diff --git "a/data/dm_maths/full_data_1/157_11255.jsonl" "b/data/dm_maths/full_data_1/157_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/157_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 1735961449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c**5\/13 + 96*c**4\/13 - 1558*c**3\/13 - 20324*c**2\/13 - 55080*c\/13 - 2800 = 0. Calculate c.\nAnswer: -10, -13\/5, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 + 112*n\/9 - 610\/9.\nAnswer: 2*(n - 5)*(n + 61)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3618, -3618, -3612, -3594, -3558, -3498?\n\"Answer: n**3 - 3*n**2 + 2*n - 3618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54584111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -209978 greater than or equal to -210027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v**3 + 629538*v**2 - 755458*v + 125910 = 0.\nAnswer: -62955, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = -7*q + 300. What is the remainder when 215 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/10)\/9*(-2)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 9*o + 1. Let c be m(-4). Suppose c*n + 3 = 2*n. Is -3\/131 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 2*q**2 + 4*q + 3. What is d(-4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 24, 233*u - 74*u - 27 = 80*u + 76*u - 3*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {c: 1, r: 1, l: 2, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12680001)\/2 + 1 + 1\/(-2). Round p to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*m + 381 - 381)*(0*m + 3*m + 0*m + (-1 + 5 - 2)*(1 + m - 1)) in the form z*m**2 + n*m + y and give z.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32167692?\nAnswer: 2, 3, 101, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4824, -19285, -43380, -77103, -120448, -173409?\n\"Answer: f**3 - 4823*f**2 + f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -6*i - 14*i - 3*i**2 - 12 + 8*i = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 118\/4)\/((-375)\/10).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f + 2*f)*((1 - f - 1)*(-3 + 2*f + 3) - 5*f**2 - f**2 + 4*f**2).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/3 - 9550*p**2\/3 + 54633*p + 4018140 = 0.\nAnswer: -9567, -28, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*m - m, -2*m + 21 = 5*z. Suppose -z*x + 8 = 3. Let i = -2 + 1. Put i, x, 4 in increasing order.\nAnswer: i, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*o + 3*r + 18 = -698*o, 3*o + 14 = -5*r for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2 - (-1 + sqrt(13)*1) - (0 + sqrt(65)\/sqrt(5) - ((sqrt(52)\/sqrt(4) - sqrt(13)) + 4 - sqrt(13) - sqrt(13))**2)) + 1.\nAnswer: -24*sqrt(13) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -88 and 0.0359.\nAnswer: -87.9641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Suppose -5*n = -2*y - 12, 3 = 2*y - n - c. Let o = 0 + 2. Solve -5*u + y*w + 5 = 0, -o*u + 2 + 0 = w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (sqrt(567) - (1 + sqrt(567) + 3 + sqrt(567))**2) + 1 + (sqrt(567) - sqrt(567)*3) + 2 + -2.\nAnswer: -2279 - 153*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 5*h**2 - 7*h - 4. Let w = -3 - -9. Let i be (-4)\/(3 + 1)*w. Calculate r(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -2116, -1\/7 in ascending order.\nAnswer: -2116, -4, -1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10170*h + 10018*h + 5320 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + 1 + -31 - (181 + -268 + 80)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**2*s**3 - h**2*s**2 - 50*h**2 + 761*h*s**3 - 1683*s**3 - 2123*s wrt s?\nAnswer: 6*h**2 + 4566*h - 10098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/14*(-2812502)\/(-462) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2 + 116494*c - 1630524 = 0. What is c?\nAnswer: 14, 58233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 + (41 - 71 - -11) + 3 - 124?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 18 = -6. Let r be (-10)\/o*(-2)\/(-10)*-42. Let h be (41 - -1) + 0\/3. Calculate the highest common divisor of r and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*f = -5, -m - 50*f + 7 = -49*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 118. Let m(s) be the first derivative of -310 + x*s**3 + 331 + 5*s**3. Let k(i) = 2*i. Calculate k(m(p)).\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65334 is divided by 10883?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1421*g + 710*g + 708*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3564)*-1)\/(1*sqrt(144)))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Let y be h(5). Let r = y + 7. Is 9 a factor of 0 - r\/(1\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7484 - 5712. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 514082, 513316, 512550?\nAnswer: 511784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38931842, 77863683, 116795522, 155727359?\nAnswer: 194659194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 - 2 = 0, -5*l + 23 = -z. Suppose 0*m - l*m = -32. Let g be 118\/15 + (-4)\/(-30). Calculate the highest common factor of m and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 9:10 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*u**2 + 5 + 165*u**2 - 5 + 157*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 5*u**2 + u - 6. Let t be b(5). Let a(v) = -2 + 2 - 7*v + 48*v**2 + 6*v. What is the remainder when a(t) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56*-368\nAnswer: 20608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -327 + 330. What is the closest to -0.1 in j, 0.3, -2\/21, -1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31789791 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -332074 + 334?\nAnswer: -331540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 42 + 32*h + 37*h in the form t*h + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355260 (base 7) to base 10.\nAnswer: -64281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p - 1. Let o(t) = 92*t**3 - 46*t - 46. What is -46*k(y) + o(y)?\nAnswer: 46*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-387804)\/(-187) + 12\/66. Round h to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140.6 + 141.6. Which is the nearest to -2\/7? (a) x (b) -2 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20\/21 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833728 is divided by 8826?\nAnswer: 4084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 + -eb612?\nAnswer: -eb5de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 divided by 17?\nAnswer: -232\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.83 rounded to zero dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let a be (-1 - 0)*y\/1. Solve -4 = -2*t - a*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6680.9971055 + 6681. What is o rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -2\/11, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -256 (base 7) to base 6.\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8186212, -8186214, -8186216, -8186218?\n\"Answer: -2*a - 8186210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -338 - -412. Suppose z = v + 153, 159 = z + 3*v + 2*v. Calculate the remainder when w is divided by (1\/(-2))\/((-7)\/z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23983961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -128*s + 14. What is d(1)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 5*n. Let m(b) = -b**2. Determine a(f) - 6*m(f).\nAnswer: 4*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 7259?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z + 236. Suppose 8784 = 26*j - 394. Let h = j + z. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73d + -2403d?\nAnswer: -23700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -360 or 1?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, r: 2, x: 4}. What is prob of sequence xxur?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z**2 + 5*z**2 - 2*z**2)*(0 + 0 + 1) - 26*z**2 + 63 - 37 - 27 to the form f*z**2 + b*z + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/5 - 10\/25. Let z be ((-24)\/14 - (-6)\/(-2)) + i. Which is the closest to -1\/2? (a) z (b) 132 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 647 - 11653. What are the prime factors of r\/8 - 2\/(-24)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/8517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 3*l - 5. Let b = 2 - l. Suppose -5*s - 18 - 11 = -b*q, 2*s - 69 = -5*q. Calculate the remainder when 36 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + 3*c**3 + c**3 + 2*c**2 + 3 - 1 + c**4 - 8*c**3 to n + h*c**3 + w*c + x*c**4 + p*c**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p + 282. What are the prime factors of w(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 527? (a) -2 (b) -5 (c) 0.3 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8583 + 12885 + 16120)*(2*t - 3*t + 0*t) to r + x*t and give x.\nAnswer: -20422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus 3461876.2?\nAnswer: -3461883.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 269*b**3*c**2 + b**3 - 7*b**2 - 19*b*c**2 + 96*c wrt c?\nAnswer: 538*b**3 - 38*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, p: 12, n: 3, k: 1}. Give prob of picking 1 n and 2 z.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169962216 to the nearest integer?\nAnswer: 13037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let f be ((-85)\/34)\/(6\/12). Let u(k) = -3*k + 8. Calculate f*i(m) - u(m).\nAnswer: -2*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297307.\nAnswer: 11, 117937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4, 3.5, -0.2.\nAnswer: -1\/2, -0.2, 3.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -13017*b**2 - 44*b - 27. Let g = 39 + -20. Let i be s(g). What is i rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486483*h - 973704*h + 486900*h.\nAnswer: -321*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2 - (5 + -7). Solve 4*y + 1 = -s + 12, 0 = z*s - 4*y + 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 10 - 3 + 133664*z + 2.\nAnswer: 133664*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5957)\/(-1998) - (4\/1 - 1). Suppose -3*s = 6 - 3. Are l and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47*106.5\nAnswer: -5005.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*v - 19, 5*j - 20 = 3*v + 2*v. Suppose -5*a + 5 - 9 = j*t, 3*t - 3*a - 12 = 0. Calculate the lowest common multiple of 348 and t.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 >= 373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.041 in 1, -0.11, -1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24466616?\nAnswer: 2, 79, 38713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 - -132. Calculate the common denominator of -61\/20 and (9\/(-2) - 0)\/((-6)\/q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h + 20 + 7 + 0*h - 48 - h**3 - 6*h**2. Let j be x(-11). What is the hundreds digit of j\/8*(-20)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n**2 + 4*n - 3. Let z be q(1). Does 28 divide (z\/(-10))\/((-8)\/980)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-12)\/(-45)*1*(-480)\/512\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**5 - f**5 + 0*f**5)*(-1 - 2 + 2)*(-8 - 7 + 0 - 4 + 1 + 5 + (1 + 1 + 0)*(0 - 5 + 3) + 0 + 0 + 1 - 2 + 2 + 2 + (-4 + 5 - 2)*(1 - 5 + 3)).\nAnswer: 13*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 0 = 3*r + 4*z + 5, 82*z - 83*z - 64 = -15*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2659 + -2906. Are b and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1343 - 1076. What is the remainder when r is divided by 83?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 2*c - 2000. Calculate the remainder when c is divided by 81.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16990509?\nAnswer: 3, 5663503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 2)*(-14*u - 727 + 727) + 71*u - 124*u - 113*u to m + c*u and give c.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*v**2 + 0)*(-9*v + 4 - 4) + (3*v - 3*v + v)*(2*v**2 + 4*v**2 - 5*v**2).\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4319, -8640, -12961, -17282, -21603, -25924?\n\"Answer: -4321*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76224079*w - 398480 wrt w?\nAnswer: -76224079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -315634553\/4 > -78908637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**4\/4 - 16*j**3\/3 + 5*j**2\/2 + 5. List the prime factors of m(16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(-2*sqrt(175) + sqrt(175) - sqrt(175)) + 4 + -2*(sqrt(28)*-2 + sqrt(7) - sqrt(7) - (sqrt(1008) + -1)))**2.\nAnswer: 36*sqrt(7) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/30 and -59\/5350?\nAnswer: 16050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0772 + 0.1772. Sort m, 92, 3 in descending order.\nAnswer: 92, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d - 5. Let f(i) = -4*i**3 - 2*i**2 - 2*i - 1. Let s be f(d). Let r be (12\/10)\/(2\/5). Solve -4*x - 19 = s*k, -r*x + 3*k = -2*k + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 440243, 440149, 439993, 439775, 439495, 439153?\nAnswer: 438749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-550)\/770*77\/(-1265)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2594525 - -2594524.7799958. Let z = 0.22 + u. Round z to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.688346 + 0.061686. Let t = -0.75 + c. Round t to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30037941403075 and 0.01.