, -3\/581, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5606, 6688, 7800, 8942, 10114, 11316, 12548?\n\"Answer: 15*n**2 + 1037*n + 4554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 4 - o + o - 3*o - 18.\nAnswer: 10*o - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 + 28 = 3*z, 5*t - 46 = -3*z. Let u be 9\/4 + 5\/(-20). Suppose -u*b = -z*b + 320000. Round b to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478679848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 33 = -30*j - 6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:40 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 7*d**2 + 1 - 5 + 4. Let s be m(-2). Let z be (-1 - -2)\/((-4)\/(-24)). Calculate the highest common factor of s and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*h = -19459 + 51769 + 34998 for h.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*d + 14*d = -h + 91, 0 = 246*d - 245*d - 2*h + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1234597847 to the nearest integer?\nAnswer: 35137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323100012 (base 4) in base 16?\nAnswer: 7b406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v + 16*v = -16*v - 16*v - 1334 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*m - 20 = -62, -5*y = 2*m - 44. Suppose -84 = -y*s + 216. What is the lowest common multiple of 55 and s?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - -2 - -13 - 7. Let t(i) be the third derivative of 1\/24*i**4 + 5\/6*i**3 + 0 - 3*i**2 + f*i. Calculate t(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 30*y + 346. Let f be n(-10). Calculate the greatest common divisor of 1242 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 96470258*v - 48235128.\nAnswer: -2*(v - 24117564)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4b7 (base 16) to base 6\nAnswer: 5331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*c - 3 = 0, 1 = 5*f - 2*c. What are the prime factors of -45*(f + 84\/(-35))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3543, 26817, 89997, 213039, 415899, 718533, 1140897, 1702947?\n\"Answer: 3326*g**3 - 3*g**2 + g + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*a + 680, -5*w - 2*a - 1160 = -0*w. Let i = w + 370. Suppose 36 = y - k - 0*k, i = 5*y + 5*k. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*o + 30 = 0, 5*k + 2*o = -2 + 35. Let s(f) = -3 - 10*f**2 + k*f + 8*f**2 - 2*f. Let g(a) = a**2 - 2*a + 2. Calculate -4*g(n) - 3*s(n).\nAnswer: 2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (2\/(-2) - 6))*(-3)\/105?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0128 + 101.9472. Let a = n + 2.64. Round a to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6066195?\nAnswer: 3, 5, 17, 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 2073*k - 18414.\nAnswer: -3*(k + 9)*(k + 682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28, 20, 146, 386, 776, 1352, 2150, 3206?\n\"Answer: 6*z**3 + 3*z**2 - 3*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkhqhijkrhiqi. What is prob of sequence jh?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttxt when four letters picked without replacement from xxxtrxrxt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from woormwur?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 5*g - 4. Let t be w(4). Solve -4*s = -t*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*m + 4*m + 1 = 0, z + 5*m - 29 = 0. Let l = 9 - z. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g + 18*g + 23 + g - 7*g. What is the tens digit of n(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w + 166 - 166)*(-3 + 5 - 1)*(0 + 0 + 3).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1172297 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 41615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161161?\nAnswer: 7, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 16*x**2 - 38*x - 108. What is the remainder when 1919 is divided by i(-14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 10:10 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a2 + -42?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 + 11282468*w**2\/7 - 2273115093022*w + 127293723132304\/7.\nAnswer: -2*(w - 2820613)**2*(w - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(y**2 + y**2 - 4*y**2) - 5*y**2 + 3*y**2 + 0*y**2 - 30*y**2 + 130 - 130 + (-y**2 - 7*y**2 + 2*y**2)*(-2 + 6 - 2).\nAnswer: -46*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 192.\nAnswer: 191.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -550, -567, -588, -607, -618, -615, -592, -543?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132 + 281. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 2*h + 6*h + (-2*h + 2*h + 2*h)*(-2 + 3 - 2) - 111 + 10*h + 111 + (0*h + h + h)*(2 + 2 - 6).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -6 + (-4 - -18 - 10) + 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -117, -181, -245, -309, -373?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 3*l = -9, 2*l - 4 = 0. Solve 0 = -r*d + 13 + 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 658, 1009, 1468, 2035, 2710, 3493?\n\"Answer: 54*m**2 + 189*m + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 7. What is u(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6064, -6066, -6068, -6070?\nAnswer: -6072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53636 or -53629?\nAnswer: -53636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 78.066. What is c rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**5\/4 + 57*x**4\/4 + 171*x**3\/2 + 168*x**2 + 96*x = 0.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) 1\/5 (c) 2\/9 (d) 0.4 (e) 610\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -2 - (-3 + -14 + -4) - -59) + 9?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*k + 143*k + 236*k - k + k - 2*k + (-1 - 1 + 1)*(0 + 2*k + 0) - 2*k - 1 + 1 - k - 4*k + 2*k.\nAnswer: 390*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by 112\nAnswer: 95\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -132. What is the highest common divisor of a and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1352995 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 4*k**2 + 4. Let u be x(4). What is the third derivative of 4*c**2 + 8*c**u - 4*c**2 - 9*c**2 + 5*c**4 wrt c?\nAnswer: 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by (4 - 2)*(-65)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 163*i**4 - 622*i**4 - 921*i**4 + (-1 + 1 - 3*i**2)*(-2 + 2 - 2*i**2).\nAnswer: -1374*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/12309 and 77\/2984.\nAnswer: 98472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = w + 4. Let o(h) = h + 10. Let k be o(w). Find the third derivative of 0*n**4 + 4*n**2 - n**4 - k*n**2 wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, 1\/1853 in ascending order.\nAnswer: 1\/1853, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 1 + 5. Let b = f - 3. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 - 2*n - 3. Calculate q(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4272 - -6976. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4278 at most -4279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxzxxxx. Give prob of sequence xx.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -1\/3*h**3 + 149*h**2 - 222 - 9\/4*h**4 + 0*h - 3\/5*h**5. What is the third derivative of m(w) wrt w?\nAnswer: -72*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 0.0454 (c) 4 (d) -241\/2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**5 + 4*r**4 + 2*r**3 - 4*r**2 - 3*r - 5. Let h(w) = 5*w**5 + 4*w**4 + 2*w**3 - 4*w**2 - 3*w - 4. Let t(x) = -4*d(x) + 5*h(x). Factor t(a).\nAnswer: a*(a - 1)*(a + 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 781*y**5 - 168*y**4 + 118*y + 2848?\nAnswer: 15620*y**3 - 2016*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 6*f - 3 = 0. Let k be 415\/2 - f\/(-6). Suppose -3*z - s + 304 = -0*s, 2*s = 2*z - k. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - m**2 + 3*m - 4. Let f be b(-3). Calculate the greatest common factor of f and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*g + 18 + 15 + 4974*g**2 - 32.\nAnswer: 4974*g**2 - 145*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1566\/343 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 7*r**2 + 7*r - 7. Let l be k(6). Is (0 + l)\/((-9)\/36) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2145, 4262, 6349, 8406?\n\"Answer: -15*r**2 + 2162*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 0)*(6*g - 4451*g**3 + 9004*g**3 - 4506*g**3) to x + p*g**2 + t*g**3 + k*g and give t.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(684).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-6 + 3 - 13). Let z = 465 - 467. Let m = 7.7 + -12.7. Which is the closest to 1? (a) m (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 9 - 24 = 3*l, -19 = -3*m + l. Let y be 25\/(-10)*m\/(-5). What is the units digit of -1 + (-4)\/(-4)*y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31005, 33011, 35031, 37071, 39137?\nAnswer: 41235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*5*(-1602)\/178?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/219)\/(-1*3\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 6)*(0*d + 4*d - d) - 13 + 13 - 13*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3625 - 4357. Is 0.5 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 != 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 12 + -8)\/(-1 + 3). Is 6 a factor of s\/6 - (-915)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 4, 2\/13, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 4 (c) 184812 (d) -2\/11 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 8. Let b(z) = 6*z**2 - 6*z + 13. Let q(x) = x**2 + 1. Let v(k) = -b(k) + 5*q(k). Let u be v(6). What are the prime factors of h(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2384)\/28161)\/((-152)\/(-57)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -1. Let t = 1265 + -8857\/7. What is the third biggest value in t, v, 0.3, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 91308066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.84 * 95.73.\nAnswer: -80.4132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3)\/((-44)\/(-33))*11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -1. Let l = 14 - 9. Suppose -l*c + 13 = -u - 31, -2*c - 5*u - 4 = 0. Solve s - h*y - 6 = 0, -2*s + 3*s - 5*y = c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 - 59. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = i + 6, 3*i - 2 - 12 = -2*y. Suppose 3*w = -2*r + 51, 0*r - 3*r - y*w = -77. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 17. Suppose -80*h - 1210 = -100*h - 101*h. Calculate j(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**2*r**3*x + 36355439*f**2*r*x**3 - 799*f*r**3*x**3 + 2*f*r**3 + f*r**2*x - f*x**2 - 25*r**2 wrt f?\nAnswer: -6*r**3*x + 72710878*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*sqrt(143)\/(2*sqrt(99) - sqrt(11)) - (3 + sqrt(130)\/sqrt(90) + (sqrt(104)*1 + sqrt(104) + sqrt(104))\/sqrt(8))).\nAnswer: 12 + 152*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 - (-2 + 4 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3050 - 3050. Let a(t) be the first derivative of -2\/3*t**3 + 3\/5*t**5 + 14 - 1\/4*t**4 + 0*t + u*t**2. Factor a(n).\nAnswer: n**2*(n - 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 22 - 10*l + (l + 0*l - 3*l)*(1 + 0 + 1) + 4 - l - 4 + 3*l + 1 - 1)*(-3 + 1 + 1)*(-l + 2*l - 4*l).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3848, 3855, 3864, 3875, 3888, 3903?\n\"Answer: g**2 + 4*g + 3843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014336371 rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7*b - 2*b + 20 = 0, 5*a - b = 16. Let p(g) be the second derivative of -4\/11*g**2 + 0 + a*g - 8\/33*g**3 - 5\/66*g**4 - 1\/110*g**5. Factor p(t).\nAnswer: -2*(t + 1)*(t + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1119008*v**2 - 92752*v - 1922.\nAnswer: -2*(748*v + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/6 + 62*m - 2. Let s(p) be the third derivative of 0*p**3 + 0*p + 0 - 1\/12*p**4 + p**2. Determine q(s(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474, 1965, 4446, 7917?\nAnswer: 12378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3169.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m + 4*m - 4*m + 8*m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -87246253478 and 2020.\nAnswer: -87246251458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, 0.46, 0.0495 in decreasing order.\nAnswer: 1, 0.46, 0.0495, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -5, -7, 2, -4, 23, -2.\nAnswer: -131, -7, -5, -4, -2, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11034314344 - 4?\nAnswer: -11034314403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 526106281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -785 + -3?\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-740))\/((-1)\/(4\/14)). Let i = 219\/5180 - c. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 2. Suppose 3*u + u - 8 = 0. Let j be x(u). Suppose 0 = -4*h + 2*f - j, 0 = -5*h + 2*f + 3*f - 15. Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -13*x**3 - 99\/2*x**2 + 10 - 2*x. Differentiate k(h) wrt h.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295849?\nAnswer: 19, 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (300\/120)\/((-5)\/(-4)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(-5*sqrt(4)*-2 - sqrt(4))*6 + ((2*(sqrt(396) + -1*sqrt(396)))\/sqrt(9))**2.\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 5*j + 4*p, 3*j - 20*p = -17*p + 114. Suppose -2*i = -6, -26*i = 3*v - 22*i - j. Which is the closest to 1\/4? (a) 3 (b) -4\/3 (c) v (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5129495, 5129491, 5129487, 5129483, 5129479, 5129475?\nAnswer: 5129471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45.087 + -0.087. Let x = 41 - f. Let q = 33\/65 + 9\/13. Sort x, 1\/2, q.\nAnswer: x, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*a + 125*a + 123*a - 374*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 2*s - 4*s + 3*s. Suppose 0 = m + 4*m - 475. Let a(w) = w + m + 2*w - 95. Give h(a(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 20*u**2 - 2*u + 4. Suppose 1 - 7 = -2*p. Is x(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 2\/3, -4\/33, 2, 1, -5?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*r**2 + 71*r**2 + 103*r**2 + 62*r**2 + 72*r**2.\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Suppose i*w = 35 - 7. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -202, -1632, -5520, -13096, -25590, -44232?\n\"Answer: -205*s**3 + s**2 + 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a hour in minutes?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 135. Let x = j - 0. Suppose 4*y - 2*i - 23 - x = 0, -5*y - 4*i = -30. Solve 4*n - 2*q + 22 = 0, 0 = 2*q - 0*q - y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/9*(-108)\/210 and 131\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5853 + 0.5853. Which is the smallest value? (a) g (b) -0.2 (c) -1958\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/15*3 - -11. Which is the smallest value? (a) f (b) 1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/92*16\/(7\/7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 6. Let v = -0.6 + 2.6. Let r = v - f. Which is the second smallest value? (a) -3\/5 (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k - 8. Calculate o(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/13 (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120\/41 + -921\/820. What is the common denominator of p and -89\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 28208?\nAnswer: 141040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-16)\/c**(-2\/7))\/(c\/(c**(-9)*c)*c**(1\/2)))**32 assuming c is positive.\nAnswer: c**(-5648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1563325, 1563299, 1563273, 1563247?\n\"Answer: -26*j + 1563351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/3 - 2)*(-6)\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/80*-4*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6300 and 211\/635880.\nAnswer: 9538200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3272334 is divided by 113.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18522548729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*k + 168, -2*n + 5*k = -0*n - 140. Calculate the highest common factor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 457052, 457054, 457072, 457112, 457180, 457282, 457424?\n\"Answer: d**3 + 2*d**2 - 11*d + 457060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u**5\/13 + 14*u**4\/13 + 58*u**3\/13 - 6*u**2\/13 - 40*u\/13 - 8\/13 = 0. Calculate u.\nAnswer: -1, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 62*j**2 + 56*j - 706. Calculate k(-61).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153596 is divided by 3526.\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -7 - 3. Let p be 315\/(-84) - 8\/d. Which is bigger: p or -0.01?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2693664939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74689 + 5078951\/68. Find the common denominator of -117\/20 and c.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-514)\/5*(-15)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - 2. Let b be s\/((-7 + 9)\/(-1)). What is the highest common factor of 160 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/2*(-671)\/20130*(-18)\/(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a**2 - 11*a**2 + 18*a**2.\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*b**4 + 1442*b**3 + b - 7745380 wrt b?\nAnswer: -984*b**2 + 8652*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/8, -27.33, 4\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2 + 1031852*j + 133089818738 = 0.\nAnswer: -257963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let j(q) = -3*q + 4*q - 2*q. Let k(x) = -2*x. Suppose 0 = -4*h + 2*h - 4*c - 6, -3*h = -4*c - 21. Let y(t) = h*k(t) - 5*j(t). Give y(a(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 60.\nAnswer: 23\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2609*k + 65676 = 2622*k. List the prime factors of k.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 10. Let i be h(-13). Let c be 3\/(-2)*28\/i. Is c at least as big as 3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-11 + 20 - -6) + (1 - -13))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -46*f - 424. Let i(b) = -9*b - 85. Let o(z) = -3*c(z) + 16*i(z). Let a be o(0). Is 11 a factor of 280\/(-16)*a\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 q, and 2 i when four letters picked without replacement from jfjiisqsiiiiiin.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 43*a**3 + 8*a**2 - 8*a + 2. Let p(l) = 14*l**3 + 3*l**2 - 3*l + 1. Let h(z) = -8*p(z) + 3*s(z). Differentiate h(j) wrt j.\nAnswer: 51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559466449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 7. What is q(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.971 - -11. Let t = p + -0.028812. Round t to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.03, 21\/20, 3.2, 0.0493?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2449421649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.07 + 0.07. Let n = d + 5. Which is the biggest value? (a) n (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21637? (a) -0.3 (b) -437 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**4\/12 - x**3\/2 + x**2\/2 - 2*x + 68. Let s = 19 - 25. Give r(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -19*l**7\/210 - l**4\/24 + 79*l**3\/6 + 219*l**2. What is the second derivative of o(q) wrt q?\nAnswer: -228*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231611024, -231611027, -231611030?\nAnswer: -231611033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3) - sqrt(450)\/sqrt(6))**2*-3 + -1*(sqrt(48) + sqrt(336)\/sqrt(7)).\nAnswer: -145 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32531, -65062, -97593, -130124, -162655?\n\"Answer: -32531*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 13 = 3*v, -5*i - 4*v + 10 = -14. Sort i, 15, 0, -3 in ascending order.\nAnswer: -3, 0, i, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = 0, 3*b = 2*m + 3 + 8. What is the first derivative of 5*n**2 + b - 5 - 1 wrt n?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v. Let x(l) = 2*l**3 + l**2 + l - 4. Let k(r) = r**3 - 1. Let t(f) = -3*k(f) + x(f). Let z be t(0). What is the units digit of p(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/11, 2, 3.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47639?\nAnswer: 47639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 11001101101111010?\nAnswer: -11001101101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 7*x - 23. Let g = x - -25. Suppose -g*c + 385 = 3*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 8:26 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwcwnbcgbngwaw. What is prob of sequence wn?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 - 2. Let b be n(1). Suppose b*a - 316 + 106 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1475279, 2950548, 4425819, 5901092, 7376367?\nAnswer: 8851644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.079 + 1.921. What is the second smallest value in -0.2, -1, -2\/243, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 6*z**2 + z**2 - 184 + 4*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7271395 to the power of 1\/2, to the nearest integer?\nAnswer: 2697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - -53. Suppose 5*m = 3*m + o. What is the greatest common divisor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/7)*w*w**(-4\/5) assuming w is positive.\nAnswer: w**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - n - 1)*(-165*n**4 - 1523*n**2 + 1523*n**2).\nAnswer: 165*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1636.4 and -31346813?\nAnswer: 31345176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241 + 241. Put 0.1, y, 0.2, -60 in decreasing order.\nAnswer: 0.2, 0.1, y, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffaa when four letters picked without replacement from {l: 2, a: 2, f: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7835\/2 greater than or equal to -3918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6172673 months in centuries?\nAnswer: 0.00134772275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15. Suppose 18 = g - k. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-132))\/(3\/9). Which is the closest to 2\/7? (a) -2\/9 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 11. Find the common denominator of b\/6*(-438)\/(-4) and (-202)\/(-80)*(-10)\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.3. Let k = r + 0.1. Let o = 30452 - 30454. What is the biggest value in o, -0.5, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-10)\/(-1)*-1. Solve -2*q = -i, 7 = -t - 2*t + 2*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g**3 + 660*g**2 - 661*g**2 + 2*g**3.\nAnswer: 23*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 + (-78)\/(-30). Suppose l*h = 6*h - 24. Let u = h - 0. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1241 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 32 - 4*r)*(295 + 33*r - 3*r - 292).\nAnswer: -120*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1200\/360*(-5)\/675\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11971413.7268 from 0.1.\nAnswer: 11971413.8268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 492 + -922. What is d rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43447 divided by -16.\nAnswer: -43447\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-1692)\/4 - 12\/(-4). Suppose 5*v + i = 1406. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 11*a + 19. Let k be p(4). Suppose k*q + 253 = 18*q. Solve -6*i + w + q = -i, 4*w - 8 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -219, -214, -209, -204?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668841 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - -53) + 41 + -40.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**4 - 3*t**3 + 27*t. Let h(v) = -11*v**4 - 5*v**3 + 54*v. Let m(y) = 3*h(y) - 5*w(y). What is the second derivative of m(q) wrt q?\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 4*q**3 + 3*q**2 - 2*q - 12. Let a = -62 - -59. What is the units digit of d(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**5 + 8513*x**4 + 6059*x**3 - 84225*x**2 + 330*x + 2 wrt x?\nAnswer: -120*x**2 + 204312*x + 36354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 7*o + 8. Let x be r(-3). Let g be -5 - -3 - x - -4. Let p(j) = -j**2 - 6*j - 4. Let i be p(-4). Put g, i, 5 in ascending order.\nAnswer: g, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47908.\nAnswer: 2, 7, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 16) to base 11\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 3*p + 3*p)*(0*p + 2*p - 4*p)*(-2*p**2 + p**3 + 2*p**2).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (6*(sqrt(425) + 0 + sqrt(425)) + (sqrt(425) + 1)*-1)*5))**2.\nAnswer: -178200*sqrt(17) + 46285416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 22068 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/167955617 and -13\/8973.\nAnswer: 1511600553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101100 - 1101000110?\nAnswer: -10000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 206. Let h = -190 + s. What is the second smallest value in -2\/15, -64, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14)\/(-17 - (-9063)\/532).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 5*g + 22, 10 = -s - 5*g + 2*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*n - 9, -4*z - 1 = 3*n - 10. Factor 7*y**2 - 18*y**n + 17*y**2 - 10*y + 14*y**3 - 2*y**2.\nAnswer: -2*y*(y - 5)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 7 + 5)*(2*m + 0 + 0)*(-52 + 13 + 28) to the form k*m + z and give k.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**3*m**2*r - 2*d**3*r - 2*d**2*r - 3*d*m**2*r - 19*d*m*r + 4*m**2 wrt m.\nAnswer: -12*d**3*r - 6*d*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/11, 1\/6, 53\/6, -0.2, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = -61*o + 54*o. Let f(z) = 2*z**2 - 31*z + 28. Is f(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 6)*42\/(-63). Let t = s + 6. Solve t = -10*o + 8*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70710900 and 22620?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of ((-402)\/(-30))\/(10\/1700)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137074*m**2 + 722800?\nAnswer: -274148*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 190*t = 64 - 334, -7*m - 224 = -3*m + 2*t for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11547412 to the power of 1\/2, to the nearest integer?\nAnswer: 3398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/2 + 281*v**2 - 62321*v\/2 - 2450474 = 0 for v.\nAnswer: -52, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1071 + -10481. Round r to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11426391*h**5*q + 49*h**4*q - h**2*q - 2*h**2 - 5683380*h*q - 10*q wrt h?\nAnswer: 685583460*h**2*q + 1176*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*w + 7. Let p(b) = 46 - 7*b - w*b - 15. Is 23 a factor of p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 365, 730, 1093, 1454, 1813, 2170, 2525?\n\"Answer: -q**2 + 368*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556 = -3*i + 4*q + 553, -5*i + 18 = q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 555585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1516? (a) -0.3 (b) 0.2 (c) 4\/5 (d) -1\/2 (e) -1422 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 23615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2885 + 6 + 11\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + 4\/(-10)*-5 + -3. Let p be (0 - 0)*(-6)\/f. Let n be ((-3)\/(-9))\/((-1)\/(-9) + p). Solve -z = -n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 3, o: 1, n: 2}. Give prob of sequence cck.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, 152, -43 in increasing order.\nAnswer: -43, 2, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (96\/(-44) - 10\/(-55)). Suppose t + m + m = -6, -n*t - 12 = 4*m. Solve -p = 4*f - 8, t = 3*f + 2*f + 2*p - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 5*u**2 - u - 1. Let j(a) = 424*a**3 - 442*a**2 - 4*a - 4. Let b(k) = 4*i(k) - j(k). What is the third derivative of b(r) wrt r?\nAnswer: -2568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (65\/60)\/(12\/64) - 6. What is the second smallest value in -0.3, -0.2, d, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18017 - -18017. Are 21\/188 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**3\/2 - 2*t**2 + t. Let z(h) = h + 20. Let g be z(-14). Let n be b(g). What is the highest common divisor of 126 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/79, 1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 + 2 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 89 (base 11) to base 15\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 76*b + 209. Give g(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -256 (c) -0.5 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52041607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29075, -26491, -23907?\nAnswer: -21323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/21*-3 + 1007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/12*(0 - 14) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 14. Let p be j(-6). Let v = 25 - 20. Suppose -i = -v*i - p. Let b(w) = 4*w - 1. Give b(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Let g(z) = 0*z**2 + 2*z**2 - 4*z**h. Let k(m) be the first derivative of -m**2\/2 + 573. What is k(g(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 6:46 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 5*d + 10 = 10*g, 0 = -2*g - 5*d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 2*a + 2. Let j be u(-2). Suppose j*y - 22 = 2*n, -y + n - 7 = 6*n. Let x = -5 + y. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*c**2 - 30 + 64 - 26*c + 25*c.\nAnswer: -53*c**2 - c + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61813\/12 + -5157. Find the common denominator of t and (-709)\/(-30) - (-1 + 44\/55).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70 + 36*c - 70 + (2 + 1 - 2)*(-c - c + c) + (-2 + 2 + 1)*(-2 + 2 - 2*c) + 0 + 0 - 2*c + (3 - 1 - 1)*(-6*c + c - c) in the form w + u*c and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) + 2*sqrt(1458) + -2*sqrt(1458))\/(sqrt(96)*-4*6).\nAnswer: -3*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.71 + 164684672.\nAnswer: 164684672.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b**3 - 5*b**3 - b - 3674 + 2*b + 3655 - b**2 - 4*b in the form c*b**3 + p*b + w*b**2 + y and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/1177 + -667379\/2354. Let h = -287 - l. Let v be (1 - 2)*(1 - 2). Which is the nearest to v? (a) -1 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 3. Let j(y) = -8*y + 8. Let r(x) = -4*j(x) - 11*n(x). Suppose -9 - 23 = 8*z. Determine r(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -2.5. Let j = u + 4.499926. What is j rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4*t)*(5 + 9 + 0) to x*t + f and give x.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -35. Let x = 28 - v. Let r be (-2)\/3*1\/(-3). What is the closest to -1 in r, x, 5\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, 4\/21, -21\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (8 + -17 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.9 - -151.147\nAnswer: 159.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13672 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5733285281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 44.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-41)\/(-3) + (10\/(-3))\/(-10). Suppose -m - 19 = -33*p. Let z(j) = 2*j - 2. Let t be z(3). Solve -b + 9*x - 4*x = p, 2*x + t = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-6))\/d**(-16) assuming d is positive.\nAnswer: d**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r - 30. Let b be g(11). Suppose 2*d = 3*l - 2*d + 48, -5*l + d - b = 0. Let q be ((-96)\/(-168))\/(2\/l). Is q not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.7 (b) 1 (c) 2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/910 and 173\/52258440.\nAnswer: 365809080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*x + 4*f, x + 3 - 27 = -f. What is the smallest common multiple of 16 and x?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -56 (b) -2 (c) -45 (d) 3\/4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - s)*(-179 + 4*s + 179).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 16*m**2 + 22*m**2 to h + d*m**2 + c*m and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 20*u**2 + 24*u.\nAnswer: 4*u*(u + 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190 + -180. Let z(w) = -3*w**2 + 2*w**2 - y*w**2. Determine z(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 160*v**2 - v**3 + 13 + 3 - 19 + (2*v**2 + 3*v**2 - 3*v**2)*(-2 + 2 - v).\nAnswer: -3*v**3 + 160*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 3*a**2 + a. Let d(t) = -5*t**3 - 18*t**2 + 2*t + 9. Let n(q) = -d(q) + 4*g(q). Give n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 - 128. Suppose -3*d + 56186563 - 21416563 = g. What is d rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/30)\/(9\/(45\/2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 15*u + 11. Let h be b(7). What is the highest common divisor of 29 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1.1 (b) 0.5 (c) 1\/14 (d) 3 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/75*5)\/((-14)\/280).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.32 + 0.02. Let s = c + 0.2. Let d = 3\/62 - 139\/310. What is the nearest to d in 3, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 95 = 2*o. Let l(q) = -758 - 22*q + 1303 - 669. Let n be l(-6). What is the greatest common factor of o and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10*a + 497. Let m(d) = 7*d - 355. Let b(l) = -7*m(l) - 5*v(l). Let r(q) = 9*q**2 - 8. Determine b(r(o)).\nAnswer: 9*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:44 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1218685 divided by 18749?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 33*n - 2389. Let t be z(77). Calculate the highest common divisor of 6346 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -263*b**3*d*t + 210*b**3*t - 12*b**2 + 229*b*d - d*t + 13*t wrt d?\nAnswer: -263*b**3*t + 229*b - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-348)\/2436)\/(2\/546).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/8*-3 + 8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 7:46 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -37190 <= -669425\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - t - 2*t + 70, -5*u - 3*t + 175 = 0. Let j = 37 - u. Solve 3*x + 2 = j*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 234464?\nAnswer: 234464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, 443, -67\/5 in decreasing order.\nAnswer: 443, -67\/5, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 8120274.1?\nAnswer: 8120273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 205*j - 203*j + 22708, -5*b + 2*j + 37848 = 0. Is b a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -6\/13 (b) -2\/3 (c) 2.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1071 divide 66224965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 divided by -6.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 328 and 49528.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 11:17 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u - 72 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100257581*z**2 + 3473*z + 14602?\nAnswer: -200515162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204511724?\nAnswer: 2, 79, 647189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -326*a - 4. Let r(m) = m + 5. Give -r(h) - s(h).\nAnswer: 325*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**5\/30 - 13*z**4\/24 - 17*z**3\/3 - 5. Let k(u) be the third derivative of j(u). Differentiate k(v) with respect to v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m = -3*q + 50*m + 41, -30 = -2*q - 2*m. Solve -19*l = -8*l - q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 1, -25, 3 in increasing order.\nAnswer: -25, -14, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -222001200202 (base 3) in base 16?\nAnswer: -7d3e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f. Let y(p) = -5 + 3 + p - 2 + 4. What is y(r(x))?\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386063?\nAnswer: 157, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**2 + 234*p - 52. Determine j(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119139267 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 12*l**2 - 52*l - 51. Let d be j(-5). Calculate the greatest common factor of 1224 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5063840478?\nAnswer: 2, 3, 163, 197, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(4\/3)*m\/m**(-5)*m**(-9)*m\/m**9*m)**(-25) assuming m is positive.\nAnswer: m**(775\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 - -88. Let c be 2\/10 + 18\/10. Determine q so that -6*q**c - q**i + 5*q**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 875*b**3 + 947*b**3 - 3568*b**3 + 907*b**3 + 925*b**3.\nAnswer: 86*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/6 - -5 - -6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*r = -169*r + 323 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2420453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 5*w = -x + 23, -2*w - 12 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34906, 34955, 34970, 34939, 34850, 34691, 34450, 34115?\nAnswer: 33674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 130 - 145)*(0*k - 3*k**5 - k + 3*k)*(-4 + 24 + 7).\nAnswer: 17496*k**5 - 11664*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 6*s + 5. Let f be n(-7). Let b = f - -4. Suppose -3*j + 82 = t, -3*t = j - b*t - 28. Calculate the remainder when 53 is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.6 - 0.6. Let a = 11024 - 11021. What is the third biggest value in k, a, -2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 25. Determine z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13423803 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 7*n - 2*a - 6, -5*n = 3*a - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04798 times 3\nAnswer: 0.14394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 73, 120, 167, 208?\n\"Answer: -c**3 + 9*c**2 + 21*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-6))\/(-1 - 5 - -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -34*d**2 + 5*d + 12. Let p(k) = -25*k**2 + 4*k + 13. Let f(n) = -4*p(n) + 3*t(n). What is f(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + t, 10 = 3*k - 5*t + 16. Let z = -337 + 485. Suppose 117 = 2*c - k*o + 30, -3*c = -o - z. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l\/(l\/(((l*(l\/(l\/l**(-12)))\/l)\/l)\/l)))))\/l*l*l**(-4))**31)**(35\/4) assuming l is positive.\nAnswer: l**(-9765\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 264*y**4 + 1524*y**3 - 6166*y**2 + 6699*y - 2322.\nAnswer: (y - 1)**3*(y + 9)*(y + 258)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let l(w) = w**2 - 2*w + 6. Let r be l(6). Let j(g) = g**2 - g - 1. Let i(q) = 35*q**2 - 30*q - 30. Let z(d) = r*j(d) - i(d). Determine z(f(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4700*z - 9 = -4697*z + 5*t, -54*z + 4*t = -16 + 178 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*o + 54. Suppose -o = -5*p + 14. Let j(w) = -w**3 + 6*w**2 - 4*w - 1. Calculate j(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 4*v + 52 = -39*r, -r - v = -4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4352 by -1088.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(sqrt(1300) + 1) - (-3*sqrt(1300) + (sqrt(91)\/(sqrt(49)\/sqrt(7)) - sqrt(13))).\nAnswer: -3 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y + 5*b - 1019 = 0, -3*y = 4*b - 3112. Suppose 19*k - 1920 - y = 0. What is the highest common divisor of k and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 29*x - 21. Let m be f(15). What is the third derivative of 862*g**6 + 2 - 9*g**2 - 422*g**6 - m*g**6 wrt g?\nAnswer: 3120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17401 + -7721. What is p rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z - 27*z = 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9968 = -4*q, -7 - 5 = -4*q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 4) in base 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-1 + 2) + -22. Is o*(-4)\/(-8)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:00 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n + 12. Suppose 0 = -h + 5, t = 2*t + n*h - 26. Solve 2*w + 0 = 2*r + 4, 3*w + 5*r - t = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -6. Suppose -4*n - 2*q = -2 - 8, -2*n + q + 11 = 0. What is the nearest to x in -2\/13, n, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m**2 + 3*m - 2. Let u be v(-3). Let y be (-1)\/(-5) + 91\/u. Is y < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + (15 - 8) + -25 + (5 + -1 - -2).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129 and 12.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 - 78 = -34*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/20*((-2630)\/2367)\/((-16)\/(-40))\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23449538.\nAnswer: 2, 7, 34183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 - 16067835*v + 64271420 = 0 for v.\nAnswer: -3213571, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*u, 2*u - 2*k = -6*k. Let b be (1 + u)\/(10\/20). Suppose 26 = -b*o + 112. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2 + 10*n + 13\/2*n**2 - 7*n**3 + 2*n**5 - 7\/2*n**4 = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 137 = -45. Suppose 7*d - s = 2. Calculate the highest common factor of d and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -260*t**3 + 75*t**2 + 46530*t - 46345 = 0.\nAnswer: -713\/52, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17907 times 5\nAnswer: 89535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from {b: 2, q: 12, k: 1, c: 2, h: 2}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = m - 17. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6188, -6168, -6156, -6152?\nAnswer: -6156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51937 rounded to three decimal places?\nAnswer: -0.519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -15. Suppose -3*f + 12 = -m*f. Let o = -554 - -557. What is the remainder when f is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122595872.\nAnswer: 2, 7, 263, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6347625 or 57128618\/9?\nAnswer: 57128618\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Let j = l - 3. Let d(p) = -3*p**2 + 83*p - 51. Let y be d(27). Put j, 5, y in ascending order.\nAnswer: j, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 14 + 9 = 0. Suppose 5*n = i + 18 + 11, -5*i + 5 = t*n. What is the third derivative of -13*r**2 - 22*r**n + 24*r**2 + 7*r**5 wrt r?\nAnswer: -900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + b**2 + 1. Let o be 0 + -1 + 20 + -17. Let k(m) = 4*m**4 + 26*m**3 + 38*m**2 - 16*m - 46. Let u(c) = o*t(c) - k(c). Factor u(l).\nAnswer: -4*(l - 1)*(l + 2)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1072492 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -m - 15. Determine h, given that -h**2 + 0*h**2 + 16*h + 12 + 6*h**2 - h**m = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrpwrrly. What is prob of picking 1 l, 1 p, and 1 r?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20222 (base 3) to base 5.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 60.2. Which is the third smallest value? (a) 0.3 (b) 5 (c) q (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35244, 74260, 113292, 152346, 191428?\nAnswer: 230544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -1\/8*m**4 + 0 - 1\/3*m**3 + 0*m**5 + 49\/120*m**6 + 0*m + 26*m**2. Let s be v(-1). Is -48 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-11*(14 - 2296\/154).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 28*c. Let h(l) = 39*l - 5. What is f(h(m))?\nAnswer: 1092*m - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 18 = 246. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t*t*t*(t\/(t\/(t*t**16)))\/t)*t)\/t)**(2\/33)*(((t**(-35\/4)*t)\/t)\/t)**42)**(-1\/4) assuming t is positive.\nAnswer: t**(27095\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + p**3 - 3*p**3)*(-1 - 3 + 3)*(-2*p**2 + 2*p**2 - 2*p**2 + (-p + p + 2*p)*(-2*p - 3*p + 8*p) + 10 - 10 + 38*p**2).\nAnswer: -42*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - c - 1 + (0 - 1 + 6)*(2*c - 2*c + 3*c) - 2*c + c - 3*c to a*c + i and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6421 + 2279457\/355. Are z and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o = -26*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*x - 1660, -4*x - 4*p = -1822 + 130. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1301285 at least 0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 11:01 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517457 is divided by 1960?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15 and -17.7018.\nAnswer: -2.7018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/36*2)\/((-36)\/(-48))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268131*l + 134063*l - 7*l**3 + 134068*l.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*l - 18, 5*l + 9 = -s + l. What are the prime factors of 195 + (1 - -3) + s?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5842228 milligrams?