\nAnswer: 30037941403075.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 5*u - 1 + 5. Is h(7) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38382669?\nAnswer: 3, 13, 251, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzxfzfzfzdzfzdzz. Give prob of sequence fzdz.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292653 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4320) - sqrt(4320)*1) + sqrt(30))\/(sqrt(10) + (-1*sqrt(10)*-1 - sqrt(10))) - (6*sqrt(75) - ((4 + sqrt(3))*-3)**2).\nAnswer: 43*sqrt(3) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -548?\nAnswer: 219.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1586*i + 50*i**2 - 1583*i - 1579*i - 1594*i + 6342*i.\nAnswer: 50*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1272170 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 38*v**2 + 11. Let c(i) be the second derivative of -13*i**4\/12 - 2*i**2 + 629*i. What is -17*c(k) - 6*u(k)?\nAnswer: -7*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1) + 2 + 1. Suppose 5*s = s, 0 = 4*x - g*s - 220. Let v(y) = 3*y + 1. Let l be v(7). What is the greatest common divisor of l and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w**3\/w)*(w**(-3\/4)\/w*w)\/w*(w\/w**2)**19 assuming w is positive.\nAnswer: w**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129984471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -161087 (base 9) to base 5\nAnswer: -11133343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 56\/17, -2, -3, -474?\nAnswer: -474","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3219 * 0.07\nAnswer: -225.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**7*a)*a*a**(-1\/2)*(a\/(a*a\/(a*a**(-2\/9)))*a)**(-24) assuming a is positive.\nAnswer: a**(-157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508, 914, 1320, 1726, 2132?\nAnswer: 2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -3, 6, 290, -24, 36 in decreasing order.\nAnswer: 290, 36, 6, 3, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y - 5*y)*(2 - 2*y**2 - 2) - 1 - 3*y**3 + 9*y - 60000*y**2 + 60000*y**2.\nAnswer: 13*y**3 + 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-2*1 + sqrt(117)*-1.\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/300 - 217*f**4\/60 + 436*f**3\/15 - 1994*f**2. Factor y(a).\nAnswer: -(a - 2)*(a + 436)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249811, 249814, 249823, 249844, 249883, 249946, 250039, 250168?\nAnswer: 250339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5566.009 minutes in nanoseconds?\nAnswer: 333960540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -155*t - 64*t + 185 - 95*t + 143*t wrt t?\nAnswer: -171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 3*o + 3*o + (o - 2 + 2)*(-6*o + 2*o - o) + 4*o**2 - 3*o**2 + o**2 + (3*o - o + 0*o)*(-o + 0*o + 2*o) in the form a*o**2 + x + l*o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4212 + 242?\nAnswer: -3530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebezmmdbgbbbd. Give prob of picking 1 d and 1 e.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y + 6*y)*(-2 + 2 - 2*y) + 6213*y - 12424*y + 6207*y + 110*y**2 - 1.\nAnswer: 108*y**2 - 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -494, 1\/4, -3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28903 + 33247. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 349*v - 3. Let h(x) = -27*x. Calculate -2*h(w) - i(w).\nAnswer: -295*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*j + 4099 = 134*j - 8510 + 2109 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + 14. Suppose 0 = -5*o - 3*h + x, 0 = 5*h - 3*h - 4. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01008448242085 - 0.01?\nAnswer: -0.02008448242085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:00 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5933644 or 5933649?\nAnswer: 5933649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-9) - 0)\/(8\/(-24)). Suppose -p = -3*s + 1. Let i(j) = s - j + 10*j**2 - 8*j**2 + 0 - 2*j. Calculate i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*d = -6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c95 (base 16) to base 15.\nAnswer: -96b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2 + 5*z + 4 - 2*z**3 - z**2 + 4*z**3 - 4. What is the units digit of f(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f. Suppose 3*p - 6*o + 3*o = 6, 0 = -4*o + 20. Let b(x) = 4*x - 7. Let s(t) = -68*t + 135*t - 5 - 64*t. Let k(v) = p*s(v) - 5*b(v). Give k(i(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-48) - (-3)\/((-18)\/4). Suppose o = -8*s + 200 + 232. What is the highest common factor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.5. Let x = -9 + 21. Let w = 17 - x. What is the closest to -1\/4 in -5, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-7) - 4)\/(-1). Which is the closest to k? (a) 3\/5 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -0.37 (c) -29 (d) 4\/11 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -3\/2 (b) -0.3 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25372 + 372?\nAnswer: -25000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8755 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*d = -2265*d - 94486 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 7*i + 12. Let n(t) = t**2 - 8*t + 13. Let j(a) = -6*n(a) + 7*u(a). Give j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r. Let z(k) = -71*k**2. Determine z(n(b)).\nAnswer: -1136*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 736218 divided by 736218?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 17*k + 17*k. Let q(i) = i - 180. What is q(h(n))?\nAnswer: -2*n - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 6\/11 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-14637)\/(-1722))\/(4\/8)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1916 + (-1 - 0) + -3. Let s = 96003\/50 + g. Is s bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0 + 4, 4*b + 4*r = 3780. Let o(z) = z - 642. Let q be o(0). Let s = b + q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 0.7, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 100728882\nAnswer: 1\/50364441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(-1*sqrt(637) + -3) + 5*sqrt(143)\/(sqrt(550)\/sqrt(2)).\nAnswer: 17 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/((-128)\/(-12)))\/((-51337)\/157960)\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 11*l**2 + 13*l + 26. Is 12 a factor of k(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2444 (base 5) to base 13.\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/128)\/(15\/(-160)). Solve 0 = -m*o - l - 9, -4*l + 9 = 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, q: 4, j: 1, u: 3}. Give prob of picking 2 q and 1 b.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2632 + -74?\nAnswer: -2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/245 and -66\/235585.\nAnswer: 1649095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35143478 + 5?\nAnswer: -35143473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - d - 25. Let v be g(6). Is (v + -6)*(-708 - -2)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5986.969 decades in years?\nAnswer: 59869.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -88231 divided by 143\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 2*q**2 - 2*q - 2. Let z be m(-2). Let x be (7 - (-17)\/(-2))*2. Sort -5, x, z in descending order.\nAnswer: z, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16403 + 32502?\nAnswer: 13066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Let b be 1*14\/(-4)*c. Let g = b + 18. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5) - 16446\/105. Let n = f + 157. Let z = -2 + 5. Which is the second biggest value? (a) n (b) z (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 x when four letters picked without replacement from xzxjxjzxxxxxzzzxz.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 179.98 times 11\nAnswer: 1979.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, -52, -13634, -3 in ascending order.\nAnswer: -13634, -52, -9, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4)*r)\/r**(-2\/9)*r**(3\/4)*r**9 assuming r is positive.\nAnswer: r**(287\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**0))\/l*l*l**(-2\/25)*l)\/(((l*l\/((l**2\/l*l)\/l)*l)\/l*l)\/l)**(-25))**(-30) assuming l is positive.\nAnswer: l**(-3888\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (9 - (1 - -10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, m: 1, n: 3, b: 6, l: 3}. What is prob of picking 1 m and 2 b?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + c. Suppose 0 = 2*h - c*h. Let j be -1*(-3 - h) + 12. Solve m + j = -3*d, 4*d + m + 2 + 18 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348150894 by 93.\nAnswer: -3743558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541747 = 8*k - 27*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 2*j**2 - 2*j + 1. Let z(t) = 63*t**3 - 5*t**2 - 10*t + 5. Give -5*d(c) + z(c).\nAnswer: 58*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13670*f + 131*f**2 + 13670*f + 79*f**2.\nAnswer: 210*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44294, -88584, -132870, -177152, -221430, -265704, -309974?\nAnswer: -354240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636409.\nAnswer: 7, 519487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/125443 (b) 0.09 (c) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6768*d - 3896655 + 3896655 to n*d + v and give n.\nAnswer: -6768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let l(c) = 64*c**2 + 2*c + 2579. Determine l(z(v)).\nAnswer: 64*v**4 + 2*v**2 + 2579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 65 = 4*q, -q = -3*q + a + 31. Suppose q = -g - 0*g. Is (1 + g)\/(0 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109821884?\nAnswer: 2, 27455471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 286*o + 13053.\nAnswer: (o - 229)*(o - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643639 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2181101 or 2181156?\nAnswer: 2181101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1134025002?\nAnswer: -1134025002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 46\/9 (b) -6 (c) 64 (d) -4 (e) 4 (f) -2\/9 (g) -6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 3960 = 13*k + 81*k. Calculate the greatest common factor of k and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((25 - 9) + -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5 = 4*g. Suppose 0*j - 6 = 2*j, g*k = 4*j + 22. Suppose k*n - x = 19, 3*n + 3*x = 4*x + 26. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 7*n + 70. Let m be k(6). Which is smaller: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 61340.841, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v. Let q(c) = -1. Let f(n) = 4*n - 6. Let d(l) = f(l) - q(l). Let y(s) = 6*s - 8. Let u(i) = 8*d(i) - 5*y(i). Give u(h(a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33617.46 and 2.8.\nAnswer: -33614.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 0*j**2 - 21 + 5.\nAnswer: -j**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + ((sqrt(187) + (-5*sqrt(187)*-2 - sqrt(187)) + sqrt(187) + sqrt(187))\/(sqrt(11) + sqrt(396)) + -1)**2).\nAnswer: -72*sqrt(17)\/7 + 8226\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -14*f - 60. Let u(i) = -11*i - 48. Let l(j) = -5*u(j) + 4*v(j). Let n(p) = -2 + 12*p**2 + 5 - p**2. Give l(n(b)).\nAnswer: -11*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23450 is divided by 1172.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/19)*(z\/(((z\/((z**2\/z)\/z))\/z)\/z*z))\/z)\/(z*z**(2\/5)*z**6) assuming z is positive.\nAnswer: z**(-693\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oss when three letters picked without replacement from {o: 7, s: 3}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -s - 4*h, -27*s = -29*s + h - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c = 99*c - 2636904. Round c to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*r + 470 = 0, -3*p - r + 1918 = p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*f**3 + 746*f**2 - 6 - 1229*f**2 + 477*f**2 + 2*f + (-f + 2*f - 3*f)*(f**2 + 0 + 0).\nAnswer: 37*f**3 - 6*f**2 + 2*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0 - 21*q**2 + 0*q**4 + 3*q**3 + 1\/60*q**5 + 0*q. Let i(c) be the first derivative of w(c). Let b(t) = t. What is i(b(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1924402095 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z + 16. Let s(h) = -8*h + 15. Let b(i) = -3*a(i) + 2*s(i). Let f = 1194 - 1188. Is b(f) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/(j\/((j\/(j*(j\/((j*j\/(j\/(j\/((j**(-2)\/j)\/j))*j))\/j))\/j))\/j)))))\/j)\/j*j)\/j**(-29)*(j*j**(7\/8)*j)\/j*j**(-3\/20) assuming j is positive.\nAnswer: j**(1309\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 902918, 902923, 902932, 902945, 902962?\nAnswer: 902983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 2 + -12 + 40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-16) - (-6)\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 17*z - 55. Let s be r(-12). Suppose m + a = 276199, -s*m + 1865259 = -a + 484258. Round m to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(65)*4)\/sqrt(5).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1457*y**5 + 55*y**4 - 13*y**3 - 265317972*y**2 wrt y.\nAnswer: -87420*y**2 + 1320*y - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462 (base 14) to base 13.\nAnswer: 51c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/12 + -3 + 532\/(-560)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l, 2*y - 2527 = 7*y - 2*l. Let n = 507 + y. Find o, given that -25\/4 - 5\/2*o - 1\/4*o**n = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7430 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3178672 - 5.9719714.\nAnswer: -3178677.9719714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85 + 203 + 78)*(-2 + 6 - 2)*(4*t**4 - 2*t**4 + 0*t**4) to the form q + v*t + p*t**4 + a*t**2 + s*t**3 and give p.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3896*p - 4. Determine g(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 + 49 = 3*t - 4*c - 14, 7*t - 4*c = 156 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2. Suppose -370 + 390 = 5*w. Suppose 0 = 3*d - 3*v + 6, 4*d - v = 7*d + 2. Let h(i) = i**2. Give d*q(p) + w*h(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -10. Suppose -3*o - 10 = g*b - 6*b, b + 9 = -5*o. Calculate the common denominator of o\/(-8) + (-99)\/(-8) and -93\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-7) + 1128\/56. Solve 0 = 3*u + 4*t + b, u + 2*t = 6*u - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 38. Calculate r(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80653*0.268.\nAnswer: 21615.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34.98 from 45936.\nAnswer: 45901.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5645 less than or equal to 0.03118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 2*k**2 - k - 15500000. Suppose -7*z = -94 - 74. Let t = z - 24. Let w be x(t). What is w rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {g: 6, o: 1, f: 1, l: 4, h: 2, u: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 11*w**5 + (-4*w**3 - w**3 + 2*w**3)*(-w**2 - 3*w**2 + 6*w**2) + 0*w**2 + 0*w**2 + w**5.\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 5*j = -11, 22 = 4*k - 4*j + 13 + 61 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 68*c**3 - 79*c**3 + 43*c**3 + (0*c + 4*c - 5*c)*(0*c**2 - 3*c**2 - 5*c**2).\nAnswer: -96*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1432202 - 3222?\nAnswer: 1423430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*b + 2*b**3 - 9*b**2 + 14*b**2 - 41*b**2 + 2*b**3.\nAnswer: 4*b*(b - 8)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*g + 4*q, 2*g + 15 = 15774*q - 15775*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 3 (c) -3 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 5*a**2 + a + 1. Let s be 60\/(-33) - 2\/11. Let g = -2 + 5. Let t be (-5)\/((s - 0) + g). Determine b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u\/(u\/(u*u*u**(-27))))\/u)**27 assuming u is positive.\nAnswer: u**(-648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092532 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: Two letters picked without replacement from {b: 2, d: 1, j: 2, x: 1, n: 2}. Give prob of sequence nj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 103 = 5*d - 8*x - 8*x, -23612*d - x - 43 = -23607*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**(-7\/9))**(-37)\/((p**(-2\/5)\/p)**(-4\/5)*((p*p**4)\/p)\/(p**(1\/7)*p)) assuming p is positive.\nAnswer: p**(-70381\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.371 to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/14*183708\/(-83106).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1459 - 482. What is the remainder when s is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1808 rounded to three decimal places?\nAnswer: -0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15582, -15619, -15656, -15693, -15730, -15767?\nAnswer: -15804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -34. Let x be 3\/((g\/(-8))\/5). Suppose 6*s + 7 = -2*i + s, i + 8 = -x*s. Solve 15 + 5 = -i*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(768))**2 + -1 + -2 + ((sqrt(768) - (sqrt(768) - (-1 + sqrt(768))) - sqrt(768))*-1 + sqrt(768))**2.\nAnswer: 32*sqrt(3) + 3834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-276))\/((-6)\/216*-6)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8283 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20111 - 1010221?\nAnswer: -1101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6601*b**2*k - b**2 - 15*k - 234 with respect to b.\nAnswer: -13202*b*k - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6440.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/556686 and -10\/278343.\nAnswer: 556686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2143*-0.2\nAnswer: -428.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpsbsbyq. Give prob of picking 1 p and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*v = -450, -14*v = -5*g - 18*v - 567. Let s be 6\/(660\/g - -6). What is the greatest common factor of s and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010101011001101 (base 2) to base 12.\nAnswer: 24b811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 22 - 14. Let s(v) = 5*v**2 + 4*v + 2. What is the remainder when 124 is divided by s(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*((-12)\/56)\/3*14. Suppose -4*u + 0*u + 2580 = v*o, 0 = -5*u + o + 3195. 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: Let s = 0.4 - 18.4. Let y = s + 14. Which is the second smallest value? (a) 0 (b) y (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 7)*(705*v + 1333*v + 305*v)*(1 + 1 - 5 + (-3 + 0 + 4)*(3 - 2 + 1) - 3 - 2 + 1) as p + h*v and give h.\nAnswer: -23430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 0.0119.\nAnswer: -0.2881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*u - 422*u**4 - 10*u**2 + 8*u + 423*u**4 + 2*u**2 - 1 to p*u**4 + s*u + y*u**3 + j + w*u**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 556*x - 46589. Give z(167).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 10:52 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7102789834 and -7591.7.\nAnswer: -7592.4102789834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5\/9 + 536*m**4\/9 + 33148*m**3\/9 - 368144*m**2\/9 + 418390*m\/3 - 154568 = 0.\nAnswer: -139, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + 3. Let h = 155 - i. Suppose 2*b - 2*x = -0*x + 50, -h = -4*b - 3*x. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/5 - (2919 - 2896)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13775622*b**3 + 9 - 24 + 13775623*b**3 - 14*b + 8*b**2. What is c(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 6285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 35.2. Which is the smallest value? (a) p (b) 5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/16)*m**12 assuming m is positive.\nAnswer: m**(189\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/85, 0.3, -1, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -651\/138164 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 1. Let n(j) = -21*j - 10. What is 6*m(g) - n(g)?\nAnswer: 9*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w + 11*w + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfxtxxdxfydykdf. Give prob of picking 1 y, 1 f, and 1 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 3*f**2 + 98*f - 34. Let v be j(8). Solve 110*a = 87*a + v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3617736.0333 + -3618101. Let a = -2144 - -2509. Let p = i + a. What is p rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) + -5) - sqrt(1584))**2 + (sqrt(11) + 5)*-6.\nAnswer: -126*sqrt(11) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 35*w - 1140. Give i(34).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1102*j**2 + 130*j**4 + 114*j**4 - 241*j**4 + 67*j**3 wrt j?\nAnswer: 72*j + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -50c27?\nAnswer: -50c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30486 - 68659.\nAnswer: -38173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from -516038.49.\nAnswer: -516037.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*l + 5. Suppose -l*p + 167 + 17 = 0. List the prime factors of (-1)\/(-2 + 182\/p).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1098810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 12) to base 11.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 + 11554*l**2\/3 - 247168*l + 35624960\/9.\nAnswer: 2*(l - 32)**2*(l + 17395)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68)\/51 + 13\/3. Let c(t) = -31*t**2 + 153*t + 11. Let n be c(5). Let d(b) = b - 1. Let s be d(5). Solve -n = -u*q - s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(700))*3 - sqrt(700)) + sqrt(700) - sqrt(700)*-1*4) + -2 - (1*(sqrt(700) + -3) + -1 + 3 + sqrt(700)))**2.\nAnswer: -400*sqrt(7) + 17516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 40648447?\nAnswer: 10\/40648447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39053350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1450 + b962?\nAnswer: a512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4555 is divided by 331.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-16)\/3)*(-16)\/6. Solve 0 = -2*j - q - 8, 0 = -2*q - t*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 4*y - 1. Let j(m) = m**2 + 2*m - 3. Let h be j(-4). Suppose -4*v + 14 = h*d, -v - 10 = d - 2*d. Suppose -q = d - 2. Give z(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -542 > 21018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -33150255, -0.4, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:54 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73277098 and 1358?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*f - 174 - 43 = 0, -2*v - 3*f = -145. Suppose v = 2*p - 4*d - 1, -2*d - 220 = -5*p. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -4*v**2 + 0*v**3 + 0*v**5 + 0 - 1\/30*v**6 + 0*v**4 + v. Differentiate y(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30915\/17 + 55945\/68. Let j = s - 2655. Calculate the common denominator of 59\/4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-20)*5\/2*22. Suppose 0 = i*k - 21*k - 2, -16565 = -3*z - 4*k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*j + 5158 + 2253 = -15341 - 2728 for j.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 202*p**2 + 17*p. Let l(d) = 204*d**2 + 21*d. Let f(w) = 4*l(w) - 5*z(w). Let c(s) = -s**2. Determine f(c(v)).\nAnswer: -194*v**4 + v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11512654*l*x**2 - 2*l*x - 91*l + 226337 wrt x?\nAnswer: 23025308*l*x - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(891)*-1)**2 - 5*(sqrt(44) - sqrt(396))\/sqrt(4))*6.\nAnswer: 60*sqrt(11) + 192456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:41 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18442 - 18330. Let a(m) = -2520*m. Let h(y) = -112*y. What is l*h(t) - 5*a(t)?\nAnswer: 56*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q + 5*d = 5, -5*q = 2*d - 2. Suppose 75 + 95 = 2*y + 2*h, q = 5*h - 25. Calculate the common denominator of 33\/5 and 4 + y\/(-12) + 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(-3*(2*sqrt(34) - sqrt(34)) - 6*(sqrt(136) + sqrt(34)))\/((sqrt(5000) - (-2*sqrt(5000) - sqrt(5000))) + sqrt(5000)).\nAnswer: -42*sqrt(17)\/125 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 at most 181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9)*11880\/(-396).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68085924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654891940 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (362\/(-7602))\/(1\/(-36))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22976 - -138131\/6. Sort -0.3, -16, q in decreasing order.\nAnswer: q, -0.3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467260 divided by 1915?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*b - 4*i + 23, 0 = 2*b - i - 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*d + 8789 = 0, 3*n - d = -1370 + 14564. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -57, -109, -169, -231, -289, -337?\n\"Answer: d**3 - 13*d**2 - 6*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1405579386 rounded to 5 decimal places?\nAnswer: -0.14056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 832.995 and -18595?\nAnswer: 19427.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 13*z**3\/8 - 7*z**2\/2 + z\/2 = 0.\nAnswer: 0, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138\/95317 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 40 = -5*d, -3*d + 2 + 3 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/7 - 92*u**2\/7 + 248*u\/7 - 160\/7.\nAnswer: 4*(u - 20)*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -238, -439, -690, -985, -1318, -1683, -2074?\nAnswer: -2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**4\/4 - 65*x**3 + 505*x**2\/4 - 125*x\/2 = 0?\nAnswer: 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 3*r - 30 - 19, 5*r - 115 = 3*d - 124 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1175*d - 2759 + 479*d - 4577*d - 1127 + 311*d with respect to d.\nAnswer: -4962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 5*p - p)*(-1 - 2 + 1)*(-770 - 193 + 155)*(4*p + 0*p - 2*p) to b*p + z*p**2 + d and give z.\nAnswer: 6464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 1\/2*p**2 - 2*p - 2. Let b = 11 + -6. Give v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**18*h)\/h**(2\/3))\/(h**(-5)*h)**(-20) assuming h is positive.\nAnswer: h**(-185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -22. Sort 0.23, t, -5 in descending order.