\nAnswer: 584.2228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 789\/710?\nAnswer: 789\/710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276 - 103. Let d = -173.00142 + m. What is d rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u**5 + 522*u**4 - 1094*u**3 - 322*u**2 + 1104*u - 200 = 0.\nAnswer: -1, 1\/5, 1, 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + 5)\/2*-8. Solve -r = 3*q - 11*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**3 - 5*b + 160. Let s(h) = -h - 11. Calculate r(p) - 6*s(p).\nAnswer: 6*p**3 + p + 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123998507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 396751942?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.4, -1\/5, 0.4, 0.19, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24 - 1) + -4 + 5. Suppose 2*f + m = 5*w, 3*w - w - 36 = 3*f. Let p be (-2 - 16\/f)*9. Which is greater: -4 or p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5469.1519 to the nearest ten.\nAnswer: -5470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-1))\/(5 + -6). Suppose 69 - i = -2*p. Let r = p - -83. What is the greatest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/29? (a) -2 (b) 1.8 (c) -95 (d) 1\/7 (e) 75 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2168 - 1976. Suppose -10*c = -5*c - 60. What is the highest common factor of t and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, 65, 107?\n\"Answer: 42*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + 0)*(-5)\/(-3). Suppose -2*f + 2 + 2 = 0. Suppose 3*x + 88 = f*l, l + 0*l - x = 46. Calculate the greatest common divisor of l and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-7) - 8630\/(-70) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*v + 1. Let o = 227 - 232. Let r be (o\/20)\/(v\/8). Is r smaller than 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1810306, -1810278, -1810250?\n\"Answer: 28*v - 1810334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 527 - 566. Which is greater: d or -40?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28726964 is divided by 1159?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -650000*w**2 - 4*w - 16. Let h be g(-4). Round h to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41905750.\nAnswer: 2, 5, 167623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65339 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 14*a = 2*r + 12, r + a + 2*a - 4 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(24*f**4 - 99*f + 99*f) + (-f + 5*f - 2*f)*(-3*f**3 + 4*f**3 - 4*f**3).\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 2:13 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/10 - (-78)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6460794 divided by -6?\nAnswer: 1076799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 390*c**2 + 37*c**2 - 923*c**2 - 20.\nAnswer: -1276*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 - -64 - ((-2 - 9) + -1 + 8).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:09 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 2*k + 1. Let t be v(-2). Suppose -3*q = t*i - 32, 2*i - q - 28 = -6*q. Let g be 10\/((-1)\/(-6) + (-2)\/(-6)). Solve i*s + s = -g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u - 25. Calculate m(-9).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 3361440.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -85 and -74 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-1 + 0)\/2. Let k = 2.6 + -2.891. Let u = -0.191 - k. Sort r, u, 0.3, 3 in ascending order.\nAnswer: r, u, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/144)\/(((-2)\/1245)\/(((-4104)\/180)\/(-38)))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56\/239 in -2, 5, -0.5, 1\/5, -33?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 0, -5*b - 1629 = 2*z - 207. Let v = -99 - b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3167.4 * -12526\nAnswer: 39674852.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2 - (-14417)\/9981?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d = -60. Calculate the remainder when d is divided by 84\/10 - (-4)\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1102131 and 5004?\nAnswer: 4408524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/((r\/(r\/(r*r**(-2\/25))))\/r))\/r*r)*r**12)\/(r*r*r**(-15)*r**(-21)*r))**(10\/11) assuming r is positive.\nAnswer: r**(2246\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 5. Let a be k(5). Let h be (26\/4)\/(2\/4). Suppose z + h = a*f - 0, 3*z + 3*f = 33. What is the remainder when 19 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(122 - 122 + 6*q)*(-q**4 + q**3 - q**3).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38048 and 40405.\nAnswer: 78453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33b (base 12) to base 15\nAnswer: 21e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -872, -860, -848, -836?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*g - 76. What are the prime factors of 1\/5 - (-445)\/g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5702 divided by -81.\nAnswer: -5702\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**2 + 11*h + 5. Let t(c) = -c**3 - 37*c**2 + 52*c + 21. Let s(u) = 2*t(u) - 9*y(u). Determine s(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0956 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -15, -3 in descending order.\nAnswer: 4, 1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -7)*-416 - (5 + -4) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0118652 to 4 decimal places.\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i**3 - i**2 + i - 1. What are the prime factors of l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/72)\/(5\/(-14)) + 6\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100110110 - -21202?\nAnswer: -100011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (38 - 95 - -16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108381189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3 - 647*m*q**3 + 246*q**3 with respect to m.\nAnswer: 3*m**2 - 647*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 - 6*q**2 - 2*q**2 + 5*q**2 in the form v*q**2 + i*q + p + h*q**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -30, 5.7, 2, 12\/13, -0.2 in ascending order.\nAnswer: -30, -2\/5, -0.2, 12\/13, 2, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -12. Suppose -g = -5*x + 4*x. Does 17 divide (1 - x)*3\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t - 10*t - 2*t - t as j + w*t and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8886322 is divided by 8886314.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 5*t + 16312*t**3 - 16311*t**3 + 3 - 268*t**2 + 5*t to the form p + l*t**3 + c*t + b*t**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 0 + 1 + -25 + 23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3) - (-9)\/(-27). What is the smallest value in -0.5, k, 6\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 28. Let u be k\/3 + (0 - -9). Is 6 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1455.7541 + 1456.5440951. Let c = -17.5 + 18.29. Let l = c - x. What is l rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4866?\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 - -48. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*b - 26*b - 18000 = 131*b for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:12 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75023220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001608424646 to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186048 + 45?\nAnswer: -186003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 12*j + 13*j + 1, b + 4 = -4*j. Let u = 47 - 281\/6. What is the nearest to 0.1 in u, 1, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(4\/3))\/(-1). Let r = d + -1. Suppose 22 + r = 2*j. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b91d3 + -68?\nAnswer: 1b9169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2661 - 83*i**2 - 2661 + 88*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = k - 3. Suppose -4*m - w = -199, 4*m + m - 2*w - 239 = 0. Let l = m - k. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 6*p**2 - 2*p - 3. Let c be w(5). Suppose 21*q - 45 = c*q. Let o(s) = -3*s + 6. What is o(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b + 13. Let m(j) = -7*j - 26. Let u(y) = -3*m(y) - 5*v(y). Find the first derivative of u(t) wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = 2*n, -3*p - 52 = 5*n - 5. Let a(d) = d**3 + 6*d**2 - 12*d - 15. What is the smallest common multiple of a(n) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6*(-28104813)\/(-11). Let i = o + -3109854. Let z = i - -688532. What is z rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/180 - c**5\/90 + c**4\/3 - 7*c**2 - 25. Factor d(z).\nAnswer: -2*z*(z - 3)*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20011111222222 (base 3) to base 8\nAnswer: -14401417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39111479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*b**3 + 5961*b**2 - 19*b - 5961*b**2 - 12 + 84*b**3.\nAnswer: -4*b**3 - 19*b - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 3. Let h be i(5). Let g = 52\/3 - 17. Let v = 18 - 17.5. Sort g, h, v in increasing order.\nAnswer: g, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -4660288614?\nAnswer: 4660288609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2255, -2253, -2251, -2249, -2247?\nAnswer: -2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Which is the second smallest value? (a) -2 (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/11824840 and 47\/5912420?\nAnswer: 11824840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 0 - 120*v**2.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 (base 12) in base 16?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -678 and 3.\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6771*m**2 - 10 + 12 - 9*m**3 - 6774*m**2 to y*m**3 + u*m**2 + b + r*m and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/19135476 and -79\/1740.\nAnswer: 95677380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -71a1 (base 16) to base 13\nAnswer: -10318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29, -8\/5, 0.3, -2\/17 in decreasing order.\nAnswer: 3, 0.3, -2\/17, -8\/5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (119\/(-49))\/(8\/(-168)). Which is bigger: 52 or v?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36412966 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12922.78 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162882224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o - 20. Let d = 14 - o. What is the derivative of 0 + 5 + d + 8*u - u wrt u?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690955993?\nAnswer: 7, 13, 31, 83, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:14 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -7*t - 20. Let p(n) = -143*n**2 - 39. Let h(j) = 18*j**2 + 5. Calculate t*p(q) + 39*h(q).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -25212043 (base 6) in base 9?\nAnswer: -1464660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*o - 1152. Suppose 0 = 9*f + o - 804. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/28)\/((-2)\/(-42)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*q + 411*q = -1807*q - 132552 for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 + ((-2064)\/(-430) - (15 - 1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + (sqrt(98) + 3*sqrt(98))*2)*-5 + -6*sqrt(20)\/(sqrt(810) + sqrt(810)*3))**2.\nAnswer: 3575881\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 8\/((-2)\/(-1)). Suppose -j = 5*z - p, 0 = -z - 2*p + p - 4. Let x(g) = 2*g**2 + 22*g - 26. Let d be x(-12). Sort -5, z, d in descending order.\nAnswer: z, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sih when three letters picked without replacement from {h: 1, n: 1, s: 2, i: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -67. Let v be t\/(-14)*(-78)\/(-4). What are the prime factors of (-2 - 3\/3) + v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 627 + -213. Let k be (-28)\/(-13) + (-8)\/52. Suppose 2*b = k*c + 210, b - 2*c = 5*b - v. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 399?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or -0.049136?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7141915368 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-418)*6\/18.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -504, -3, 4473 in ascending order.\nAnswer: -504, -3, 4473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21454 and 70?\nAnswer: 750890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 42*o**5 - 17*o. Let h(m) = -28*m**5 + 11*m. Let z(s) = 8*h(s) + 5*y(s). What is the second derivative of z(w) wrt w?\nAnswer: -280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 4, r: 4}. What is prob of picking 2 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -73. Calculate the least common multiple of 6 and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40088\/15 - 2672. Let l = -47767\/4854 + 6\/809. Calculate the common denominator of l and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 258*z**2 + 8*z - 8. Let p(k) = 172*k**2 + 5*k - 5. Determine 8*p(x) - 5*y(x).\nAnswer: 86*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 225, 0.11, -0.5, 2\/13?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 22*s + 3*j = 243, 319 = 4*s - j. What is the remainder when 314 is divided by s?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -52921 and -52921 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12390 - -3?\nAnswer: 12393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(432) - (0 + 1 + sqrt(432)))*-6 + 4*2*(sqrt(432) + (sqrt(432) - (sqrt(432) + -1)))**2)*4.\nAnswer: 1536*sqrt(3) + 27760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 4:27 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28217 - 28217 - 4386663*q.\nAnswer: -4386663*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1628237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/10)\/((-4)\/(-10)))\/((43134\/(-52))\/(-21))?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.564 + -329.436. Let n = -329.99829 - o. Round n to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {c: 3, y: 7}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 21*y = 2630. What are the prime factors of y?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3107375761?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**7\/42 - k**6\/12 + k**5\/4 + 5*k**4\/6 - 10*k**3\/3 + 5*k**2. Factor i(p).\nAnswer: -5*(p - 1)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 20962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.09341 times -0.3\nAnswer: -0.628023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l + l = 0. Suppose l = -8*h + 10*h - 36. Suppose 3*x + 208 = 7*x. What is the remainder when x is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6536\/196293 - 2\/3327. Suppose 6 + 13 = 4*w + 3*x, -15 = -4*w + x. Suppose 2*d = -w*y - 6, -y - 14*d + 9*d - 6 = 0. Are y and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 19664 = 7508. Is 15189\/5 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -57 (b) 4 (c) -4\/21 (d) 152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9645 = -803*w - 7461 - 16620 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -80. Suppose 19*d - k = 14*d. Solve -11 = -4*g - 3*t - 27, -d*g = -2*t + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 323 - 326.005. Let b = f - -1445.005. Let z = b + -1441.9999419. What is z rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**4 + h**3 - h**3)*(9 - 21 - 53) + (-9*h**3 + 13*h**2 - 13*h**2)*(10 - 2*h - 10) to v*h**4 + j + z*h**3 + x*h**2 + u*h and give v.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3\/4 - 3*o**2\/4 - 39*o\/2 - 18 = 0. What is o?\nAnswer: -4, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*d - 476 = -109*d. Solve 0 = -18*y + d*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*t**2 + 1808*t**2 - t**3 + 1448*t**2 - 78*t**2 to p*t + s*t**3 + u*t**2 + g and give u.\nAnswer: 3138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 + 0*g**2)*(-2*g**2 - 7*g + 3*g**3 + 7*g).\nAnswer: -9*g**5 + 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**4\/12 + 9*z**2\/2 + 27*z. What is k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 1160 = 8*x. Let z = 2077 - x. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342\/66 - (7 - 2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**4 - 565*x**3 + 1230*x**2 + 9040*x - 18400 = 0 for x.\nAnswer: -115, -4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**4\/4 + 5*z**3\/3 - z**2\/2 - 4*z - 11. What is w(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -121*(-10 - -4)*(-2)\/(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 161053036 + 143?\nAnswer: 161053212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 11*r + 12. Give s(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 38. Which is the third biggest value? (a) 3\/8 (b) 1\/2 (c) k (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.2661 - 0.7339. Let i = -49 + 48. What is the nearest to 0 in 4, f, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 * 29.809242\nAnswer: -1073.132712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 32 - 32)*(5 - 2 + 0).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = 5*l + 27, -3*d = -3*l - 9. Let c(q) = -q**2 + q + 1. Let g be c(d). Is g bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87055.92 years in centuries?\nAnswer: 870.5592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67432 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 8*m - 29. What is the lowest common multiple of 66 and m?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -103, -184, -265?\n\"Answer: -81*q + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 34. Let d be h(9). Solve -5*s = -d + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 2. Let j be 1 + 0 + 7 + -4. Suppose j*w = 17 - 9. Let b(c) = c. Calculate w*p(h) + 4*b(h).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*a - 5090 = -4896 + 9246 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 23*w**2 - 5*w - 13. What are the prime factors of q(-3)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29540.1476 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/16? (a) -1 (b) 1 (c) 0.06662 (d) -0.4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -259*d**2 + 2*d + 101 wrt d.\nAnswer: -518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 2. Let g = 1.7 - 8.1. Let d = 6 + g. Sort d, 0.5, z in descending order.\nAnswer: 0.5, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4761 + 4764. Suppose 5*s + 25 = 5. Which is the third biggest value? (a) s (b) 0.3 (c) o (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 2:08 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tss when three letters picked without replacement from xsxtxtxsxstttcsx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -61. Solve 3*x + h = -x - t, -10 = 4*x + 2*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1343142 + -1203?\nAnswer: -1344400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 1. Let p(v) = -9 + 33 - 23. Let j(i) = i + 2. Let u(k) = 4*j(k) - 9*p(k). Give 5*d(c) + 2*u(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -c - 0*b - 4*b, 0 = 4*c - b - 3. Suppose 2*g + c*g = 4. Let i(l) = -l**3 + 2*l**2 + 2*l + 1. Let z be i(g). Solve -t = -z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187340 (base 12) in base 4?\nAnswer: -1220110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -225 + 250. Suppose -5*r + 200 = -2*h, -h + 160 + i = 5*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -685 (base 16) in base 15?\nAnswer: -764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 - 3.5. Let w be 54\/(-36)*(-2)\/3. What is the closest to 1 in -1\/3, y, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -0.3, -1\/2, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 22. Let g = 38 + o. Let f = g - 24.9977. What is f rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + -1)\/(-4)*67994 - (-21 + 18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -4*q + 5*a + 130, 4*q = -3*a + 21. Let d(i) = -i**3 + i**2 - i. Let l be d(0). Solve l = 8*s + q + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 4. Let x be p(8). Suppose -a = x*a. Let z(h) = -h**2 - h. Give z(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -168109, -336221, -504333, -672445, -840557?\n\"Answer: -168112*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 - 6*v + 72\/5.\nAnswer: 2*(v - 12)*(v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-13976856)\/(-378))\/19 - (-4)\/(-42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 11*d + 26 = 0. What is the fourth biggest value in d, 1, 3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 17*x - 19 - 6 - 12*x + 1. Let t be y(5). Solve -5*r + t = 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**14*p*p\/p**(2\/51)*(p*(p*p**(-13)*p)\/p)**(2\/59))**(7\/9) assuming p is positive.\nAnswer: p**(349391\/27081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154 is divided by 121?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 8:20 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -736, -1939, -3938, -6727, -10300, -14651?\nAnswer: -19774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -1, 25, 81, 179, 331, 549, 845?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 12*p**2 - 10*p + 18. Let c be z(-11). Suppose c*v - 35 - 21 = 0. Is v <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**3\/15 + a**2\/5 + a\/5 + 20. What is d in w(d) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28033.6058 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7108037?\nAnswer: 83, 85639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/20 + 11*b**4\/12 - b**3\/6 - 5*b**2\/2 - 27*b. Is 17 a factor of g(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 94*n + 4. Let d(s) = -19*s - 1. What is 3*b(c) + 14*d(c)?\nAnswer: 16*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000223075 to 6 decimal places.\nAnswer: -0.000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*j - 16 = 4*a, j = a + 3. Let n be (-2)\/(-5)*5*-1. Let u be 14 + (n - 0)\/a. What is the greatest common divisor of u and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1251 - -1256. Solve 3*g = -5*q - 1 + 5, h*q = g - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 106*t - 2*t**2 - 52*t - 39*t in the form r + v*t**2 + z*t**3 + j*t and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y + 13*y + 16*y - 38*y as v + d*y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 + a**2. Let x be o(1). Suppose x*w - 8*w = 0. Solve w = 3*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -29, 3\/5, 88.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.3 + 23.4. Let h be 3\/9*(-3)\/4. Which is the closest to g? (a) -3 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*r - 28*r = -182*r + 42*r - 736 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 111001001010?\nAnswer: -111001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - x = 156, 0 = -2*l + 3*l - 3*x + 92. Let c = -518 - -493. Let v = c - l. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -3*o + 5*z, -11 = 4*o - 5*z + 26 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57840, 115631, 173410, 231171, 288908, 346615?\nAnswer: 404286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(sqrt(19)*-1 + 0)**2*-5*-3*-3.\nAnswer: 12825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(50)\/sqrt(10)*4.\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59060 is divided by 1312.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 177*f + 540.\nAnswer: -(f - 3)*(f + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001662 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from jjjjjjjzzj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.6, -1, -4\/5, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 2*m**2 - 4*m**2 + (-4*m + 0*m - 4*m)*(5 + 4*m - 5) - 6*m**2 + 3*m**2 + 2*m**2.\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, -23, -79, -187, -365, -631, -1003, -1499?\n\"Answer: -3*w**3 + w**2 - 4*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10172, -10244, -10374, -10568, -10832, -11172?\n\"Answer: -i**3 - 23*i**2 + 4*i - 10152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*u = -3*d - 11, -20997*d - 1166 = -5*u - 20610*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**1\/r)\/r)**(-10)*(r**(1\/3))**(-4\/13) assuming r is positive.\nAnswer: r**(-394\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107603946.\nAnswer: 2, 3, 5977997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -509\/1669 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2304 (base 9) to base 5\nAnswer: -23310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 20*a - 17*a. Calculate the common denominator of a and 103\/46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116318552?\nAnswer: 2, 7, 296731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 878.9459013 + -879.6459. Let f = 203.7 - 203. Let y = f + k. Round y to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12011*h - 13956.\nAnswer: -12011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315453783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/34)\/j)\/j*j**10)\/(j**(7\/2))**(-27) assuming j is positive.\nAnswer: j**(1743\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 5 - 8 - 6 - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 2*c - 8*c + 3*c. Let m be j(-1). Suppose -2*u + 6*y - y = -281, 285 = m*u - y. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 2 + -14)\/(413\/36757). Which is greater: h or -977?\nAnswer: -977","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 7*v + 2. Let s be m(6). What is the second derivative of 3*o**4 + 5*o - s*o + 4*o wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 61100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4501917.\nAnswer: 3, 7, 19, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - -5) - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(648)*2)\/(1*(-1*sqrt(54) + sqrt(54)) - sqrt(54))*-4*-6.\nAnswer: -480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2)*80\/(-160)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/154 and -91\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2938, -2942, -2946, -2950?\nAnswer: -2954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5 - g - 3*g**2 + 0*g**2 + g**3 - 2*g**2. Let z be m(5). Is z <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r + 9*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 (base 11) in base 8?\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22043104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 36 + -16 - (0 + -6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 13*a - 27. Let o be g(-3). What is the derivative of 45*u**o - 85*u**3 + 2*u + 38*u**3 + 28 wrt u?\nAnswer: -6*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8380913 and -8380922 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*m - 45, -11 = -2*a - 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.09 + -0.09. Let y = -135 - -133. What is the nearest to -1 in d, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/13 (b) 5 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158184768 by 14.\nAnswer: 11298912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/15 in 2, -4, -13, -13336, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 49*v + 29. Let f be h(13). Calculate the greatest common divisor of 85 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 191 + -189. Let x(o) = 7*o**3 + o**2 - 2*o - 1. Calculate x(q).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-2)*(-131458)\/(-180). Let f = -12050 + v. Calculate the common denominator of f and (-294)\/12 + (-1)\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125\/2358 + -1\/393. Let h = -86203\/9 - -9578. Which is the fourth biggest value? (a) -4 (b) -3\/2 (c) h (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5906 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 7*k + 2205 = 0. Let q = 317 + k. Solve 14 = 4*i + 3*t, -i + 14 = q*i + 4*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v + 8. What is the units digit of o(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-6) + (-8)\/12. Suppose -9 = -p*r - 0. Solve -5*a - 19*a**2 - 5*a**5 + 9*a**2 + 10*a**2 + 10*a**r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/12 - 4*n. Let v(t) = -2*t**2 + 4. Let u(l) = -5*m(l) - v(l). Find the first derivative of u(p) wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + -118 + 121 - 133?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50591791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186229851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Suppose -5*p = 4*d - 40, -4*p + 3 = 2*d - 23. Let a = p + k. Solve -5*m + 28 = -3*t, a*m + 5 = 3*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 5*g**2 + 5*g - 5. Let q(k) = 3*k + 5. Let o be q(8). Suppose 4*h - 17 - o = 5*d, -2*h + 8 = 0. Determine j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9093 is divided by 2394.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*v + 1, 3*j = 4*v + 62. Let a be ((-9)\/(-6))\/(j\/24). Let k(c) = -2*c**2 + 8*c - 3*c + 1 + 3*c**a + 0*c**2. Determine k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 233312342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.7, -4, 11, -2.1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Let z be 0 + (-3 - -3) - -106. Suppose -w*b + 2*b = z. What is b rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 47381488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**3 + 4*j + 7. Let g(v) = -5*v**3 - 2*v**2 + v + 7. Let m(z) = z**2 + z - 1. Let y(p) = 3*g(p) + 6*m(p). What is 13*i(o) - 6*y(o)?\nAnswer: -o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 459932 by 10453.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gttttgttfftottoftgt. What is prob of sequence gffo?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -3. Let m = s + 1. What is the first derivative of -1 - u**2 + u**m + 0 + u**2 wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 180*l**3 - 1125*l**2 - 9750*l.\nAnswer: 3*l*(l - 10)*(l + 5)*(l + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -213\/5 (b) 1080 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5642\/17 - -332. Let r = 3.96 - -0.04. Sort r, o, -0.5 in ascending order.\nAnswer: -0.5, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83\/(-249))\/((-3)\/(-99))*-2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5451 - 5304. What is the greatest common divisor of 252 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9)*(-4)\/(-8)*-21. Suppose 11 = f + m. Solve -3*t + 5*t = w + 8, 0 = 5*w + f*t + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -26 + -35 - 75?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/4*15\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 658759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 742*r - 736*r - 13056. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1382*0.1.\nAnswer: 138.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (-2 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 7*h**2 - 7*h + 8. Let y be z(-8). Solve -5*g + 10 = y, -g = 2*p - 3*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*m - 26. Suppose 0 = -2*p - 7 - 7. Let t = p + m. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - r**2 + r + 1. Let u(k) = 3*k**3 - 13*k**2 + 24*k + 16. Let q(n) = -4*l(n) - u(n). List the prime factors of q(-18).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-63)\/(-2))\/(15\/300). Let t = -625 + s. Put t, 1, 241, 2 in ascending order.\nAnswer: 1, 2, t, 241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1111001110?\nAnswer: -1111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -96, -189, -336, -555, -864, -1281, -1824?\n\"Answer: -3*r**3 - 36*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -72. Suppose 95*t**v + 3*t + 3*t**5 - 83*t**4 - 30*t**2 + 18 - 6*t = 0. What is t?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152)*-2 - sqrt(152))*6 - sqrt(152)*-2*2)\/((sqrt(512)*2 + sqrt(512))*6).\nAnswer: 23*sqrt(19)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2345.4987443 - 2345.5. What is n rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 66. Solve 0 = 7*n - m*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + d)*(0*d**3 + 0*d**3 + 3*d**3).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 356 = -l. Let f = 133 - l. What is the remainder when f is divided by -5*(-9)\/6*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47126 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 257*m**2*o**2*v - 14*m**2*o**2 + m**2*o*v + m**2*o - 577*m*o*v**2 + o**2*v**2 - v wrt o.\nAnswer: 514*m**2*v - 28*m**2 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11700 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4) - ((-50)\/104)\/(-5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/12 and 65\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71016 and 1947?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.769361 rounded to two dps?\nAnswer: -4.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*n + 50 = 10*n, -5*p = 9*n - 84. Solve -p = 37*b - 52 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10339*m**3*z**4 + 612*m**3*z**2 - 2*m**3*z - 361*m**3 + m - 2223*z - 6 wrt z?\nAnswer: -124068*m**3*z**2 + 1224*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27194.96l to millilitres.\nAnswer: 27194960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 - -267. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 426 = -83*k + 85*k, 2*k = 3*j + 432. Calculate the remainder when k is divided by 114.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -1)**2 - (1 + sqrt(7) + -1).\nAnswer: -13*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**4\/4 + 5*o**3\/3 + 3*o**2\/2 - o + 5. Let v be l(-4). Let g = 3 + v. What is the lowest common multiple of 2 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffgfggjgfwgff. What is prob of picking 1 w and 2 f?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61, 69, 89, 127, 189?\n\"Answer: o**3 + o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4088809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19179959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 take away 2279?\nAnswer: -2278.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-7) + (-18)\/(-14))\/7. Which is the closest to 1? (a) -2\/7 (b) u (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 3526?\nAnswer: 35260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 23.8, 4, -2.9, -1\/3, 0.4?\nAnswer: 23.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227 divided by -3?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 109218, 218175, 327120, 436047, 544950, 653823?\n\"Answer: -j**3 + 108964*j + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3444301233 - 4?\nAnswer: 3444301224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -587313\nAnswer: -16\/195771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.82 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 25*l = -29*l - 395 + 1025 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 133, -58, -249?\n\"Answer: -191*a + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 360*q - 740.\nAnswer: 5*(q - 74)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4450000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 2*p**2 + p. Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46940, -46971, -47088, -47333, -47748, -48375, -49256?\nAnswer: -50433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 4 + 7 - 2 + 8*f**2. Suppose -6*b + 132 = -48. Let t be (-34)\/b - (-4)\/30. Determine l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-420)*-12)\/((-2)\/8)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*(12\/21)\/(-2). Let m(i) = b*i**2 + 66*i**2 + 5*i**2 - 11*i - 19. Is m(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4068 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**2\/2 - 13*i - 885. Suppose 2*q = -2*q + 144. Suppose -5*d + 16 + 17 = -2*m, 5*m + 3*d = -q. What is s(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3454 equal to 9983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8181 rounded to 2 decimal places?\nAnswer: 1.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 24 = 2*u, -5*u + 1 = -3*c - 3. Let s be 1\/((-4)\/c) - 2. Suppose -5*y = -s*y + 10. Is y >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 - 2*m + 2. Give z(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 + 6 - 1 - (16 + -24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r**2 + 3*r - 4. Let v(i) = -21*i**2 + 7*i - 9. Determine 9*j(s) - 4*v(s).\nAnswer: -6*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.2, -5\/3, 0.34 in ascending order.\nAnswer: -5\/3, -0.2, 0.1, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 3*o + 3*o + o + 2*o**2 - o + (5*o**2 - 4*o**2 + 0*o**2)*(3 - 3 + 2) + o**2 + 2*o - 2*o to the form m*o + g*o**2 + a and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -535 (base 6) in base 4?\nAnswer: -3023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 + 4*h + 1. Let u(l) = -5*l**4 - 40*l**3 + 65*l**2 + 150*l + 25. Let j(x) = -25*s(x) + u(x). Factor j(b).\nAnswer: -5*b*(b - 5)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 155441?\nAnswer: -155450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*a + 2243 = -318 - 1759 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197288156*m**3 + 864363145*m.\nAnswer: 1183728936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*p - 56, 3*t + 0*t = 2*p + 30 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u. Let w(z) be the second derivative of -z**6\/240 + 17*z**4\/12 + 11*z. Let l(v) be the third derivative of w(v). Determine j(l(k)).\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/((-810)\/4200*(-226)\/3051).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307805473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)\/b)**(-12)*(b*((b*b*b**(-2)*b)\/b*b)\/b*b)\/(b*b**(1\/6)*b*b*b) assuming b is positive.\nAnswer: b**(557\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 3\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261512 (base 8) in base 12?\nAnswer: 15040a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n - 4 + 7 - 3. Let z(t) = -t**2 + 4*t + 2. Let o be z(4). Let d(l) = l**o - 3*l**2 + l**2. Give a(d(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (1*sqrt(80) - sqrt(80)))\/sqrt(10))\/(sqrt(28)\/(sqrt(112) - sqrt(7))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.055 and -441.\nAnswer: -441.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -6 + 16 + -42 + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/5 + 12288*q\/5 - 49184\/5 = 0. What is q?\nAnswer: -6148, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4)\/(-4 + 959\/196 + -1). Solve -4*k = -3*p - j, 3*k = -4*p + 13 + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 173102 and 0.07.\nAnswer: 12117.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 60*t**3 + 11 + 126*t**3 + t**2 - t**2 - 2*t**3 + 4*t**3 + 2*t**3 - 4*t**3 + (2*t**3 + t**2 - t**2)*(1 + 1 + 0) + 2*t + t**3 - 2*t.\nAnswer: 71*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**5\/60 - f**3\/3 + 38*f**2. Let a = -56 + 58. Let q(j) = -2*j**2 - 4. Calculate a*q(x) - 5*p(x).\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -27484.\nAnswer: 137420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -57, 5, 3, -0.71, 0.01, 0?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -713*n**3 + 14187*n**2.\nAnswer: -4278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -502919 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.1. Let j(t) = -2*t - 6. Let i be 186\/(-42) - 6\/(-14). Let q be j(i). Which is greater: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 + 65. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 3*q + 0*q)*(-q - 2*q + 2*q) + (-2*q + 0 + 0)*(12*q - 10*q + 8*q) - 2*q + 2*q + q**2.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, b: 5, o: 1, e: 4}. Give prob of picking 1 o and 2 e.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 x, and 2 s when four letters picked without replacement from {b: 1, d: 1, m: 1, x: 1, s: 2, g: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, v: 1, b: 1, s: 1, u: 1, r: 3}. What is prob of sequence pu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(2\/21)*z*z**(1\/2))**(-10))**34 assuming z is positive.\nAnswer: z**(-24310\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 - (-2 - -3) - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -70. Which is the closest to 1? (a) -0.2 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -269451 + 7*g + 269473 - g**2 + 0*g**2 as c*g**2 + o + n*g and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1226 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 62*p**2 + 784*p + 146. Give y(-12).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 - -90. Calculate the remainder when 100 is divided by (-13)\/((-6)\/(m + 24)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32518778203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 2, 40, 7 in decreasing order.\nAnswer: 40, 7, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12*m - 17. What is j(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 60. Which is the biggest value? (a) -0.3 (b) 17 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/249216 and -115\/31152?\nAnswer: 249216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8.86 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -81 (base 9) to base 7\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1. Let y(f) = -f - 5. Let s(d) = -4*j(d) + y(d). Suppose -o - 2*i - 8 + 11 = 0, -4*o = -4*i. Give s(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + 6 - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-12)\/(-3)))\/(-6)*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -25. Which is the closest to f? (a) -2 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6ddd7 + -18?\nAnswer: -6de00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 11*i**2 - i + 9. Let q be s(11). Let m be q\/(-15)*(-4 - -9). Let m + 2\/3*u**2 + 4\/3*u = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1702305 and 25425?\nAnswer: 961802325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*b + 6 = 108*b + 4*d, -5*b - 4*d + 22 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 10*f**2 + 10*f + 6. Suppose 0*s - 36 = -4*s. Let o be r(s). Suppose 0 = 3*p - 4*d - 21, 0*p - o = -2*p + 3*d. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6212?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(2\/13))\/v)**(-21)*v**(2\/3)\/v**(-8))**(-9))**(-40) assuming v is positive.\nAnswer: v**(55680\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.038.\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52324440 divided by 140280.\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2597 + 87*l**2 + 3*l**3 + 4682 - 2356 wrt l.\nAnswer: 9*l**2 + 174*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, and 1 e when three letters picked without replacement from {c: 1, p: 6, y: 2, e: 1, i: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-540)\/24)\/((-2)\/4). Let x = -32 + p. Solve 0*l - 4*l = -k + x, k = -l - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20931188.\nAnswer: 2, 2207, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 66*u + 4.\nAnswer: -66*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 + 52*v**4 + 228*v**3 + 396*v**2 + 216*v = 0.\nAnswer: -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1130196 less than or equal to -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 2*x**2 - 4*x - 2. Let b be g(4). Suppose -93 = -8*w - 23*w. Find the third derivative of b*d**3 - 45*d + 45*d + 10*d**2 + 6*d**w wrt d.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/10 + 2 + -5. Sort 1\/5, 0.4, d in ascending order.\nAnswer: d, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.43 - -0.03. Let n = 0.07 + 1.33. Let t = n + o. Which is the third biggest value? (a) t (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, o: 11, y: 1}. What is prob of sequence yo?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 291 or 8261\/10?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 18955748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b*n**2*q**2 - b*r - 4*n**2*q**2*r - 2*n**2 - 2*q**2*r + 8*q*r + 7*r wrt q.\nAnswer: -12*b*n**2 - 8*n**2*r - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211321 (base 4) to base 16.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12813, -49159, -109759, -194613, -303721, -437083?\nAnswer: -594699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lleeeee. Give prob of sequence ll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 26 + -22 + -4 + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39.1 + -39. Let w = -141 - -137. What is the third smallest value in 8, h, w, -1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35643 and 2725?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2\/5 + 116*i\/5 - 366\/5 = 0.\nAnswer: -61, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/120 - 11*f**5\/60 + 11*f**4\/24 - 5*f**3\/3 - 2*f**2 + 5*f. What is y(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - k**2 + 2*k**2 + (3*k - k + 0*k)*(0 + 2*k + 0) - 2*k**2 + 7*k**2 - 2*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 65.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504780 and 9666.\nAnswer: 4543020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846 + 2421 = 679*c - 800*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4263981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 21949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 923115*x**4 + 1141272 wrt x?\nAnswer: 3692460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 1 - 5*u**3 + 3 + 3*u - u + 3*u**3 in the form q*u**3 + v*u + s + z*u**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1033, 1071, 1109, 1147, 1185?