\nAnswer: t, 0.23, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18202 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 366 + -373 + -7 + 0 + 2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**3\/3 + 88. Let f(l) = -2*l + 2*l**2 + 2*l. Give f(q(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 2*s + 3. Let u(b) = -7*b - 7 + 1 + 0 - 2 - 8*b**2. Let j(z) = 4*u(z) + 11*w(z). Calculate j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.4 (c) -3 (d) 636 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {d: 7, x: 3, t: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 301 and 150.\nAnswer: 45150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 35. Suppose 3*t = p - 0. Let u(z) be the third derivative of z**5\/30 - z**3\/6 - 2*z**2. Give u(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/2 + 4)*-2. Suppose 0 = 8*f - 3*f + 25, u*l - 3*f = 24. Suppose -l*i - 2*i + 775 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2)*k)**(-22)*(k*k**(4\/9))\/k*k\/(k**(1\/2)*k) assuming k is positive.\nAnswer: k**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 7*a**3 - 182*a**3 - 4 + 4 - a**2 + 186*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*p**2*x**3 + 4*p**2*x**2 - 3*p**2*x + 2*p**2 + 68*p wrt x?\nAnswer: -582*p**2*x + 8*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 26\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448\/(-2)*(5 - (46 - 11))?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 287*p**6\/120 - 287*p**3\/6 - 179*p**2 + 1. Differentiate w(g) wrt g.\nAnswer: 861*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -3, 3 in ascending order.\nAnswer: -6, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -25.5. Let m = v + 9. What is the smallest value in m, -3\/4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7684077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 8 + 58. Let z = -19 - v. Let m(r) = 2*r**2 - r + 3. Let l(i) = 2*i**2 - i + 4. What is z*m(j) - 5*l(j)?\nAnswer: 2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*m**4 + 82 - 5*m**4 + 102 + 8 - 27 - 3*m**2 wrt m.\nAnswer: -20*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (8*(-6)\/(-10) - 3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0*s + 0 - 37*s**2 - 7\/12*s**4 + 17\/6*s**3. Let w(q) = 5*q - 6. Calculate -6*g(m) - 17*w(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/341 - -664\/1023. Which is the nearest to -1? (a) 0.5 (b) -3 (c) 0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-4 + 19 + -15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/z**(-4))\/(z**(-1\/2))**(-9\/4)*((z*z**(-1))\/z)**35\/(z**1)**(2\/7) assuming z is positive.\nAnswer: z**(-2207\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5143 (base 16) to base 5.\nAnswer: -1131203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 9*g**2 + 13*g + 50. What is the remainder when 106 is divided by n(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -145*t + 5223. Let s be d(36). Let a = 0.41 + -0.4. What is the closest to a in -4, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j - 22. Let a be r(-8). Suppose 0 = a*f - 4*f - 5*q + 1765, -4*f + 4*q + 3516 = 0. Is 38 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*10\/(-300)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-13)*((-8)\/10 + 19 + 1008\/(-40))?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -449*r**5 + 115*r**5 - 63*r**5 + (0 - 4 + 2)*(4*r**5 - 3*r**5 + 0*r**5).\nAnswer: -399*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 333c?\nAnswer: -333a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - r + 2. Let o be m(0). Suppose 47*a = 38*a - 189. Let h be -5 - (-91)\/a*-3. Solve -o*j + h = j - t, -j + t = -6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**8\/6720 - c**7\/630 + c**6\/720 + c**5\/30 - 5*c**4\/3 - 2*c. Let m(p) be the third derivative of u(p). Calculate m(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*p - 353568 = 7*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207522 - 2?\nAnswer: 207520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(45)*3)\/((sqrt(882) - sqrt(18))\/sqrt(2))*-3.\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/3 - 49\/35. Which is the closest to -2? (a) -2\/129 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12786405677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-80)*-4)\/((-95)\/(-38))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from ittcxmrmcxmmmmx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*r*s**3 + r*s**2 + 172*s**3 wrt r.\nAnswer: 45*s**3 + s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1245894 + 141*y - 1245894.\nAnswer: 141*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -133, 2, -5.\nAnswer: -133, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0.4. Let v = 663\/5 + -133. Which is the closest to v? (a) 1\/4 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 46, 149, 366, 739?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 5*l**2 + 7*l - 22. Let g be d(4). What is the common denominator of 74\/57 and 616\/(-77) - (-130)\/g?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220.91585 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*f**3 - 3*f**3 - 32*f**3 + 2*f**3 + 2*f**3 - 2*f**3 + (2*f**2 + 3 - 3)*(0 + 0 - 4*f).\nAnswer: -63*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3928.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.086 + -0.914. Which is the nearest to 0.01? (a) 1 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3283*u**4 + 35*u**5 + 3283*u**4 - u**4 - u**5 + u**4 + 0*u**5 + 0*u**5 + u**5 + (-2*u + 2*u + 2*u**3)*(-3*u**2 + 4*u**2 - 3*u**2).\nAnswer: 31*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 28, 0.05, -2, -27, -12 in decreasing order.\nAnswer: 28, 0.05, -2, -5, -12, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 4, -1 in descending order.\nAnswer: 4, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (1446\/24)\/((-29)\/(-133516)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 28. Let t = m - -34. Suppose -i + t*i - 68 = 0. Solve -a - 2 = 0, 5*s + 2*a = a - i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 3)\/((-3)\/12). Let s be 7 - (0 - (-4 - 0\/4)). Let h(d) = 14*d + 5. Let p(f) = -5*f - 2. Calculate j*p(z) + s*h(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.06 - -0.06. Let n = 2.15 + i. Let p = 0.19 - n. Which is the second biggest value? (a) 0 (b) -2\/15 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1635455043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1122410 (base 5) to base 7\nAnswer: 113226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3238 at most -3238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116*f - 37 + 37)*(-4*f**3 - f**3 + 4*f**3).\nAnswer: -116*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 divided by -6?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 + 16*h**3 - 18*h**2 - 36*h.\nAnswer: -2*h*(h - 6)*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k**(-6)*k)**(-22\/9)\/(((k*k*k\/k**(-1\/4)*k)\/k)**(1\/47)\/((k\/(k\/k**(-2\/7)))\/(k\/(k**(-1\/4)\/k)))) assuming k is positive.\nAnswer: k**(70955\/8883)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84920 and 42460?\nAnswer: 84920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 20*v. Let q(b) = 41*b - 2. Calculate j(q(i)).\nAnswer: 820*i - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**6)\/(q*q**(2\/5))*q**12*q*q**19\/q*q assuming q is positive.\nAnswer: q**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2256 (base 14) to base 16\nAnswer: -1744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.3 minus 4292?\nAnswer: -3761.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -224.4570607 and -16266.\nAnswer: -16490.4570607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422033, 844050, 1266067?\nAnswer: 1688084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/9 + 6200582*a\/9 + 12401168\/9 = 0.\nAnswer: -2, 6200584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9388 - 9360. Solve -q*k - 24*k = -312 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/10)\/((-6)\/5). Is -18 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 522359.1 years?\nAnswer: 5223.591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7776 and 3691656?\nAnswer: 14766624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*t**2 + 0*t + 4*t**3 + 0*t - 43*t**2 wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 8*k**2 - 88*k - 583. Determine n(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 55a + 3?\nAnswer: 55d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((24\/9)\/(-4))\/((-7064)\/866223))\/((-6)\/8).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-30)*425\/(-200)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1113)\/(-14) + (-2)\/(-4) + 5. Suppose 161 + y = 41*r. Calculate the remainder when 46 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from wtunq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -16.1.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 2 - 2)*((-40 + 5 - 17)*(-r + r + 3*r) - r + 0*r - r).\nAnswer: 474*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*q**2 - 4*q**3 + 3*q**3 - 8 - 101*q**2.\nAnswer: -q**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1379151\/7085923 - 2\/32063. Find the common denominator of c and (15\/18)\/(332\/(-3237)).\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 6 + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 15*l + 27. Give t(2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**2. Let a(k) = -17*k**2. Determine u(a(j)).\nAnswer: 1734*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqleqwse. What is prob of picking 1 x, 1 w, and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4550627*t**2. Let u(f) = 27*f**2. Calculate z(u(y)).\nAnswer: 3317407083*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9527, 10594, 11659, 12722, 13783, 14842?\n\"Answer: -x**2 + 1070*x + 8458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.5 (b) -6 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 38*z = -17*z + 44 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 575 + 15. Let p = z - 648.4. What is p rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 5*b + 3*b)*(-2*b**2 + 2*b**2 - 4*b**2) + (-2*b + 0 + 0)*(2*b**2 - 2*b**2 + 2*b**2) + 67*b**3 + 452 - 452.\nAnswer: 83*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.4509ng in milligrams?\nAnswer: 0.0002034509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 6 - 4 + 12890*o**2 - 2*o. Let f be q(3). Round f to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b7 (base 14) in base 10?\nAnswer: -945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 13249.897?\nAnswer: -13250.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 16*z**2 + 37*z + 921. Let y be r(-17). Sort -9, y, -15 in ascending order.\nAnswer: -15, -9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3737457 is divided by 1245816.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r - 160. Give d(-30).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 50976245*p**2 - 3930774580*p + 75775436180 = 0.\nAnswer: 123106\/3193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Let d = -19 + j. Let r = -13 - d. Which is the nearest to r? (a) 0.5 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + 6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1677764376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 15*w**2 - 91*w + 3266. What is the units digit of a(29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*z + 178*z = -19*z - 258*z - 10304 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-88)\/(-165)*(-9)\/6. What is the closest to -2 in x, 0, 24?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 58 - 3*f**2 - 6*f**2 - 7*f**2.\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, and 2 w when four letters picked without replacement from {w: 2, l: 3, i: 4, r: 1, m: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 5. Give k(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 29 = 70. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666053277?\nAnswer: 3, 659, 336901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-three quarters of a micrometer?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -4, 0, 0.3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 137636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17849795 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5167489*m**2 - 5160366*m wrt m?\nAnswer: 10334978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0396, -0.5, 312 in ascending order.\nAnswer: -0.5, 0.0396, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 3092557?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590488046 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4001 - -4000.7. Which is the fourth smallest value? (a) 9 (b) -6 (c) 0 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.152115 meters?\nAnswer: 0.000152115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*l + 16. Suppose 5*u - 124 - 124 = s, l*u = -2*s + 141. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29760\/2484 - 12)*(2 - 14\/4)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2 - 10*z - 5. Let a(x) = -5 - 2 + 1 + 88*x - 100*x + 7*x**2. Let o(k) = 5*a(k) - 6*r(k). Let c(j) = j**2. Determine c(o(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117537981 divided by 3.\nAnswer: -39179327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6\/21 - 542\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmommmmmmommmooo. What is prob of picking 3 o?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 186394187, 186394185, 186394181, 186394175, 186394167, 186394157, 186394145?\n\"Answer: -d**2 + d + 186394187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25248, -50501, -75756, -101013, -126272, -151533, -176796?\nAnswer: -202061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*a - 24, -a - a + 14 = -2*c. Let i(w) = -1 - 30*w**2 + w**3 + 5*w + 34*w**2 - 4*w. What is i(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jitjijtjitjtjijji. What is prob of sequence jj?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6329 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*t + 3*x - 4*x, 0 = 3*t - 2*x + 21. Suppose 71*i - 63*i = -32. Sort -3, i, 3, t in descending order.\nAnswer: 3, -3, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 3}. Give prob of picking 2 p and 1 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -2*m. Let o(y) = 212*y**2 + y + 2. Let d be o(1). Suppose 0 = -q - m*q + d. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 65. Let v = g - -49. Find the second derivative of 1 - v*o - 6*o**5 + 33*o - 1 wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 622\/3085 + -1\/617. What is the nearest to 2\/3 in 2, z, -1.69?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 1. Suppose 5 = 5*g - 0. Suppose 3*w - g - 2 = 0. Let y(t) be the second derivative of 2*t**4\/3 - 6*t**2 + t. Calculate w*y(o) + 10*n(o).\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2) + -2 + 4*sqrt(18).\nAnswer: -2 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 58?\nAnswer: -23\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 69*n**2 - 121*n - 420. What is l(-36)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 5*x + 3. Let r(z) = z**2 - z + 1. What is -b(n) + 4*r(n)?\nAnswer: 2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 56*z + 38 - 54*z**4 - 2*z**3 + 55*z**4 - 15 to m*z**2 + o + l*z**4 + n*z**3 + d*z and give d.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -12.3, -9, 2, 276?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a - 29*a = -6. Let o(h) = 10*h**3 - 6*h + 6. Let v(s) = 21*s**3 - 13*s + 13. Give a*v(y) - 13*o(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7780 = -2*v + 2*l, 11*l = v + 6*l - 3886. Which is greater: v or -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.059 (b) 1\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (4 + -2*sqrt(125) + sqrt(125) - sqrt(125) - (sqrt(125)*-2 + -3))*-5)*1)**2.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 40*q + 1 + 36*q**2 + 29\/3*q**3 - 1\/6*q**4. Find the first derivative of g(z) wrt z.\nAnswer: -4*z + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwuwwuuwwu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12485 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1601382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 4*w - 1. Let r be x(3). Suppose 0 = 100*l - 107*l + 42. Sort 1, r, l in increasing order.\nAnswer: 1, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155436337729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33528 + -22533. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640*a**3 + 496*a**3 + 2428*a**3 + 937*a**3.\nAnswer: 3221*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 15 (b) -3\/4 (c) -3\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a**2 - 168*a + 384 = 0. What is a?\nAnswer: 16\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**4\/26 + 4*f**3\/13 - 12*f**2\/13 + 16*f\/13 + 18. Factor j(t).\nAnswer: -2*(t - 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**2 - 9441*m**5 + 9440*m**5 + 28*m - 6*m**2 + 924*m**6 wrt m.\nAnswer: 110880*m**3 - 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*o = 24. Suppose -o + 36 = 2*i. What is the smallest common multiple of i and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**3 - 469*h**2 + 1380*h + 243.\nAnswer: -(h - 3)*(h + 81)*(6*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 12 = 3*u - 11, -4*s + 21 = 5*u. Suppose s*f - 3*f + 5*d - 4 = 0, 0 = -5*f - 3*d + 108. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 298, 294, 290, 286, 282, 278?\n\"Answer: -4*g + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8193247 to the nearest integer?\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlcjclcljcccc. What is prob of picking 1 c and 2 j?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - (201 + 3)\/(-6). Solve 3*c + 37 - a = f, 4*c - f - 5 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 262 - 41. Suppose 10*a = w - 1. Let q be (1\/1)\/(1\/25). Calculate the greatest common factor of q and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005107 to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 times 134.7097?\nAnswer: 25460.1333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 2, i: 2, c: 2}. Give prob of sequence dc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 41*i**2 + 59*i + 260. Calculate u(-41).\nAnswer: -2159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/((-54)\/(-4)))\/((-2)\/(-3)). Put n, 0.5, -2\/11, 2\/17 in descending order.\nAnswer: 0.5, 2\/17, -2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2259969519.\nAnswer: 3, 753323173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*w + 792597, -1165*k + 1163*k = w - 198151. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + a + 18, 3*h + h - 4*a = -56. Let c = -14 - h. Suppose c*v + 3*v + 4*f - 407 = 0, -9 = -3*f. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114191004 is divided by 700.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.3, -0.7, -4, 5, 621, -5, -0.13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 495*h - 2*h + h**4 + 1 + 454*h to u*h**3 + d*h + x + s*h**4 + b*h**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/34 - 133974\/(-459). Let q = j + 32. Calculate the remainder when q is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-768)\/(-28) - 27)\/(2*(-5)\/1610)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l**3*t + 66*l**3 + 10*l**2*t - 61*t - 362 wrt l.\nAnswer: -12*l**2*t + 198*l**2 + 20*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1002?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1098931, 1098933, 1098935, 1098937, 1098939?\n\"Answer: 2*q + 1098929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5597.22km in micrometers?\nAnswer: 5597220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 1.8. Let v = p - 1.8. Let y = v - 0.1. Which is the closest to 2\/7? (a) 0.2 (b) -0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4144959 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 1. Let s = d - -7. Let f be 3 + s\/(-1) + 2. Which is the closest to 2\/3? (a) -0.3 (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 672 = -8*m + 5*m, 2*r = 0. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.60226172 to 4 decimal places.\nAnswer: -2.6023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6456 - 6408. Solve d - l = -54 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 11:32 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 414 = -54. What is the remainder when 114 is divided by l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b\/(b\/(b**(-2\/3)*b)))))**17*b**0*b\/b**(-2) assuming b is positive.\nAnswer: b**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5103\/1134*(-8)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 495 (b) -2 (c) 4 (d) 1\/5 (e) -10 (f) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -5.8, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2003020 - -20?\nAnswer: 2003100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -11360?\nAnswer: -113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33360 and 33360.\nAnswer: 33360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 944 - 930 = 3*c + 2*m, -6*c - 1 = -m + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17802 - -16559. Put 1, o, -2\/5 in decreasing order.\nAnswer: 1, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -9 - ((4 - 7) + 6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (66\/(-10))\/((-1)\/10). Let x be (6 + o\/(-9))*3\/2. Is -3 + (267 - x\/(-1)) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 51.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2671, 21648, 73225, 173704, 339387, 586576?\n\"Answer: 2717*y**3 - 2*y**2 - 36*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 14. What is the second derivative of 52*u**3 - u**5 - 5*u + 3*u**f - 54*u + 2*u wrt u?\nAnswer: 40*u**3 + 312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1011? (a) -33 (b) 0 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*y**2 + 10*y**2 + 7*y**2.\nAnswer: 13*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5*(sqrt(539) + -1) - sqrt(539) - (sqrt(539) + sqrt(539) + 0 + 0)) + (4*(-1 + sqrt(539)) + sqrt(539) - -2*(sqrt(539) + 0 + sqrt(539))) + -1)**2.\nAnswer: -1232*sqrt(11) + 65283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*o**2 - 230*o.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 + 2*b**3 + 7*b**3 + 2*b**2)*(7*b + 409*b + 150*b) - b**4 + 0*b**4 + 0*b**4 to the form l*b + h*b**4 + r + c*b**3 + v*b**2 and give h.\nAnswer: 5093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - m + 179 = -2*m, 5*b - 3*m = -163. Let s be 6\/((b\/10 + -1)\/(-3)). Solve 5*t = t - s*y + 4, -2*t - 5*y - 4 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-140)\/168)\/(10\/8))\/(73\/21 - 4).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-145)\/(-25) + 2\/10. Let u = 31 - 22. Let h = u - x. Solve -3*c = -4*c - h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324594007 a multiple of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g + 5*n + 223, -3*g - 724 = 4*n. Let d = 64 + g. What is d rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + -22.2. Round r to zero decimal places.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.099 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14670 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t - 1 + 0*t - 2*t + 2 in the form o + l*t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x - 6. Let o be h(-7). Let n be o\/8*4\/25. Put -4, n, -4\/7 in increasing order.\nAnswer: -4, -4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1004627065 and 22035?\nAnswer: 7345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyij when four letters picked without replacement from jiiijytyiytjtijji?\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202503, 202616, 202733, 202854, 202979, 203108, 203241?\nAnswer: 203378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 417 or 418?\nAnswer: 417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107461395, -107461402, -107461413, -107461428?\nAnswer: -107461447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -187*f - 565. Calculate g(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - q**4 - 5)*(2*q - 1 + 1) + (0*q**2 + q**3 + 0*q**2)*(6400*q + 64*q**2 - 6400*q).\nAnswer: 62*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q. Let b(l) = 177*l**2 - 55212. Give b(d(c)).\nAnswer: 708*c**2 - 55212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -31*z - 9. Let v(f) = -203 - 209 + 401 - 29*f. Let a(i) = 5*s(i) - 4*v(i). Let l(g) = -g**2. Give a(l(d)).\nAnswer: 39*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 303 - 303. Let q(j) = -40*j**3 + z + 21*j**3 + 2*j**2 - 2 - 3 + 11*j**3. Let o(i) = -23*i**3 + 5*i**2 - 14. Give 6*o(v) - 17*q(v).\nAnswer: -2*v**3 - 4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*z + 11 + 1, -5*z - 4 = 4*o. Suppose 0 = o*f + y - 12, -2*y + 5*y = 5*f - 15. Let s(d) = -d**3 + 4*d**2 - 5*d + 2. Give s(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 2. Let q(s) = 2*s - 3. Let o(y) = -6*h(y) - 4*q(y). Let u(k) be the first derivative of 0*k + 3\/2*k**2 + 50. Give u(o(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 8*m**2 - 8*m - 8. Let h be k(-6). Let s = h - -35. Let t(x) = x**2 + 24*x - 755. Let y be t(18). Solve s + y = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28523311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {v: 2, t: 2, f: 1, q: 1, u: 1, p: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) 0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1673, -1877, -2217, -2693?\nAnswer: -3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5597\/72 + -514781\/3960. Let r = y - -209\/4. Let z = r + -193\/2970. Which is the third biggest value? (a) z (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-5) - 2\/5. Let m be -36*(0 - n)*-1. Suppose -52 + 7 = -5*o. Calculate the greatest common divisor of o and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 z when four letters picked without replacement from {t: 4, z: 16}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 8) to base 4.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 18*p**2 - 401*p + 1673. Give n(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*r = -37, -136*r + 132*r = -3*d + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116688.70028 - 116667.7. Let d = y - 21. What is d rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (43 - 103) - (0 - 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63046.01326 rounded to the nearest one hundred?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uudddedlulddudd. Give prob of sequence le.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -79. Suppose 0 = -a*u - 2, 0 = 2*v + 3*v + 2*u + 42. Let d be -5*3\/((-15)\/(-8)). Are d and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3154, -3157, -3160?