\n\"Answer: 38*c + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 65, -0.08, -0.2.\nAnswer: -1, -0.2, -0.08, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21660 = -34*b + 57734. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 3) + 12194\/(-7). Let o = q + 3004. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 539429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*n, 4*i - n = i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7661332 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2134 - 407635?\nAnswer: -405501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -74*m + 122. Let w(z) = -11*z**2 - 2. What is d(w(t))?\nAnswer: 814*t**2 + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050962 rounded to four decimal places?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71395356?\nAnswer: 2, 3, 31, 281, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -30462?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49c - 2a?\nAnswer: -4c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**3 - 35*d**2 + 80*d - 60 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 15 - 7)*((2 - i - 2)*(-1 - 2 + 2) - 34 - 19*i + 34)*(-2 - i + 6*i - 3*i).\nAnswer: -2196*i**2 + 2196*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/982354 and -57\/1474?\nAnswer: 10805894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10b - 6?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 17 = 2*v, 31*v - 5*h = 26*v + 20 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -121*b**2 - 3*b - 75. Let g(u) = 88*u**2 + 4*u + 20*u**2 + 0*u + 75 + 13*u**2. Let y(x) = -3*g(x) - 4*p(x). Differentiate y(r) wrt r.\nAnswer: 242*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -1, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*g - 4*i - i, -2*g - 5*i = -14. Suppose -3*z + 8 - 2 = 5*h, -z + g = 3*h. Let r = 5 - z. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 545791832 and -17152.\nAnswer: 545774680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooloylykloyokllk. Give prob of sequence ykok.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.72 + -11. Let d = 1.02 - n. Let y = 0.7 + -0.2. Put y, d, 1 in increasing order.\nAnswer: d, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(3\/8)))**(-2\/35)\/(h**(-3\/2))**(-18))**10 assuming h is positive.\nAnswer: h**(-3777\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 168, 4, 0, 3 in ascending order.\nAnswer: -4, 0, 3, 4, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -6*q + 0 + 1\/2*q**2. Let d(k) = -2*k**2 - 6. Determine -6*a(s) - d(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + 114\/(-12) + (-1)\/(-2). What is the nearest to c in -4\/7, 0.2, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233 at most as big as 6233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -2) + (2 - 8). Let k(n) = 5*n - 6. Let m(c) = 11*c + 3*c - 5*c - 12. Let h(t) = g*m(t) + 11*k(t). What is the derivative of h(i) wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 156491 and -60?\nAnswer: -9389460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.2 - -9.1. Let o = -0.46 + -0.04. Which is the nearest to q? (a) o (b) 0.2 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22071 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4293833917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 173453769.\nAnswer: 1214176383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 - 1220\/(-120))*10. What is the nearest to -1 in a, -5, -1\/3, 464?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-3)\/2)\/(3\/365172*(14 - 17))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22035 and 460560?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -41, 6, -0.3, 0.5, 0.01, -42, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 182*x**2. Let y(f) = -3*f + 4*f - 4*f + 11*f - 11*f. Determine y(u(t)).\nAnswer: -546*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 247 by 2550.\nAnswer: 247\/2550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/5 + 2500*j**2 + 12486*j\/5 - 74988\/5 = 0. Calculate j.\nAnswer: -6249, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than or equal to -10.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -945?\nAnswer: -66.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104883 by -3.\nAnswer: -34961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - m - 4. Let r be x(3). Suppose -146*s + 152*s - 690 = 0. Let o = 127 - s. Calculate the highest common factor of o and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 3532474?\nAnswer: -3532474.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -269, -530, -789, -1046, -1301, -1554?\n\"Answer: y**2 - 264*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/1540 + (-2)\/(-15) and -47\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y - 43. Let v = y - 17. Which is smaller: v or 11\/18?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-2*x + 2*x + x) + (-4 - 11 + 6)*(-4 + 2 + 0)*(x + 3*x - 2*x).\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 - 6193 - 4*n**4 + 4*n**2 + n + 6188 as z + r*n**4 + t*n + k*n**2 + p*n**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62512377002 + 1285879594678009\/20570. Let r = -12\/2057 - k. What is the common denominator of r and 47\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4617 - 998 = 11*k. What are the prime factors of k?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 12:43 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6613953?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*w - 1056, 5 = -3*w + 2. Is b\/6*6\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 5) to base 2.\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 0, -p + 7 = -5*o + 24. Let x be o + 144008 - (-1 - 0). Suppose 2*v + 216008 = -v + 2*u, 2*v + x = 3*u. What is v rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5*(3 + -8). Suppose -d - 6 = 3*c, -4*d + y*d - c = 2. Solve d*k**2 + 0*k - 1\/4*k**3 + 0 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:08 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 33*j - 5. Let c be t(11). Let f(l) = -2*l**2 - 5*l - 3. Calculate f(c).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/8 - 10*h**3 + 117*h**2\/4 - 29*h - 828. Let i(f) = 0. What is f?\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x - 6. Let w(c) = -c - 1. Let t(s) = 5. Let p(v) = -t(v) - 3*w(v). Suppose 0*i - 20 = 5*i. Let g be 40\/(-15)*(-9)\/i. Give g*o(b) + 17*p(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127\/2 - 65. Sort -1\/6, v, 18, -1\/4 in increasing order.\nAnswer: v, -1\/4, -1\/6, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.461225t in micrograms?\nAnswer: 3461225000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 875437*t - 10*t**2 - 438139*t - 438248*t in the form s*t + u*t**2 + g and give s.\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -490 in 2\/9, 2, 2\/7, 3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 237752 or 237760?\nAnswer: 237760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(441)*-5 - sqrt(49) - sqrt(49))\/(sqrt(112) + (sqrt(112) - sqrt(112)*-1) - sqrt(7)))**2.\nAnswer: -102*sqrt(7)\/11 + 3112\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3528 at most -179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - -15) + -21 + -24 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*s + 34838 + 26427 = -260*s + 17015 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - z + 10 = 4*o, 4*o + 5*z = 32. Suppose -x - 6 = -2*x. Suppose x*r - 16 = -2*r. Solve r = -q + o*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 447*n**4 + 4*n**3 - n**3 - 450*n**4 - 5 - 11*n**2 - 5*n**3 to k*n**2 + h*n**4 + u + o*n + y*n**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 147*z**2 - 2*z - 16. What is the tens digit of t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-22))\/(15 + 4609\/(-308))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -228820*k**2. Let b(s) = 2*s. Determine w(b(q)).\nAnswer: -915280*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 3*l**3 + 29 - 27 + l - 2*l**4 in the form n*l**4 + v*l**3 + o + k*l + h*l**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17012201 (base 8) in base 6?\nAnswer: 220220425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.75 + -0.85. Sort -1\/7, h, -5 in descending order.\nAnswer: h, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/9, 0.1, 3714?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 250989 + -5?\nAnswer: 250984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1568 and 4472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-7)*h*h)\/h*h**(-1\/5)*(h*h**3)\/h*h**(2\/5))**33)**(-3\/2) assuming h is positive.\nAnswer: h**(693\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102201130 - -222?\nAnswer: -102200302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 1\/7*t**4 - 3 - 1\/21*t**6 + 0*t + 0*t**3 - 1\/7*t**2 + 0*t**5. Factor g(n).\nAnswer: -2*n*(n - 1)**2*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 91, -63, -22, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -2.092553.\nAnswer: -2.392553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2 + 51484*g = 0.\nAnswer: 0, 12871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:51 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*l + 64. Let f(w) = -4*w**3 - 5*w**2 + 5*w - 5. Let o(s) = -6*s**3 - 8*s**2 + 8*s - 8. What is l*f(u) + 5*o(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q. Let t(j) = -3*j**2 - 2*j. Calculate 2*p(r) + t(r).\nAnswer: -r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/(-10) + 2\/(-5). Let q = 179 + -175. Suppose q*r - f = -24 - 5, -w*r = -2*f + 34. Let b(i) = -i. Give b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2376 and -101\/648.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100010010 + -10111?\nAnswer: 111011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 24*f + 29. Let q be y(25). Let n(u) be the second derivative of 0 + 0*u**2 - 1\/12*u**q + 1\/2*u**3 + u. Factor n(b).\nAnswer: -b*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603 take away 1685?\nAnswer: -4288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513378 and 1539?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31563, 31542, 31535, 31548, 31587?\n\"Answer: y**3 + y**2 - 31*y + 31592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -164880 (b) 3.3 (c) -0.4 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0*b + 2\/3*b**3 + 2\/105*b**7 - 4*b**2 + 0 + 0*b**6 + 0*b**5 + 0*b**4. Differentiate d(n) with respect to n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoogrpxxkgox. Give prob of sequence op.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6) + 3042\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*f = -1438 - 639 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 2:10 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 - 2*y**2 - 2 - 2 - 5*y. Let c(v) = -v**2 + v + 1. Let r(n) = 4*c(n) + k(n). Find the second derivative of r(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*r - 7. Suppose -15 = -37*b - 52. Suppose 4*u = -u - 10. Put 5, u, b, r in descending order.\nAnswer: 5, b, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + 1 + sqrt(405) + -2)**2.\nAnswer: 108*sqrt(5) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 892.17 - 892.21. Let d = -2 - -3. What is the nearest to d in 0.1, f, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**6\/360 + y**5\/24 + y**4\/24 - 13*y**3 - 13. Let p(m) be the third derivative of h(m). Determine p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 12:56 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/70*3)\/((-5)\/((-75)\/3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*v - 154, -3*v = -5*g - v + 423. What are the prime factors of g?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 88 = -0*f. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 188299*q + 564749. What is w(-3)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -300, -2, 5, -6, 650 in descending order.\nAnswer: 650, 5, -1, -2, -6, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 2\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmzzmzzzzzzzzjz. Give prob of sequence mzzz.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3608 + 198509\/55. Let q = 669819\/40 + -16745. Find the common denominator of h and q.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**3 + 23*z**2 + 7*z - 22. Let t(x) = -4*x**3 + 12*x**2 + 4*x - 11. Let r(a) = 3*h(a) - 5*t(a). Calculate r(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/70 + 46\/10. Let k(u) = u**3 + 8*u**2 - 8*u - 3. Let v be k(-9). Let p be ((-16)\/v)\/(a\/330). What is the highest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81028.581 rounded to the nearest one hundred?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 26*l**2 - 72*l - 372. Give q(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98015949460 rounded to the nearest one million?\nAnswer: 98016000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + -1579 + 1587 - -17\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-21)\/28). Suppose -i*o + 2*c = 10, 4*c - 15 = o - 2*o. Is o\/(3*4\/(-3108)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 245.34 - 222. Let x = b + -23. Let o = x + 0.06. Sort o, -4, 2\/3 in descending order.\nAnswer: 2\/3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*j - 151 - 179 = -30*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51698 or 4069?\nAnswer: 4069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28825 is divided by 14380.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 303824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 54. What is the least common multiple of u and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-293947)\/(-119))\/(1\/7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 35*j + 25*j - j**3 - 71*j to the form m*j + c*j**2 + l*j**3 + k and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 168 = 7*x - 2*x. Calculate the greatest common divisor of x and 1408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/4 + 71581*g**3 + 5123982721*g**2 + 20495071920*g + 20494785600 = 0.\nAnswer: -143160, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 935522 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -545*t - 13059. Determine w(-24).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -4)\/((-10906)\/1216 + 9\/(-15)*-15).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4182 or -1?\nAnswer: -1\/4182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 3*j - 9*j)*(-3*j**2 - j**2 + j**2) - 8*j**3 - 6*j + 6*j - 3*j**3 + j**3 + 4*j**3.\nAnswer: 27*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33252461 - -11.88.\nAnswer: 33252472.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5663, 45805, 155161, 368465, 720451?\n\"Answer: 5789*y**3 - 127*y**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 34*v + 30*v - 15, 2*v = -2*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxzxxxxxrxxx. Give prob of picking 2 x.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1 + 12*j**2 - j + 0*j + 2*j. Let p be h(1). Let y be (-7 - -12) + (1 - -1)*-1. Solve p = -y*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/6 + (-5)\/(-30). Suppose -3*c - 13 = -5*t, 2*c + z*t = t + 33. Let k(q) = -7 - 2*q + 3*q - 9 + c. Calculate k(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6\/13, 0.02, 0.4, -1\/3, -2\/9, 0.15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33668874 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/16 and (-9)\/(-9) - 158\/(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -133. Let w = b + -54.7. What is w rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6*r + 12, -5*r - 66 = -2*k. Calculate the remainder when k is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-210.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21898529389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/120)\/(18\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 2. Let w(y) = -89*y + 80*y + 47 - 82 - 46*y - 71. Let q be w(-2). What is j(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.9. Let q = 46 + -46.33. Let u = q - 0.17. Which is the closest to v? (a) 12 (b) 1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 + (0 - (-1 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*c - 3. Suppose 3*g + c*g = 12. Is 18 a factor of (-18)\/g*(-9 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, 0, -3, 14, -426 in decreasing order.\nAnswer: 14, 3, 1, 0, -1, -3, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 x when three letters picked without replacement from jheexekbxbeeebkkeex?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w + 12*w**3 + 7*w - 11*w**3.\nAnswer: w**3 + 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -7 (c) 78 (d) 24\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467243417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y. Let r(d) = -489*d**2 - 5*d. Let g(t) = 47922*t**2 + 489*t. Let v(l) = -5*g(l) - 489*r(l). Give v(p(q)).\nAnswer: -489*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(5) + sqrt(15))\/(sqrt(147)*2 - sqrt(3)).\nAnswer: 3*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3019 divided by -4?\nAnswer: 3019\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127 by 127.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -749 + 748.9. Let z(t) = 73*t. Let w be z(1). Let l = w + -221\/3. Which is the nearest to m? (a) 3 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*c - 16 = -126*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 5, c: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kyyjysyykkkyyyjyysyk. What is prob of sequence skjy?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13665238*u**4 - 15035025*u?\nAnswer: 163982856*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 368170*s**3*u**2 - 2*s**3 - 50*s**2 - 28*s + 2 wrt u?\nAnswer: 736340*s**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u + 23485 - 73978 = -24085 - 24776 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 256?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/43)\/(z*(((z*z**(-15))\/z)\/z)\/z))\/(z**(1\/5))**(2\/81) assuming z is positive.\nAnswer: z**(279364\/17415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-26)*44720\/(-1290).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 5*h - 4*h)*(31*h - 13*h + 153*h) + 0*h + 2*h**2 + 0*h + (0 + 3 - 5)*(2*h**2 - 2*h**2 - 2*h**2) + 3*h + h**2 - 3*h + 2*h**2 - 2*h**2 + h**2.\nAnswer: 179*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -2, 80476?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 20*n**2. Let f(m) = -30*m**2. Determine f(k(w)).\nAnswer: -12000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4310000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.068 and -461.96796151.\nAnswer: -462.03596151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 2:45 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -647, -585, -535, -503, -495, -517?\n\"Answer: -c**3 + 69*c - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 21. List the prime factors of (-21)\/14*(-16)\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -801 + -17?\nAnswer: -818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1376, 1, 0 in ascending order.\nAnswer: -1376, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -46. Suppose 7*h + y = 8*h. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**3 + 8*i**3 + 3*i**2 + 0*i**3)*(4*i + 0*i - 2*i).\nAnswer: 4*i**4 + 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30264809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 233333 - 233297.0073. Let g = -36 + b. What is g rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 11*f**2 - 106*f + 1176. Calculate p(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141125559\/752 - 187667. Calculate the common denominator of q and -63\/1034.\nAnswer: 8272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 2. Suppose 0 = c - x + 9, 4*c - 5*x = -14 - 25. Determine u(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 1 + 2*b**2 - 3*b - 4 as s*b + v + h*b**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3478\/111)\/47*24\/(-76)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2228443923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1 - (-164)\/(-162)). Let y(s) = -69*s**2 + 686*s + 43. Let l be y(10). Put 5, l, j, -5 in increasing order.\nAnswer: -5, l, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14871, 0.4, 0.6 in descending order.\nAnswer: 14871, 0.6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1534537 by -5.\nAnswer: -1534537\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -408.89 - 496.337\nAnswer: -905.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/((-312)\/117*-2*(-33)\/88).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 + 4014013000?\nAnswer: 4014012324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 13 = 17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (9 + -17 - -16 - 8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -532? (a) 3 (b) -0.5 (c) -5 (d) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 1874*n**2 + 5608*n - 3736.\nAnswer: 2*(n - 934)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, y: 2, x: 1, n: 4}. Give prob of sequence yx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 4*b - 2*b + 28, 5*b + 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42318 - -0.1767.\nAnswer: 42318.1767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*s = 1 - 18, 0 = -3*s - 12. Let r = 50992 + -50991.8. What is the nearest to 0.3 in r, 0.5, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*u + 25, 5*a - 2*u = -3*u + 21. Suppose -3*s - 7 = 4*q, 0*s = 4*s + a*q + 12. Let g be 4 + -4 + (6 - 1). Put s, -1, g in ascending order.\nAnswer: s, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 321 - 321.181. Let h = 0.119 - k. Let x be (-3)\/7*2\/12. Put 3, h, -2\/7, x in descending order.\nAnswer: 3, h, x, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(162\/(-84)))\/(2\/207). Let l = i - 216. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 1536 - 1546 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f**4 + 1\/6*f**3 + 0 - 2*f**2 + 1\/30*f**5 + 0*f. What is the units digit of h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(-7)\/o))*o**1)\/(o\/(o*o*o\/((o*o*o**0)\/o)))**(-2\/23))**(-31) assuming o is positive.\nAnswer: o**(5053\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27968)\/(-544))\/(-23) + (2 - 0)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 + -10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yey when three letters picked without replacement from {j: 1, y: 4, e: 1, z: 1, h: 5, m: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopoosopospdoooo. What is prob of picking 1 d and 1 s?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -4. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6, -4*p - g + 2*g = -50. Solve 3*s = 5*o - 3*o - p, -20 = 4*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*24226298\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*g**5 + 2*g - 3*g + 4*g - 12*g**5 wrt g.\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155460 by -15.\nAnswer: 10364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/30*-5)\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 1 (b) -2\/7 (c) -0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-1806)\/(-14)))\/(9\/9)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - p + 49 = 0, -5*x + 5*p - 4*p = 61. Let i be (2\/106)\/(3 + 30\/x). Is i at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 2*k**3 + 7*k**2\/2 - 6*k - 9929. Let r(o) = -3*o**2 - 3*o + 3. What is -9*r(d) - 4*x(d)?\nAnswer: 3*d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 6*z**2 + 6*z + 2. What is j(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t = -25*t + 16. Let r = t - -14. Let p be (35\/70)\/((-5)\/r + 1). Solve f - 5 = 0, p*a + 4 + 3 = 2*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - k - 2. Suppose -56*d = d - 399. Let h(v) = -v**2 - 2*v - 4. Determine d*s(z) - 4*h(z).\nAnswer: -3*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**2. Suppose 3*r - 9 + 6 = -5*s, 0 = s + r - 1. Let z(p) be the first derivative of s*p + 1\/2*p**2 - 5. What is t(z(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -273.678 - 2667.\nAnswer: -2940.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -173 (b) -0.4 (c) 2.851\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*y - 3*h, -3*y - h + 5*h = -14. Let f = 91 + y. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 + 203. Let x be (2\/4)\/(2\/k). Let n be (-249)\/(-27) + (-6)\/x. What is the highest common factor of 63 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 728498 and 1805?\nAnswer: 3642490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -74, -38, 34, 154, 334, 586, 922?\nAnswer: 1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 138*h - 140*h, -5*h = 9*b + b - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 + -77 + 366 + -98?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (sqrt(300) + sqrt(300) + 1 + 4))**2 - ((sqrt(48)*1)**2 + (sqrt(108)\/sqrt(4))**2).\nAnswer: 100*sqrt(3) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/55, -347, -2.9?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 - 0)*(-15)\/24)\/((-12)\/48)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1793 and 826084?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1157, 0.03?\nAnswer: 1157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 314866 divided by -188?\nAnswer: -157433\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**11)\/b**(1\/10)*b**(-1)*b\/(b**(-5\/3)*b*b)*b)**(-1) assuming b is positive.\nAnswer: b**(-377\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 14 - -12 - -29\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*b + 4. Suppose 0 = -1500*r + 1416*r + 336. Solve 0 = -5*s + i + 19, -3*i = r*s - b*i - 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 843.0159 + -0.0159. Let m = 841.863 - j. Round m to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z. Let p(q) = 2*q. Let d(y) = -6*a(y) - 13*p(y). Suppose -5*n + n = -40. Suppose -3*u + 7 = -n*u. Let w(b) = -b**2 + 1. Calculate u*d(s) + 2*w(s).\nAnswer: -2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6685 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 2*g**3 - 7*g**3 - 1)*(0*g - g + 4*g).\nAnswer: -15*g**4 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -136037, -272063, -408083, -544091, -680081, -816047, -951983, -1087883?\n\"Answer: w**3 - 3*w**2 - 136024*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 64, 154, 272, 412?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67529314\/2855 - -23653. Let t = -202689\/45680 - l. What is the common denominator of t and 436\/(-24) + 6\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-3))\/5*(-6)\/210*-21?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Suppose -4 - 4 = -4*u, q*x + 2 = u. Solve x = -4*d - 20 - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36642 - 5613?\nAnswer: 31026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 16. Suppose o - 97 = -39. Suppose -2*g - o = -5*r, -2*r + t*g = 3*g - 21. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 + -162.4. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302318.4 kilometers to nanometers.\nAnswer: 302318400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2c0892 (base 13) to base 2\nAnswer: -100001001010101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -21*m + 53. Let z be w(-17). Let n = z - 2873\/7. Which is the second smallest value? (a) 2 (b) n (c) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 4:40 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100370 by -20074.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0951 + -443.0951. Let g = z - -443.000000811. What is g rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*t**6 - 24*t**2 wrt t?\nAnswer: 5640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -327? (a) -0.4 (b) 1\/13 (c) 3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -19*j**2 - 5*j. Let n = 10414 + -10409. Let y(l) = 0 + 29*l**2 + 8*l - 3 + 3. What is n*y(m) + 8*z(m)?\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11866157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/6 + -1)*-2. What is the second smallest value in u, 8, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 161893107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 134*n + 132*n - 267*n. What is the smallest value in 0.2, 59, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57254757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 17 and 225\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*x - 39, 39 - 52 = 2*s - x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -644 + 744?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(153) - 4*(-1 + sqrt(153) - sqrt(153))) - (sqrt(153) + (sqrt(153) + 1)*-5 - 2*(-1 + sqrt(153))))*2)**2*4.\nAnswer: -480*sqrt(17) + 61216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 x when four letters picked without replacement from exxeeexfxeegxexgehx.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23140 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13111915 (b) -0.2 (c) -2\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 19. Suppose 4*j = 13 - 1, -5*l = -4*j - 63. Let s be t(l). Let x(q) = q**3 + 3*q**2 - 3*q + 4. Let v be x(s). Solve k - 1 + 2 = v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -2, -1, 8604?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.2028 rounded to one dp?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 99319290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + -2 + (sqrt(242)*1)**2 + (sqrt(242) - -3*sqrt(242)*-2 - sqrt(242)).\nAnswer: -55*sqrt(2) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -428, -853, -1278, -1703?\n\"Answer: -425*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 110. Let c(u) = 55. Let b(l) = -5*c(l) + 2*x(l). Let y be b(-23). Let s(t) = -14*t - 48. List the prime factors of s(y).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 678773418?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/(-108)*(-3)\/(-9)*0. Let j(u) be the third derivative of 0*u**3 + 0 + k*u + 3*u**2 + 1\/12*u**4. Let p(r) = 3*r. Give j(p(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-808)\/(3 + -3 - -1). Let y be (j\/(-12))\/((-2)\/3). What is the tens digit of (-1 + 4 + -5 + y)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w. Let n(a) = 5*a**3 + 10*a. What is -6*h(k) + n(k)?\nAnswer: -k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1028262, 2057131, 3085998, 4114863, 5143726, 6172587?\n\"Answer: -b**2 + 1028872*b - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (46\/(-69))\/(1\/(-54)). Is 12\/(-4) + -4 + y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 545 and 15696.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 163 = -5*v, 10 = 4*d - 2*v - 356. Calculate the remainder when d is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -220*r**2 + 2*r. Let c be b(5). What is c rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from ssssyny.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 687*v - 21. What is l(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3 (c) 0.2 (d) 2\/9 (e) -2\/467 (f) 0.778\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 63 + -43 - (0 + 0 - -3 - 44)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*(-34)\/7752*7\/(315\/(-40))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*p - 32, -3*p + 10 = 2*p - 5*j. Let b be (p\/9)\/((-2)\/(-42)). Let k = -2 + b. Solve 3*t - k = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.093 in -4, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89768 divided by 4?\nAnswer: 22442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 23880*g + 47521200.\nAnswer: 3*(g - 3980)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 8}. What is prob of sequence ff?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*x**2 + 33 - 33)*(4*x - 2*x + 0*x) - 6*x + 6*x - 2*x**3)*(0 - 6 + 4 - 1 - 2 + 4 + (-3 + 7 - 2)*(2 - 3 - 1) + 5 - 3 - 3 - 2 - 1 + 2)*(-1 - 1 + 0).\nAnswer: -196*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*k + 3, -5*k = 5*q + 13 - 43. Solve 2*h + 0*h + 7 = -k*x, -9 = 3*h + 4*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47975932 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18393 and -0.2?\nAnswer: 3678.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 + (-56)\/(-6). Let q(p) = -p**3 - 6*p**2 - 4*p - 4. Let b be 20\/(-5 - 0) - 0. Let o(v) = -2*v**3 - 13*v**2 - 9*v - 9. Determine b*o(i) + u*q(i).\nAnswer: -i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - 0.05. Let u = k + 3.1. Let w = -0.2 - -0.1. Which is smaller: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 2:15 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 318*i + 6*i**2 + 619*i - 311*i)*(-2*i - i - i).\nAnswer: -24*i**3 + 40*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1012734203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (12530\/29535)\/((-6)\/(-1287))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 1, s: 1, z: 1, r: 1, p: 1}. What is prob of picking 1 j and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18224694 divided by 2?\nAnswer: 9112347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 341791332 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 524843 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**4\/12 - 2*r**3\/3 - 2*r**2 - r. Let p = -11 + 26. Suppose -c + p = 2*c. Give w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 8 = 5*k, -k = -3*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6341 and 209491?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-3)\/9 + (-35)\/(-60)). Let x(q) = -b - 2 - 2*q - 2. Give x(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 + 22 - 8 + 7.\nAnswer: 18*i**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 453180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 324848 divided by -16?\nAnswer: -20303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5035*l**2*r - 4*l*r + l - 394*r - 2 wrt l.\nAnswer: -10070*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010011 (base 2) to base 11.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*v**3*w**3*x - 6*v**3*w + 91*v**3*x**2 - 43*v**2*w*x**2 + v**2*w + 2*w**3*x**2 + 2*x**2 wrt v.\nAnswer: 60*w**3*x - 36*w + 546*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -19 (b) -3\/4 (c) -5 (d) 1960\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 370 = 5*s - 26, -2*s - 3*h = -150. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6343265509 and -7489.\nAnswer: -6343272998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31365 (base 9) to base 15.\nAnswer: -620e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 13 (c) -1 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 79 = 3*k - 202, k = 5*j + 287. Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*a - 25 = 0, 4*f = -5*a + 61 + 14. Let h = f + 1. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1035*-10*(-12)\/(-32)*2?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/604 and 119\/207840.\nAnswer: 31383840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -14. Let h = g - -4.5. Which is the nearest to 0.4? (a) 2 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*s = -15, 551 = -61*i + 18*s - 17*s for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**4 - 13*w**2 - 83*w**3 + 168*w**3 - 3*w**2 - 87*w**3 - 16*w**2 to v*w**3 + f*w**2 + d*w + x*w**4 + q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 2 + 5*t - 56*t**2 + 13*t**2 - 5*t.\nAnswer: -47*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t + 1. Let w be 1*(3 - (-1 + -1)). Let g(y) = -y**2 + y. Let a(i) = -2*i**2 + i + 4. Let m(l) = w*g(l) - a(l). What is -m(q) - 4*o(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1. Suppose 3*g + 12 = 15. Let o(y) = -780 - 783 + 2338 - 780 + y. Calculate g*o(z) - 6*l(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13406*w + 729. Is q(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64749400 to the nearest 100000.\nAnswer: -64700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 34*c**2 + 65*c - 29. Suppose 22*b - 412 = 292. Let y be m(b). Solve k = y*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**3 + 2*i**4 + i**4 + 5*i**3)*(-28 + 12 - 11) in the form t*i**3 + n*i + g*i**2 + q + f*i**4 and give f.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1757*w**5 - 2294*w**4 + 5134*w**2 + 30?\nAnswer: -105420*w**2 - 55056*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 5*n - 26. What is the units digit of k(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 12 + 5 - 30) + 2 - -68?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:26 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 21*v**2 - v - 27. Let q be l(-21). Let m(s) = 2*s**2 + 6. Let w(o) = 3*o**2 + 7. Calculate q*m(f) + 5*w(f).\nAnswer: 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 2*j**2 - 3*j + 2. Suppose 0 = 3*y - 2 - 7. Let p be x(y). Let m(r) = -r + 1. Give m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13950 + 13526 - 27476 - 147*m.\nAnswer: -147*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 111102211221 (base 3) to base 8\nAnswer: 1004505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) 0 (c) 23\/5 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -7220.\nAnswer: 1\/7220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 458881227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9142*t**2 + 9145*t**2 - 6 + 1.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 60*i + 2. List the prime factors of j(2).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -42*235\/(-10)*1\/3. Let u = -139 + j. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059954447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2278 + -3562. What is the units digit of ((-21)\/14)\/(9\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.4. Let v = -211 - -259. Let n = v + -48.2. Sort -1\/6, o, n in descending order.\nAnswer: o, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goofwoofwoowl. Give prob of sequence fgof.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 26*q. Let w(b) = -26*b. Let y be (0 - 6)\/(8\/(120\/(-15))). Calculate y*w(d) + 5*s(d).\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 77*z + 582. Give l(-12).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 16. Calculate the remainder when 125 is divided by u(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1449, -2842, -4181, -5466, -6697, -7874?\n\"Answer: 27*s**2 - 1474*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 0 - 7\/3*q**7 + 0*q**3 - 7\/5*q**6 - 3*q + 12\/5*q**5 - 2\/3*q**4 + 0*q**2. Factor o(n).\nAnswer: -2*n**2*(n + 1)*(7*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (-74 - -58) - (1 - -15)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f + 1780 = 40*f. Let s = 449 + f. Solve 7*g - 4*g = s*i + 11, -5*i + 3*g = 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u**0)**(2\/35) assuming u is positive.\nAnswer: u**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 - -169. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2151628 * 4.\nAnswer: 8606512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/66 and 16\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkghhkhxh. Give prob of sequence gh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 485. Let f(k) = -14*k**2 - 5*k - 60. Let r(o) = 6*o**2 + 2*o + 24. Let t(u) = -2*f(u) - 5*r(u). Give p(t(h)).\nAnswer: 2*h**2 + 485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33963 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 4:36 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 1. Suppose -3*x = -4*x - 9. Let d be (-47)\/x + (-2)\/g. Solve -d*c + 2*t = 0, -2*c - 2*c = -2*t + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 614308?\nAnswer: 614308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36800 and 9664.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5902*s**2 - 78380?\nAnswer: 11804*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1\/6 (b) 0.3 (c) -587135\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.6169831 to two decimal places.\nAnswer: 14.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**5 - 7172*b**4 - 95*b**3 - 623*b**2 + 239*b - 4?\nAnswer: -240*b**2 - 172128*b - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - k + k**3 - 3*k**3 + 3*k**3 - 3*k**3 + (4 - 3 + 1)*(-3 + 3 - k**3) - 2*k**3 - 3 + 3 + (-12 - 1 - 8)*(-k**3 - 3*k**3 + 3*k**3).\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d - 5. Let m(b) = b - 1. Suppose 23*k = 15*k + 16. Let c(y) = k*m(y) + j(y). Determine c(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 938*t + 149140. Calculate k(-159).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 - 3*z + 4*z**4 + 3 + z - 2 - 5*z**2 in the form q + b*z**4 + d*z + r*z**3 + m*z**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*i + 4*z, 4*i + z - 96 = 5*z. Suppose 0 = -3*w + 18 - 54. Let j = 84 - w. Calculate the highest common factor of j and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-74037)\/(-36917) - (-1 + 3). Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6126?\nAnswer: 2, 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:11 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 38367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (44\/33)\/(-4*142\/(-28)). Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microsecond in nanoseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 20. Determine o(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - 3*m - 2*m)*(1 + 18 - 3).\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55622 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 at most as big as -1588\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.276 - 109.724. Let b = -109.2647 - 0.7353. Let d = b - z. What is the third biggest value in -2\/9, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (24 + -9) - (-5 - (-1 - 1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28315 + -10302. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4325 + -4323. Solve -g*p + 234 = 246 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.809 take away -0.3?\nAnswer: -128.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 5\/(2 + 0 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*l + 3*l = 10, 2*i = 4*l - 8. Suppose -4*x + 21 = -z, -3*z - 18 = 2*x - 5*x. Factor x*g**4 + 10\/3*g**2 + 20\/3*g**3 + i*g + 4\/3*g**5 - 1\/3.\nAnswer: (g + 1)**4*(4*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*-4*6\/24. Suppose z - 15 = -2*t, 6*z + o*t = 2*z + 40. Solve -z*p - 24 = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23707)\/(-1099) - (-1 + 1*44\/28).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27719*v**2 - 81070?\nAnswer: -55438*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3*p - 3*p)*(-5*p - p + 4*p) + 132*p**2 + 113*p**2 - 344*p**2.\nAnswer: -103*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 1332093*w**3 + 1332057*w**3 + 0*w.\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, 30, 143, 384, 801?\n\"Answer: 8*p**3 - 8*p**2 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1295151522*z**5 - 200*z - 3163479?\nAnswer: 25903030440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/3))**2*(q\/(q\/(q*q\/(q*q**(1\/6)))))**20 assuming q is positive.\nAnswer: q**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/15 + 8686*n\/15 + 34712\/15 = 0. What is n?\nAnswer: -4339, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11998 + 2?\nAnswer: 1199a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-41 - -48) - (11 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4969263 by -105729.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 - (-5 - -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 4*o**2 - 3. Let x(y) = y**2 - 2*y - 7. Let h be x(3). Let p be b(h). Let t = p + 4. Solve -2*r - 2*f + 8 = 0, -t = -4*r + f - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15281*v + 7*l = 15278*v + 48, 3*l = -3*v + 36 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145287 + -145282. Factor 0*d - 6\/7*d**2 - 15\/7*d**3 - 3\/7*d**a - 12\/7*d**4 + 0.\nAnswer: -3*d**2*(d + 1)**2*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/4 - 2583765*p\/4 + 13564215.\nAnswer: 5*(p - 516732)*(p - 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from {d: 1, t: 1, p: 2, s: 1, l: 1, i: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -14840\nAnswer: 44520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32.73669 * 0.258\nAnswer: -8.44606602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/88)\/(-1)*365\/(-219)*-2?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 1146174.48.\nAnswer: 1146174.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 12 = 3*y, 2*y + 43 - 65 = -6*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + t**2 - 2*t**2 + (3 + t - 3)*(2495*t + 3487*t - 3431*t) to b*t + a + m*t**2 and give m.\nAnswer: 2550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 77*a**3 - 7*a**2 - 9*a + 13. Let g be z(6). Suppose -3*m = -1639 - 1778. Let b = m - g. Round b to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199206 divided by -357.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/3662285 + -53333856437\/65921130. Let g = b + 809. Calculate the common denominator of -40\/99 and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*o - 2*o - 36 = 0, 0 = -3*q - 2*o + 2. Suppose -4*r + 2*r = -q. Suppose 59 = r*c - 153. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h + 41. What is the units digit of v(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*b - 50043405 + 33753490 + 177475663 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 8175368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 110 = -110. Factor m - 2\/17*g**2 - 6\/17*g.\nAnswer: -2*g*(g + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1576328m in nanometers?\nAnswer: 157632800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 6. Suppose 0 = 2*n + w + w - 38, -6 = 2*w. Let c(x) = x**2 - 17*x + 20. Let v be c(14). Let g = n + v. Calculate q(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 j when three letters picked without replacement from jqjqfqqqjfqqqqjzzf.