\nAnswer: -3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11575 + 20651. What are the prime factors of j?\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 - 2641 = -4*r + k, -1192 = -2*r - 5*k. Let d = r - 389. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Suppose -5 = -j - p. Suppose -2*n + j = -n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 14*l**2 + 1481*l + 13. Determine p(-46).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 - 75013565.\nAnswer: -75013564.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2625*k - 64350 + 19097 = 96497 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/552559 and 23\/1955429?\nAnswer: 377397797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.8 rounded to the nearest integer?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-314)\/20 - 5\/(-25). Let f = s - -15. Let u = 0.1 + 0.1. Which is the nearest to -0.2? (a) -1\/4 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k + 4 + 4 - 6 - 5*k**2. Let o be (20\/11)\/((-60)\/(-330)). Let s(g) = -6*g**2 - o*g + 5*g - 3*g**2 - 2*g**2 + 4 - 10*g. Give -6*s(d) + 13*t(d).\nAnswer: d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -655408 (base 14) in base 9?\nAnswer: -6412830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -358142356*o - 239503314 wrt o?\nAnswer: -358142356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -7. What is the units digit of -1*(d + 1)*17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 126890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, 1\/9, -2\/5, -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 18. Let g be l(-30). Suppose -c - 46 = -g. Solve x = -c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.59 + -1.589999901. What is d rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5839*t + 219373 - 219373.\nAnswer: -5839*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*h**3 - 25*h**3 + 74*h**3 - 28*h**3 + 8 in the form r + q*h + l*h**2 + c*h**3 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465476.\nAnswer: 2, 11, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 264\/55 - (-5)\/25. Let a = 2 + 1. Solve 2*o - z = a*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/197880 and 109\/18768?\nAnswer: 9102480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 435616930 to the nearest 100000.\nAnswer: 435600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -125*j**3\/4 - 2275*j**2\/4 - 105*j + 135 = 0.\nAnswer: -18, -3\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k - 5*z = 28, 0 = 5*z + 10. Let x be (-21)\/(-15) + k\/10. Let 5\/3*r**4 + 10\/3*r**3 + 1\/3*r**5 + 1\/3 + 5\/3*r + 10\/3*r**x = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2*o**2 - 2*o**2)*(-5 - 2 + 3).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*q - 52 = 0, 4*q - 6 = -o + 22. Suppose 4*j = -0 + o. What is the nearest to 2 in 0.1, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:11 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-12 - -3 - -84 - (-7 - -1))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(9945\/68)*(-9)\/6*-3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/20*(-30)\/4. Let d = 11 - 6. Find the third derivative of n**5 - 7*n**d + 6*n**6 - w*n**2 + 6*n**5 wrt n.\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415 divided by -415.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 12*g**2 + 2*g + 2. Let c be t(12). Let y = 81 - 29. Calculate the greatest common factor of c and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38229661 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.4 + -16.4. Is i greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 864.0422ml?\nAnswer: 0.8640422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1359 and -1468422839.\nAnswer: -1468421480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3616433748.\nAnswer: 2, 3, 29, 599, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -560 (c) -10 (d) 2 (e) 3\/4 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -45*u + 136. Let r be (-50 + 27 - -22) + -1 + 5. Give j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 381262 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -71. Let i(m) = 2*m**2 - 3*m + 3. Let r(u) = 8*u**2 - 11*u + 11. Calculate p*i(a) - 6*r(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 9*f - 8. Let r be l(-10). Suppose 0 = -r*x + 7 + 7. Solve -3*d = -x*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -54*d + 4. Let x be k(3). Let s = -14407\/750 - -16\/375. Calculate the common denominator of s and -1*2 - x\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 223*t**3 + 294*t**2 - 11770. Let w(v) = -288*v**3 - 392*v**2 + 15693. Let j(m) = 7*w(m) + 9*z(m). Differentiate j(y) with respect to y.\nAnswer: -27*y**2 - 196*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m - 431 = -781 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 8*r + 18. Suppose -g = 2 - 7. Let a be u(g). Sort a, 1, -123 in increasing order.\nAnswer: -123, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*d = -0*d + 9, 0 = -d - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -121*k**4\/12 + 7*k + 363. Let y(c) = 3*c. Determine n(y(o)).\nAnswer: -1089*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 5.5, -0.5, -44 in decreasing order.\nAnswer: 31, 5.5, -0.5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (1463\/22)\/7*38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:48 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185.2289 rounded to 1 dp?\nAnswer: 1185.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -81 times -61\nAnswer: 4941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 6*x + 9. Let w(c) = -c**2 + 2*c + 4. Determine -7*w(m) + 3*z(m).\nAnswer: 4*m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5\/5 + 3*i**4 + 18*i**3\/5 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/(-3))\/(-3*((-5)\/770265)\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/18 and -53\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*n**5 + 0 + 0*n - 37\/4*n**4 + 59\/2*n**3 - 20*n**2 = 0. Calculate n.\nAnswer: -40, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 2*g**6 - 3 + 0*g + 2*g**2 - 4*g**4 + 2\/5*g**5 - 2\/3*g**3. What is f in s(f) = 0?\nAnswer: -1, -2\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**2*p)**(-23)*p*p**(-2\/5)*p*p**(3\/4) assuming p is positive.\nAnswer: p**(47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -c0 (base 15) to base 5\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 17 + n**3 - 3*n**2 + 12*n**2 + n + 6*n. Let t be b(-7). Suppose -8*c = -13*c + t. Solve -q + 25 = -5*o, c*o + 25 = 4*q + q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, -57, -4, -379 in ascending order.\nAnswer: -379, -57, -14, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1328 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31548 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/6 - 127*o**3\/3 + 21073*o**2\/6 - 104648*o + 1018464 = 0. Calculate o.\nAnswer: 24, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 20*p + 20*p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1761412 divided by 38.\nAnswer: 880706\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/5093120 and 37\/2435840?\nAnswer: 56024320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 42*r + 87. What is i(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s = 33*s + 51. Suppose -3*p - 146 = -5*q - 35, -4*q + 5*p + 94 = 0. Let n = q + s. Solve 2*i = n*i + 4*u - 6, 4*i + 3*u = 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15218 and -11455749475.\nAnswer: -11455734257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1962*h**5 - 33*h**2 - 10*h + 55. Let m(z) = -980*z**5 + 17*z**2 + 6*z - 28. Let y(u) = 5*m(u) + 3*s(u). What is the third derivative of y(j) wrt j?\nAnswer: 59160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s + 2 - 1 + 12*s - 4*s. Is 16 a factor of q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 minus -3.4?\nAnswer: -70.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 - (56 + -8)) + -1. Let t be (-22)\/(-5) + -4 + 25616\/g. Round t to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -29. Suppose o*j = -0*j + 147. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*w**2 - 107*w**2 - 108*w**2.\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*h**2*x**4 - 106*h**2 - x**2 wrt x?\nAnswer: 48*h**2*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98915366391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08966 and 17.\nAnswer: 17.08966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6594 and 10878?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/63 - -22\/63. What is the biggest value in 5\/4, -5, b?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 6*l - 28. Let r be s(-3). Which is the biggest value? (a) 1 (b) -4 (c) r (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(76))*-1)**2 - ((-3*((-2*sqrt(133) + sqrt(133) - sqrt(133)) + sqrt(133)))\/(-1*sqrt(847)))**2.\nAnswer: 8783\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.29 (b) 1.3 (c) 0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 46*d**2 - 1387*d + 32211. Give u(25).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a**3 + a. Is o(1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 241 = -35*x, 0*x - 3*x - 133*n + 128*n = -26 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-135))\/(2\/3).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 790*z**2 + 868*z**2 + 878*z**2 - 2639*z**2 - 2.\nAnswer: -103*z**2 - 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 9*a**2 - 11*a. Is 8 a factor of v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -25. Suppose 0 = h + c - 17. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7034772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1574 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.66 plus -0.0211?\nAnswer: 47.6389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + -0.4. Let u = -21 - -29. Let g = -7.7 + u. What is the second smallest value in -0.5, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 i, and 1 w when three letters picked without replacement from {j: 1, w: 1, i: 1, l: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -101 + 25972?\nAnswer: 25871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 37 - 2*p**2 - 45.\nAnswer: -2*p**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8966*k - 192. Let z be r(-12). Round z to the nearest one thousand.\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - -20. Suppose k = 4*k + t. Let f = k + 38. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89206318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*k - 14, 2*k - 2*j = -k + 13. Let h be 10\/k + (-1)\/3. What is l in 0*l + 2\/3*l**h + 0*l**2 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/53 (b) -2.701 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 + -132 + -64 + -3?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -163057973 and 0.2.\nAnswer: -32611594.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 871 + -867. Suppose -4 = -x + 2*y + 4, -46 = -n*x + y. Solve 5*u - 21 = x*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1496024 and 0.24?\nAnswer: -359045.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 7*d - 1. What is the derivative of -c - 5 + c - 20 + 41*c**d wrt c?\nAnswer: 123*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/29 - -17\/174. Let g(b) be the second derivative of 3\/10*b**5 + 1\/3*b**4 + 0 + 2\/15*b**6 + 0*b**2 + 3*b + 1\/42*b**7 + f*b**3. Factor g(h).\nAnswer: h*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 24 = 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6 = 56. Let w be v\/(-35) - (-66)\/14. Suppose -3*t - w*o - 3 = -4, -5*t - 5*o = -5. Is 2 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k + 8 = 60*k. Let m be (0 + 3)\/(-3 + 2). Sort k, m, -1 in descending order.\nAnswer: k, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + (0 - -1) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o**2 + 8*o. Let s(k) be the first derivative of 0*k + 1\/2*k**2 + 3. Let p(g) = -15*s(g) + 3*z(g). Factor p(y).\nAnswer: 3*y*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428\/20 - 4\/10?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.3, -58, -34, 3, 7\/5?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121121213 + -13?\nAnswer: -121121232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = 5. Suppose 0 = 4*x - 4*y - 64, -3*y + 5 - 14 = 0. What is the highest common factor of j and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -748, -1465, -2182, -2899, -3616?\n\"Answer: -717*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = -2*p - 3*l, 4*l = 4. Which is the second biggest value? (a) p (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s + 11*s + 351 = -77*s. Sort -6, -2, s, 5, 0 in descending order.\nAnswer: 5, 0, -2, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 7*v**2 - 4*v - 19. Let w be d(9). Let t be w\/(-42)*6 + (0 - -4). Suppose 0 = -4*n + 14 + 6. Solve -n*g - t = -m - 13, m = g + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p + 1\/12*p**4 - 1\/60*p**6 + 1\/105*p**7 + 0*p**3 - 1\/30*p**5 + 0 + 5*p**2. Let l(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 23*n - 15*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**2 - q - 1. Let l = 8 - 5. Let g be (-1 + 15\/9)*l. Let s = 1 - g. Give k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:21 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1692900\/13 and 130222 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -273*i**3 - 44*i - 5. Let p(o) = -135*o**3 - 24*o - 3. Determine 11*p(v) - 6*t(v).\nAnswer: 153*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51863657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:03 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-13825)\/1185)\/((-49)\/6). Let 0 + 18\/7*h - a*h**3 + 6\/7*h**2 + 2\/7*h**4 = 0. Calculate h.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3342\/8*16\/(-6)*-1. Let c = 4316 - r. Suppose -d + c = d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6430 + -18?\nAnswer: 6412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 774572200 divided by -2858200?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -18, -28, -38, -48?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3417, 3422, 3429, 3438, 3449, 3462?\nAnswer: 3477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**8\/336 + z**7\/30 - z**6\/8 + 3*z**5\/20 - 6*z**2 - 1. Find j, given that k(j) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from fffhffhoo.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 61.1608m?\nAnswer: 0.0611608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.268 rounded to one decimal place?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 4*n**2 + 7*n - 5. Let s be f(5). Let y = 10 - s. Suppose 0 = 5*i + p - 15, -2*p + 25 - y = 5*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/13 (b) -39 (c) -1\/220\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -32*w**2 + 12*w + 12. Suppose 60 = 4*o + 12. Let c(k) = 13*k**2 - 5*k - 5. Give o*c(a) + 5*z(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - x. Let r(k) = -7*k**3 - 95*k. Calculate 6*l(n) + r(n).\nAnswer: -n**3 - 101*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-33) - ((-6055)\/210 + 5\/6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*r**2 + 3*r - 198*r**2 - 3*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 1.09 in increasing order.\nAnswer: -6, 1.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/5 + 2\/5. Let q = n + 4. Suppose -20 - 4 = -4*z. Solve y - 18 = 5*w, q*w + y = z*y - 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1701981205, 1701981206, 1701981207, 1701981208, 1701981209, 1701981210?\n\"Answer: v + 1701981204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:51 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/60 + l**5\/10 + l**4\/3 + 17*l**3\/6 + 84*l**2 + 6*l - 2. Give w(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in centimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4460, 4467, 4480, 4499, 4524, 4555?\n\"Answer: 3*q**2 - 2*q + 4459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950\/9*o + 2\/9*o**3 + 236\/3 + 244\/9*o**2 = 0.\nAnswer: -118, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66472626 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k - 42. Suppose -38 - 82 = 2*y. Let i = y + 72. What is the greatest common divisor of i and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 10*a + 12. Let x be f(-9). Suppose 0 = -4*v + 1 + 3, 53 = x*z + 5*v. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h**5 + 2686*h**4 - 50202*h**3 + 425370*h**2 - 1490800*h + 1113000 = 0. What is h?\nAnswer: 1, 10, 371\/27, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, 0.3, -20, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7186\/7 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1598*p - 1539*p = 59 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g - 3 = 0. Let f be 3 + (-1 - (-2)\/1). Is f smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 40.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 5 - ((3 - 0) + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(240) + 2*sqrt(240))*-3)\/((sqrt(10) - -2*sqrt(10))*-5))\/(((sqrt(132) + 2*sqrt(132) + sqrt(132))*-4)\/(sqrt(11) - (sqrt(99) + sqrt(11))*5)))**2.\nAnswer: 3249\/3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*6*((sqrt(637) - (sqrt(637) - 1*sqrt(637))) + sqrt(637)).\nAnswer: 2 + 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g + 22. Calculate the greatest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l - 6*l)*(l + l + 4*l**4 - 6*l**4).\nAnswer: 6*l**5 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2108136 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-14\/9)\/o*o*o*o**(-6))**3)**(4\/11))**(5\/3) assuming o is positive.\nAnswer: o**(-1000\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, -3, 0, -5, -56?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-3))\/((-2)\/(-1)). Let v = 3 + 1. Suppose -s*g = k - v, -g - 3 = 2*k - 17. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 9:30 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 687 = 3*m + 201. Let a = -141 + m. Let s be (-222 - 2)*6\/(-8). Calculate the greatest common factor of a and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m + 252. Give f(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -33380.5232999.\nAnswer: -33381.5232999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 240 in -2\/29, 0.12, -0.06, -3\/8?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2032 + 2.2032. What is the second biggest value in -5, -13, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l + 1. Let k(o) = 217*o - 13. Determine 5*d(h) + k(h).\nAnswer: 267*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -9.93. Let f = 0.0692 - c. Round f to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18240\/36)\/19*(-12)\/(-8)*12\/12?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, u: 10}. Give prob of picking 2 q.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 3. Let v be j(-3). Does 17 divide (-125)\/(-3) - 6\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406464 by -4.\nAnswer: -101616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5*3*(1*sqrt(84) + sqrt(84))*4)\/(-5*sqrt(72)\/(sqrt(6) - (sqrt(6) - (sqrt(60) + (sqrt(60) - sqrt(60)*-1))\/sqrt(10)))))**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.13 - 5.89. Let y = m + 3.26. Let w = -2 - -2. Which is the closest to w? (a) 4 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 851*t - 18509. Give d(21).\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 168 - 14*z**2 - 168. Let q(k) = 4*k**2. Calculate i(q(h)).\nAnswer: -224*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 351052 greater than 351051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -612928.09 minus -1.9767672?\nAnswer: -612926.1132328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 19*a + 1. What is the tens digit of v(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 55. Let d be q(-19). Suppose -42 = -5*p - d, 5*p = 2*m + 471. Let y = 376 + m. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.0844197\nAnswer: 0.01688394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 145099 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: Simplify (o**0*o)**16\/((o\/o**3)\/((o*o\/((o\/o**(-3\/2))\/o))\/o)) assuming o is positive.\nAnswer: o**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160) + sqrt(160)*1)\/sqrt(8) + -4.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2. Let f(t) = -43*t**2 + 32*t - 36*t + 41*t**2. Determine f(u(w)).\nAnswer: -2*w**4 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -0.8 (c) -270 (d) -0.4 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 153325.9 to the nearest 100.\nAnswer: 153300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1477752 by -492584.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 213*j - 217*j + 7 = 0, 0 = 3*s + 2*j - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Let y be (0\/(-2))\/(i + 0). Suppose 3*p = 5*z - 7, 0 = -4*p + z + 3 - 1. Solve 5 = 5*f - 4*q, y = -3*f + q + q + p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*v**2 + v**2 - 6*v**2 + 0*v**2 + 2*v**2 - 4*v**2 - 3*v**2 + 3*v**2 - v**2 + (v + 0*v + v)*(-v + 2*v + 0*v) + 4*v - 3*v**2 - 4*v.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -7. Let k(r) = -r**3 + 8*r**2 + 2*r - 8. Let t be k(g). Calculate the greatest common divisor of t and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*(-24)\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2\/5, -0.3, 3113 in increasing order.\nAnswer: -26, -0.3, 2\/5, 3113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 454 - 451. Factor 144*m**5 - 3*m + 4*m**2 - 4*m**4 - 139*m**5 - 24*m**2 - 26*m**v.\nAnswer: m*(m - 3)*(m + 1)**2*(5*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -114332141514.45\nAnswer: -114332141514.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 682 = -1662. What are the prime factors of d?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*q + 4*q - 303, -2*q = o - 63. Let x = 122 - o. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 20, -4*c + 8*c = -4*r + 1312. Calculate the greatest common divisor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14632203 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1322675*x + 1322687*x - 3968050*x + 1322684*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/3 - 8518*c**3\/3 - 387104*c**2\/3 - 1101656*c\/3 - 241024 = 0.\nAnswer: -42, -2, -1, 4304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(275) - sqrt(11)) + sqrt(11))**2 + sqrt(11)) - (sqrt(11) + -2)*2) + (sqrt(66)*-2)\/sqrt(6) + 5.\nAnswer: sqrt(11) + 1384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21515104 (base 6) to base 7.\nAnswer: 5335462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1 = 9. Suppose -5*r - 9 = -2*z, 6*z - z - 3*r = 51. What is the least common multiple of z and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4676 or 11.1401?\nAnswer: 4676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 129579851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3696 or -3695?\nAnswer: -3696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3951*h - 11836*h - 1 + 3941*h + 4*h**2 + 3942*h.\nAnswer: 4*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (66 - (-44 + 148))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.23000112 - 2.23. Round r to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -53. Suppose 11*l + 8 = p*l. Solve l*t = 4*t + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*6 - ((sqrt(320) + -2 - sqrt(320) - sqrt(320) - sqrt(320)) + (sqrt(5) + -2)*4).\nAnswer: 10 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 583 and 2544.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 1161?\nAnswer: -1157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1)*h)**38\/(h*(h*h*h\/h**3*h)\/h*h*h**(-4)))**(2\/79))**37 assuming h is positive.\nAnswer: h**(148\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*33\/(-48)*2\/66?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 16*c - 35. Let x be o(13). What is the derivative of 126 - 16*m**2 - 32*m**4 - 154*m**x + 16*m**2 wrt m?\nAnswer: -744*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94148\/3 - -1088425\/33. Let d = 1604 - u. What is the common denominator of d and -28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -11. Suppose 25 = y - 5*k, 6 = -s*y + k + 38. What is the tens digit of (-150)\/(-7) + y\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxxucxucqxxqxcxxxx. Give prob of picking 2 q, 1 c, and 1 x.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*y**2 + 2 - 32*y**2 - 2.\nAnswer: -115*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 47, -5, -4 in ascending order.\nAnswer: -5, -4, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -p + 3*p. Let d = -16540 + 16842. What is the remainder when d is divided by p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u = -48*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*k + 12 = 0, -14*p - 5*k + 45 = -9*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 388*v**4 - v**3 - 977*v**2 + 1?\nAnswer: 9312*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402825009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -74.8742826034\nAnswer: -86.8742826034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*o**3 + 393*o**2\/7 - 12*o\/7 - 36\/7 = 0 for o.\nAnswer: -6\/5, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.64 at most as big as 82\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2. Let s be (4 - 4)*2\/4. Let p = 2 - s. Let j(o) = o + 2*o - p*o. Determine j(t(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -7)*(0 + -1). Let c = -1023 + 1026. What is the closest to -9 in 1\/5, c, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 m when four letters picked without replacement from bbymmyububtmtbyutmu.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 0*s - 6*s + 4*s - 3*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 + -11)) + -3 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -4 (c) 3 (d) -863 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/2 - 5*l**3\/2 + 3*l**2\/2 + 5*l\/2 - 2 = 0. Calculate l.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4 - 868*z**3 + 85914*z**2 + 1823368*z + 1736584 = 0.\nAnswer: -17, -1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*v**2*w**3 - 2*b*v**2*w - 73*b + 34*v**2*w - 3*w**3 wrt v?\nAnswer: -4*b*v*w**3 - 4*b*v*w + 68*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*s = -2, 0 = -5*s - 8 - 2. Suppose -7*x = -a*x. Find n, given that 2\/3*n**3 + x + 4\/3*n**2 + 2\/3*n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 777*n**2 - 1551*n + 775.\nAnswer: -(n - 775)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-320)\/8*-2*(-750)\/1250.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3\/(-1)*(-20828)\/8279130.