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*d + 325*d = 119*d - 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -4*y + 161. Suppose y = -3*c + 623. What is the greatest common divisor of 255 and c?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 3*b**2. Let a be d(3). Suppose -5*x + x = a. What is the tens digit of -6*(-2 + x + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -999*d + 1440*d - 8379 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -4\/5 (c) -4125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*c**4 - 4*c**3 + 8*c + 140 wrt c.\nAnswer: 348*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444598 is divided by 2244?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 78 + 16 = 0. Suppose h = 9*j - 5. What is the remainder when 14 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i**(1\/4)*i)))\/i)\/i)\/i*i**(1\/6))**49*i**36\/(i**(2\/5)\/i*i\/i**3) assuming i is positive.\nAnswer: i**(-2339\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u. Let k be z(2). Suppose 21 = -3*s + 4*c, -3*s + c + k*c - 21 = 0. Let n = s + 10. Solve n*j = 4*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (13 + 1) - 25 - 3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62680\/39 - 1607. Let t = n + 2\/13. What is the smallest value in 2, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77561122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 + 57*a**2 + 3*a - 3. Let n(o) = -7*o**3 + 56*o**2 + 4*o - 4. Let s(d) = 3*n(d) - 4*y(d). What is h in s(h) = 0?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 7)*((2*r**2 - r**2 + r**2)*(r - r + r) + 5*r**3 + 16*r**3 + 26*r**3).\nAnswer: -98*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-122)\/(-10) - 2\/10. Suppose -6*t + v = -3*t. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19673*r - 401 + 1073 = 19697*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7660800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/7)\/(-27 - (-104224)\/3864) - 2\/13?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 11*j = -36, -62*j = -3*q - 64*j - 2. Find o such that -o**3 + 16\/5*o**q + 0 + 12\/5*o - 3\/5*o**4 = 0.\nAnswer: -3, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4364*x + 78490. Determine d(18).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*m - 3600 = 69*m + 3624 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -16\/9*n**3 + 0*n + 4\/9*n**4 + 0 + 4\/3*n**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 1877920.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5 - 1 - g + 1 + 3*g. Suppose 12*c - 7*c - 30 = 0. Let n(h) = -3*h + 23. Let u be n(c). What is x(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 204, 312, 506, 798, 1200, 1724?\n\"Answer: 2*t**3 + 31*t**2 + t + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/15 and 1\/115.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/60)\/(-1)*(-26)\/(-715)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 20. Let w = -156 + 317. Suppose 39 + w = 8*u. What is the highest common factor of i and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1264.715 times -47\nAnswer: 59441.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*y + p, -4*y - p = -5*p + 20. Which is the third biggest value? (a) 22 (b) y (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 7133590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1136 and 9\/(-2)*5*(-1)\/(-24).\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 13 = -4. Let y(l) be the second derivative of 1\/36*l**4 - 1\/6*l**q + 1\/3*l**2 + 0 + 2*l. Solve y(r) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z - 11*z + 57*z - 13*z - 20*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 27*q + 32*q - 119*q + 34*q + 25*q. Let l(n) = 46*n**2 + 4*n. What is l(r(d))?\nAnswer: 46*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 51780 and -1757484?\nAnswer: 1809264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) 9\/11 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.054724 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u - 170. Let r(w) = -4*w - 92. Let o(h) = -7*n(h) + 13*r(h). Let x(p) = -65*p + 35. Let z = 75 + -110. Give z*o(m) - 6*x(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26270 and 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3939 (base 11) to base 10.\nAnswer: -5124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143071689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 80589 - 80604 = -o, -4*z = z - 2*o + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3035 times -5?\nAnswer: 1.5175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3167*x**2 + 1776*x**2 - 5867*x**2 - 98*x**2.\nAnswer: -7356*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*0.041\nAnswer: 0.00205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1263300 is divided by 1937?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2137?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*q = -3*h + 1, -h - 22 = -5*q. Let x = -0.235 + 0.185. Let p = 0.15 + x. What is the nearest to 6 in p, 1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 27 = -2*g, 4 = 3*y - 5*g - 16. Suppose -y*u = -190 - 90. Suppose -u = 18*z - 22*z. What is the least common multiple of 8 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 151\/6. Let a = -1075 + 11827\/11. What is the nearest to -1\/2 in a, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -8 (b) 0 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 9 = -11, 0 = -5*f - h + 6. Suppose -4*x + 20 = f*a, 27 = 3*a + 2*x + 3*x. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-784)\/(-196)*2\/(-68)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116011 = 46*g - 115735 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/486*402\/(-8) and -35\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -0.075708, 1?\nAnswer: -0.075708","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-3))\/(1 - 55\/99). Let o = 0.06 - 0.06. What is the biggest value in o, -0.2, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 31*p = 80138. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 5*n**2 + 3*n - 3. Calculate the remainder when k(3) is divided by ((-39)\/4)\/(6\/(-8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10086*f**2 + 3112720*f - 720480800\/3.\nAnswer: -2*(123*f - 18980)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2. Let z(d) = -d**2 + 799. Determine z(v(o)).\nAnswer: -4*o**4 + 799","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1227 and 11342797?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:09 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 2. Suppose 5*c + 5 = -s + 2*s, -3*s - 4*c = 61. Let d = s + 10. Let m be k(d). Sort -4, m, 0 in descending order.\nAnswer: m, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -593.86 - -623. Let l = 29.1 - o. Which is the smallest value? (a) l (b) -6 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57382 and 3534?\nAnswer: 101393994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 424186 and 848372.\nAnswer: 848372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-18)*-3 + (-8)\/(-12). Let d = -0.15 + -0.25. Which is the biggest value? (a) j (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 5*f**2 + 7*f - 2. Let h be y(6). Suppose 2*u + 3*g - 142 = 0, 2*u + h*g - 5*g = 142. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -11*h + 12*h. Calculate the least common multiple of 21 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31325600 rounded to the nearest 10000?\nAnswer: 31330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 63*w**2 - 4222*w - 125. Determine n(67).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 471348 and 216.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0014 + -0.0986. Let f = -903\/8 - -113. Suppose 4*j = -3*g + 6, -j - 4 = -4*g + 4. Which is the biggest value? (a) j (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*f - 8719 = 14609 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j + 10. Let i be x(-6). Let r be (-80)\/i*(28\/10 - 0). Let d be (-1976)\/(-133) - (-1)\/r. Calculate the greatest common factor of d and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-12)\/(-99)*(-81)\/108). Let k(y) = -y**3 - 22*y**2 + y - 5. Calculate k(v).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 2*d. Suppose 5*b + 11 = -d*p - 0*b, 2*b = -8. Suppose -2*t = -p*q - 3*t + 718, 3*q - 720 = -3*t. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -2*m - 2*o, 2*m + 2*m + 3*o = 575. Let w = m - 68. Calculate the greatest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 9703.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*i - 116*i = -7067 - 16486 - 12186 for i.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -1 - sqrt(637))*1 - sqrt(91)\/(sqrt(1008)*-2 + sqrt(1008)))**2.\nAnswer: -sqrt(13)\/6 + 157\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, 0.1, 0.15, -0.2, -0.4 in ascending order.\nAnswer: -3, -0.4, -0.2, 0.1, 0.15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from ccccueuu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -700, 1\/3, 1, 3\/4 in increasing order.\nAnswer: -700, 1\/3, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x = -3*k + 21, 0 = -3*k - 3. Let t(z) = 9*z - 71. Let u be t(x). Let h be (-158)\/(-14) - 4\/14. What is the highest common factor of h and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 546519335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 55*z + 179*z + 64*z - 69*z. Let q(d) = 12*d**2 - 65*d - 10. Let g(f) = 5*f**2 - 26*f - 4. Let t(k) = 5*g(k) - 2*q(k). Give t(b(u)).\nAnswer: 52441*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -325, -5, 1, -13\/5, -1, 3.\nAnswer: -325, -5, -13\/5, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1435\/(-168) - -8 - (-2)\/(-16))*12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 + 52806*u - 105616 = 0. What is u?\nAnswer: -52808, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*1635\/8829*2*9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12148313017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0299 less than -5.4908?\nAnswer: -5.5207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4984?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 8*k**2 + 8*k + 15. Let i be o(9). Suppose r = -r. Find the third derivative of r*w**2 - 3*w**2 + 0*w**i + w**2 - 6*w**6 wrt w.\nAnswer: -720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjpjx. Give prob of sequence ppj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 62*x - 101. Let w be h(4). Let c = -10 - -31. What is the greatest common factor of c and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - k. Suppose k = -o - 2*o + 48. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -98*i + 102*i, 4*p + 21 = 3*i. Let d = -1.8 - 0.2. What is the biggest value in p, -1.09, d?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4\/((y*y**(-2\/15))\/y*y*y)*y**(-2\/11)\/y*y**(-5)*((y**(4\/7)\/y)\/y**(-5))\/(y**0)**(11\/8) assuming y is positive.\nAnswer: y**(604\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a3a90 + -a?\nAnswer: 4a3a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 6*u**2 + 74*u - 29. Determine k(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -210065?\nAnswer: -39\/210065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 932893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:39 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*d - 47 = 0, 0 = l + l + 5*d - 34. Suppose 3*o + 3452 = l*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 0*i + 3*i. Let n(k) = 9*k - 63. Let v(t) = -t + 8. Let j(y) = -n(y) - 8*v(y). Let b(u) = d(u) + 2*j(u). What is b(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 199 - 189 - (-1 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 100110?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244993 is divided by 280.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3402 = 326*s - 413*s + 249*s for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 13*k - 4 = -11*k, 3*k + 6 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 109278 and 364260?\nAnswer: 1092780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from bmbmbbmmbmbbbmmmbbbm.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(60)\/sqrt(2) + sqrt(30))\/sqrt(6) + ((sqrt(50) - sqrt(50)*2) + sqrt(50))\/sqrt(10) + -5*2*(-4 + 2*sqrt(5)))**2.\nAnswer: -1332*sqrt(5) + 2989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -719.6 * -5.\nAnswer: 3598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2093 = 4*z + 33. Let c = z - -118. Suppose 0 = h + 2*h - c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 f when three letters picked without replacement from ufufz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.32 and 54319.\nAnswer: 17382.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1357154170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287659714.886 - -0.1?\nAnswer: -1287659714.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31.9 and 2.9.\nAnswer: -92.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x + 38. Calculate the remainder when 27 is divided by s(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*c - 4. Suppose c = -3*o + 18. Solve 5*l = -4*s + 9 - 28, -5*s = o*l + 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f - 119939 = -386975. Is f a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.15 - 0.15. Let l = 14 - h. Sort l, -13, -2\/11 in decreasing order.\nAnswer: l, -2\/11, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2260297, -4520644, -6781001, -9041374, -11301769?\nAnswer: -13562192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935189 a multiple of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*k**6 + 286*k**5 + 5*k**2 - 5*k + 868?\nAnswer: 10320*k**3 + 17160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 46 = 2*w, -2*f = -2*w - 0*w - 32. Let u = f - 0. What is the derivative of 105 - 137 + 7*q**2 + u*q**2 wrt q?\nAnswer: 40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3919 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -256511\nAnswer: 6\/256511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -150 (base 7) to base 12\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 2*j**2 - j + 2. What is the units digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 286, 947, 2226, 4327, 7454, 11811, 17602?\nAnswer: 25031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14582 is divided by 1593.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 divided by 5?\nAnswer: 207\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-155)\/(-78) + -2). Let c = -0.42865 + 4.42865. What is the third biggest value in -1\/4, c, i, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-10850)\/(-39044)) - 18. Is p smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007069 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/114*(-582)\/(-194)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/89 in 132, 1\/2, 1.09?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/((-444)\/666)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/5619674?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 8. Let c(y) = -131*y + 8. Let o(s) = -1. Let i(x) = p*o(x) + c(x). Is i(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 + 41. Let k = l - -158. Sort k, -0.5, -0.2 in decreasing order.\nAnswer: k, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 567, 72, -15\/4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 849d9 (base 15) to base 12\nAnswer: 183589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12194 is divided by 11262?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllllllllllssl. Give prob of picking 2 s.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 43*g**2 - 5*g - 218. Determine w(-43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 15207131.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((1\/((-32)\/(-18)))\/((-33)\/44))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/4, -0.47 in descending order.\nAnswer: -1\/4, -0.47, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2. Let d(c) = -c**2 + 16*c + 612. Let m be d(34). Let o(l) be the third derivative of 0 + 1\/24*l**4 - 17*l**2 + m*l + 0*l**3. What is z(o(v))?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 495*c**2 + 58575*c + 58087. Let z(v) = 3*v**3 + 1483*v**2 + 175723*v + 174260. Let q(u) = 17*p(u) - 6*z(u). Determine d so that q(d) = 0.\nAnswer: -241, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1448 + 4157. Suppose 2*d - d - 680 = 3*n, -x = -4*d + n. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18453, -20.\nAnswer: -20, 0, 18453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7125872359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*k + 10 = 293*k - 2*t, -5*k + t = 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*c + 60 + 725, -5*c + 153 = f. What are the prime factors of f?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12804127 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 7*i - 1806 + 1843 = 0, -2*i + 70 = -4*r for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230015 (base 8) to base 5.\nAnswer: 4442322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 times 0.3?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -3 (c) 20 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 11. Suppose d + 0*d + 3 = 0, -2*y = l*d - 1. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619071226?\nAnswer: 2, 6547, 47279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l - 27 = 0. Calculate the common denominator of -58\/9 and (-254)\/44 - l\/6.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2266 - -2278. Suppose 3*s + 2*q - 127 = 0, q + 2 = -q. Let b = s - 20. What is the remainder when b is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmm when three letters picked without replacement from mllmhmmlm.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*(-4)\/(-4)*0. Let l(x) be the third derivative of 0*x - 1\/50*x**6 + 0 - 3*x**2 + 1\/20*x**5 - 1\/40*x**4 + g*x**3. Solve l(j) = 0 for j.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000560580005 to five dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 3*s + 128*g - 4 = 129*g + 5, -g - 5 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6987, 7949, 10565, 15663, 24071, 36617?\n\"Answer: 138*x**3 - x**2 - x + 6851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6499, -5984, -5471, -4960, -4451, -3944?\nAnswer: -3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (19 - 4 - -16).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -210212243 (base 5) in base 12?\nAnswer: -3595a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 3*p - 11, -13 = -2*j + 5*p. Let -j*f**2 + 4*f**2 + 2*f**2 - f**2 + 18*f + 2*f**2 = 0. Calculate f.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*a + 49 = 0, -3*n - 2*a = -7*a - 71. What is the highest common factor of 144 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**4\/12 - 8*i**2 - 3*i. Let z(t) = -5*t**2. Let l(x) = 25*x**2. Let c(r) = 2*l(r) + 11*z(r). Give c(n(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 plus -304.346?\nAnswer: -304.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.8 + 83.7. Let h = 0.1 - -0.1. Which is the nearest to -2\/7? (a) -0.06 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + j**2 - 163*j + 148*j + 1 + 1 as d*j + q*j**3 + l + n*j**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 w when three letters picked without replacement from wwwwwwhwwwww?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 1, a: 2, u: 11}. Give prob of sequence muau.\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2010 and 0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -16. Let i(a) = 0*a**2 - a**2 + 45 + 2*a**2 + a**d. What is the tens digit of i(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124991?\nAnswer: 124991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-3*c - c + 2*c) - 1 + 1 - 2*c + (2*c + 0*c + c)*(-5 + 2 + 0).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) + sqrt(77)*-1) + sqrt(77))\/((sqrt(110) - (sqrt(110) - sqrt(110)*2))\/sqrt(10)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4400) + ((sqrt(4400) + -3)*-4 - sqrt(4400) - sqrt(4400)))*-3)**2.\nAnswer: -21600*sqrt(11) + 991296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4)*6)\/((-20973)\/321586).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16436692 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8701)\/565)\/(-7*10*6\/600).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 < 1830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45663\/547 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 147\/54)*(-40)\/(-50)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 + 298 + 218 + 2*a**2 + 86 - 6*a**2.\nAnswer: -4*a**2 + 502","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16132980 rounded to the nearest 10000?\nAnswer: 16130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -101\/22, 1, 0.3, -0.2 in increasing order.\nAnswer: -101\/22, -0.2, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2 (c) -0.5 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 4:17 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, and 1 p when three letters picked without replacement from {h: 2, d: 6, o: 1, u: 1, p: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 - 5*u**3 + u**3 + 9*u**4 + 2*u**3 - 23*u**4 in the form n*u**2 + s + i*u**3 + g*u**4 + r*u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 3*a - 17, 0 = -3*w + 4*a + 2 + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*u - 21*u = -17*u - 955731. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209875 and 599725?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 25\/(-8)*(-2)\/(-5). Put -2\/9, 3, y in descending order.\nAnswer: 3, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2937, 5711, 8485?\nAnswer: 11259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 25, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d*d**(-3\/7))\/d))*d\/((d**(-3)*d)\/d))**(1\/6) assuming d is positive.\nAnswer: d**(25\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.47, 425, 2\/7, 0.2, 2\/3.\nAnswer: -0.47, 0.2, 2\/7, 2\/3, 425","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2. Let c be x(2). Suppose q = -4*b - c, -2*q - 3*b = -5 - 7. Suppose 0 = 3*y + q - 18. Solve y = k, -4*r - 3*k + 11 = -9*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -738*b**2 - 954 wrt b.\nAnswer: -1476*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21004*k**2 + 1 - 1 + 2663*k**2.\nAnswer: 23667*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(6\/5)*g**(2\/13))**(-14\/9))**43 assuming g is positive.\nAnswer: g**(-52976\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -2*x + 5 + 10, -4*x - v + 3 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2522 is divided by 119?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 2*j**2 - 3*j - 2. Let i be u(-2). Let s(o) be the second derivative of o**5\/20 - 5*o**4\/12 + 5*o**3\/6 - o. Calculate s(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.03 (b) 0.5 (c) 5 (d) 1\/396\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -66*u**2. Let v(b) be the third derivative of -b**5\/60 - 34*b**2. Determine v(k(d)).\nAnswer: -4356*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.192 (b) -2\/21 (c) -1.703\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 10) to base 14.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12548 = -10*j + 4182. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*n + 14 = 0, -10 = -2*o + 3*n - 7. Suppose -3*b = 4*z - 5*z, -2*b - 14 = -o*z. Calculate the highest common factor of z and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5800097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.4, -75?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-7) + (-3960)\/(-5005))*(-36 + 29).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -241 + 3290*l + 510 - 269 - 1124*l to r + w*l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f - 46. Let w be u(10). Suppose -b = -5*a + 122, 2*a - 4*b + w = 42. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4416580, -4416597, -4416626, -4416667, -4416720, -4416785, -4416862?\n\"Answer: -6*w**2 + w - 4416575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 13*f**2 + f - 2. Let b be x(13). Suppose 5*l - b = 4. Solve 0 = l*h + 6 - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 7*b**2 - 8*b. Let q(l) = l**3 + 2*l**2 - 3*l. Calculate -8*q(d) + 3*v(d).\nAnswer: -2*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvcv. What is prob of picking 1 h and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 15*p**2 - 13*p - 5. Suppose -5*z - 78 = -16*l + 15*l, l + 66 = -4*z. Determine f(z).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t + 109. Let x be u(38). Let s(o) = 4*o**3 + 6*o**2 - 6*o + 6. Let f(v) = 3*v**3 + 5*v**2 - 5*v + 5. Calculate x*s(g) + 6*f(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4282128277?\nAnswer: 7, 1783477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c5 + -105?\nAnswer: -2ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + 1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*8\/16)\/1*(-4)\/57?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p - 11*p + 20*p - 446 + 220 + 226.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -11*y + 3360 - 799, -2*m = -4*y + 934. Calculate the remainder when 922 is divided by y.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3980, 15899, 35740, 63485, 99116, 142615, 193964?\nAnswer: 253145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b + 5*b - 2*b + (0 + 2 + 0)*(b + b - 5*b))*(-2 - 8 + 3)*(-3*b - b + 2*b) to the form u*b**2 + n + v*b and give u.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 9*q - 3. Let t(b) = 2*b**2 - 2*b - 4. Let j be t(3). Solve j = -q*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 3*u - 3. Let f be k(-4). What is the remainder when 20 - -1 - 0\/f is divided by (-104)\/(-14) + 192\/(-448)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*n + 2*l**3 - 2359*l**2*n**4 + l**2 - 652*l wrt n.\nAnswer: -2*l**3 - 9436*l**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 - -1.16. Let v = -0.39 + l. What is v rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -979*r + 311. Is f(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211341 divided by 70447?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 7\/16*v**2 + 1\/4*v + 1 - 1\/6*v**3. Determine t, given that d(t) = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4560680.\nAnswer: 2, 5, 113, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/10 - 109*d**2\/5 + 212*d\/5 + 864\/5.\nAnswer: (d - 216)*(d - 4)*(d + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/3 + 455*k\/3 - 38.\nAnswer: (k + 114)*(4*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2030, -2040, -2058, -2084, -2118, -2160?\nAnswer: -2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 6, k: 3, u: 4}. What is prob of sequence dddk?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*l = -2*a - 4, -5*a + 7 = -3*l. Suppose -3*f + 28 = a*j + 5, -f = j - 11. Solve -3*z - 3*n + 5 = -j, -5*z = 3*n - 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11604 is divided by 270?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*-1)*3 + -6*(sqrt(136) + (-1*sqrt(136) - sqrt(136))))\/((sqrt(8) + sqrt(16)\/(sqrt(2)*-2))*-5).\nAnswer: -24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 206, 544, 1018, 1628, 2374, 3256?\nAnswer: 4274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(9\/4)\/k)))\/k)\/k*k\/(k**(-16)*k) assuming k is positive.\nAnswer: k**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 691275 and 5?\nAnswer: 3456375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 625279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 0) + (45 - 38) + -9 + 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -3\/7, 1\/4, -1\/4, 4\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97\/35 + 2292\/385. What is the common denominator of -46\/7 and w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2606 and 20425828?\nAnswer: 2606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 678 + -678.0001482. What is c rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899 a factor of 1042541493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.7 (c) -1\/5 (d) 79\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.8 and -4139?\nAnswer: 4141.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -487, -902, -1329, -1774, -2243?\nAnswer: -2742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Let k(y) = y**3 - 4*y**2 - y + 4. Let x be k(d). Suppose x = -5*a + 2*a + 42. What is the least common multiple of a and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001212110112002 - 12?\nAnswer: -2001212110112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 630*s**5 - 24369*s**4 + 39417*s**3 - 8469*s**2 - 6987*s - 222 = 0. What is s?\nAnswer: -2\/7, -1\/30, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/10 - -2)*(-2)\/4. What is the nearest to 0.4 in j, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002390646757 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437671849?\nAnswer: 1437671849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 409, 826, 1249, 1678, 2113?\n\"Answer: 3*m**2 + 408*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1108242?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 - 10 - (-2 - 2). Suppose -l*n - 4425 = -3*h - n, -1477 = -h + 2*n. What are the prime factors of h?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -26*n**2. Let h(s) = 37*s + 12. Let x(w) = -13*w - 3. Let b(z) = 3*h(z) + 12*x(z). What is b(u(r))?\nAnswer: 1170*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, -1, -5 in increasing order.\nAnswer: -112, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 4*k**2 + k + 13. What is the tens digit of d(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26722\/14 - 40\/(-140) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35313 (base 6) in base 9?\nAnswer: -6870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 22 = f - 5*s, s = 0. Let t(b) = 58*b + 1. Let x be t(2). Let v = -18 + x. What is the greatest common factor of v and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249541559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.3 + -5.3. Let u = 28 - j. Put u, -0.2, 5\/4, 1 in increasing order.\nAnswer: u, -0.2, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -695\/62 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*p + h - 570 = -226*p, 40 = -4*p - 3*h for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -18. Suppose 0*g - 25 = -5*g. Let f be n\/((-12)\/g) - 2. Are -5 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -5*r + 24*s, 688*r - 691*r = -3*s + 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 323 in -3, -4, -6, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from rrgrrlllgrrl.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -7*o**4\/2 + 8*o**3 + 4*o**2 + 137. Solve j(k) = 0 for k.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-196))\/((-5)\/(130\/39))\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94294.975 and -584736.\nAnswer: -679030.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 6*d**2 + 6*d + 7. Let l(k) = -k**3 - 15*k**2 - k - 9. Let r be l(-15). Suppose g + g = 2*a - 18, r = -2*g - a. Calculate f(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msm when three letters picked without replacement from {t: 3, m: 6, k: 6, s: 1, f: 2}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 2:59 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + n - n)*(-73 + 75 - 41*n + 11*n) + n**3 - 3*n**3 + 4*n**3 + (5*n - 5*n - 2*n**2)*(5*n + 0*n - 3*n).\nAnswer: -32*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 4*q + 5. Let w(y) = -2*y**3 - 8*y**2 + 5*y. Let o be w(-6). Let v be 9\/(-21) - o\/(-21). Calculate k(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*(5511\/(-264) + 21)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -9 (b) -5\/2 (c) -10.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -8083?\nAnswer: -8074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -344b (base 14) to base 10\nAnswer: -9083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1. Let y = -8 + 10. Let v(h) = y*h + 6 - 4 + h - 4*h. What is -2*o(u) + v(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9 = -51. Calculate the remainder when 40 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + i**2 + 29*i - 11197*i**3 - 14 + 11195*i**3 as v*i**2 + o*i**3 + t + n*i and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21966 and 1281.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 + 149. Let t(k) = k**2 - 5*k. Let r be t(m). Solve q = r*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/7*i**2 + 1\/7 + 4\/7*i.\nAnswer: -(i - 1)*(5*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -437 + 425 - (20 - 6 - (2 + (-2 - -5)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 83358, 166715, 250072, 333429, 416786, 500143?\n\"Answer: 83357*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1, 103, 274, -12, 4 in descending order.\nAnswer: 274, 103, 4, -1, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4.2. Let v = 0 - x. Let z = -79 - -871\/11. Which is the third smallest value? (a) 1 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/17050240 and 89\/5115072.\nAnswer: 51150720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1. Let m(o) = -9*o - 12. Let h(c) = -m(c) - 5*s(c). What is the derivative of h(t) wrt t?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + 0 + -4 + 26 + -3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**13\/n*n*n)\/(n**13\/n*n)*n**(-3)\/(n\/n**(2\/21)) assuming n is positive.\nAnswer: n**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -16. Let o(d) = 4 - 4*d + 1 - 4. What are the prime factors of o(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/3)\/m)**(12\/11)\/(m\/m**(-2\/3)*m**(4\/3))*(m**5*m**(-1\/3))\/(m\/(m\/m**(2\/11))*m\/m**3) assuming m is positive.\nAnswer: m**(103\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15761 + 15761. Let y be -2*1 - (-1 - 5). Solve 4*a - 24 = -z - f*z, 0 = 5*z + y*a - 40 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g\/g**(3\/10))\/g))\/g*g)\/g**(-1\/5)*(g*(g*g**1)\/g*g*g)**43 assuming g is positive.\nAnswer: g**(349\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 20808*q + 4286426. Give k(-206).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/700 and -167\/419706.\nAnswer: 20985300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -11.9. Let s = 251.0944 - 250. Let a = s - c. Round a to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12023320861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -90*k**2 + 8*k**4 + 4*k**5 + 24*k**2 - 30*k**2 - 132*k + 128*k**3 - 40*k**2 + 128*k**4 = 0.\nAnswer: -33, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1950 = 4*h + 2*s, 0*h - 4*h - 4*s = -1960. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 10. Let u be q(14). Let x(h) = 13*h**2 - 6*h + 4. Let g be x(u). Suppose k - g = -3*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*p + 13*p + 616 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o. Let m(i) be the second derivative of i**3\/3 - 91*i**2 - 1528*i + 1. Give m(u(r)).\nAnswer: 10*r - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**2 + 88*m**2 - 67*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 336*h**5\/5 - 483*h**4\/4 + 2306*h. What is the third derivative of p(w) wrt w?\nAnswer: 8064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1045 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + 2124.12771.\nAnswer: 2124.14771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-6))\/((-42)\/(-3780)*6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -45. Solve 2*s - v - 6 = v, 0 = x*s - 5*v - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 126 = -14*b - 59. Solve -b*m + 70 = -8 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2 - 8. Suppose l = u - 5. Suppose -4*a + 5*r + 60 = 0, -2*a + 5*r + u = -15. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 3*z - 4. Suppose -4*y - 17 + 5 = 0. Is h(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.093, -5, 1\/4, 1\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-185306)\/(-55) + 4\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 128)*(-1)\/(-3). Let u = i + 25. Let p = u - -21. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 3*y**2 + 3*y - 2. Let m be i(-4). Let v be (-1 - (-3)\/m)*0. Find o such that 0*o**3 - 4\/9*o**2 + v + 2\/9*o**5 - 2\/9*o + 4\/9*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*n - 85 = 41*n + 64*n, 3*j - 73 = 5*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:08 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, i: 2, b: 3, a: 1, y: 1}. What is prob of picking 2 t and 1 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30989 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71179817?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*f - 8, 2*f + 4*g - 15 = -29. Let c(i) = 8*i**2 + 3*i + 4. Give c(f).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -i + 11. Suppose -4*o = 5*q - 496, 2*q - i*o = -o + 201. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2150 - -4099. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14 and 0.161653.\nAnswer: -13.838347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 478534 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132 - 126. Suppose 12*w - 5322 = c*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -31763022 + (-49)\/(343\/(-154)). What is p rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 424946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 5*m**2 + 13*m - 4. Let a be c(-7). Find the common denominator of a - ((-33)\/(-8) - -2) and -2\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (10 - (11 + (10 - 11) + -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 1.3 (b) -0.09 (c) -3\/8 (d) 1\/3 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.215 to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m - 8. Let l = 62 + m. Suppose 0 = 5*j + j - l. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5*y)*(8 + 3 - 3)*(9 - 6 - 5).\nAnswer: -80*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-6)*(-4)\/(-16). Let w = 0.8 + -1. What is the nearest to 0.1 in -0.4, w, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 22. Let m(g) = -g**3 - 10*g**2 - 10*g - 6. Let j be m(b). Suppose -k + 2 = -2*z, 4 = 2*k - j*z + 1. Solve d + 2 - 3 = k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-15))\/((-8)\/(-5)). What is the second biggest value in -0.4, -4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(1 + (-2 - -4)). Suppose -4*o = o. Suppose 3*d - u = o, 3*d = i - 0*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -958*x + 2077*x - 2 - 2 - 978*x in the form o + i*x and give i.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2. Let s(q) = 10*q**2 + q + 1. Give 7*p(v) - 2*s(v).\nAnswer: v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 - 2709*z**3 - 245937*z**2 - 4049451*z - 3806220 = 0.\nAnswer: -803, -79, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -392452*h**3*n*t**3 + 131*h**3*t**2 - 6*h**3*t - 122*h*n**2 + 5*n**3*t**3 + n**3 wrt t?\nAnswer: -2354712*h**3*n + 30*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 + 143. Solve -30 = -o*p - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i**2 - 5*i**2 - 23*i**2 - 11*i**2)*((0*i + 0*i - i)*(-1 + 1 + 1) - 4*i + 2*i + i + 755*i + 192*i + 47*i) to y*i**2 + j + b*i + f*i**3 and give f.\nAnswer: -42656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 456 = -f. Let j = f + 168. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4 - 1612*m**3 - 131*m - 4 wrt m?\nAnswer: 24*m**2 - 9672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 221\/((-238238)\/(-462))*((-11)\/4 - -1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-141)\/5076)\/((-1)\/(-2)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/8 and 33\/94.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.421 - 8?\nAnswer: 21.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -1\/8 (c) 3\/2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1572844983 or -1?\nAnswer: -2\/1572844983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496 greater than or equal to 115096\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35155, -35148, -35141?\nAnswer: -35134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 217058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19913526 to the power of 1\/2, to the nearest integer?\nAnswer: 4462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30191\/5347 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 25 = -39. What is the remainder when 62 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*w + 39*w - 147*w + 47*w as v + h*w and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {x: 8, q: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/12 - 5*h**3\/6 - 3*h**2\/2 - 8*h. Let c be k(5). What is the common denominator of ((-477)\/(-36))\/(c\/2) and -29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23943947 and -5372.\nAnswer: -23949319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19894306 or 19894317?\nAnswer: 19894306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30401*f**3 - 68*f**2 - 78323*f + 12?\nAnswer: -182406*f - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110010001011 - -10110?\nAnswer: 1000110010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d**2 - d + 1. Let c(v) = 9*v**2 - 2*v + 2. Let z = -6 + 12. Let h(n) = z*c(n) - 5*s(n). Let x(u) = u**2 - 2*u + 2. Give 4*h(k) - 14*x(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8069.9999995861 - -8070. What is b rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/18242 and 73\/22?\nAnswer: 200662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(0 + sqrt(612)) + 1)*-1*2 + -4)*-4.\nAnswer: 24 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49572542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -20 - (41 + -24)) + (-17 - -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1670 > 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17634674 + 17634664.9999994. Let r = -9 - u. Round r to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(684) + -1)**2 + sqrt(684) + (sqrt(684) + -1 + -5)**2.\nAnswer: -126*sqrt(19) + 4145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*(-11)\/(3564\/(-20)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 240*g*s - 23*g - 2221*s - 2131 wrt s.\nAnswer: 240*g - 2221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**1*x*x)\/x)**7*x*x**(2\/13)*x*x*x**(1\/11)\/x*((x**3\/x)\/x**(-1\/7))\/(x**(-2\/5)*x)**(-6\/11) assuming x is positive.\nAnswer: x**(128703\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000457383 to six dps.\nAnswer: -0.000457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -1, 3, 4.\nAnswer: -5, -1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 13*w**2 + 15*w - 12. Let r be k(-12). Let n = r + 78. Let l = n + 8. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8705 + -8700. Solve w = 5*q - p, -4*q - w + 2 - 7 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -526 by 8302.\nAnswer: -263\/4151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7330535.45 to the nearest ten thousand.\nAnswer: -7330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2857*r. Let i(y) = -93*y - 86*y - 92*y + 370*y - 97*y. What is i(c(z))?\nAnswer: 5714*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by 95276\nAnswer: -27\/47638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*30\/(-225)*(-3)\/(-184)*1?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -718931 and -0.007324.\nAnswer: -718931.007324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 + 13*s + 62. What are the prime factors of y(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (195\/9)\/(35\/126). Suppose -39*t + 78 = -v. Solve -25 = t*c + c, 5*c + 30 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25280 and 13236055?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157500 = -4*r + 7*r. Round r to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*x**2 - 38*b*x + 20231*b - x**2 - 54*x wrt x.\nAnswer: -4*b*x - 38*b - 2*x - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence addd when four letters picked without replacement from addaklppdpapp.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and 8\/555443175?\nAnswer: 2221772700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31170694 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-210)\/54 - 2\/6 and -43\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0163158 and 5.5.\nAnswer: 0.0897369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7222250 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 415024 and 14576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/6 (b) 2 (c) -1\/16 (d) 0.4 (e) 45\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 7 + 4\/(-1). Let c(f) = -2 + 2 + 4 - f. Calculate c(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*l - 320*l = 116 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.149 - -0.449. Let h(x) = x**3 + 9*x**2 + 9*x + 2. Let u be h(-8). Let n be (-2 - 27\/u)*-2. Put n, q, -2 in decreasing order.\nAnswer: q, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1090520 and 1.6.\nAnswer: 1744832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*u**5 + 73*u**4 + 2*u**3 + 54*u + 187?\nAnswer: 140*u**3 + 876*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 - 429*n**2\/5 + 498*n - 3288\/5.\nAnswer: 3*(n - 137)*(n - 4)*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-360)*69 - (-1)\/4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-9))\/((-352)\/198)*76?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsrw when four letters picked without replacement from rrrirrrsrrrrrrsirws.\nAnswer: 13\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 w when four letters picked without replacement from {a: 3, k: 9, i: 1, w: 1, t: 4}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 at least as big as -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*n = 156. Let c = n + 115. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/50896560 and 89\/355920.\nAnswer: 50896560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 25*t - 3. Let m be d(4). Let h be (9 + -3)*(m + -3). Suppose 0 = -4*c + 2092 - h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 1. Suppose 0 = 5*l - 2*l + 12, 3*l + 16 = -u. Let q(d) be the second derivative of -d**4\/6 - 3*d**2\/2 + 2921*d. Give u*q(o) - 10*p(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4614 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 + 21 + 39)*(u + 3*u - 2*u).\nAnswer: 252*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 111251 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3206759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13714741549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/20? (a) 4 (b) -1.21 (c) 1\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w**2 + 21*w. Let u(h) = -2*h**2 + 4*h. Let v(b) = -4*c(b) + 21*u(b). Suppose -5*k = -5 - 20. Let j(n) = n - 5*n + k*n + 0*n. Determine j(v(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44209.03 years in centuries?\nAnswer: 442.0903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27100, -53993, -80876, -107743, -134588, -161405?\n\"Answer: l**3 - l**2 - 26897*l - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135239\/7056 + 1\/7056. What is the common denominator of ((-46)\/161)\/(-1 + (-10)\/(-6)) and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**4\/24 - k**3\/6 - k**2. Let i(d) = 5*d - 4. Suppose 3*h + 0*h = -3*r + 12, -r = -5*h + 2. Give h*i(w) - 4*a(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/3 + 979948*q\/3 - 120037260338\/3 = 0.\nAnswer: 244987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2. Let q(l) be the second derivative of 8*l**3\/3 + 4*l. Determine t(q(v)).\nAnswer: -256*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(21\/4)\/(s**(-4)\/(s**(-1\/3)*s)) assuming s is positive.\nAnswer: s**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/10*20\/8*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -10*r**7\/21 - 8*r**6\/15 + r**5\/5 - 599*r - 2. Find a, given that p(a) = 0.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 672047 - 4*v**2 - 672047.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -15065*o**3 + 30*o**2 + 12*o - 223. Let t be f(19). What is t rounded to the nearest one million?\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 46 = 46*u - 48*u, u - 2*c - 29 = 0 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (170\/595)\/(1112\/27188) + 7*(-4)\/4?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 7. What is b(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o. Let d be (3 + (-32)\/12)*o. Let -2\/7*w**2 + d*w + 0 = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - -15) + -22 + 1 + 19\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 93555\/252 - (-10)\/(-8). Let n = z + -1849\/5. Sort -2, 0, 8, n in decreasing order.\nAnswer: 8, n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148 is divided by 242?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3135 + 3142. What is the highest common divisor of 63 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*((sqrt(208) + sqrt(208) + (sqrt(208) + 2 - sqrt(208)))**2*-1 - 3*sqrt(208)*-1 - (-3*((sqrt(208)*-1)**2 + sqrt(208)) - -6*2*sqrt(208))).\nAnswer: -2544 - 672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - 0.15. Which is the second smallest value? (a) -1 (b) 1\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(588\/(-576))*(-97)\/(-388)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5260*u**2 - 2634*u**2 - 2628*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1231994+32442\nAnswer: 1264436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2098275 or -2098278?\nAnswer: -2098275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -13807 at least -13801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -169493280 divided by 84746640?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxdddxdxdxxdddxdddd. Give prob of picking 2 d and 1 x.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*p + 44016 = 841*p + 235*p for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pky when three letters picked without replacement from {p: 1, n: 1, o: 1, y: 1, u: 2, k: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*c + 10612 = -87*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/7, 7.57, 3, -2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (48\/72)\/((-4)\/(-5082))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 114927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 7:11 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2254 and 1452654?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/4*(-324)\/405)\/(30\/(-285)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**2 + x - 1. Let t(v) = 7*v**2 - v + 1. Let h(w) = 6*s(w) + 5*t(w). Let k be h(-2). Let a be (2 - k) + (-6)\/2. Solve 10 + a = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*n**3*x + 3055*n**3 - 5*n**2*x with respect to x.\nAnswer: 28*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*r - 0*r - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:52 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 80513 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + -12. Let a = d + 103. What is the greatest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(6)*-4)\/(sqrt(972)*-3).\nAnswer: 4*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8369 divide 1747330034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b + 5 = 5*a - 42*b, 5*a + 4*b - 5 = 0. Which is smaller: 3\/1778 or a?\nAnswer: 3\/1778","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-16)*((-153)\/(-63) + -1)*400\/60250\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y. Let b(q) = -691*q**2. Give m(b(k)).\nAnswer: -3455*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -2. Let c(z) = z**3 + z**2 + 4*z - 3. Let h be c(0). Sort 0, x, h in ascending order.\nAnswer: h, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Let l = -108 - -112. Sort l, 5, c in descending order.\nAnswer: 5, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.81 - -1.61. What is the closest to s in 0.4, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/9)*p**(-3\/2)*p)\/((p**(-5)*p*p)\/(p**6\/p))*p*p**3\/p*p*p*p\/((p*p**2)\/p)*p*p**1*p*p**(-2) assuming p is positive.\nAnswer: p**(227\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 75 + 216 + 2*m + 578.\nAnswer: 2*m + 764","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -55. Let x = 23 - o. Suppose 4*g - 4*v - 26 + 6 = 0, -x*v - 30 = -4*g. What is the lowest common multiple of g and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703777543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 - (-7 + 6). Let b(r) = -s - 1 - 5*r - 5*r. What are the prime factors of b(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695)*2*6)\/(sqrt(176)\/sqrt(4) + -5*sqrt(22)\/sqrt(2)).\nAnswer: -28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1265 divided by 5.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 7:32 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 4. Let i(a) = 3*a + 7. Let d(m) = 5*h(m) - 2*i(m). Let z be d(4). Does 12 divide (z\/(2 - 8))\/((-30)\/1350)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) 0.01 (c) 30 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-18)\/(-45) + 1 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20\/17 (b) -156 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2 - 4, n - 5*z = 0. Let q = n - 7. Solve 6*b + 20 = 2*b, -2*a + 19 = -q*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1453 divided by 163\nAnswer: 1453\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67805 divided by -13561.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x*x**(-3\/8)\/x)\/x)\/x)\/x**0)\/((x**(-2)*x)\/x*x**(-3))*((x\/(x\/x**(-1\/6)))\/((x**7\/x)\/x))**(-6\/11) assuming x is positive.\nAnswer: x**(567\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1115 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 311504 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1199 greater than or equal to -0.47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*f - n, 24*f - 18*f - 2*n = 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1802 and 1802 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/30*4*24\/8. Is -2 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*d = -t + 18, -4*t + 5 = -d. Suppose -2*u - t*u = -40. Solve 3*j = -u + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + -25 + 28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(-3*x - 4 + 4)*(-2*x - x + 6*x) - x**2 + 0*x + 0*x + (-2*x**2 - 2*x**2 + 2*x**2)*(1 - 2 + 3) as h + u*x + i*x**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2. Suppose 2*n + 4*n + 24 = 0. Let d(u) = -6*u**2. Let j(x) = n*d(x) - 22*v(x). Let c(m) = -3*m. What is c(j(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.5, -4, -67760?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*h**2 - 600*h**2 - 155*h + 8*h**3 - 1 + 0*h.\nAnswer: 8*h**3 - 155*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 12*y - 7. Let v(t) = t. Let m(b) = -l(b) - 6*v(b). Let w be m(7). Solve d + d = w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmcmmoxmxcdxxxd. Give prob of sequence gdm.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 217. Suppose -3*p + 1324 = 5*m, 4*p = o*m - 67*m - 1303. List the prime factors of m.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -29*h**2. Let m(t) = 1. Let i be (-9)\/5*220\/66. Let g(j) = -j**2 + 6. Let k(r) = i*m(r) + g(r). Determine y(k(l)).\nAnswer: -29*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a + 7c4?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/13 + 1062\/26?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upuu when four letters picked without replacement from {e: 4, x: 1, u: 8, w: 1, p: 3}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**2 + 41*j + 17. What is the remainder when 36 is divided by m(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 2*r - 2. Let p be g(4). Let q = -16\/3 + 98\/15. Find the common denominator of 15\/p*(-46)\/(-33) and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29302, -117207, -263722, -468847, -732582?\nAnswer: -1054927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 94 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10867054.\nAnswer: 2, 11, 29, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.01 (b) -5\/11 (c) 0 (d) 1\/4 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2140 (base 5) in base 11?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*k = 23*k - 114*k + 36. Let t = -8 + 17. Solve -k*w + w = -t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -121. Suppose 0 = -6*o + o + g. Suppose u - 2*i - 4 = 0, -2 = u - 5*i - o. Put -2, u, 5 in increasing order.\nAnswer: u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5040100 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5292 = -12*k, 4*k - h - 737 = 1019. What is the highest common factor of 40 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -198, -309, -420, -531, -642?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -0.22. Let z = -10.283 + 0.083. Let l = -10 - z. Which is the biggest value? (a) 1\/2 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-65)\/(-35) - (-3)\/21. Let l(g) = 0*g**2 - 9 + 9 + d*g**2. Let s(h) = -6*h + 4 - 4. Give l(s(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*i = -877, -208 = -2*r + r + 3*i. What is the greatest common factor of r and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509558.4 nanometers to centimeters.\nAnswer: 0.05095584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/612 and -161\/1197888.\nAnswer: 3593664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:10 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4*4)\/(-3*17\/(-68))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11760 divided by 42.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-1))\/((-3)\/(-5)). Let z = 32 + -30. What is the nearest to z in -0.4, 4\/3, d?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 + -75. Which is the nearest to -14? (a) v (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5))**16*d*d\/d**(16\/7)*d\/(d*(d\/(d\/(d\/(d*d**14))))\/d))**(-27) assuming d is positive.\nAnswer: d**(12339\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**3 + 22*j**3 + 2 + 4*j + 2*j**3 - 25*j**3 - 6*j - j**4 - 2*j**2 to the form x*j + z*j**4 + w*j**2 + f + v*j**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 269494163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and 122.8.\nAnswer: -3070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4*p + 38, 54 = -11*p + 8*p + 4*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53578*d**5 + 1907*d**3 - 29944*d**2 + 3*d + 163?\nAnswer: -3214680*d**2 + 11442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-6)*d*d**1\/d)**(1\/13))**(-1\/38))**39 assuming d is positive.\nAnswer: d**(15\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*i - 10 + 2, 2 = -5*a - 4*i. Suppose -x - a*f = x - 42, -x = 5*f - 13. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 34241*m + 1403913. Calculate f(-41).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeymywyyzyyyzj. What is prob of picking 2 z and 1 m?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 12. What is the common denominator of 8\/5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3683657 or -317?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 54*m + 220. Give g(-7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7841*w**3 + 7684*w**3 - 15528*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/44238608 and 49\/32?\nAnswer: 88477216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 286.67094 minutes?\nAnswer: 4.777849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 46. Find the third derivative of 484*k**3 - 15*k**2 - 484*k**3 - 19*k**q wrt k.\nAnswer: -456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 3 + 0 + 1. Suppose 5*z + 12 = -13, -3*z = -3*i + 36. Suppose -2*a = -i*r + h*r - 80, -3*a - 3*r = -102. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37213 - -454843.\nAnswer: 417630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17137913, -17137909, -17137903, -17137895, -17137885, -17137873, -17137859?\nAnswer: -17137843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-49 - (20 + -16 + -14))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9973.23 - -9972.185414. Let j = v - 64.948314. Let q = -66 - j. Round q to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1759.7 to the nearest ten.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*a**2 - 30 - 2*a + 56 - 28 to the form v*a**2 + t + k*a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 6*c - 3. Let i be j(4). Suppose 8*z - 7*z + i*y - 8 = 0, -2*y = 4*z - 68. Suppose -6262 = -z*l - 2194. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -8, -1126, 5, 0, -4 in descending order.\nAnswer: 5, 0, -4, -8, -10, -1126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2220)\/(-3330)*(6\/116)\/(-1))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3412863156?\nAnswer: 2, 3, 431, 659873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((87\/116)\/(42\/8))\/((-37)\/(-12173))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124464570851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2049*b = 2059*b + 50. What is the fourth smallest value in -3\/2, -61, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327985*g - 603102 + 327988*g + 603102.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 43*a. Let i(d) = -1186*d + 544. Determine i(j(f)).\nAnswer: -50998*f + 544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 549738 and 183246.\nAnswer: 549738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27187080*x + 242553951 wrt x.\nAnswer: 27187080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118073600 rounded to the nearest 1000000?\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5023408 to the nearest integer?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175367389?\nAnswer: 73, 2402293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.9 <= 0.2872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 95 + 129 + 20*h - 57 - 12*h.\nAnswer: 2*h + 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttu when four letters picked without replacement from tutttuttutttuututt?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116.5 - 33.8. Let n = t - 83. Which is the nearest to 2\/5? (a) -5 (b) n (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 367, 523, 659, 775?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601.568 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**3 - 11*q**3 - 9*q**4 - 15 + 8*q**3 wrt q.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 82 = -3*w. Let q = 42 - w. Do q and -2\/79 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5, 3\/4, 1, -16.4 in increasing order.\nAnswer: -16.4, -16, -5, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 16, 82, 226, 472, 844, 1366, 2062?\nAnswer: 2956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-70) + (-996)\/(-2324))*(-13 - 17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167585891?\nAnswer: 11, 15235081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 1:42 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = 87*d + 44*d + 1826 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2792 and -45\/64.\nAnswer: 22336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/10 + y**2\/2 + 11*y. What is the derivative of p(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 42360064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = w + 19*w + 56 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7586720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 18*c + 79. Determine m(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/11)*r**(-3)*r**(7\/4)*r*r\/(r*(r\/r**(-2\/17))\/r) assuming r is positive.\nAnswer: r**(133\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2\/23)*b*b**(-14)*b assuming b is positive.\nAnswer: b**(-255\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7357087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.54*-6070.\nAnswer: -106467.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r**3\/3 + 170*r**2\/3 + 706*r - 180 = 0. What is r?\nAnswer: -9, 1\/4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7425, -14842, -22261, -29682, -37105?\nAnswer: -44530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l - 7*l - l - 4*l + 4*l + (-4 - 1 + 3)*(l + 2 - 2))*(-1 + 0 - 8)*(-4 + 4 - 1)*(-3 + 5 + 0).\nAnswer: -126*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) - (-74)\/9. Let b(u) = -5*u - 2. Let x be b(-2). What is the units digit of (x\/10)\/(v\/100)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcbgbgbbbbbgg. Give prob of sequence gc.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 77*z + 5 - 38*z - 62*z as v*z + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512547 is divided by 64066?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10)*6\/9\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(45) - 4*sqrt(45)*3) + -1)**2)*-1.\nAnswer: -5443 - 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -27675 equal to -17149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(102) + 2*sqrt(102) + sqrt(102) + sqrt(102)) + sqrt(102))*-6)\/(-3*(sqrt(486) + sqrt(486)*2 + sqrt(486) + sqrt(486) - sqrt(6))).\nAnswer: 13*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -27, -5, -2\/7319, 8?\nAnswer: -2\/7319","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2125711 and 826.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -20*m**3 + 4*m**2 - 5*m + 7. Let q(t) = -10*t**3 + 2*t**2 - 3*t + 4. Let z(n) = 4*h(n) - 7*q(n). Give z(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:11 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2209 + -2211. Let k be -14*(0 + 10\/(-4)). Suppose -5*q - k = -10. Put n, q, -2\/11 in increasing order.\nAnswer: q, n, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3\/235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58193077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -13 - 6*b + 9*b + 51. Let j(z) = 4*z + 20. Let d be j(-5). What is the tens digit of s(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -859 - -1475. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/6 - 2*n**3\/3 - n**2\/2 + 9*n. What is g(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 16*o**2 - 3*o + 182. Let a be x(-15). Solve 4*s + z - 6 = -14, 0 = -2*s + a*z - 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 a factor of 19135315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o - 8 = 0. Suppose -o*i + 36 = -5*b, 0*b + 86 = 5*i + 4*b. What is the highest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 504 + -500. Let p(x) be the third derivative of 0 - 1\/12*x**n + 4*x**2 + 0*x**5 + 0*x + 1\/40*x**6 + 0*x**3. What is the second derivative of p(c) wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321763 and 25564981.\nAnswer: 6071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 3. Let y be v(-5). Let s = -2\/11 - 16\/33. Which is the second smallest value? (a) y (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 465, 708, 971, 1260, 1581, 1940?\nAnswer: 2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 5. Let f(g) = g**2 + 8*g + 9. Let o be f(-7). Suppose 0 = 5*w - o*w. Calculate the least common multiple of h(w) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 986*r**2 + 22149*r.\nAnswer: r*(r + 23)*(r + 963)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -752*k + 4428. Calculate j(6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 8*b + b + (-3*b + 2*b - 8*b)*(-3 - 4 + 5) - b + b - 2*b)*(1 - 7 + 1).\nAnswer: -145*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 59b92a?\nAnswer: 59b929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -207*f**2 - 18*f + 90. Let t(u) = -2*u**2 - u + 1. Let p(y) = -a(y) + 18*t(y). Find the first derivative of p(v) wrt v.\nAnswer: 342*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 0*l = 0. Suppose l = -2*a - 1094682 + 54682. What is a rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -167, -260, -347, -428?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 4, 0 = 295083*s - 295078*s + 3*n - 60 + 167 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -64*s**2. Let v(r) = 260274*r**2. What is w(v(g))?\nAnswer: -4335523524864*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 19. Suppose g*h - 3*d = -201 - 8, -5*h - 3*d = 241. What is the tens digit of (6\/(-5))\/((-9)\/h)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 3. Calculate the remainder when 1*(5 - 2\/1) is divided by w(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 5*i + 3. Let k(t) = -7*t**2 - 11*t - 7. Let w(g) = 5*a(g) + 2*k(g). Suppose 15 = -3*y + 3*q, 3*q = -q + 12. Give w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.9 (b) -2 (c) 2\/25 (d) -3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 500133 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-2) + -1)*-2. Let n be (-1 - w - 3)*0. Suppose 60 = 5*b - n*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqqm when four letters picked without replacement from {m: 17, q: 3}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/34 and 19\/2074?\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593 a factor of 966545936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 4. Suppose -5*n - 20 = f, 2*n - 6 = 5*u - 39. Suppose 0 = -u*j - 0*j + 1000000. What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-4))\/((-2)\/(-3)*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*w**2 + 6 - 2*w.\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 - (-3)\/1) + -3. Let o = -2047 - -3718. Is (o\/z)\/((-5)\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 23 + -12 + (-2 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**3\/6 - 2*r**2 - 4*r. What is the least common multiple of 5 and k(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 0 + 1\/2*p**3 - 4*p**2 - 7\/24*p**4 + 0*p. Differentiate j(v) with respect to v.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 156317531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1176998)\/36402)\/((-2)\/6).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*n**2 - 2 - 3 - n + 3 + 1 as m + f*n**2 + v*n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 134*l**3 - 18 - 22)*(7 - 4 - 8).\nAnswer: -670*l**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185 * -565729.\nAnswer: -104659865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + y + 45, -5*t - 4*y + y = -35. Let k be (t*800)\/(5\/6250). What is k rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcckcckckc. Give prob of picking 2 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 44*s + 54*s + 65*s + 4.\nAnswer: 163*s + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 4*z**2 + 12*z - 39. Let k be q(4). Suppose -k*m - 20 = -5*m, 0 = -5*h + 4*m + 4790. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(12\/(-10))*(2064\/(-602))\/(20\/(-175)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*p + 5, -6 = 3*p - 0*p. Suppose i + 2*g - g = k, -3*i - 2*g = -8. Suppose -8*t - i = -7*t. Let n(c) = 3*c**2 + 2*c. Calculate n(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*y - 19, x = 5*x - 3*y - 29. Suppose -44 - 21 = -x*i. Let h(p) = p - 13. Let k be h(i). Solve -5*t + 16 + 4 = k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 90\/54*(1 - -2). Let f = 3 - 3. Solve a*o + f*o + 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-2 - sqrt(2)) + (sqrt(2) - (sqrt(18) + sqrt(2) + sqrt(2)))*6)**2.\nAnswer: 3698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002081882 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:15 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**2*v*z - p**2*z + 6029*p**2 + 400*p*v*z - 2*p*z + 3*p + 2*v*z + 1050*v - 18*z wrt v?\nAnswer: -p**2*z + 400*p*z + 2*z + 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/10466552 and -69\/1264.\nAnswer: 20933104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**3 + 2*u**2 + 3*u + 1. Let c be l(-1). Suppose -10*m = -c*m - 20. Let p(a) = -m*a + 0*a - 1 - 4*a + 6*a. Give p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -548755*m**6 - 535098*m**2?\nAnswer: -65850600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -30. Let n = -17\/84 + -1\/12. Let l = -141 - -1411\/10. Which is the closest to n? (a) 2 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.27*-40875.\nAnswer: 297161.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -980 divided by 984.\nAnswer: -245\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476808725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**4\/24 - j**3\/6 - 83*j**2. Let d(i) = -11*i**2 + 5*i + 4. Determine 6*b(h) + d(h).\nAnswer: -11*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -2) + (-4 - 10881726). Let i = 32161726 + h. What is i rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9922 + -0.9922. Which is the closest to i? (a) -4 (b) 0.4 (c) -0.1 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 21 + 30 + 9*m.\nAnswer: 9*m + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*n*w**5 - 3*n*w**4 - 195*n*w**2 - 5*n wrt w?\nAnswer: 480*n*w**2 - 72*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1726655 = 22*x + 89335. Let j(s) = -s**3 - 6*s**2 - 2*s. Let g be j(-6). Is (-2)\/g - x\/90 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198.38 rounded to the nearest 10?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(4 + 5 + 5)*(4*v**2 - 3*v**2 + 1 - 3*v**2) + (0*v - 5*v + 2*v)*(-4*v + 4 - 4).\nAnswer: 68*v**2 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 2*a**2 + 1 - 11*a**3 + 12*a**3 - a**2. Let l be y(-1). Suppose -5*r + l = -20. Solve 31 = -0*z + 3*z - 4*m, r*z - 36 = 4*m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - -1 - (-9 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 34 = n. Let v = 36 + n. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.01 (c) -2 (d) 0.5 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12768 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = f - 18, -7*f - 2*k + 49 = -4*f. Suppose 12*m - f*m = 0. Suppose 25*u - 23*u - 826 = m. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*q - 2*v - 25, q + v = -1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-97)\/(-9) - (-4)\/18. Let i = x + -8. Let u(t) = 7*t - 9. Let f(y) = -4*y + 5. Determine i*u(p) + 5*f(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h + 31. Let b be t(3). Put 2\/11, -0.1, b, -1\/2 in decreasing order.\nAnswer: b, 2\/11, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = 8*n. Suppose 0 = 3*u - g + 2*g + 1, 4 = 4*u - 4*g. Let l be (0\/(-2 - u))\/2. Solve f - 1 - n = l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 50, 141, 292, 515, 822, 1225?\nAnswer: 1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2 = 5*i + 4 - 0, -2*i - 3 = -d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/(-3) + (-8)\/12. Suppose -238*k + 234*k = 20. Let r be -8*k\/n*-3. Calculate the highest common divisor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*l = 2*l + 222, -184 = -4*j - 4*l. What is the remainder when j is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104642 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-15)\/(255\/49). What is the second biggest value in 0.59, o, 2, 0.4?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g**4*p + 2*g**2*p**3 + 3*g - 303*p**3 wrt g.\nAnswer: -96*g**2*p + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1476?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166 and 16.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**3 + 358*r**2 - 123*r + 3103. Give v(-72).\nAnswer: 1591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37849981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from uuuxguuuvuuuu?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x - x - 5*x)*(3*x + 0*x + 0*x)*(x - 6*x + 3*x)*(8*x - 19*x**2 + 49*x**2 - 24*x**2).\nAnswer: -144*x**5 - 192*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44492 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42089137253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3007.5? (a) -3\/10 (b) -0.5 (c) 1 (d) -3 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39.46 and -0.16.\nAnswer: 6.3136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -17) + (-15 - (-34 + -12) - 13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/6*(-8)\/6. Let g be ((-4)\/(-36))\/(0 + d\/12). Find j such that 2\/3*j**3 - g*j**2 + 0*j + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629\/2317 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84350?\nAnswer: 2, 5, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**4 + 0*l**4 + 2*l**4)*(38 + 28 + 81) + 4*l**2 + l - 4*l**2 - 2*l**4 in the form s + o*l**2 + z*l**4 + q*l**3 + d*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 657 - 13799\/21. Let m = 1226\/35 - 178\/5. What is the smallest value in m, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 14*z**2 + 12*z - 9. Let m be o(-15). Let h = -92 - -122. Calculate the highest common divisor of m and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 59 (c) 0.08 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 244126 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*i - 5910024, m + i = -0*i + 2954998. Suppose -6 = 3*k - 0, m = 5*y - k. What is y rounded to the nearest 10000?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1974 and 525.\nAnswer: 49350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 2 + 0)*(5*y + y - 4*y) + 0*y + y + 0*y - 3*y + 6*y - y)*(60 + 45 - 68) as w + x*y and give x.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/55? (a) 0.03 (b) 2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**2 + 50 - 68*n**3 - 36*n**3 - 36 + 55 - 14 wrt n?\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471*o**3 + 461*o**3 + 461*o**3 + 465*o**3 + 469*o**3 + 458*o**3 - 2791*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 9*c**2 + 7*c - 11. Calculate the remainder when 47 is divided by s(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00939854383 to 6 decimal places.\nAnswer: -0.009399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12435.038755 - -12435. Round s to four decimal places.\nAnswer: -0.0388","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 32. Let g be f(-16). Which is smaller: -2\/19 or g?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from {m: 2, y: 2, i: 1, s: 1, u: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.04567 * -51.38\nAnswer: -2.3465246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 666560 and 339945600?\nAnswer: 339945600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -617 - -8017\/13. Let f be (8 + -2)\/((-14)\/(-70)). Let t = -30 + f. Which is greater: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726 (base 12) to base 7.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*x**2 - 54*x - 332.\nAnswer: -4*x - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969321204.\nAnswer: 2, 3, 1619, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6305 and -0.1494.\nAnswer: 941.967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (68\/(-6))\/((-12)\/54). Let a = 225 - i. What is the remainder when a is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72609950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/13 - 66*m\/13 - 400\/13.\nAnswer: -2*(m + 8)*(m + 25)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*f, 6 = -v - 5*f + 1. Let o(j) be the third derivative of 1\/60*j**v + 0*j + 0 + 0*j**3 + 1\/120*j**6 - j**2 + 0*j**4. Factor o(y).\nAnswer: y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/54 + 1\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 5*j - 15. Which is bigger: 7 or j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 5*g - 319. Suppose 3*r - 2*h = -0*h + g, 56 = 2*r + 2*h. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by -2084.\nAnswer: 87\/2084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/36)\/(308\/16632).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/27*-3)\/((-4)\/(-3972))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i. Let p(a) = a. Suppose 6*f - 10*f + 20 = 0. Let d(o) = -o**2 + 7*o. Let x(r) = f*d(r) - 35*p(r). What is x(q(g))?\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * -2.6\nAnswer: -7.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6317 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 785*k**2*t**3 - k**2*t - 2*t**3 - 463*t - 1 with respect to k.\nAnswer: 1570*k*t**3 - 2*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8283130 divided by -5?\nAnswer: 1656626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -4\/345, 0.1, 0.08, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 - (170 - 84) - 69\/(-21).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 368 + -357. Calculate the lowest common multiple of z and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {v: 1, w: 2, n: 1, l: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4022477, 16089889, 36202229, 64359491, 100561669, 144808757?\nAnswer: 197100749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:58 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**2 + 4*h - 5. Let t be (45\/27)\/((-2)\/(-6)). Let u(f) = -3*f**2 + 2*f - 2. What is t*u(r) - 2*k(r)?\nAnswer: -3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 3) + 5 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 61*q**2 + 517*q + 35918. Give z(-62).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2757630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-12)*(-6)\/4*4. Suppose 4*w = -8, 2*t - n = 4*t + 5*w. Suppose 20 = -t*f, 55 + 52 = 2*q - 3*f. Calculate the lowest common multiple of 10 and q.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 6*p. Let m be s(-7). Suppose 0 = -2*v + 155 - m. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -13)\/((-2)\/(-4)). What is the units digit of (-4)\/n - (-48)\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30604 - -183097\/6. Let g = 62\/83 - 27908\/249. Let a = g - l. Calculate the common denominator of -5\/6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 175*m - 16 = -173*m, 0 = h - 3*m + 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7869 and 1281?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 48\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -48*i + 12138. Calculate the highest common divisor of i and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 368*r + 51 = 364*r - 5, 0*q - 2*q + 2*q = -3*r - 42 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8422*f**2 - 9233*f**2 - 2062*f**2 + 4311*f**2.\nAnswer: -15406*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 24*g**2 + 35*g + 26. Let c be z(23). Let n = -171 + c. List the prime factors of n.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 4. Let k = 18 - 16. Does k = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86 and -12?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -4, 521015, -2, 2, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + 1785672?\nAnswer: 1785690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 3)\/(2\/(-3)). Let h be (-3 + -399 - c) + 2. Let g = -206 - h. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2 (c) 1.5 (d) -16.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = -7. Suppose -120 = -2*o + 160. Let j = o + -10. What is the least common multiple of j and b?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by 69950?\nAnswer: -17\/13990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7476?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 72203*h**2 - 2127*h - 12. Let x(g) = 28881*g**2 - 826*g - 5. Let i(d) = 13*x(d) - 5*z(d). What is the second derivative of i(r) wrt r?\nAnswer: 28876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8312434 - 8312434 + 2889*f**3.\nAnswer: 2889*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8234*t - 2*t**4 + 2*t**4 - 91*t**5 + 8065*t wrt t?\nAnswer: -1820*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**3\/3 - 33*w - 2. Let q be y(0). Let f be q\/(-5) + (-33)\/55. Solve -4*m = 5*h - 41, -f + 21 = 3*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -379761 times 10\nAnswer: -3797610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869.1066 months to centuries.\nAnswer: 0.7242555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 24764723400 to the nearest one million.\nAnswer: 24765000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 6376.3\nAnswer: -255.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20 + 0\/(-1 - -4). Suppose 5*i + 8 = -3*p, -2*p = -2*i - 6*p - 6. Let q be 1 + 5 + -1 + i. Calculate the highest common divisor of q and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128000\/3 - 4\/3*t**5 + 256\/3*t**4 - 5776\/3*t**3 + 52160\/3*t**2 - 147200\/3*t.\nAnswer: -4*(t - 20)**3*(t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*p)*(1 - 3 + 4)*(3151*p - 1579*p + 596 - 1573*p) as v*p**2 + q + n*p and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u - 2. Let j be d(5). Let v = -7 + 6. Let b = v - j. Calculate the highest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102.943 - 103. Let o = a + 0.157. Let m = 7.4 + -7.9. Put m, o, 4, -1 in descending order.\nAnswer: 4, o, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*b = x - 2, -4*b = 4*x. Suppose 5*j - p - 4 - 9 = 0, -5*p + 16 = x*j. Suppose -i + 2 = 3. Put j, -12, i in ascending order.\nAnswer: -12, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 444\/9*(-6*9*(-7)\/168)\/(-3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 2*j**2 - 3*j - 2. Let x be w(-2). Suppose x = -5*y + 7*y. Let r(c) = 8*c + 4. What is the least common multiple of y and r(5)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/12 - i**3\/6 + 5*i**2\/2 + 395*i. What is z(5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*j**2 + 0*j**3 + 9*j**3 - 88*j**2 in the form q*j + n*j**3 + h + o*j**2 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -447\/14 - -63\/2. Let s(n) = -2*n**2 - 2*n - 6. Let j be s(3). Let u be (-2)\/(-10)*j\/4. What is the second smallest value in 4, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -787*l**5 + 10*l + 32 wrt l.\nAnswer: -15740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168.4 - 168.4000873. What is r rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 0, -1, 4, -4 in decreasing order.\nAnswer: 4, 0, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -385, -1801, -4207, -7639, -12133, -17725?\n\"Answer: -6*t**3 - 459*t**2 + 3*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 29 - 15 = 4*z, 4*z + 12 = y. Let i be (-10)\/35 + 250\/(-7). Let c = -5 - i. Calculate the remainder when c is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -72. Let m(g) = -2*g**3 + 0*g**f + 7 - 7*g**2 - 4*g + 6*g**2 - 7*g**2. What is the units digit of m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -7*l**5\/120 - 2*l**4\/9 + 17*l**3\/36 + l**2\/2 - 3*l. Factor b(z).\nAnswer: -(z - 1)*(z + 3)*(7*z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(6\/9)*20\/(-90)*-93.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1136 by -17.\nAnswer: -1136\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {s: 3, f: 4, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 + 586 - 23*c**3 - 583 + 12*c**3.\nAnswer: -2*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-2))\/(-1 + 0). Let z(t) be the third derivative of -t**6\/120 + t**5\/15 - t**3\/6 + t**2. Let c be z(3). Is q != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 + -120 + 20 - (65 + 2 - -2).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13.8 or 137.59?\nAnswer: 137.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Suppose -2*o = -3*p + o + 3, s = o. Which is the closest to 1\/3? (a) -1 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from mwmmkvz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*r + 37*r - 674000 = 0. Round r to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(13 + -4) - 3. Solve 4 + 7 = -3*u - s*k, -4*u + 5*k = -16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r**2 + 2*r**2 - 14*r**2 + 4*r**2 as q + p*r + h*r**2 and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 376.12 - -4.88. Let q = -381.5 + f. Which is the third smallest value? (a) 23 (b) -1\/3 (c) 0.4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**5\/60 + c**4\/12 + c**3\/3 + 2. Let l(q) be the third derivative of m(q). Determine l(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c4 + -3ee?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -25, -2*m + 49 = -0*j - 5*j. What is the remainder when m\/6*23\/2 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**4\/24 - w**3\/3 - w**2\/2 + 3. Let n(c) be the second derivative of t(c). What is the derivative of n(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2422 + 3800. What are the prime factors of q?\nAnswer: 2, 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2179 - -2237. What is the highest common divisor of u and 3422?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33.49697622385 - 5.\nAnswer: -38.49697622385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/9)*p\/p**(-9)*p)\/((p**(-2\/3)\/p)\/(p\/(p*p**5)*p)) assuming p is positive.\nAnswer: p**(89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7002396 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*l**2*z**6 - l**2*z**5 + 2*l**2*z**2 - 301*z**2 + 2*z wrt z.\nAnswer: 5640*l**2*z**3 - 60*l**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/27 - -77\/54. Let x = -21473 + 42947\/2. Let r + b - x*r**2 = 0. Calculate r.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 8:29 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/12 and -27\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000067032 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6182 and 902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27248337 and 2907?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y = 8*y + 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14043, 28255, 42651, 57231?\nAnswer: 71995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 41 = 229*h - 231*h, 0 = h + x - 13 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*l + 60 - 21 = 0, -4*q - 2*l + 170 = 0. What is the remainder when q is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(96) + (sqrt(96) - ((sqrt(96) + sqrt(96)*-2 - sqrt(96)) + sqrt(96))*-6 - sqrt(96)))\/sqrt(3072))**2.\nAnswer: -125\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-304232)\/56 + (-4)\/14. Let v = j - -11856. Suppose 7*q - v = 4490. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2, -99 in ascending order.\nAnswer: -99, -14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide ((-30)\/(-12)*(-3)\/(-6))\/(20\/60960)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.393110162 to 4 decimal places.\nAnswer: -0.3931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, 90, 4\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**6 - 8443339*w**5 - 19588491*w**2 wrt w?\nAnswer: -240*w**3 - 506600340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3610 + 10419. Let d(o) = -8190*o**2 - o. Let h be d(1). Let k = h - i. Round k to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 8. Let s(i) = 13*i**2 - 2*i - 3. Let j(f) = -13*f**2 + 2*f + 2. Let q(h) = 2*j(h) + 3*s(h). Is q(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - v**2 - 5*v + 2. What is the units digit of u(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 109, 171, 281, 445, 669?\n\"Answer: w**3 + 18*w**2 + w + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -3\/13, 0.02, -8, -2\/7, -4\/23?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p - 28*p + 2 + 12*p + 13*p in the form g + w*p and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o + 42*w = 47*w - 94, 3*w - 40 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a**2 - 2*a**2 - 5*a**2 - 13*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 361439*a*g**5 - 2*a*g**3 + a*g**2 + 2*a*g - 39007*g wrt g?\nAnswer: 21686340*a*g**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 355096 and 1104.\nAnswer: 49003248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1547282737 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 + 2*q**2 + 1. Let o be k(2). Is (0 - -80) + (o - -14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14.2 from 2380781089.\nAnswer: 2380781074.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5 + 8, 5*g - 2*m - 287 = 0. What is the greatest common divisor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 + 5*v + 4. Let m be q(6). Let c = 0 - m. Suppose 5*k - 5 = -p + 21, -c*p - k + 34 = 0. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75504748.\nAnswer: 2, 11, 29, 47, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 42*i + 4591. What is s(-50)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/513 and (28\/(-70))\/((-18)\/(-305)).\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1023032 (base 4) to base 15\nAnswer: -165e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*x + 127*x = 13*x + 27*x - 4608 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*v**2 - 206*v - 2431?\nAnswer: -4*v - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/6*(-9)\/(-6). Suppose -5*q - 3*w + 4 = -3, -3*q = 4*w - u. Factor -1 + q*p**2 + 1 - p - p**3.\nAnswer: -p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -106*a - 4239. Determine k(-40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 575*l - 572. Calculate q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 955*o + 7385 - 24859 + 5359 + 7881 wrt o.\nAnswer: 955","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -102*j + 4882. Let q be b(47). Solve 95*f = q*f + 42 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1025 - 221514?\nAnswer: -222543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20)\/28*192073\/(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354 - 6*j - 64*j**2 + 24*j**2 + 354 + 2*j.\nAnswer: -40*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 8*m**2 - 80*m - 382. Calculate v(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 389946 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23\/75 (b) 13 (c) -179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 5113*b - 308182. What is r(61)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9239702 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9461377 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209\/36 + 68\/9. Let n = -59665 - -59661. What is the third smallest value in t, 2\/3, n, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007797 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-4 + 2 + 4)*(3*o**3 + 2*o**3 - 2*o**3 + (3*o + 1 - 1)*(-3*o**2 - 4*o + 4*o)).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**3 - 830*m**2 + 11*m - 88748. Determine p(208).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-60)\/(-8))*-3. Suppose -800 = -0*t - t + 5*q, -1618 = -y*t + 4*q. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.101*-2640.\nAnswer: -266.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*42\/(-72)*-2)\/(308\/1584)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -527 - -538. Suppose 1720 + 337 = s*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21780 - -12646. Round j to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112142 (base 5) to base 12.\nAnswer: b474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (159 - 0)*12\/9. Let z = d - 266. Put z, -2, 5 in decreasing order.\nAnswer: 5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r*r**(5\/4)*r*r)*r*r))\/(r**(3\/8)*r)*r**16\/r*((r**(2\/5)\/r)\/r)\/r assuming r is positive.\nAnswer: r**(571\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -701*u**4 - 726*u**4 + 344*u**2 + 1431*u**4 + 180*u**3.\nAnswer: 4*u**2*(u + 2)*(u + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s**3 - 3*s - 2. Determine p(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, and 1 z when three letters picked without replacement from uzlazaasuzluaaa?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let p(v) = -2*v**2 - 5*v + 3. Give p(z) - 3*q(z).\nAnswer: -2*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, u: 2}. What is prob of sequence zz?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7041 < -12\/3065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s - 291. Let p be y(49). Sort 77, -1, 1, p in increasing order.\nAnswer: -1, 1, p, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/(-684))\/(39\/(-24))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3276194, 6552401, 9828608, 13104815, 16381022?\n\"Answer: 3276207*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - -2) + 38 + -34.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.03 - 13.07. Let z = -14.0877 - m. What is z rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11774 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5810 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.12 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -127*f**5\/10 - f**4\/6 - f**3\/3 - f**2\/2 - 47*f + 1. What is the units digit of n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4525198?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 70. Let q be (-56 + c)*(-2 + 3\/4). What is the highest common divisor of 10 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 - 6 + 6 + (-3 + d + 3)*(-3*d + 6*d - 2*d) - d + d + 3*d**2 - d + 2*d**2 + d)*(2 - 2*d - 2) as m + f*d + o*d**2 + x*d**3 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -27128.\nAnswer: 10851.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -98, -217, -384?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-4*(-1 - 0). Suppose -3*j + 25 = -q. Let y = j + -1. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.175, 1, -0.04?\nAnswer: -1.175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 48775 = b, 4*m + 3*b - 27527 = 11493. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -0.4, -3\/5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * -7060.65.\nAnswer: 190637.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 2*o**3\/9 - 2*o**2\/3 - 6. Factor l(p).\nAnswer: 2*p*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 9966840.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8371, 16762, 25153, 33544, 41935, 50326?\n\"Answer: 8391*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 11, -1.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 1 + -5)*-6.\nAnswer: -54*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/12 + (-3)\/(72\/(-260)). Let w(i) = -3*i**3 + 29*i**2 + 10*i + 7. Determine w(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 71. Let d = -53 + p. What are the prime factors of 1*(-3)\/((-9)\/d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22155 + -6?\nAnswer: -22163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from pooaooazk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6*h + 3. Let j be h\/1*(-10 + 5). Let c(p) = -p. Let m be c(j). Solve -m*b + 11 = -4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 32 = -8*a + 12*a, -3*x - 9 = -2*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**3 - 3*c**2 - 7*c - 7. Let f(g) = -3*g**3 + 2*g**2 + 5*g + 5. What is 7*f(p) + 5*x(p)?\nAnswer: -p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*u - 1261914 = -8*u - 66314. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5*s = 3*u + 69, -5*s + 17*u + 19*u = 27*u for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 160300.87 and -8?\nAnswer: -1282406.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-39)\/3822*98\/(-12)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 72\/(4 - -5) + 1. Solve q = i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 9:09 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(78)\/((sqrt(96)\/sqrt(2))\/sqrt(8)) + (-1*(1 + sqrt(468)))**2).\nAnswer: -1407 - 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3829 divide 243838394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 2*p + 2. Let w be y(0). Suppose 0 = -4*q - n + 27, -w*q + 25 = 2*q + 3*n. Suppose -4*s + 1892 = q*s. What are the prime factors of s?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)\/(l\/(l**(5\/4)*l*l)))**(-18)*((l\/l**(-1\/7))\/l**(4\/3))\/((l*l*l\/(l**(-2)\/l)*l)\/(l*l**(-2\/7))) assuming l is positive.\nAnswer: l**(-7597\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*z**4 + 34183014*h - 947*z**4 + 30*z with respect to z.\nAnswer: 4*h*z**3 - 3788*z**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10219541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-9)\/6 - -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -846365 by -29.\nAnswer: 29185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -14*o + 68. Let c be 116\/10 - (-9)\/(-15). Suppose 5*r + 4*y = 19, -5*y = -o*r - 4 + c. Calculate the highest common factor of r and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 4:29 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13821600 divided by -143975.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/3 + 37*y**4\/3 - 46*y**3 + 202*y**2\/3 - 133*y\/3 + 11.\nAnswer: -(y - 33)*(y - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 15424, -4, 0, -5, 14 in descending order.\nAnswer: 15424, 14, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 82*u + 7. Let j be r(5). Let s(m) = 3 - 417*m + 2*m**2 + j*m - 2. Let i be s(0). Which is greater: i or 4\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1567 and 216877501.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 4*l - 4*l**2 - 1\/2*l**3 + 0 + 1\/6*l**4. Let p be d(6). Calculate the highest common divisor of p and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.14 + 0.06. Let v = 2.3 - x. Round v to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-53\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2*(207\/(-18) + 2). Suppose -18*u + q*u - 33 = 0. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {m: 5, x: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 10. What is the tens digit of (276\/16 - j)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 4. Let v = 1 + l. Let t = 5 - 8. Which is the nearest to v? (a) 2\/3 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*j + 27, -c - 5*j - 7 = -3*j. Solve c*a = 4*o - 12, -a - a = -o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 6:18 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*7\/(-28)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/128 and -69\/276947648?\nAnswer: 553895296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*a - 16, 4*a - 17 = 3*t - 1. Solve t = -3*y - 63 + 57 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495166?\nAnswer: 2, 7, 113, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -39, -103, -221, -411, -691, -1079, -1593?\n\"Answer: -3*o**3 - 7*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((16\/96*-21)\/(1\/2)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140773\/6 + -23462. Determine s, given that 1\/3*s - 1\/6*s**2 - w = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17849 in 0.4, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17382, 17372, 17362?\nAnswer: 17352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/17 + 5431416*h**2\/17 + 216899763336*h - 324524108199104\/17 = 0 for h.\nAnswer: -1357898, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -12. Let d(m) = -601*m - 36055. Let h be d(-60). Solve 4*t + 5*n = 13, n = -2*t + h*t + g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gog when three letters picked without replacement from ogxgoogwwwoo.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5314.27 to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 76563, 76566, 76569, 76572, 76575, 76578?\n\"Answer: 3*o + 76560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 786*d**3 - 148441 + 148441.\nAnswer: 786*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.28 greater than 4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16311 + -16311.2. Which is the closest to 1? (a) 1\/3 (b) p (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 a when four letters picked without replacement from {c: 3, t: 7, a: 8}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 times -41389?\nAnswer: -5132236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/120 + z**5\/60 + z**3\/6 - z**2. Let x = -1565 + 1567. Let s(g) = -g**3 + 2*g**2 + 2. Calculate x*f(i) - s(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p - 1\/60*p**5 - 1\/6*p**4 + 0 + p**2 - 1\/3*p**3. Let r be f(-2). Which is bigger: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1845326402 - 0.9.\nAnswer: -1845326402.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -102.20755 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-35)*12*(-20)\/((-160)\/(-7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((810\/243)\/(13275\/(-30)))\/(6\/(-27)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 745472 and 10556?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/144*6\/10*(-12)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006226 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 513309?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 560*v - 3347. Let t be y(6). Let o = 6 + -6. Suppose -5*x + 2*x + 105 = o. Solve r = -0*r + 2*n + t, 5*r - x = 4*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*g**3 - 32*g + 49*g - 17*g.\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 4*v**2 + 5*v - 63. Calculate l(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f + 100 = -43*f. Factor -10*a**2 - 9*a**3 + f*a**3 - 5*a - a**3.\nAnswer: 5*a*(a - 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 76*j + 219.\nAnswer: (j - 73)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 + -77. Let s(i) = i - 24 + 47 - l. Let f(y) = 3*y - 3. What is -f(j) + 5*s(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9 = 4. Suppose 4*q = -3*f + 75 - 8, 34 = 3*q - f. Let d = q - u. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p - 12 = -12*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*q + 723 = -1461 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4212 to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 1432?\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290252 and 62336?\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*g - 5 = 0, -2*g - 31 = -3*t - 6*g. Let b be (-5)\/(2 + 5 + (-15180)\/948 + 9). What is the greatest common divisor of t and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2587\/4 + -652. Find the common denominator of s and 5\/(-30) + 27\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 + -147. Let z = s - -10.0000191. What is z rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -18, -34, -66, -120, -202, -318?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8) - 2\/(-8)*6. Let u(z) = 208999*z**3 - z + 2. Let g be u(b). What is g rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -749\/53272 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**3\/p)\/p*p\/(p**(3\/7)\/p))\/(p*p*p**(-9)*p*p)**(3\/13) assuming p is positive.\nAnswer: p**(430\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -4*r + 2*r. Let f = -8 - r. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 10 = -5*w, 5*p + 0*p + 11 = 4*w. Let x = p - -11. Suppose 5*b = 4*q - 138, 4*b - x*b = 3*q - 88. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109.86 + -108. Let n = o + 0.14. Let u = -1.6 + 2. Sort n, u, -2 in decreasing order.\nAnswer: n, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + q + 2)*(2*q + 2*q + 0*q) + 6 - 6 + 4*q**2 + (-5*q + 4*q + 3*q)*(-q - q + 0*q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24817, -47094, -69371, -91648, -113925?\n\"Answer: -22277*r - 2540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - 45. Suppose -y = 4*s - 190, 9*y - 4*y - d = -s. Is (0 + s)*1 + 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2728 and 1272.\nAnswer: 433752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -3, 1, 1\/2, 30, 0.4, 2\/89?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/2073 and -37\/1545?\nAnswer: 1067595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v**4 + 23*v**4 - v**2 + 2*v - 40*v**4 in the form k*v**3 + t*v**4 + c*v**2 + b + n*v and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-12)*(-6)\/(-4))\/(-1). Let d(z) = 42*z**2 + 3*z + 6. List the prime factors of d(u).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41112.\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.8 - -0.087390278.\nAnswer: 39.887390278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149770 by -53.\nAnswer: 149770\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.751176913 to five dps.\nAnswer: 2.75118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-180)\/1944*(-18)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.5 and 337.186.\nAnswer: -1180.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 17*k**2 + 39*k + 142. What is s(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 200 and 4449793.\nAnswer: 4449993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18512560 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 2*r - 15*r + 2*r**3 - 3*r**2 + 2 in the form k*r**3 + b*r + v*r**2 + f and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11308 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 2, m: 1, l: 2, v: 1, t: 1}. What is prob of picking 1 m and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**2 + 7*h + 9. Let f(r) = -6*r**2 + 7*r + 8. Let s(q) = -13*q**2 + 15*q + 17. Let d(a) = 9*f(a) - 4*s(a). Give -9*d(w) + 4*k(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.4 - 23.4. Let t = z + 19. Let w = 0.1 + -0.2. Which is the nearest to w? (a) -0.2 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 + 129*i**2 + 30*i**2.\nAnswer: 177*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8269751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 6*b + 15. Let a be h(6). What is the highest common factor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 u when four letters picked without replacement from utttuuuuuuutt.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84.5095 + -0.0395. Let p = m - 85. Let o = -0.5192 - p. Round o to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3350068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z - 32. Let k(u) = 4*u + 29. Let t(d) = 5*k(d) + 4*s(d). What is t(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1 - 6 - (-21978)\/5643\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05982 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14480088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**36)**33\/(s**(-3)\/(s\/(s**(-1\/4)*s)))**12 assuming s is positive.\nAnswer: s**(-2103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/(-36) - 5 - (25 + -28) - 1.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 + 1049128*w\/13 - 1049130\/13.\nAnswer: 2*(w - 1)*(w + 524565)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -209 (b) 7 (c) -2\/13 (d) 1\/5 (e) -6 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6787, -25200, -55891, -98860, -154107?\n\"Answer: -6139*f**2 + 4*f - 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.1 + 11. Let h = j - -2.55. What is h rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:47 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -4\/5, 0, 2, 20 in increasing order.\nAnswer: -1.1, -4\/5, 0, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*k, 5*k + 9 = -b - 13. Solve -11 = -b*r - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216 = 195*k - 163*k for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -559, -643, -727, -811, -895?\n\"Answer: -84*p - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:52 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288094553 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = 2*b, 2*b = -0*v - v - 6. Let z(p) = p + 16. Let x be z(b). Let g = -11 + x. Solve 4 = s + 4*a, g*a = s + a - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a - 4. Put 30, -3, a, 4 in increasing order.\nAnswer: -3, a, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ddc (base 14) to base 16.\nAnswer: ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3614 + 3609. Put 0.2, 1, 4, j, -3\/4 in decreasing order.\nAnswer: 4, 1, 0.2, -3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 3*r - 2*r)*(4*r**2 + 4*r**2 - 5*r**2) + (-2*r**2 + 2*r**2 - 2*r**2)*(3*r - 2*r - 3*r) - 3*r**3 - 2*r**3 + 3*r**3 + r**3 - 2*r**3 + 3*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f*f*(f**5\/f)\/f)))**(17\/6)*f**1\/(f\/((f\/(f*f\/(f\/(f*f**0*f))*f*f))\/f)) assuming f is positive.\nAnswer: f**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -640, -955, -1270, -1585, -1900?\nAnswer: -2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -167 in -0.4, 4, 44, 768?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51700735 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91698 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: Calculate prob of sequence oohh when four letters picked without replacement from {h: 2, o: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18638 + 18a?\nAnswer: -18459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = 4*u + u, -3*u = -m - 3. Suppose 0 = -5*h + u + 9. Suppose 72 = h*d - 118. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2905 divided by -5?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-360)\/50)\/((-39)\/(-65)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 0, -1, 2 in descending order.\nAnswer: 9, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 9:36 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98 - 5*b**2 + 16 + 289*b - 289*b to z*b + g*b**2 + s and give s.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 115822.2\nAnswer: -694933.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*l**2 - l - 2*l**4 - 24*l**2 + l + 2*l**3 + 3*l to s*l**4 + z*l**2 + c*l + f*l**3 + x and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -12*k**2 + 99*k + 51. Let d(a) = 3*a**2 - 25*a - 12. Let c(g) = 15*d(g) + 4*j(g). Factor c(q).\nAnswer: -3*(q - 8)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -973*h + 2. Let q(g) = g**3 - 3*g**2 - 19*g + 3. Let i be q(6). Is y(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)\/(0 + -2). Let t be (b\/(-3))\/(2\/(-6)). Let m be 0\/t + 2 + -1. Solve 2*p = -5 - m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8892369 rounded to 2 dps?\nAnswer: -1.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 4. Let d(f) = 26*f. Let l(w) = 3*d(w) + 15*x(w). Differentiate l(o) wrt o.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3228)\/1345*(225\/(-10))\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(315)\/sqrt(7)*-5)\/(3*sqrt(729)*-5).\nAnswer: 5*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from vtvtttvtvvttt.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32467 is divided by 926?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15901, 31827, 47777, 63763, 79797, 95891?\nAnswer: 112057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)*l)**(-7)*(((l\/(l**(-4)*l))\/l)\/l)**(-7\/3) assuming l is positive.\nAnswer: l**(-343\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 1, 19, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-143) - (-8)\/198.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*r - 3*m, 5*r - 16*m + 19*m = -29 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 131927815 to the power of 1\/2, to the nearest integer?\nAnswer: 11486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x + 84. Let h be p(15). Let i be (-833)\/h + (-2)\/(-6). Calculate the greatest common divisor of i and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691161171*i**3 + 6*i + 691161159*i**3 - 6*i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 234.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 714 - 112 = 0. Is d a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 + 3*h**2 + h**3 - 4*h - h**2 + 11*h + 4. Let v be z(-5). List the prime factors of (1 + 1)*(7 + v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 + 1391636*f**2\/7 + 121041368096*f\/7 + 121039976464\/7.\nAnswer: 4*(f + 1)*(f + 173954)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 1. Let p(g) = -46*g**2 - 5. Give 5*h(j) - p(j).\nAnswer: 51*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-18)\/(-24))\/((-3)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 31*n - 29. Let c be s(16). Find the common denominator of 37\/9 and ((-51)\/(-20))\/(c\/52).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/108696 and -151\/58230?\nAnswer: 1630440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47222 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-3644)\/3)\/2)\/(54\/(-3483)) + -6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + 5*t**2 - 4*t**2 + 67*t + 685 + t**3 - 70*t. Let v be h(0). Find the third derivative of -17*w**2 - 27*w**5 - v + 685 wrt w.\nAnswer: -1620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31301\/5 < -6260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 8. Suppose 2*p + 4 = 2*t, 2*p + 11*t - 9*t = 16. Let c be i(p). Let h = 12 - 24. Which is greater: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11027825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 3, v: 4}. Give prob of sequence kiv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(-2 + (-5)\/(-2)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -15, -33, -69, -129, -219?\n\"Answer: -x**3 + x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*l - 47*c**3 + 1170*c**2*l - c**2 + 4072*c*l - 15*c + 1 wrt c.\nAnswer: 12*c*l - 282*c + 2340*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1050\/23 + 60847\/1288. Let s = 43577 + -3965464\/91. Find the common denominator of s and k.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/594)\/(2*7\/84). Let o = u - -3034\/9999. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2. Let w(m) = 77*m**2. Calculate w(c(n)).\nAnswer: 693*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 7*y**5\/120 - y**3\/3 + 42. Let v(m) be the third derivative of a(m). Let t(r) = 3*r**2. What is t(v(l))?\nAnswer: 147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(sqrt(126)\/sqrt(2) + sqrt(7) + sqrt(112)*1))**2 + 2.\nAnswer: 96*sqrt(7) + 1803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 105908 (base 10) to base 7\nAnswer: 620525","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does -2390292 = 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s - 2*s - 3*s - 2*s. Let t be r(-3). Calculate the highest common factor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.625 + 0.215. Let p = b - 16. Let n = p + 0.16000025. What is n rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 20*i - 161 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 138335664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23085\/(-5130)*16\/6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-273)\/(-6)) - 290\/35\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 32 = -2*t + 21, 3*t = -4*a + 26 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3108*u**3 + 1131*u**2 - 2 wrt u.\nAnswer: 18648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1328805362 to the nearest integer?\nAnswer: 36453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.4 (b) 3\/4 (c) -0.1 (d) 273\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 340 - 104. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 23, 0.05, 31, 4, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*j + 3, 0 = 5*j - 3*u - 5 - 1. Suppose 6 = -2*r, 85 = 3*h - j*r - 77. Let i = h - -28. List the prime factors of i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 68 = w - 2*b, -4*b = -w - 1. Let x = -9 + w. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -14*g**2 + 155*g - 340. Let d be i(8). Solve -4*t + 4 = -d*s, -12 = 4*t + 17*s - 13*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.4882033 to three decimal places.\nAnswer: 20.488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4 + 5*j**2\/2 - 6*j. Let p(d) be the second derivative of 13*d**4\/12 + 3*d**2 + 65*d. What is 6*o(z) - 5*p(z)?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + (-51)\/(-15). Suppose 0 = 10*o - 6*o + v*h - 1002, 3*h = 6. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12122121022 (base 3) to base 2\nAnswer: 11011001010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6195910153.\nAnswer: 3727, 1662439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13*200\/(-715)*7\/(-35)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-6 - -8)\/(-3*3\/(-90)) and 52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:27 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1077 - -874. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d = -2. Let v be (5 + 3)\/d - -9. Suppose -v*z + 34 = 9. Solve j + 24 = -z*f, 2*j - 1 = f - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*k + 8*k**5 - 7*k + 20*k - 4 - 4*k**2 wrt k?\nAnswer: 160*k**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a week in minutes?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from miimiimmmiimiimi.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 18 = 4*o, -3*o + 4 - 2 = 2*g. Suppose -a + 102 + 11 = h, -o*h = -a + 98. Does 36 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*y = -75152, -2*b - 4*y + 1162 = -36420. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -6. Suppose r - c - m = -2*r, -4 = 4*c. Suppose 4*x + 836 - 92 = 4*p, r*x - 574 = -3*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*b - 136*b = 136*b - 132 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 7*c + 3. Suppose a = 5*k + 8, 2*k = 5*a + 5*k - 40. Is h(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 19 (c) 0 (d) -117 (e) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 278062 and 4838?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.42 + -1.78. What is x rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b2 - -7?\nAnswer: -3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -446.6 rounded to the nearest ten?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**6\/t*t*t*t**(-1)*t)**(-1\/7)\/((t**(-6)\/t**(5\/4))\/(t**1*t**(2\/11))) assuming t is positive.\nAnswer: t**(2245\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 82, 7, -5, 4 in descending order.\nAnswer: 82, 7, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103.2 + 103.21174. Round t to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 411371, 1645516, 3702421, 6582086?\n\"Answer: 411380*n**2 + 5*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdg when three letters picked without replacement from {d: 1, g: 6, x: 3, u: 9}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:28 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(1872)*1.\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2920 by 584.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x**(3\/11)*x**(-1\/3)*(x*x*(x\/(x*(x*(x**(-4\/5)\/x)\/x)\/x))\/x)\/x)\/(x**(2\/9)\/x*x*x*x**(-2\/17)*(x\/x**(-1\/3))**42) assuming x is positive.\nAnswer: x**(-419998\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/12)\/((-2)\/474)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -767, -1255, -1727, -2183, -2623, -3047?\nAnswer: -3455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {s: 1, x: 1, m: 2, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and 1?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*w**2 + 155766*w - 1088500.\nAnswer: -2*(w - 7)*(19*w - 77750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390673 - 161431 = -8*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 632411.9 centuries?\nAnswer: 758894280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f**3 + 117*f**2 + 5*f - 47. Calculate c(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242321 (base 8) to base 5.\nAnswer: 10130103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6139714 to 3 dps.\nAnswer: 6.614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20130 and 9390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/((-36)\/30) + 156\/32 and 65\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1893 + 4292 - 1762)*(-5 + 2 - 1)*(-5*s - 3*s - 2*s).\nAnswer: 25480*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 4746, 4?\nAnswer: 4746","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + -6 + 6 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -63.35. What is z rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*m**4\/8 - 15554295*m**3\/4 - 2109503133*m**2\/8 - 418167591*m\/2 - 83384649\/2 = 0. Calculate m.\nAnswer: -67, -2\/5, 414849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -42. Let m = a - -30. Let o = 61 + -56. Solve 2*d - 14 = o*w, 4*d + m + 3 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244.836 rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 464348*h. Let c(w) = -276*w**2. What is o(c(d))?\nAnswer: -128160048*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p + 1\/4*p**2 + 1\/4*p**5 + 3\/4*p**4 + 3\/4*p**3 + 0.\nAnswer: p**2*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 26434*u - 291016.\nAnswer: 2*(u - 11)*(u + 13228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41 + 56?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i*i\/(i**5\/i))\/i*i*i)**1 assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15552, 38630, 77094, 130944, 200180?\n\"Answer: 7693*l**2 - l + 7860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 5*a**2 + 51*a - 101. Determine o(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.699 - -0.301. Let p = 102 - 1124\/11. Which is the biggest value? (a) p (b) f (c) 0.6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + r - 10. Let o(b) = -b. Determine c(g) + o(g).\nAnswer: 2*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -475, -424, -287, -22, 413?\n\"Answer: 7*j**3 + j**2 - j - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/11803 and -0.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1, 15, 18, 2, -4, -69 in increasing order.\nAnswer: -69, -4, -1, 2, 15, 18, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -205970 divided by -6?\nAnswer: 102985\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**7*n)\/n)\/(n\/(n*n**(-6))))\/(n\/(n\/n**1)*n\/(((n**(-5)\/n)\/n)\/n*n))*n**(2\/13)*n**7*(n**(-3)*n)\/n**(-4) assuming n is positive.\nAnswer: n**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4022 = -9*r - 55. Let q be 2 - 4*r\/(-912). Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002343 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**2 - 9420*l + 2951695 = 0.\nAnswer: 397, 1487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + 0.15. Suppose 0 = -q + t + 19, -18*t - 53 = -3*q - 19*t. Let v be (((-120)\/(-50))\/(-6))\/(q\/10). What is the closest to a in 1\/2, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**6\/24 - z**4\/12 + z**2 + 20. Let r(u) be the second derivative of y(u). Find the second derivative of r(q) wrt q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n + 7. Let j be b(-5). Suppose j = 3*s + 6. Let g = -5 + s. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 + 5*w + 7. Let a be k(-1). Let o be (a\/30 + 0)\/(4\/16). What is the biggest value in o, -1\/10, -11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*n**2 + 0*n + 8\/15.\nAnswer: -2*(n - 2)*(n + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1))**17\/(o**(-1\/5))**(13\/3) assuming o is positive.\nAnswer: o**(523\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 8339\nAnswer: 41695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1195 is divided by 171?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/5874462 and 71\/66.\nAnswer: 5874462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 28 = -6*j. Suppose -4*m + 2*a + 32 = 0, j*m - a - 33 = 1. Solve 1 = 4*f + m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b**3 - 29*b**3 + 15515139*b**2 - 15515139*b**2.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f - 4*f + 6*f + 59. Let m be q(13). What is the units digit of 15\/m*54\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6442539m?\nAnswer: 0.0006442539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -201773 less than -28046580\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552.2 + 0.06?\nAnswer: 2552.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*q + 3 = -111*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 5*p + 211 = 43 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/420 - 5*x**4\/28 + 75*x**3\/14 - 54*x**2. Factor f(q).\nAnswer: (q - 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 104*n = 136*n - 60, f = -3*f - 3*n + 95 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*s - 520119. Let f = 212027 + s. Let y = -75400 + f. What is y rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115514?\nAnswer: 2, 7, 37, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + 36*o + 236756*o**3 - 17 + 13*o - 236757*o**3 to the form p*o**2 + i + g*o**3 + q*o and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-5))\/((48\/(-6))\/(-40))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12549\/11 + 1140. Let f = y + -15\/22. Let j be (4 - 2)\/6 - -1. Which is the third biggest value? (a) f (b) -2\/13 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0\/(-3))\/(-4). Suppose 2*g + 4*l - 12 = 3*l, 4 = -4*g + 5*l. Suppose -1\/2*w**2 + 0 + 0*w - 1\/4*w**3 + v*w**g = 0. Calculate w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308115 to the power of 1\/2, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (-3*(sqrt(77) + (sqrt(77) + sqrt(77)*1 - sqrt(77))) + sqrt(77)))\/(sqrt(704)*2 + sqrt(704)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*d - 16. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + t - t)*(11*t**3 + 0*t**3 + 0*t**3).\nAnswer: -22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -368626 or -368621?\nAnswer: -368621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 - 3*v**3 - 15*v**3 + 20*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let c(s) = s - 1. Let g be ((-24)\/(-4))\/(0 - -2). Let k = -1 - g. Let u(m) = -m**2 + 4*m - 4. Let y(b) = k*c(b) + u(b). Determine y(v(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1317 - -1344. What is the remainder when 6\/(-27) - 5782\/(-18) is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 395*b**2 + 4 - 397*b**2 - 1 + 4*b**3 in the form s*b**2 + i*b**3 + t + h*b and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.26 - -0.76. Let q = -2.5 + k. What is the closest to -2\/3 in 2, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 5*u + 163 + 437 + 2*u**2 - 582 + u**3. Determine v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1556352 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 (base 11) in base 9?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = 6. Let w = 2 + u. What is the smallest common multiple of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -6) + 19 - -18?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3000 and 37012?\nAnswer: 27759000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 5153 - 4493 + 2*c**2 - 19*c - 40*c + 3*c**2.\nAnswer: (c - 44)*(c - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Suppose 3*a + 60 = 3*l + 72, -5*a - 5 = 0. Let w be ((-8)\/42)\/((-6)\/(-9)). What is the fourth biggest value in w, l, 3, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700 + -2743 + (41 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/218 and 7 + -11 + (-132)\/(-54)*18\/8?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -8)\/(-4)*-2. Let -3*h**2 + 21*h - 5*h**f - 9 + 5*h**2 - 3*h**2 = 0. Calculate h.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19950 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25793\/9 - -2873. Let a = -379 + 1090\/3. Find the common denominator of a and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/60 + j**2. Let c(m) be the second derivative of m**3\/3 - 8*m. Determine c(r(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**3)\/(o\/o**5)*o**(-7)*o\/(o*o**(-5\/6))*o*o)\/(o\/o**(-5)*o\/o**(-1)*o*o**(2\/5)*(o*o**(-4))\/o) assuming o is positive.\nAnswer: o**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - 1077?\nAnswer: -1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7192 is divided by 327.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11495, -11537, -11579, -11621?\n\"Answer: -42*l - 11453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2 + 20*b - 22. Let t(x) = 5*x**2 - 40*x + 45. Let h = -13 + 11. Let w(c) = h*t(c) - 5*d(c). Factor w(s).\nAnswer: 5*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10*h + 6. Let q(s) = s**2 - s + 15. Let b be q(0). Let v = 5 - b. What is the tens digit of u(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-111*g - 3*g - 42*g)*(3*g**3 - g - 250 - 6*g**2 + 250) to the form x*g**4 + r + c*g**3 + l*g**2 + z*g and give x.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6 + 0)*((-182)\/28 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2 - 2*l + l - 2. Let o be u(-10). Suppose 0*f - 2*f + o = 0. Solve -f*b = -b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.2 + 62.9. Let t = d - 73. Let s = t + -4.09769. Round s to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:43 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 2*n + 4. Suppose 0 = -2*m - 0*m + 3*c - 21, -4*m - c = 7. Let a be k(m). Let h = -20 + a. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/4 + 15*z**2 - 189*z\/4 = 0 for z.\nAnswer: -63, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((315\/126)\/(((-150)\/(-9))\/5))\/((-9)\/(-408))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614932.\nAnswer: 2, 11, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283, -284, -285, -286, -287?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a + 3. Let m(n) = -226*n**3. Let c be m(a). Suppose -4*o + 2*o - 4*r = -c, -4*r + 448 = 4*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**3 - 271*x + 517. What is h(2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 3\/4, 0.201, 0, -16.2 in descending order.\nAnswer: 3\/4, 0.201, 0, -16.2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21290 is divided by 423.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2296*j**2 + 17 + 10 - 25.\nAnswer: 2296*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2231264458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2881*k - 2824*k - 798 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28017074 to the power of 1\/2, to the nearest integer?\nAnswer: 5293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1420 - -1440. Solve d*v = 24*v + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdbwb. Give prob of picking 1 d and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*a - 40. Solve -2 = s - a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 29 + 15. Suppose -a*p + 3 = -8*p. Calculate the least common multiple of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*l + 37385 = 5*o - 88*l, 0 = o - 5*l - 7461. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 2:08 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 equal to -5235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2226 and 93535.\nAnswer: 208208910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 13) + 15 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8534 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**5 + 1225806*o**4 + 375650087382*o**3 - 33096708*o**2 - 10142486166519*o + 20285104720086 = 0.\nAnswer: -612903, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-2566 + 2566 - 151*z) - 5*z - 13*z + z.\nAnswer: 285*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*t + 285 + 2009 = -787*t for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c + 42*c + 47*c.\nAnswer: 111*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 - 1. Which is the closest to z? (a) -2 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -905\/6 - -457\/3. Suppose -2*u - 1 = 1. Which is the nearest to 2\/5? (a) u (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from ruruuuuu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1033.4 - 1166. Let f = 18.6 + p. Sort -3\/4, f, -2 in increasing order.\nAnswer: f, -2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337 divided by 5.\nAnswer: 337\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.9 + 7. Let u = 2866 - 2864. Which is the nearest to 5\/2? (a) n (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000001101010111000010 (base 2) to base 4\nAnswer: -20031113002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 299696506*x**2 - 1165090398 wrt x.\nAnswer: 599393012*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 8. Let z be c(-8). Let p = z - -2. Solve -5*u + 4 = 2*y - p, 0 = u + 3*y - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - 248*y**2 - 4188*y + 6035. What is f(-58)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-2))\/((-7)\/8414)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(11)*-1 + 1 + (sqrt(22)\/sqrt(2) + 5 - sqrt(11)) - (0 + sqrt(1584)*1 + -3)**2.\nAnswer: -1586 + 71*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 439863532933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**7\/2520 - w**6\/240 + w**5\/60 - 3*w**2. Let z(u) be the third derivative of h(u). Differentiate z(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -3142?\nAnswer: -3147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 307*q - 4. Let j be i(2). Let a = j - 213. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) -8\/7 (c) 0 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2273*t + 11362. What is d(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6*r - 3*r = 24, -4*r = 3*p - 47. Calculate the highest common factor of 6 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63152*m*z**5 + 3*m*z**3 + m*z + 15*m + 66*z + 26 wrt z?\nAnswer: 1263040*m*z**3 + 18*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 9. Suppose -10*g = -6*g - 16. What is the least common multiple of -3 + (2\/(-12) - (-307)\/r) and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1116840437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 6. Let k be 8\/(-6)*z\/(-4). What is t in -2*t**k + 4*t - 2*t + 2*t - 2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q - 200. What is the remainder when 8 is divided by y(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -48 + 3832 + -3858 - (-20 - -2)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/30*4*42\/(-140).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-760)\/9 + ((-520)\/390)\/(3 + -6)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**4 - 3*u**3 + 157019*u**2 - 6362121*u wrt u?\nAnswer: -36*u**2 - 18*u + 314038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 38 = -13. Put 5, t, 1 in ascending order.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 = -5*h, 4*h + 3*z + 2*z = -5. Suppose -u - 2 - 1 = h. Put -2, u, 1 in descending order.\nAnswer: 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155451704*l**2 - 360299917*l?\nAnswer: -310903408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207473 - 1111?\nAnswer: 206362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00042530569 to 7 dps.\nAnswer: -0.0004253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lquduuiudq. Give prob of picking 1 d and 1 l.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**3 - 2*g**2 + 4*g - 3. Let c(q) = -20*q**3 + 5*q**2 - 11*q + 8. Calculate -3*c(t) - 8*y(t).\nAnswer: 4*t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -3*b - 87. Suppose -x + b = -32. List the prime factors of x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-5) + (-33)\/(-15). Suppose f*z + 10 = 4*m, 4*z - 3*z + 14 = 5*m. Solve -2*a - 5 = -4*k + m, 2*k - 8 = 2*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a**2 + a. Let b be u(0). Suppose b = -2*c + 66 + 64. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12014\/7 - 119783\/70. What is the common denominator of a and -40\/183?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) + 9\/4. Let k(v) = -v + 15. Let a be k(13). Let u = n + a. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -37 - 19. Let x be 78\/(-12)*(-2 - a). Solve -x*u + 70*u - 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2*o*o\/o**1)\/(o**(-7)*o*o**(1\/9)*o))\/((o*o*o\/((o*o*o**6)\/o*o))\/(o\/(o\/o**(1\/9)*o)*o))**(-8\/13) assuming o is positive.\nAnswer: o**(224\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4078 is divided by 329?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1090795g?\nAnswer: 109079500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-96)\/(-60))\/((-4)\/(-10)). Let z be j + 0\/3 + 50. Does 26 divide (-4 + 2 + z)*2\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192038?\nAnswer: 2, 7, 11, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1641 or 21?\nAnswer: -1641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4770036 divided by 36.\nAnswer: 132501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 32436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 13. Let j = x + 19. Let y = -2.012 + 0.012. What is the nearest to 0 in -5, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 6*s = 14, 154 = 4*z - 4*s + 150 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 9*l - 1. Let h(i) = i. Let p(c) = -4*h(c) - r(c). Let d be p(-3). What is the third biggest value in -2\/5, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -197 - -1023. Let i = -581 + x. What is the highest common divisor of i and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.726673 minutes in seconds?\nAnswer: 43.60038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 13*s - 2. Let c be b(12). Let z be 4\/(-2)*c\/35. Factor -2\/5 + 6\/5*o**4 + 2\/5*o**5 + 4\/5*o**3 - 6\/5*o - z*o**2.\nAnswer: 2*(o - 1)*(o + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5336\/15 less than or equal to 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5291885 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((8\/30)\/((-11)\/55))\/(6\/(-100377)). What is y rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10675)\/350 - (-40 + 6))*240\/21.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -3)\/((-2)\/(-6)). Suppose f + 140 = 6*f. Let q = f + g. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k - 7. Let v be h(-5). Let t be 3\/9*(4 - v). Which is the closest to -1\/4? (a) t (b) 0.1 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -0*f - 4*f. Let c = 61\/37 + -4769\/222. Find the common denominator of c and ((-2)\/8)\/((-1)\/f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/7 - 16*y**4\/7 + 12*y**3\/7 + 80*y**2\/7 - 122*y\/7 + 48\/7 = 0.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2314901 and -3.\nAnswer: 6944703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11524599 divided by 3?\nAnswer: -3841533","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2 + 16*u + 2. Let f(o) = -11*o**2 + 29*o + 5. Let j(r) = 31*r**2 - 82*r - 14. Let w(d) = -17*f(d) - 6*j(d). What is -i(h) - 2*w(h)?\nAnswer: 3*h**2 - 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l + 5*l**2 + 0*l - 2*l in the form v + z*l**2 + w*l and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.49891 tonnes to grams.\nAnswer: 25498910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12211 - -1020300?\nAnswer: 1002023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -18252777 != -200780562\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 + 243. Solve 0 = -4*u + 15*z - 12*z, -5*z = 4*u + j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89961187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405176140 rounded to the nearest one million?\nAnswer: -1405000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8338044 rounded to 3 dps?\nAnswer: -0.834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*r + 992 = 129*r + 175*r. Solve -505*d + 506*d = -r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5518 * -80\nAnswer: 441440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, s: 5, t: 5}. What is prob of sequence ttst?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5227 - 31*z**3 + 16*z**3 + 5227.\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -390*i - 481. Let g(m) = 129*m + 161. Let v(a) = -11*g(a) - 4*s(a). What is the first derivative of v(u) wrt u?\nAnswer: 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 less than 52.7?\nAnswer: -284.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, j: 1, q: 1, a: 1, w: 5}. Give prob of picking 1 j, 1 q, 1 w, and 1 a.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490543 is divided by 259.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 347 - 176 - 2*u + 648*u**3 - 171 + 244*u**2 wrt u.\nAnswer: 3888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 5*q**2 - 8. Suppose 11*b = 6*b + 380. Suppose 2*m - 4*m = -b. Calculate the remainder when m is divided by w(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 12:22 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000688123 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/(-1) - (-11)\/(-2). Let q = 250 - 256. Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 - -3. Let c = 1.1 - u. Let h = 2.2 + c. Round h to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33226.6 to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2. Let q(m) = m**2 - m. Let l(y) = 60*y**2 - 75*y. Let c(n) = l(n) - 75*q(n). Determine c(d(z)).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 4*j**3 - 4*j**3)*(13181*j + 137*j**2 - 13181*j - 1).\nAnswer: 274*j**5 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -19*r - 24*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -246*k - 19*k - 4 + 4 in the form l + m*k and give m.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1228 + -72. Suppose 16*a - 15*a - l = 0. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igiggigsigggigssi. Give prob of sequence ggss.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -121011 (base 3) to base 11\nAnswer: -367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 4*y + 3 + y. Let i be g(-3). Let p be (-1)\/(-2)*-1*i. Solve -p*u - v = -u - 2, -5*v - 2 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*x)*(x**2 + 4*x**2 - 2*x**2) + 2*x - 2*x + 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 10:46 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3 (c) -400039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 39*m**3 - 2*m**2 + 3*m - 70. Let g(i) = -77*i**3 + 5*i**2 - 8*i + 140. Let y(q) = -5*a(q) - 2*g(q). Find the second derivative of y(z) wrt z.\nAnswer: -246*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2008984.\nAnswer: 2, 19, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89\/2 - -45. Let n(i) be the first derivative of -r*i**2 + 1 - 4*i. Determine n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l - 1 + 1)*(-2 + 4 - 3) - 3*l + 0*l + 5*l)*(1574 - 16*l - 1574).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -78*y**4 - 12*y**3 + 98*y**3 + 160*y**4 - 100*y**4 - 16*y - 52*y**2.\nAnswer: -2*y*(y - 4)*(y - 1)*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4.4. Let p be 28\/(-24) + (-1)\/(-2). Let y = -18 - -18.1. Which is the nearest to p? (a) y (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370875.322 rounded to the nearest 1000?\nAnswer: 371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47866 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24524088, 49048179, 73572270, 98096361, 122620452?\nAnswer: 147144543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and -849251.\nAnswer: -849243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*z - 61*z - 13*z**3 + 5*z**3)*(14*z - 5*z - 28*z).\nAnswer: 152*z**4 + 19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 e, and 1 l when four letters picked without replacement from {t: 4, l: 1, e: 6}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40104 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 25*j + 125. Let s be b(18). Let d(l) = l**2 - 3. What is the remainder when 4 + 170\/(s - -3) is divided by d(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.74*1.1.\nAnswer: 0.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 891108228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 234 - -64?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200022 - -112?\nAnswer: 1200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*f + 90*f - 20 = 0. Suppose 0 = -39*a + 44*a + 110. Sort -1, f, a in descending order.\nAnswer: f, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466388329 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 57257632333 - -2596\nAnswer: 57257634929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**3 + 110*h**2 + 9*h - 101. What is t(-22)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25568 and 470.\nAnswer: -12016960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (93 + -58) - -15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Suppose -82 = -5*l - t*o, l + 54 = 4*l - 3*o. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**3 - 2220*a**2 - 370359*a + 15276438 = 0.\nAnswer: -387, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n, -55572 = -5*f - 2*n - 55547 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/285 or -83680?\nAnswer: -83680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1641.485um?\nAnswer: 1641485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24343 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*a - 8*a - 14*a)*(2 + 1 - 1)*(22 - 22 + 12*a).\nAnswer: -816*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 29 + -37 + -21\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*v, -3*v = u - 5*u + 42. What is the greatest common divisor of 39 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 176, 1250, 4148, 9782, 19064, 32906, 52220, 77918?\n\"Answer: 152*f**3 + 10*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 6. Let f = 18 - p. Is f\/((-15)\/(-639)) + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 30.96. Let o = 10221.973 - 10191. Let r = p - o. Round r to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h + 29*h + 190 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/6 + 9*m**4 - 101*m**3\/6 - 80*m**2\/3 + 34*m + 104\/3 = 0. What is m?\nAnswer: -1, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l - 4. Let y be a(-1). Let h(i) = -6*i + 3*i**2 + 4*i**y + 8 - 6*i**2 + 13*i. Calculate h(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*w = 913*w + 187 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -2)\/(-8)*2. Let k(z) = z**2 + 2*z - 2. Let n(s) = 0 + 0 - s + 1. What is q*k(f) - 2*n(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 38*b**2 - 45*b - 55. What is a(-20)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 5, g: 3}. Give prob of sequence bgw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 434, 867, 1300, 1733, 2166, 2599?\n\"Answer: 433*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -15452 + 35*m + 15452 - 2 + 2 + m + 3*m + 3*m - 5*m + (-5 + 5 + 2*m)*(-1 + 0 - 1) - 5*m + 2*m + 2*m in the form g*m + f and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(312)\/(sqrt(12)*2))\/sqrt(2) + -1*sqrt(832) + 2)*1)**2.\nAnswer: -30*sqrt(13) + 2941\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55619047*z**2 + 5536570?\nAnswer: -111238094*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**6\/480 - 11*a**5\/60 - 23*a**4\/24 + 6*a**2 + 16*a. Solve g(q) = 0 for q.\nAnswer: -2, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 9 - 75)*(6 + 0 - 9)*(3*b - 4*b + 0*b + (0 - b + 0)*(1 + 0 + 0))*(7*b - 2*b - b) as i*b**2 + g + q*b and give i.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/2 + -4)*(-60)\/3. Suppose -c + 2 = -0*c. Suppose i = c*r + 2. Solve a + 20 = -r*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4658 is divided by 1502?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 5*o**2 - o + 3. Is k(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -8\/7*a**3 + 0*a**5 - 13\/42*a**4 + 0*a + 1\/210*a**6 + 0 + 63*a**2. Factor i(s).\nAnswer: 4*(s - 4)*(s + 1)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 2:23 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/30 + 53*a**4\/24 + 11*a**3\/6 - 38*a**2. Let n be q(-28). Let z = -83 + n. What is the remainder when 44 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-2330\nAnswer: -9320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48731 * 3.\nAnswer: -146193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22732? (a) -1 (b) 0.01 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2836, 2839, 2842?\n\"Answer: 3*m + 2833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 2786*r + 704*r - 3 + 1377*r + 8.\nAnswer: 4867*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a + 2*a - 4*a + (0 + 1 - 3)*(-3*a + a + 0*a) - 2 + 2 + 2*a)*(0 + 2*a**3 - a + 0) to the form w + y*a**2 + i*a + p*a**4 + g*a**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -209830 greater than -209799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**4 - 447*o**3 - 359*o**2 - 3*o + 3 wrt o.\nAnswer: -24*o - 2682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20187 + 20442. Solve 0 = -m*k + 252*k - 5*j - 30, -4*j = -4*k - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641236\/19 > 244276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*s**2 - 13*s + 4*s + 9*s to g*s**2 + x + z*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (15 - 29) - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1 + 6\/3. Suppose -g*z = 3*z - 15. What is the second derivative of 0*n**4 + 2*n**4 + 2*n**z - 2*n**3 + 2*n wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*d + 52*d + 132*d.\nAnswer: 58*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 10:40 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1301, -1292, -1281, -1268, -1253, -1236?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -u + 6. Let j be (10\/(-8))\/((-4)\/u). Solve 0 = -3*r + 4*r + 3*h + 17, 3*r - j*h - 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 5*r + 3*r)*(-89781 + 89781 - 1724*r**3) to the form v*r + w*r**3 + i + o*r**2 + m*r**4 and give m.\nAnswer: 1724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-26 - (-12 + (9 - 11)) - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0314696mm to kilometers.\nAnswer: 0.0000000314696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 7*c - 450. Let j = c - 81. Let x(n) = -n**2 + 3*n + 1. What is x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, h: 4, d: 2, s: 3, q: 1}. What is prob of sequence sv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 546, 1092, 1638, 2184, 2730, 3276?\nAnswer: 3822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m - m)*(0*m - m + 2*m)*(-476*m**3 + 226*m**3 + 220*m**3).\nAnswer: -30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*k + 73*k = 4944528. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*r - 220*r + 855*r - 215*r - 212*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*d + 4, -3*c + 9 = 4*d - 0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5689 divided by -5.\nAnswer: -5689\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/(-12) + 7 + (-103914)\/(-27)?\nAnswer: 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asd when three letters picked without replacement from {h: 2, k: 5, v: 1, d: 3, a: 3, s: 1}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 9 + 10)*(-o - 3*o + 3*o) as u + l*o and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 113?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 22 - 290*a**3.\nAnswer: -290*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (28999 + 66922 + 2303 - 29067 + 95622 + 16994)*(j**4 + 2 - 2) as f*j**4 + g*j + l + c*j**3 + i*j**2 and give f.\nAnswer: 181773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 26*i**4 - 1858*i**3 + 2658*i**2 + 154*i - 980 = 0.\nAnswer: -7\/13, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**3\/3 - 7*g. Let r(h) = -2*h**2. Calculate r(y(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 161 - 1125\/7. Let r = -8.2115 + 11.2115. Put c, -4, r, 0.4 in increasing order.\nAnswer: -4, c, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/28 + 36\/(-77).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34017394?\nAnswer: 2, 59, 288283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 611, 894, 1167, 1430, 1683?\n\"Answer: -5*a**2 + 298*a + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*j - 128*j - 236*j + 4200 = -5880 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -357 - -650. Let n = w - 287. Calculate the lowest common multiple of 84 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/12 + 1\/2. Let v = 7 - 5. Suppose -t = -v - g. Solve -6*x + t*d = -x - 22, 14 = 3*x - d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 11:43 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-24 - -4) - (3 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0*b**2 + 1\/12*b**4 - 1\/30*b**6 + 1\/20*b**5 + 0*b**3 - b + 0 - 1\/42*b**7. Factor h(j).\nAnswer: -j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 261, 138, -65, -348, -711, -1154, -1677?\n\"Answer: -40*s**2 - 3*s + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-14)\/(a\/a**(-3\/2)) assuming a is positive.\nAnswer: a**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*x + 22, 2*x + 17 = x + 4*i. Let o be (-11)\/5 + (-2)\/(-1). Sort o, 0.1, x in increasing order.\nAnswer: x, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1564 divide 466947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48089, 47302, 45989, 44150, 41785, 38894?\n\"Answer: -263*j**2 + 2*j + 48350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 13 = 5*q, 2*w + 5335*q - 5338*q + 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -34*u - 3686. Determine t(-106).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {c: 3, r: 5, i: 3, a: 9}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82163183 to the power of 1\/2, to the nearest integer?\nAnswer: 9064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/26 + (-12)\/(-78).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 5*w**2 + 5*w - 3. Let b(h) = -h**3 - 3*h**2 - 4*h - 3. Let a be b(-2). Calculate the lowest common multiple of v(-6) and (-1)\/3*(-9)\/a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -52\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*b - 526 = -5*t, 3*t + 23*b = 30*b - 12*b + 36 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 4038*m - 4052*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*t - 203 = -t, -t - 176 = -3*i. Let o be (16\/(-12))\/((-2)\/57). Calculate the highest common factor of o and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(42\/(-4)))\/(15\/105). Suppose -2*f - o*u = -120, -2*u + 5 = -3*u. What is the remainder when f is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8050)\/1764 - 2*(-2)\/14 and 85\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -1, 3, -69 in decreasing order.\nAnswer: 3, -1, -2, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -30. Let r be 99\/x*4\/(-5). Let n = r - 104\/15. Which is the smallest value? (a) n (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244560 + -1?\nAnswer: 244556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207783 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448 + 66*u**3 + 1345 - 452 - 445.\nAnswer: 66*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 8013.\nAnswer: 4006.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 2}. What is prob of sequence rr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/11 - 20*k**3\/11 - 16*k**2 - 256*k\/11 = 0. Calculate k.\nAnswer: -4, -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.17, -0.2, 0.1, 4, -0.1238?\nAnswer: -0.1238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 51995\nAnswer: 51994.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r - 16*r + 27*r = -193245. List the prime factors of r.\nAnswer: 13, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 81?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-378)*-61 + -2. Are l and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -27*c - 2. Is 16 a factor of h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -212*t**2 + 1102*t - 19. Determine v(5).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-4)*(-6 + 3). Let d(o) = -14*o**2 + 11*o + 6. Let h(k) = -k**2 + k + 1. Let a(x) = -d(x) + 5*h(x). What is the units digit of a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*g. Let d be 0*((-3)\/3 + g). Suppose d*s + 32 = s. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 19. Suppose 0 = a*b + 4*b - 6. Solve -2*k - 3*k - 35 = -5*w, w + k = -b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735151?\nAnswer: 11, 233, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16791500 is divided by 1844?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -1405, -3452, -7051, -12724, -20993, -32380, -47407?\nAnswer: -66596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-5 - (-9 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 408.38 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3315)\/1155 - (-25 - -21)) + -1*4\/(-28)\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**3\/3 - 9*b**2\/2 - 10*b - 10. Let s be n(10). Suppose -z + s = 2*w + 2, 4*z - 20 = -w. Solve -3*v + v + z = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-60) - (-163)\/15. Find the second derivative of -u*s - 125*s**3 + 99*s + 13*s wrt s.\nAnswer: -750*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 < 2729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168684 and 17880504?\nAnswer: 17880504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/7 - 19030\/(-385) - 14\/(-2). Solve 162 = -53*q + s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {f: 1, z: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 8, -t + 16 = t - 5*k. Factor -q + t + 5*q**2 + 8*q**2 - 3*q - 12*q**2.\nAnswer: (q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116991 greater than or equal to -116999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Let s = 0 + 0. Sort u, -3, s in decreasing order.\nAnswer: u, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -19?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k*k\/(k*k\/(k*k\/(k*k**3*k))))))\/k*k)\/((k\/(k*k*k**(1\/3)))\/k)*k*k**5*k\/k**(-1) assuming k is positive.\nAnswer: k**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256875.5 days to nanoseconds.\nAnswer: 22194043200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1363 = -5*g - 3*w, 0 = -0*g - 2*g - 4*w + 548. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -j - 5, -6 = j - 5. Suppose -4*k = -5*v + 2204, v - l*k = -0*k + 442. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -279 and -4884.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, -5, 95, -10, 3\/4.\nAnswer: -10, -5, 0.1, 3\/4, 1, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxxxokpekp. What is prob of sequence kkkx?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x - 45. Let u(c) = c + 2. Let n(f) = -j(f) - 4*u(f). Let v be n(-7). Let g be (-8)\/6*-2 + (v - 4). Sort -6, g, -2, 1\/2.\nAnswer: -6, -2, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Let u(d) = 2 + 2*d**o - 2 - 6*d**2. Let n(w) = -2*w. Give n(u(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 - 6 = 0. Let y(o) = 2917*o + 5. Let q be y(r). Suppose -2*u + 3*c = 3*u - 8744, -5*u = 3*c - q. Round u to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200146 (base 7) in base 5?\nAnswer: -2034242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*s**4 + 2*s + s**4 + 8*s**4 + 2*s**5 + s**2 + 1262 + 15*s**4 - 3*s wrt s?\nAnswer: 40*s**3 + 576*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -0.1, -6\/5, 5\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 12885 = 3*i - 4*r, i = -2*r + 4297. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -5*x**4\/24 - 22*x**2 + 45*x. Let d(n) = 170*n**2. Calculate d(c(y)).\nAnswer: 4250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3037304 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 350 + -5252\/15. What is the nearest to 3 in -1, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1 + -1*sqrt(363) + sqrt(363) - sqrt(363) - (-6*2*sqrt(24))\/sqrt(8))*-5 + 4)**2.\nAnswer: 10*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 4 + -5 + 1591. Suppose 0 = 4*o - o - r. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -68.3. Suppose -y + 55 = 58. What is the closest to 2 in 1\/7, y, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u**2 + 4*u - 19. Let i be z(7). Let l = i + -340. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -10, 14, 962\/7, 2\/3, 1, 0.1?\nAnswer: 962\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 123?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 70*t + 3735 = 0. What is the remainder when 341 is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = j - 20, -4*j + 9*j = -4*d + 70. Let o be ((-12)\/j)\/((-12)\/(-30)). Which is the closest to -1? (a) -2\/21 (b) -0.04 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/4 + 105*i**4\/2 - 4529*i**3\/4 - 20439*i**2\/2 - 6563*i + 17862 = 0. What is i?\nAnswer: -229, -6, -2, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 9) + 81 - 8?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/614 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, u: 1, l: 9}. Give prob of picking 2 l and 2 t.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.47*5069\nAnswer: -2382.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -166. Suppose -13*i + u = 4*i. Let l(p) = 8*p**2 - 9*p + 16. List the prime factors of l(i).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63735703 (base 8) to base 10.\nAnswer: 13614019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.09 - 0.09. Let t = m + -4.1. What is the second biggest value in t, -3, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20012001011 (base 3) to base 9\nAnswer: 205034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -6. Let n = 10 + j. Suppose 67 = n*i + 16. What is the remainder when 67 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s*v**3 - 2*s*v**2 + 215533*s*v + 126105*s wrt v.\nAnswer: -3*s*v**2 - 4*s*v + 215533*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58137*n**3*o**3 - 32*n**3*o**2 + 2*n - 8116*o**3 + 180 wrt n.\nAnswer: -348822*n*o**3 - 192*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78382533 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -569 - -1139\/2. What is the nearest to 0.1 in 1\/10, -0.4, 3\/4, p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5868*z = -1336 + 54148 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.8689 nanometers in millimeters?\nAnswer: 0.0003058689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, c: 3}. What is prob of picking 1 t and 3 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/830 and -37\/16?\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**3\/2 + t**2 + 19*t. What is b(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-63)\/252 + 309\/4*97 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1961.20063 rounded to the nearest integer?\nAnswer: -1961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/37 in 0.4, -0.4, -0.5, 1173, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1384411133 divided by 4529\nAnswer: 305677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -231 + 390. Suppose 3*t + 3*o = d, -2*t - 2*o = -3*o - 118. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -92*d**2 + 569 - 3*d - 224 + 91*d**2 + 13*d. Calculate the remainder when 242 is divided by h(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1359*s - 24 = -1383*s. Which is greater: s or 1\/321?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*12\/45*9\/12. Let a(m) = m + 1. Let f(h) = -2*h - 2. Give l*f(g) + 5*a(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1026216 - 2?\nAnswer: 1026214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 289216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -144*a + 12323. What is q(86)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -14704, 3, -1 in descending order.\nAnswer: 7, 3, -1, -14704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -61. Let d = -28 - b. Let a = 25.054 - d. Round a to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 11577?\nAnswer: -11576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1474856)\/(-168) - 26\/(-273) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2707 is divided by 254?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Suppose 4*l = 3*z + 1, -5 = -v*l - 2*z + z. Let h = -817.2 + 817. What is the nearest to l in h, 1, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/44 and 145\/(-12)*(-105)\/3850.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1024503 - 50207726.\nAnswer: -49183223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000092332 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4821493 and 216.62?\nAnswer: 217.1021493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*r - 0, -2*y - 3*r = 18. Which is the closest to -1\/9? (a) 2\/9 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/1 - (157\/1256 + 555\/(-24)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p**3 + p**2 + 6*p + 3. Let x(d) = 10*d**3 - d**2 - 9*d - 4. Let c(t) = 7*j(t) + 5*x(t). What is the tens digit of c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1725 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 4*r**2 + 5 + 3*r + 0*r - 3*r**3. Let m(t) = -4*t**3 - 4*t**2 + 6*t + 6. Let h(s) = -5*i(s) + 4*m(s). Let d be 4 + 0 + 11\/(-11). Determine h(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 3530 + 1854 = 0. Suppose i + 488 = 3*n. Is 386 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1549146420 to the nearest 100000.\nAnswer: 1549100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 5*n = 6*n. Which is greater: n or 1\/968?\nAnswer: 1\/968","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - -3.98. What is the third biggest value in 3\/2, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 23\/4, 2\/7.\nAnswer: 2\/7, 23\/4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/18*(-1 - (-44)\/8). Suppose o - 20 = -4*a, -4*o = 2*a - r*o - 12. What is the smallest common multiple of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from bqbkqbkbq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1095)\/(-555) - 130\/(-4810). Solve -4*x**g + 17\/2*x**3 - x**4 + 0 + 0*x = 0 for x.\nAnswer: 0, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 0*y - 640*y**3 + 4 - 3 - y. Let x be h(1). Is x\/(-35) + (-4)\/14 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**5\/2 + 23135*x**4\/2 - 26657075*x**3\/2 - 241442755*x**2\/2 - 201781900*x + 335820250 = 0.\nAnswer: -5, 1, 2318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**3 + 5*p + 2. Let y be (-2)\/(-4)*2 - -10. Let c(l) = -4 - 12*l - y*l**3 + l - 2*l**2 + 2*l**2. Calculate 4*c(d) + 9*n(d).\nAnswer: d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*f - 2*r, -4*f + 0*r = -r - 53. Let x = -9 + f. Factor -o - 8*o**3 - o + x - 14*o**2 + 20*o**3.\nAnswer: 2*(o - 1)*(2*o + 1)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/(373870\/436)*(-2)\/(-74).\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3628 divided by 2\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -1041.\nAnswer: -936.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -247*t + 424*t - 30*t + 2*t + t - 2*t + (-4*t + t + t)*(0 - 5 + 3) - 4 + t + 4 - t + 0*t + 2*t as x*t + n and give x.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y, 2*s - y - 2 = -7. Let x(t) be the second derivative of s*t**2 + 0 - 1\/6*t**3 - t + 1\/6*t**4. Find the second derivative of x(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.712396 - -4.\nAnswer: 27.712396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 13*m**2 + 5*m + 27. Let d be f(-13). Let g = d + 42. Suppose 3*q + w = q + 2759, 2*q + g*w = 2762. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 5:33 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 q, and 1 e when four letters picked without replacement from ieegirrrrirqsqr?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 840.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 416 and 48074.\nAnswer: 769184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) -2211 (b) -1\/24 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6734 + -111?\nAnswer: 6623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmu when four letters picked without replacement from {a: 1, m: 3, j: 3, u: 7}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1844, 0.5, -23.\nAnswer: -1844, -23, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)*-1)\/((sqrt(48)*-4)\/sqrt(8)) + -4.\nAnswer: -4 + 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3995013641 and -0.18.\nAnswer: -3995013641.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 1 = -8. What is the third smallest value in -2\/7, m, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14325\/35 - 14\/49?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8*r = a - 31, 5*a - r - 79 = 0. Let b be (56\/70)\/(6\/a + 0). Sort -6, 17, b in descending order.\nAnswer: 17, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5852, -37, -3 in descending order.\nAnswer: 5852, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 468437191 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6435.902mg?\nAnswer: 0.006435902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*w - 14, 15 - 3 = -3*w. Solve -g*a = -0 - 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 158.\nAnswer: -4, 5, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98597349 is divided by 658.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.61543 - 8608.\nAnswer: -8599.38457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 4*p - 530. Let a(f) = f**2 + 3. Give -a(d) + t(d).\nAnswer: -2*d**2 + 4*d - 533","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5040*d + 10214. Calculate i(-2).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(3 + 1 - 0)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 327432153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44e7c (base 16) to base 13\nAnswer: -9b606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28272029257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - b + 3, -3*b + 0 = 2*r - 9. Let k = -12 - -2. Let u be (12\/k)\/((-14)\/35). Solve r = -4*f + u + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -4 in decreasing order.\nAnswer: -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 362250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 110 + 116. Factor 0*u**4 - 4*u**2 + 7*u - 2*u**3 - 2*u**2 + k*u + 2*u**4 - 4.\nAnswer: 2*(u - 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 259990291*f - 68145352?\nAnswer: 259990291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-428 - 326 + 240)*((0 - x**4 + 0)*(-3 - 3 + 4) + x**4 + x**4 + 0*x**4) to the form b*x**3 + j*x + c + o*x**4 + r*x**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*3*sqrt(130) - sqrt(130)))\/(-2*sqrt(20)\/sqrt(2) - sqrt(160)*4).\nAnswer: -5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 165 + 1\/3*b**3 + 7*b - 11\/2*b**2. What is g(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115175261?\nAnswer: 31, 139, 26729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -445 - -441. Which is the nearest to 3? (a) -2\/7 (b) x (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/485317 and 22\/23821.\nAnswer: 40281311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 + -36 - 14) + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15881717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 0*h**2 - 3*h**4 + (-h + 5*h**3 + h)*(-h - 2*h + 0*h).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28051 - 84151\/3. Suppose 0*m + 5*m + 3*k = 0, -8 = -m + k. Let v be 1 - 1\/m - 1. What is the closest to j in 4, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -320.7021 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**5\/5 + 596*n**4\/5 - 24812*n**3\/5 + 243964*n**2\/5 + 2199696*n\/5 + 736848 = 0. Calculate n.\nAnswer: -3, 34, 35, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -231885 from 11958.3624.\nAnswer: 243843.3624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 1209147924.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*sqrt(704) - sqrt(704)) + -3 + 2)**2.\nAnswer: 160*sqrt(11) + 17604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -557*x**5 - 1199*x wrt x.\nAnswer: -11140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62 + 116725?\nAnswer: 116643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)\/b*b**(-11))\/(b**3\/b*b)**13 assuming b is positive.\nAnswer: b**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in 5, -0.5, 528?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 - 14*v + 7. Is r(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11)\/(-1))\/(2\/16). What is the highest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -o + 6, 4*m + 10 = -m. Find the third derivative of -3*h**2 - 2*h**2 + 6*h**o + 6*h**3 wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45939 - 45939 - 10*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5535, -5536, -5537, -5538, -5539?\nAnswer: -5540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 241836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 6*x**2 - 395*x + 8. Let u(m) = m**3 + 7*m**2 + 394*m - 9. What is -6*u(k) - 7*w(k)?\nAnswer: k**3 + 401*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 31, 41\/5, 9 in decreasing order.\nAnswer: 31, 9, 41\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2. Let r(u) = 10*u. What is c(r(g))?\nAnswer: 500*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83237 - -2e?\nAnswer: -83208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 2) + 2 - 679998. Round n to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110001000100110 (base 2) in base 7?\nAnswer: -525215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-9)*n)\/n)\/n**4)\/(n**5\/(n\/((n**(-17)*n)\/n*n)*n)) assuming n is positive.\nAnswer: n**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10606 - 10650 - (-1 + -116)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 44, -0.3, -7, -13, 5, 22.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33766\/5 + -6753. Suppose v - 3*j - 17 = 0, -j = 2*v + 3*v - 5. What is the nearest to -0.1 in v, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from lzlztztltzztmzt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 10*p - 31. Let z be v(13). Let h be (z - -5)*(2 + -1). Solve -2*q - 3*w = 6, -q + 0*q - 4*w = h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5626 = -101*b + 3780 - 2235. What is the remainder when b is divided by (1\/2)\/((-3)\/(-366))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172618 is divided by 99.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-60) + 94\/30. Let g(j) be the first derivative of j**4\/4 - j**3 - 3*j - 2. Give g(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51, 83, 125, 183, 263?\n\"Answer: s**3 - s**2 + 28*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 take away -0.11?\nAnswer: -67.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*q - 75 + 332, 0 = 3*q + t - 157. What is the greatest common factor of 106 and q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 146458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -53 - (1280 - 1252)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 289 = -3*m, -g = -0*g + 5. What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123640541.\nAnswer: 17, 643, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:45 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631\/4 less than or equal to 4\/4963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -v + 28. Suppose v*c = r + 1383, -c - r = r - 357. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.047, -1\/2, -1\/5287 in ascending order.\nAnswer: -1\/2, -0.047, -1\/5287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3949*l*y**3 - l*y**2 - 3*l*y + 10*l + 72*y**3 - 10*y**2 - 3*y - 5 wrt l.\nAnswer: 3949*y**3 - y**2 - 3*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.97 - -0.47. Let b = -5.574 - o. What is b rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23 (b) -72\/11 (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116025 by -23205.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 3*k**2 + 5*k - 8. What is t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + t**2 + 2*t**2)*(-10*t**3 - 3*t**2 - 14*t**3 + 28*t**3).\nAnswer: -8*t**5 + 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 8*u + 278. Give l(-24).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.92. Let n = f + -3.92. Let j = -7 - n. Which is the third smallest value? (a) 2\/7 (b) 3\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 14*t + 50. Let f(m) = 20*m + 75. Determine 5*f(g) - 7*j(g).\nAnswer: 2*g + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101111100000010111111 - 101010?\nAnswer: 1000101111100000010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 0)\/((-363)\/90 - -4). Calculate the highest common factor of 75 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*w**4 - 4985*w**3 - 161*w**2 + 3057*w - 2.\nAnswer: 696*w - 29910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**4 - 2*w**3 - 4. Suppose 0 = 2*u - 3*u - 2. Let x(h) = 4*h**4 + 5*h**3 + 9. Let f(y) = u*x(y) - 5*v(y). Differentiate f(s) with respect to s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 7*f - 4*f. Suppose -o + 3*o = 78. Let g = o + f. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 8*h - 4. Let q(y) = -y**2 - 9*y + 7. Let z be q(-10). Let m(w) = -w. Let b(l) = z*m(l) + a(l). Calculate b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 11. Let p be w(-5). Let d(s) be the first derivative of -s - 1 + 3\/2*s**2. What is d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 18 - 12. Suppose 5*q + 10 = 0, 3*z - 4*q = 4*z. Solve u*p = z + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 10. Suppose 5*s = -5*u + 5, -8 = -s + n*u - 3. Let z = s + 8. Calculate the smallest common multiple of 6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 3*w)*(-3*w - 5 + 5) + (-2*w - 2*w - 3*w)*(-w + 5 - 5) + 4*w**2 - 5*w**2 + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(168)\/(sqrt(12)\/sqrt(48)))\/(sqrt(6) + sqrt(6) + -1*sqrt(864) - (sqrt(96) - (sqrt(96) + sqrt(96) + sqrt(96) + (sqrt(96)*-1 - sqrt(96))))) + -3).\nAnswer: -18 - 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.43 - 2.47. What is the smallest value in w, 0, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1726349574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/28 - 114\/(-7). Calculate the greatest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**(-18)*f))*f)\/f)**13*f**(-10)\/(f**(-25)*f) assuming f is positive.\nAnswer: f**(-194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1569 + 1568. Which is smaller: t or 558?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152866 by 14.\nAnswer: 10919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**5\/20 - o**4\/6 - o**3\/2 + o**2\/2 - 50*o. Suppose -3*k + 5 = -2*l, 5*l + 1 = 3*k + l. Determine n(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/10)\/(2\/(-8)). Suppose -a = 3*h - 15, -10 = -0*h - 2*h - r*a. Let y = -112 + 115. Solve -l - h = -y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3201 (base 6) to base 4.\nAnswer: -23101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + u - 3*u - 16, -14 = -4*m + u. Suppose -m*q = 3*q - 30. Suppose -1 + q = -g. Sort 1, 3, g in decreasing order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3, -11650, 16.47 in increasing order.\nAnswer: -11650, 1\/2, 3, 16.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1617 (b) 3\/77 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 363\/(-161) + ((-7722)\/63)\/(-13) + -9. Which is bigger: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467590 take away 0.02?\nAnswer: -467590.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 635103?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from vvvvvbvvvvvb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*u - 23*u + 4. Let a be ((-20)\/25)\/((-4)\/10). What is the biggest value in 4, a, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3746)\/(-117999))\/(4\/(72\/(-5)))?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 29. Which is the closest to s? (a) -1\/3 (b) -3\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1479\/9996*-7*-7.\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -10, -6, -2?\n\"Answer: 4*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 620, 1564, 3638, 7406, 13432, 22280?\n\"Answer: 94*b**3 + b**2 + 283*b + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1252 divided by -4\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - (sqrt(50) - 4*sqrt(50)))*-5 + sqrt(50))\/(sqrt(10) + (-3*sqrt(120))\/sqrt(12)) + 5.\nAnswer: 5 + 19*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 35896397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000000 (base 2) to base 6.\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:38 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/416 and -59\/5.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08017 in -0.4, -99, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.81 - -11. Let g = -0.09 + o. Let t = -3\/35 - -111\/70. What is the third biggest value in g, 1\/7, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + 12 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/((-9)\/32))\/(4\/642)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7532849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2731 divided by -1.\nAnswer: -2731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1342135 - -22153?\nAnswer: -1315542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1156 + 2.8844. Let z be (3\/2)\/(2 + 1). What is the closest to z in 4\/7, 1\/5, k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44*i**3 - 392.\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.707 + -0.297. Do -2\/9 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 41041434111?\nAnswer: -41041434111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 585042 and 60031?\nAnswer: 101212266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Let k be -1*(0 + 2)*-2. Put k, b, 5 in decreasing order.\nAnswer: 5, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270447 divided by -3.\nAnswer: 90149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 10 = -o. Let q(f) = f**3 + 35*f**2 - 31*f + 180. Let b be q(-36). Put -5, o, b in increasing order.\nAnswer: -5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 27*o - 224 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2\/665 (c) -38\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 28*m - 66. Is 33 a factor of l(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 36.968*-0.23\nAnswer: -8.50264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.5 (b) -19 (c) -416 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495812 is divided by 747858?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005293 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1004024 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 1. Let k be 4\/22 + (-108)\/(-11). Suppose -3 + k = -7*z. What is u(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4330 - -4041. Which is smaller: a or -285?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 8*g - 6. Let y(s) = s**3 + 1. Let u be y(2). Let h be b(u). Is 6 a factor of 24 - (3 + 0 - h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -39 (b) 3 (c) -1 (d) -4.3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40738 or -40730?\nAnswer: -40738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 119*y**2 + 52*y + 51. Determine r(-1).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285240246?\nAnswer: 2, 3, 17, 347, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from qqwwww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = 2, 3*u + z - 661 = 0. Let x = -209 + u. What is the remainder when 45 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0125145 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*-1 + (73 + -35 - -821) a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*n - 7 = 0, 4*y + 3*n = 9*y - 13. What is the units digit of -1 - (2 - y - 43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2) - (-17 + 19 - (16 - 2))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2335\/14010*(-135)\/(-20)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 19*r + 46. Let i be q(-21). Which is the smallest value? (a) -17 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039804 rounded to 6 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 72091 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 34, -21, -77 in descending order.\nAnswer: 34, 1, -21, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 - 173. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 34 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4941, 39642, 134017, 317904, 621141, 1073566?\n\"Answer: 4973*r**3 - r**2 - 107*r + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 11. What is k(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24\/20*850\/17*14\/56\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-40)\/10)*(-6)\/(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 122, 280, 502, 788?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, r: 2, l: 2, s: 6}. Give prob of sequence lvsl.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjjjjqsjjjjjjs. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 1, 7, 4.\nAnswer: 0, 1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, 2, 0.4 in increasing order.\nAnswer: -1.9, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 278\/(-72) + (9 + -3 - 639\/108) and -36\/25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5286919, -10573804, -15860687, -21147568?\nAnswer: -26434447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*v - 188*v - 17464 = 0 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -8b939ba?\nAnswer: -8b939bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*z - 693, -2*z + 441 + 272 = -5*f. What is the common denominator of (9\/54)\/(11\/f) and 41\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 1\/2*b**2 + 0*b - 2. Let f(z) = 141*z + 153*z - 310*z. Calculate g(f(j)).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/4)*r**(-3\/5)*r\/r**(-1)*r*r*r\/(r*r**(-3)) assuming r is positive.\nAnswer: r**(133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 65. Suppose 5*b - 15 + l = 0, 2*m - 3*b - 227 = 0. List the prime factors of m.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -6, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 69*(3 + 40\/(-15)). Suppose 3*c + 6 = -w + j, -10 = -2*w. Solve 5*y - 10 = -3*i + 10, c*y = 3*i + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(99\/95))\/((-14)\/7518). Let q = 1550\/3 - v. What is the common denominator of -149\/66 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*j + 42*j - 209 + 210)*(-7*j**2 - 8*j**2 - 2*j**2).\nAnswer: -2346*j**3 - 17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 7 (b) -5 (c) 1\/5 (d) -2\/3 (e) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 31*n**2 + 2*n + 1. Let a be v(-1). Let u be (-5)\/a*8\/(-6). Factor 2\/9*l**3 + 0 + u*l - 4\/9*l**2.\nAnswer: 2*l*(l - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/5 + 42721*t\/10 - 42729\/10.\nAnswer: (t - 1)*(8*t + 42729)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -42 and -138826373.\nAnswer: -138826415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/(-50) + (-88)\/(-55). What is z in 2*z**5 - 1\/3*z**4 + 1\/3 + 0*z**2 - 10\/3*z**b + 4\/3*z = 0?\nAnswer: -1, -1\/2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*-6*(-2)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59930 + -1.\nAnswer: -59931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*k = -8, 11*k + 12 = 3*q + 9*k. Solve 0 = -7*t + 26 + q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58800 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 24. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffszgqfkzgsg. What is prob of sequence qk?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 378*u**3 - 753*u**2 + 372*u + 3.\nAnswer: 3*(u - 1)**2*(126*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 - 3*c**3 + 6 - 2*c**2 + 6*c**3 + c. Let d = -16 - -42. Calculate the remainder when v(-5) is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*p + 72*p - 4893 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90375 and 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202957901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 53?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3 + 19 = 3*u, -u + 8 = -2*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4\/3 - 686*v**3\/3 - 26900*v**2\/3 + 42376*v + 118800 = 0.\nAnswer: -297, -50, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2956*t**3 + 9*t**2 + 14*t - 5. Let h be d(-5). Suppose 20*c + 30*c = h. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 119 - 713 = 0. Suppose 5*p + 32 = a. Calculate the smallest common multiple of 42 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + -0.2. Suppose -3 = f - 8*d + 3*d, 5*d = 3*f + 9. Which is the nearest to 1? (a) f (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 57855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192604 is divided by 236?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581 is divided by 525.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 655.6495g in nanograms?\nAnswer: 655649500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 61, 253, 637, 1279, 2245, 3601, 5413?\nAnswer: 7747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -35473*k - 106426. Calculate z(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1729\/216 + -673\/72. Calculate the common denominator of 51\/28 and r.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o - 19*o + 12 = 0. Let u be (o\/(-8))\/(1\/16) - 3. Let p be (-13 - -17) + u\/((-2)\/(-243992)). What is p rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 5*y = -20, 5*p - 2*y - 37 = -29 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.2 (b) -2\/17 (c) -297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 37353350 divided by 11285\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000124146 to six dps.\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8487, 33975, 76449, 135903, 212331, 305727, 416085?\n\"Answer: -v**3 + 8499*v**2 - 2*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 75 = -3*t. Let y be -5*(6\/8)\/(45\/t). Let x(g) = -y + 3*g + 0 + 10 + 0. Give x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, u: 6, e: 1, m: 5}. What is prob of sequence ml?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2864082.\nAnswer: 2, 3, 13, 73, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*l - 21 = 0, l + 0 + 1 = 0. Let b be (-2)\/y - 468\/(-114). Suppose 79 = b*o + 3*g, -4*g - 20 = -2*o - 8. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129181?\nAnswer: 13, 19, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*(25 - 0\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -16. Suppose -l*q = -2*s - 2*q - 44, 2*s - 3*q = -36. Let z(p) = -p + 5. What is the tens digit of z(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 34*s**4 - 3*s**2 + 13*s + 5. Let i(u) = u**4 + u**2 - u - 1. Let w(t) = -3*i(t) - l(t). Find the second derivative of w(p) wrt p.\nAnswer: -444*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 55 = 2*n, -1470*n + 1469*n + 7*x + 86 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 l when three letters picked without replacement from xlslxihhhxhi?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5 - 11. Let x(d) = 5*d + 3. Let w be x(j). Let m = w - -15. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1520 + 0?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 2*c**4 - c**3 + (-3 - c + 3)*(c**3 + 4 - 4) - 2 + 2 - c**4)*(c + 1 - 1) - 2*c + 2*c + 11*c**5.\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t + 528 = 4*d, 6 = 2*t. Suppose -9*i = 6*i - d. Solve 15 = -6*a - i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 66 = -5*s. Let f be 13\/s - 8\/(-24). Is 1 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.06604 - 0.07704. Let o = v - -0.011. Which is the nearest to 2\/3? (a) 1 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477904 + 92232 = -97*f. What are the prime factors of f?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 18 - 3 = 0. What is the common denominator of 49\/8 and h\/(-12) - (-249)\/(-132)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 37136?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 3. Let o be g(-7). Suppose 4*l + 8 + 8 = 3*f, o*l = -2*f + 4. Suppose w + 24 = f*w. Solve -4*m = 4*y - 7*y - 20, -4*y - 4*m = w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -9) + (-4 - (3 + 10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x - x + 0*x)*(1 - 1 - x) - x**2 + 5*x**2 + 0*x**2)*(-5*x**3 + x - x + (-2*x**3 + 4 - 4)*(8 - 15 + 5)).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*v - 12, 4*n - v = 2*v + 16. Let r be 5*n*(3 - 0)\/3. What is the third derivative of -w**6 + r*w**2 - w**2 + 14*w**6 + 14*w**2 wrt w?\nAnswer: 1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(4\/96). What is z rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*w - 157*w + 175*w - 12460 = 54*w for w.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 + 0.86. Let t = -12.7 + r. Let o = t - -12. Which is bigger: -2\/9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 48 - 132. Let q(r) = 21*r + 110. What is the units digit of q(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24367782 times 0.02?\nAnswer: -487355.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31629 + -16718. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 905 and 769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -236 divided by -2\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 19*h**2 - 5*h - 16. What is r(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 160 + 79 = 0. Calculate the remainder when v is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5492 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: Let p = 59.3586 + 0.3414. Is -2 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-4) - -6 - (-2 + 3). Suppose 0*t - k*t + 585 = 2*c, 5*c = t + 1422. What are the prime factors of c?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 3*x. Let k be x\/(-6)*1*-12. Suppose -15 = -o - t, -k*o + t = -2*o - 24. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**10*p\/p**(-3))\/(p**21\/(p*(p*p*p*((p\/p**(-7\/2))\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/10 + 219\/15. Let f be ((-9)\/6 - 1)*k. Let q = f - -71. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*z**3 - 160*z**2 - 1780*z + 240 = 0. What is z?\nAnswer: -4, 2\/15, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.44558461 to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001100010 + 100101111?\nAnswer: -1110100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 507 + -507.3. Which is the smallest value? (a) -2\/23 (b) -10\/13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**3 + f**2 - 7*f + 10. Let u(v) = -v**3 + 2*v - 3. Let p(x) = -2*m(x) - 7*u(x). Let z be p(-1). Solve 2*a + 0*c + 9 = c, 3*a + 2*c + 17 = z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 6*l - l - 41, 5*b + 3*l - 55 = 0. Let p(m) = 28*m**3 + 0*m - 29*m**3 - m - 3 + b*m**2 - 3*m**2. Calculate p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*c = 2*c + 10, c = -4*p - 4. What is the common denominator of 95\/6 and (-1660)\/(-180) + p + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkbkbpbubkbukb. Give prob of sequence ku.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 - 12*j - 12. Suppose 0 = 7*w - 9 - 12. Let n(x) = 6*x**2 + 24*x + 24. Let c(t) = w*n(t) + 5*d(t). Solve c(o) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 815\/(-16) + (16\/104 - 4005\/18512)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 8. Give c(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 610*g**3 + 674*g**2 wrt g?\nAnswer: 3660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a9 - ba87?\nAnswer: -c152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-6)\/(-4) - 1). Let x = -5.491 + 5.591. What is the closest to h in -3\/8, 5, x?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126456812*o**2*q**2 + 4*o*q**2 - 1111240*q**2 - 1 wrt o?\nAnswer: 252913624*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, 3, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**4\/12 - 7*w**3\/3 + 8*w**2 - 2*w. Does 16 divide u(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108.8 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1695*o**3 + 6382 - 1697*o**3 - 6381 as q + m*o**3 + c*o + i*o**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z - 51*z + 35 = 0. Solve -4*m = -2*j - 20, m + 3 - z = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1. Let u(v) = v**2 - v - 7. Let a(i) = 21*t(i) - 3*u(i). Suppose -19*p + 7*p = -24. Let h(y) = 0*y + 4*y - y - p*y. Calculate a(h(o)).\nAnswer: -3*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -503 + 507. Suppose 2*l = 5*x - y, 3*l - 5 = -5*x + 7*x. Suppose -4*p + 0*p + 4 = 0. Solve 5*n - 17 = -x*a, -5*a - p = -n - n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1448.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063831286 rounded to 4 decimal places?\nAnswer: -0.0638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4 + 4*l**3\/3 - 17*l**2\/3 + 10*l\/3 = 0?\nAnswer: -10\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*o + 183*o - 567*o.\nAnswer: -238*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-12))\/(1\/(-9)). Let s = -47 - -62.2. Let h = -15 + s. Put q, h, 4 in decreasing order.\nAnswer: 4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/11880*-5034 - 14)*8\/(-3).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -51, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986493.\nAnswer: 3, 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 4*l**2 - 11*l - 10. Let q be z(9). Suppose q = 9*i - 7*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akdf when four letters picked without replacement from {t: 3, j: 5, k: 2, a: 5, d: 1, f: 4}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 67 = 125. What is the least common multiple of a and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {y: 5, i: 7}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a + 39 = 40*a. What is the greatest common divisor of a and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 1\/2 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -2 + sqrt(18)\/sqrt(9) - (sqrt(2) + (sqrt(2) + -1)**2)*-6) + -6*sqrt(10)\/sqrt(80) + 2)*-6.\nAnswer: -108 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (3 + -8 - -2). Suppose 7*t - 20 = b*t. Suppose 3*y = 7*y - 12. Solve 4 = -y*q - t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 32*m + 13*m**2 - 22*m**2 + 32 + 46 + 10*m**2. Calculate the smallest common multiple of 104 and y(-30).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c46 + -2?\nAnswer: c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5088511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15)*2920\/56*770\/(-110).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.28877 litres to millilitres.\nAnswer: 74288.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(1920\/(-50))*(-2)\/(20\/(-21))?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2723.1204224 - -0.2811.\nAnswer: -2722.8393224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*i = 114*i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**6*h*h**(2\/5)*h\/((h\/((h\/(h*h\/(h\/(h\/h**(-1))*h*h*h*h)))\/h*h*h))\/h*h*h*h)*h**0 assuming h is positive.\nAnswer: h**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Let x be o(-5). Suppose -x*r + 40 = -5*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -119, -173, -225, -275, -323, -369?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 2*b - 2*l - 3, -5*l - 28 = -23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21938 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083359981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/20)\/(1\/165)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11330 + -4?\nAnswer: -11334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*z - 28, 5*z = -7*r + 2*r - 110. Let g be 0 - -1 - (-27 - r). Suppose -g + 2 = -v. Solve -q - 12 = v*h, -2*h - 16 = -3*q + 2*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001010 (base 2) in base 8?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/(-57) - (-22)\/(-3). Let d(m) = -6*m**2 - 45*m - 11. Let i be d(w). Solve 14*x = 19*x + i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**3 - l**2 - 23*l + 32. List the prime factors of b(6).\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y + 37 = -3*r, -2*r - 48 = -5*y. Suppose 2*v - 12 - y = 0. 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 picking 2 s, 1 l, and 1 y when four letters picked without replacement from {g: 2, s: 1, l: 5, y: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - 2 + 2)*(-105 + 81 + 50).\nAnswer: -130*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-9))\/((-5)\/150*-10). Which is the fourth smallest value? (a) 4 (b) -2\/23 (c) -2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u = -3*m - 9, -u + 4*m = 6. Let c be u\/9 + (91\/21 - -5). Let h(q) = -3*q + 12. Calculate h(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 - 4. Let j = u - -0.1. Let k = -1.262 - j. What is k rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 10*t - 4. Suppose 6*a - 4*a - 114 = 0. What is the remainder when a is divided by r(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**3\/3 + 3*z**2\/2 - 36*z + 59. Let b be t(-9). Solve 5*d - b = 2*g, -10 = -5*d - g - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 44*d**2 + 35*d + 15. Calculate the remainder when v(-5) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a - 2 = 0. Let d(s) = 19*s**3 - 2*s**2 + 1. Let i be d(a). Suppose -5*q + i = q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414 divided by 207\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 6*m + 1. Let o be w(6). What is the lowest common multiple of (64\/2)\/(1 + o) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*r = -413*r - 268*r - 961 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueuxziuuzzz. Give prob of picking 1 u and 1 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -6. Let l = 15 - v. Which is smaller: l or 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.3 (c) -1\/6 (d) 2\/7 (e) 22 (f) -581\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25\/2 - 0)*(-112)\/10. Let v = 220 + x. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379.9487 litres to millilitres.\nAnswer: 379948.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 81123 = 81123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -172 + 3*x**2 - 106 - x**2 - 3*x**2 - 5*x. Let m(z) = -3. Let k(b) = -d(b) + 5*m(b). What is the first derivative of k(w) wrt w?\nAnswer: 2*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4723 - (2 - 1 - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 101?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 10) to base 3\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131\/434 + 1\/62. Put -1\/6, t, 1\/3, 4 in decreasing order.\nAnswer: 4, 1\/3, -1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4666?\nAnswer: 2, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1068 divided by 267.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 1. Which is the third smallest value? (a) -3 (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37440.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5463*q - 5700. Give t(1).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 248*v = -1245 + 8685 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3802 and -3.\nAnswer: -11406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r + 3*r**2 + 41*r + 8*r**2 - 10*r**2.\nAnswer: r**2 + 58*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 2. Let p be u(-4). Suppose p*t = -k + 4, -k + 7 - 3 = -t. Suppose v + a + t*a - 1 = 0, 10 = -2*v + a. Which is smaller: v or 1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/10*2*(104\/(-16) - -4). Let w(a) = a**3 - 5*a**2 - 7*a - 4. What is w(r)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 15 + 3 + (-1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/168512363?\nAnswer: 1\/168512363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16 = 0, 5*u = 4*f - 11 - 17. Suppose -3*x - f = 1. Let a(l) = -8*l. Let r be a(x). Calculate the highest common divisor of 80 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39155 is divided by 861?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**3\/3 + 3*a**2 - 5*a. Let g(z) = 3*z + 0*z - 6 - 2*z. Let y be g(0). Calculate t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, -0.3, -7, 2\/185, -3.5, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*q = 34, 5*h + 126 = 3*q + 127. Suppose p = 2*b - 11, 0*b + 16 = b - 4*p. Solve -h + b = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5291485299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 2*o**2 + 4*o + 17. Let i be c(-7). Suppose 240 = 5*y + 5*n, 5*y + n - i = -2. What is the greatest common factor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -2183?\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6 - 9 + 3*r**2 + r + 14 - 2*r**2 + 0*r**2. Let j(g) = 6*g**2 - 4*g + 3. Let m(y) = j(y) + 2*o(y). Give m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c + 4. Let b be f(1). Find the second derivative of -9*d - 30*d - 3*d**4 - 16*d + b*d wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9265 + 13463. List the prime factors of q.\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/27, -3, 3\/7?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*k = -550*k + 414*k + 1209*k + 199392 for k.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - t**2 + t**4 + t**4 + 4*t**4 - 4*t**4 + 5*t**4 + t**4 - 5*t**4 + (-2*t**3 - 3 + 3)*(-4*t + 2*t + 0*t) + 0*t**4 + 2*t**4 + 0*t**4.\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*a - 12 = 89*a, 5*n + a = 123042. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-20)*16\/40.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4495479 divided by 39783.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13786486.6*-3\nAnswer: 41359459.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (21 - 12)) + -1 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 211112002 (base 3) to base 15\nAnswer: 4ce8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15356 divided by 4.\nAnswer: 3839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1609, 6552, 14791, 26326?\nAnswer: 41157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 172, 248, 326, 406, 488, 572?\n\"Answer: v**2 + 73*v + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 228 - 132. Let t = w - 26. Calculate the greatest common divisor of 28 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 6*m**2 + 7. Let v be p(-6). Solve 3*t - 7 - v = -5*w, 4*t = w - 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4844*i**3 + 7*i + 877. Let c(q) = -4844*q**3 - 6*q - 877. Let a(f) = -7*c(f) - 6*u(f). What is the first derivative of a(k) wrt k?\nAnswer: 14532*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 443\/3, 4\/11, -6, 4?\nAnswer: 443\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 9*m - 22 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -348 + 538. Find the common denominator of -45\/34 and (-1)\/(-3) - q\/(-40).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 18 = -3*p. Let t be (14\/(-8))\/(-7)*4. Suppose 5*b + 10 = 5*n, 4*n + 19 = -3*b - t. Put b, 0, p in decreasing order.\nAnswer: 0, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*i - 296*i = -2*n - 17, 2*n = 5*i - 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 28546769?\nAnswer: -5\/28546769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjokozmnznom. Give prob of picking 1 z, 1 m, and 2 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79209 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+19381.41\nAnswer: 19381.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 2*h + 1. Let g be f(-2). Suppose -4*y = -g - 11. Suppose 0 = a - 3*v - 0*v - 38, y*v = 5*a - 179. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 1)*(1 - 2*v**2 - 1) + 0*v - 9*v**2 + 8*v**2 - 5*v + (3*v - v + v)*(v + 6*v - 3*v).\nAnswer: v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 643450?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7741 is divided by 3151?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from fnckkcconfkffkz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - -4 - 2*-2. Let s(i) be the second derivative of -3*i + 2*i**2 + 1\/6*i**f + 0 - i**3. Let s(m) = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 - 46*k - 3*k + 1.\nAnswer: -49*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2654*q + 395444. Give y(149).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**(-4\/9)))**33\/((t**(4\/17)*t)\/t)**42 assuming t is positive.\nAnswer: t**(-2935\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 14*m**3 - 3*m**2 + m + 3. Let b(w) = 42*w**3 - 11*w**2 + 4*w + 10. Let q(s) = -2*b(s) + 7*r(s). Give q(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/3*(-3)\/6. Find the common denominator of 11\/(-4)*9\/2 and 5\/w*(-378)\/(-150).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 608, 2472, 5578, 9926, 15516, 22348, 30422?\nAnswer: 39738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-3)\/((-12)\/(-8812)). What is v rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24, -28, -32?\n\"Answer: -4*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.7 (b) 2\/9 (c) 2\/15 (d) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-4)*(23 - (-1664)\/(-72))\/(-13 + 14)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 2*n + 2*n**3 - n**3 - 1. Let a = 6 - 8. What is the remainder when 5 is divided by p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25 + 11853.\nAnswer: 11853.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1007172 and 89\/19392.\nAnswer: 16114752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418071771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from dddkdckkkd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 886e (base 15) to base 7\nAnswer: 150161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 8. Let v be x(10). Let o be v\/2*(-1 - 3). What is the units digit of (-10)\/o - 2\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -59*p**2 + 28092*p + 24329. Calculate c(477).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + -4. Let k = d - -34. Let r(a) = -11*a**2 + a**2 + 6*a - k*a. Let l(n) = 3*n. Give r(l(j)).\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -3 + 0*t**2 - 13\/30*t**6 + 1\/20*t**5 + 0*t**3 - 15\/4*t**4 - 5*t. Find the third derivative of q(f) wrt f.\nAnswer: -312*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 23*q - 17*q. Let l = -32 + q. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1747, -420, 3197, 10250, 21885, 39248, 63485?\n\"Answer: 191*s**3 - s**2 - 7*s - 1930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least 25962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 1. Let l(z) = 6*z + 1. Let w(q) = -l(q) - 4*r(q). Let u be -2 + 1 + -4 + 2. Is w(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 2\/15, -0.5, -48?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*h + 10, 5*p + 0 = 4*h - 1. Let y = 4 + p. Suppose 38 = 5*j - y*j. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1095 - -533. Suppose k + 154 = 11*f. Suppose 2*y = 4*x + f - 2, 0 = 3*y - 4*x - 250. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3687618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Let t(b) be the second derivative of -46*b**4\/3 + 210*b. Calculate g(t(h)).\nAnswer: -368*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*s + 56 = -49*s. Suppose -3365 = -s*m - 1153. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -17 + 4 - 15*t - 7*t + 11*t + 9*t**2. Let y(g) = -4*g**2 + 5*g + 6. Give 3*o(x) + 7*y(x).\nAnswer: -x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(15\/(-50))\/((-3)\/(-5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 11352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -3. Let q be (l - -5)\/((-5)\/(-10)). Let s be (-34)\/9 + 0 + q. Sort s, 0.5, -3\/4 in descending order.\nAnswer: 0.5, s, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*i = 18858 - 15850 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8248\/7 - -1178. What is the smallest value in g, 3, -3\/424?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, -7, 9401, 3 in ascending order.\nAnswer: -7, 2, 3, 15, 9401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1725 + -1697. Calculate the highest common divisor of 1988 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a38 (base 12) to base 3\nAnswer: 100010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.1. Let w = 0 + c. Let t = 42 + -42.3. Sort t, -4, w in decreasing order.\nAnswer: w, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/6)\/(4\/8))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 430, 411, 374, 313, 222, 95?\n\"Answer: -d**3 - 3*d**2 - 3*d + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 9*y**2 + 11*y + 3. What is z(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 1. Let q be n(1). Suppose -3*f - 6 = -a - 0*f, -2*a + 32 = -f. Solve -a = -0*x + q*x + 3*k, -5*k + 10 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50.694 - 534175.\nAnswer: -534124.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 152 + 101 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-15)\/2)*-8. Let g be 546\/(-27) - 8\/k. Calculate the least common multiple of (2\/2)\/((-2)\/g) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 25 = 20*w. Let v(o) be the first derivative of 1\/10*o**w + 0*o - 2\/5*o**2 + 3 - 2\/15*o**3. Find y, given that v(y) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d + 50. What is the smallest common multiple of m(7) and 1*(3 + 0 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2719516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2732175.\nAnswer: 3, 5, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 18*h**2 + 68*h + 32. Determine k(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40730, 81626, 122654, 163820, 205130, 246590, 288206?\nAnswer: 329984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 0 + 0)*(-1 - 1 + 4 + (-8 + 8 - 13)*(10 + 3 - 4)*(-2 + 0 + 1)) as i*a + m and give i.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(231\/(-6))*(-98)\/28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621079?\nAnswer: 199, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*((4*x - x - 4*x)*(x - x**2 - x) - 2*x**3 + 5*x**2 - 5*x**2 + (3 - 3 + 2)*(-1 + 2*x**3 + 1)).\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12191407 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*h - 8, -4*z + 4*h = -13 - 3. Let k = -149 - -153. Suppose -2\/7*g**z + 8\/7*g**k + 2\/7*g + 0 - 8\/7*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = -2*g - 2, 0 = -3*g + 3. Let v be j\/(-24) - 5\/15. Let c(q) = -q - 6. Let p be c(-6). Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 4.95. Let y be 1*1\/4 - 1. Let w = 250.6 + -251. What is the third smallest value in y, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 t when four letters picked without replacement from mextxmtsextxs?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -739 bigger than -597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -137 divided by -6\nAnswer: 137\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y*y**(-2\/7))\/(y\/(y**0\/y*y*y)))\/((y*y**(-1)*y)\/y*y\/y**(2\/21)*y) assuming y is positive.\nAnswer: y**(38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 102*63\nAnswer: 6426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2830*i - 1 + 56*i**2 - 2830*i as r*i**2 + j + q*i and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 783, 1580, 2391, 3222, 4079, 4968, 5895?\n\"Answer: d**3 + d**2 + 787*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 + 208869*v**3 + 3634581396*v**2 - 32735674368*v - 130912616448 = 0. Calculate v.\nAnswer: -34816, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 - 100987*c**2 - 186 + 100981*c**2.\nAnswer: -6*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwb when three letters picked without replacement from {p: 1, f: 3, g: 4, w: 1, b: 7, k: 2}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 (base 12) in base 5?\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**7\/630 - u**6\/360 - 53*u**4\/12 + 4*u + 2. Let o(l) be the third derivative of m(l). What is y in o(y) = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 + -3.89. Let q = 0.1899912 + s. What is q rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - 0.6. Let y = 15 - 15.3. What is the smallest value in 4, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 564\/141*(-3)\/(-4). Let c(k) = 3*k - 6. Let l = 8 + -1. Let o be c(l). Solve 0 = s*u + o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3606 - 3586 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*((x - 2*x - x)*(0 - 4 + 3) + 3*x - 2*x + x).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = -4*r + p, -4 = -5*r + 4*p. Let w = 4.7 - 5. Let s(n) = -n**2 - n. Let g be s(0). What is the third smallest value in r, w, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*a**3 - 39*a**2 + 3.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 3*r**2 + 3*r. Let g be n(4). Let a(d) = -d**3 - 3*d**2 + 2*d - 4. Let v be a(g). Is 4 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 - 4*y**4 - 2*y - 2*y + 3*y**3 + y**4 - 3*y**3 + (6*y - 6 + 6)*(2*y**3 + y**2 - y**2) in the form j*y**2 + k*y + b*y**4 + w + s*y**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6) - 3\/(-2). Let c be 2*(3\/m)\/1. Sort 5, c, 0 in descending order.\nAnswer: 5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 3*z**2 - 5*z**2)*(z**2 - 2*z + 2*z) + 0*z**2 + 0*z**2 - 4*z**4 + (2*z**4 - 3*z**4 - z**4)*(-4 + 3 + 3).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddyddddddddydyddyd. What is prob of sequence ydyd?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1391, -1383, -1361, -1319, -1251?\n\"Answer: q**3 + q**2 - 2*q - 1391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143\/((-9152)\/67840)*(-15)\/150?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*(19 + 90\/(-126)). Let x = -196 - -323. Do x and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -8)\/((-2)\/6) + -1. Differentiate -1 + 39*f**m - 39*f**2 + 6*f**4 with respect to f.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 14, 6, -6, -22, -42, -66?\n\"Answer: -2*c**2 + 2*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 - -11. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - g - 2. What is the units digit of a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 12 - ((8 - -2) + 0) - (-121 - -31)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*(-70308)\/(-1674)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 165451807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11596.71 - 11597. Which is smaller: u or 1\/131?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485 + 461 = 3*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = 0, 2*k + 81 = 5*l - 95. What is the remainder when 140 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534.567 micrometers to meters.\nAnswer: 0.000534567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 43.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -b5 (base 12) to base 6\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/40*29*5. Suppose -3*u + o*s = 25*s - 96, -s = -2*u + 59. Calculate the greatest common factor of 20 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u. Suppose u - 5 = -5*t. Suppose 3*x = -7 + t. Is x smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 37*s + 41*s = -11, 5*c - 2*s + 17 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*t - 30. Calculate the smallest common multiple of t and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2220 + -33201?\nAnswer: -30321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20)*4)\/(113\/(-565))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 1 + 1 + 2. Suppose 0 = 7*b - 3*b + 8. Determine f(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 559, 22, -9 in decreasing order.\nAnswer: 559, 22, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/5)\/(19\/(-95)). Suppose -576 = -t*s - 0*s. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4599 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28 * 5496\nAnswer: 153888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5950 divided by 1190\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 248*p - 27. Let h(r) = 37*r - 4. Let k(z) = 20*h(z) - 3*t(z). Determine k(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 595, 1155, 1707, 2245, 2763, 3255?\n\"Answer: -h**3 + 2*h**2 + 561*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*y + 5137 = 1633. Calculate the greatest common divisor of y and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 24*j**2 - 28*j + 27. What is p(25)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 11 = 3*a + 5*x, 26 = a - 4*x. Let l(b) = -3*b + 9. Let z be l(6). Let k = z + 13. Solve 2*u - k*u + a = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 0*h + 6 + 2*h**2 - 6*h - 4*h**2 + 4*h**3. Let n be q(5). What is the units digit of n\/15 + 6\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/10, -0.2, 0.5.\nAnswer: -0.2, -0.1, 3\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 34. Calculate the smallest common multiple of 8 and r(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*(-92)\/(-46)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (7 - (-8 + 15) - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 5 = k. Let b be 1\/(-2)*k*-4. Put b, -3, 3 in ascending order.\nAnswer: -3, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -5\/2, 0.3, 0.653?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5 + 5*f + 14 + (-f + 2*f - 3*f)*(-1 + 3 + 0) - 2*f - 4*f - 2*f)*(-5 - 15*f + 6 - 2) + 0*f**2 + 2*f**2 + 0*f**2.\nAnswer: 107*f**2 - 8*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.041366 to one dp.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10631 - 10515. What is the highest common factor of d and 12412?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.74 - 3.94. Which is the fourth biggest value? (a) u (b) -2 (c) 3 (d) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 60, 81, 90, 81?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3486, -19, 2, -1, -5, -4 in ascending order.\nAnswer: -3486, -19, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -15*w - 4. Let h = -16 - -25. Let d(v) = 0*v - 19 + h*v + 21 - 2*v. Calculate 13*d(p) + 6*z(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - 20*x. Let n(i) be the second derivative of i**3\/6 - 28*i. Calculate n(y(c)).\nAnswer: 3*c**2 - 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (-54)\/((-36)\/6)*(3 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + -7.03. Let m = s + 6.6. Which is the closest to 0? (a) m (b) 3\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phvti. Give prob of sequence it.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/2*(11\/7 + 4\/28). Let u(x) be the first derivative of 6*x + 1\/2*x**2 + 2\/3*x**3 - n. Let o(b) = 2*b**2 + b + 7. Calculate -5*o(s) + 6*u(s).\nAnswer: 2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*(2*sqrt(228) + sqrt(228)))\/((sqrt(48) - sqrt(12))*-3))**2 + -3 + 5 + (sqrt(76)*2*4 - sqrt(76))**2.\nAnswer: 3650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 262*v + 225 + 90*v - 225.\nAnswer: -2*v**2 - 172*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17441, 49087, 80733, 112379?\n\"Answer: 31646*c - 14205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - -123. What are the prime factors of o\/12 + (-1)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-20) - ((-17)\/420 + (-1827)\/1044)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100101000101 (base 2) to base 9\nAnswer: 3226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2. Let b(f) = f - 250. Calculate h(b(z)).\nAnswer: z**2 - 500*z + 62500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 10.1, -0.40067, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b**6 + 0*b**4 - 1\/105*b**7 + 0 + 2\/3*b**3 + 0*b + 0*b**5 - 3*b**2. What is the first derivative of n(m) wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 - 6*p + 6*p)*(0 + 8 + 4 + (-1 + 2 + 1)*(-2 + 1 - 1)) to n + b*p**2 + f*p and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 64. Suppose m*c - 2 - 10 = 0. Suppose 7*p - 2*p = 4*g + 16, -5*g = 5*p - 25. Solve -3*n + c = -p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2*y - 12, -y - 5 + 7 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 43*l. Solve 5*d - 11 = 3*t, l = 2*d + 3*d - 5*t - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2119209814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*f + 402 = 0, 0 = h + 3*h + 2*f - 320. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 20\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from xicdmcy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10998 - 10965.4. What is the second smallest value in -0.3, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 9*p**2 - 6 - 8 + 15 - 25*p**3 - 19*p**3 in the form i*p**2 + u*p + n*p**3 + o and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1857.0071*2\nAnswer: 3714.0142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 + 19*a**2 - 40*a - 222. Let x be j(-6). Solve x = 4*h + 62 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3164394 - -59582677.3164394. Let q = 59582670.99999995 - a. Let l = 6 + q. What is l rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 6*d**2 + 6*d - 7. Let u be h(-5). Let n be 3 - (u\/27 - -3). Find i, given that -n + 2\/3*i - 2\/9*i**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) 3\/5 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1031 - -21643\/21. Calculate the common denominator of ((-2)\/40)\/(12 + (-1033)\/86) and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 114 = 16*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 10:29 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1*(-3 - 68\/(-24))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 40, -v + 7*u - 36*u = -27*u - 16 - 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}