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**5*n))\/n*n*n**(-7)*(n**(-1\/2))**(-17))\/((n*n\/(n*n\/(n*n**(2\/23)))*n*n*n**(-7)*n)\/(n**(-2\/5)*n*n*n\/n**(2\/7))) assuming n is positive.\nAnswer: n**(2781\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-20) - (-41)\/(-48). Let n = p - 1\/16. Which is the closest to n? (a) 3\/4 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 5*b - 16*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v - 4*s, 12 = -0*s + 4*s. Suppose 6*g = v*z + 2*g - 15017, 4*z + 4*g - 20004 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -124, -234, -386?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2195 (b) -9 (c) -0.5 (d) -4544\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -4\/11, 33, -3\/5?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 67460 - 22093 + 90323 = 0. List the prime factors of q.\nAnswer: 3, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27827 + -14610. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - 4 - (2 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-9) + 0\/(-1). Let m = 0.04 + 12.96. Let x = m - 12. Put -1\/2, p, x in increasing order.\nAnswer: -1\/2, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/344 and -39\/18608?\nAnswer: 800144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1066230 (base 7) to base 10\nAnswer: -134232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 + 2.51. Let a = x + -0.31. Which is smaller: 9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1009\/6 or 167?\nAnswer: 1009\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/5 or 539?\nAnswer: 539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 9*t**2 - 2*t - 2*t**2 - 4 + 9*t**2 in the form y + l*t**2 + m*t and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r - 1 = 0, 3 = 2*h + 3*r. Let t = h - 8. Let y(f) = -2*f. Let j(o) be the first derivative of -2*o**2 - 3. Calculate t*y(x) + 2*j(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v. Let y = 4 + -9. Let u = y + 5. Let g be ((-2)\/(-2))\/(1 + u). Calculate l(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 + 3. Let k(q) = -10*q**2 + q + 12. Let h(f) = -k(f) + 3*n(f). What is h(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41916314 and 5257?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 - 210122?\nAnswer: -210332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + -15 + (-2)\/(12\/(-27498)).\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*q - 16 = 0, 5*l + 19 = -10*q + 11*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 85. Which is the nearest to r? (a) -0.2 (b) -2\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 249 + 2?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -36.949, 4, -4 in descending order.\nAnswer: 4, -4, -36.949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-704)\/80 - 110\/50.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -0*u + 2*q - 11, -5*u - 3*q + 19 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130670 and 2920?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -25, 4*r - l + 0*l = 35. Let m be -1 + (-2 - -2) + -4. What is the least common multiple of ((-4)\/5)\/(1\/m) and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -754, 1702, 8378, 21386, 42838, 74846, 119522, 178978?\nAnswer: 255326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 2, 42, -2 in descending order.\nAnswer: 42, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l - l)*(6*l - 4*l + 8*l)*(-1 - 5 + 1)*(-10 - 19 + 12).\nAnswer: 850*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwjlloeewwje. Give prob of sequence bew.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(4\/(-8)) + -41. Let o = -34 - y. Put o, -97, 2 in ascending order.\nAnswer: -97, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Let k(s) = 4*s. Let t be k(j). Suppose 2*m + 2*m - 84 = -t*w, -32 = -2*w - 4*m. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(304)) + 2 - (-5*(sqrt(304) + -1) + -3))**2.\nAnswer: 96*sqrt(19) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-17752)\/84)\/(2\/(-3)) - 5. Let i be (-32 - -4)*g\/(-91). What is the greatest common divisor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3860 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: Collect the terms in -230086875 + 7*x**3 + 230086875.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750 a factor of 113864286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1108 and 92978374.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 1007952.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/855*-38 - 161\/(-5)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 6*n + 50, -1 = -n - 811*r + 808*r for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314\/5*p + 313\/5 + 1\/5*p**2 = 0. Calculate p.\nAnswer: 1, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708234 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z. Let a be 5\/(10\/4) - z. Let w be 51\/(-252) - a\/(-7). Is w smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -897 - 835 - 897 + 206*g**2 + 2629.\nAnswer: 206*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120.9 - -93. Let m = d + 27.5. Let h = -0.6 - -1.4. Sort m, 5, h in descending order.\nAnswer: 5, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 3)\/(13 + -14). Sort -4, a, 1, 12 in ascending order.\nAnswer: -4, a, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = 2*t - 12, -9 = -3*t. Calculate the smallest common multiple of o and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17+47\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/5904 and -137\/342.\nAnswer: 112176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 122, 125, 126, 125, 122, 117?\n\"Answer: -v**2 + 6*v + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*t + 151, 5*t = 29*j - 33*j - 576. Is j at most as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 4*a = -8, -5*m + 15 = -5*a. Let x(i) = 11*i. Let l be x(2). Suppose -5*q = -q - 5*o - l, -m*q = 3*o. Solve -q*k + 8 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*y + 2 + 7, 4*u + 27 = 5*y. Let w be 7\/y - 2\/(-3). Which is bigger: 4 or w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 316*b**5*n + 5*b**3*n + 8*b**2*n - 161*n wrt b?\nAnswer: 18960*b**2*n + 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13111, -13112, -13113?\n\"Answer: -g - 13110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - f + 1. Let y be i(-3). Let q = -3 + 3. Sort q, y, 2 in increasing order.\nAnswer: y, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 + l. Let q be h(-2). Suppose -3 + 28 = 2*u + c, -u = c - q. Let g = 7 + -4. Solve -g*r - 4*x + 9 = 0, 2*r + 3*x + 4 = u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17060 and 1180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 32, 42, 52, 62, 72?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 2956981.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 31 = 4*i, -h + 4 = 2*i - 3. Suppose -j - 5 = -h. What is the smallest common multiple of j*1 - 6\/3 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 8 = -b. Suppose 0*q + 3*q = b*i + 25, -5*i + q = 30. Let z(d) = -2*d + 1. Let p(m) = 2*m - 1. Let c = 9247 - 9253. Determine c*p(o) + i*z(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 11*a = 60. Let c = a + 33. Let f be 2 + (c + -57)\/(-3). Solve -3*t = t - f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-273)\/3)*259000\/(-21). Round h to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**3 + 21*n**2 - 2*n - 36. Calculate w(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 11. Let n(y) = -2*y**2 - 5*y + 8. What is -n(x) + r(x)?\nAnswer: 2*x**2 + 4*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**4 + 740*m**3 + 1435*m**2 - 486680*m + 961620 = 0.\nAnswer: -141, -31, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - (-1 + 0 + 2). Let z(j) = -j**2 + 10*j - 7. List the prime factors of z(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - u = 10, 5*u - 19 = -14*r + 16*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/10)\/((-9)\/23742) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j*m**4 - 2*j*m**3 - 15*j + 86*m**4 + m**2 wrt m.\nAnswer: 48*j*m - 12*j + 2064*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -1034.\nAnswer: 5170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = -0*t. Let g = t + 3. Suppose g = -j - 3*r + r + 1, -2*j = 2*r - 12. Calculate the remainder when 31 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4105, 4100, 4093, 4084?\nAnswer: 4073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 426570192*j*r**6 - 327*j*r**2 - 10*j + 2*r**2 + 2976*r - 1 wrt r?\nAnswer: 51188423040*j*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 2822 = 86. What is the greatest common factor of f and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.04 - 9.1001. Let r = -0.06 - d. What is r rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9752097ml to litres.\nAnswer: 0.0009752097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -22. Suppose 0 = -2*z + 4. Let b be -6*1\/z*w. Solve b*h = 9, 5*h + 5 - 25 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*d**6 - 689011*d**5 + d**2 + 7815*d + 1426 wrt d?\nAnswer: -2760*d**3 - 41340660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 2*t - 22 + 4*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 6*p - 6. Suppose 4*c + 5*k = 64, 5*c + 4*k - 51 = 29. Suppose -5*d + c = -3*d. What is the smallest common multiple of d and o(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/2)\/((-2)\/(-60)) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84.4 - 14681787\nAnswer: -14681871.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1 + 2\/1. Let m = v + 5. Suppose 5*d - 3 = m. Solve -d*i = i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.4 (b) -4 (c) 1\/6 (d) -0.05 (e) 96 (f) 3 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ifddddik.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 10*r + 134. Let v be j(10). What is the units digit of v\/(1\/(-9 - -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1124490 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 25*j - 22. Calculate m(-8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8027520 and 5760?\nAnswer: 24082560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(-25*u**3 + 260*u**2 - 260*u**2) - 3*u**2 + 3*u**2 - 16*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-6) + 20\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = 0, -2*v + t - 4*t = 21. Let w be ((-4)\/v)\/(2\/(-3)). Suppose 4*x = -2*x + 24. Sort -4, x, w in decreasing order.\nAnswer: x, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9519 divided by 2.\nAnswer: 9519\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/24*(-8 + -1). Let z = f - 6. Solve w = z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 17*n**3 - 17*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10438 + 10438. Solve 19*q - 184 + 222 = j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1\/5, -0.3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*h + 127 - 167, 0 = -2*h + 3*z - 35. Let a(q) = -14*q + 36. Let b(o) = -5*o + 12. Let t(w) = -6*a(w) + 17*b(w). Calculate t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 6 = -2*n, 11*p - n = 8*p - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5 - 4031*a**4 - 8055*a**3 + 12095*a**2 + 32236*a + 16116 = 0.\nAnswer: -4029, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 24 = -5*u, -3*x - 5 - 22 = -3*u. Find the third derivative of -241 + 241 - u*q**2 - q**3 wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8458 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6732 + -0.2732. Which is the nearest to -0.3? (a) i (b) -0.08 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(13\/(2288\/16))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.7 in -1\/13, -0.2, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssrsrsr. What is prob of sequence sr?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272104.\nAnswer: 2, 7, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2*j + 10 = 0, 2*j - 9 = p - 0*j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63614426.\nAnswer: 2, 1021, 31153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 + 159*w - 2064. Give b(9).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 7. Let r be a(7). Suppose -41*t + 6 = -40*t. Suppose -10 - t = -8*u. Solve 0 = 3*b - 3*j, r*b - j = u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00156675 rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 780864\/92736 + 2 + ((-20)\/(-115))\/(-4)*48.\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -1. Let q = s - -13. Suppose 4*d - 3*m = 28, 4*d = 2*m + 25 - 1. Calculate the smallest common multiple of q and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7833.874 grams?\nAnswer: 7833874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7790 and 34358.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 15*y**4 + 228*y**3 - 465*y**2 - 102*y = 0.\nAnswer: -17, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d - 1128 = 0. List the prime factors of d.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k + 250. Let w be n(27). Let t(r) = -4*r**2 + 13*r + 7. Let c(a) = -21*a**2 + 65*a + 36. Let l(y) = 2*c(y) - 11*t(y). What is l(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 3*t - 4 - 133 + t - t - 2*t + (-4 + 3 + 2)*(0*t + 2*t - 3*t).\nAnswer: -2*t - 137","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**2 + 137*n + 557. Calculate p(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((-1 + sqrt(288))*3 + sqrt(288) + 0 + 2)**2 - 3*(0 + sqrt(288))*5) + 0).\nAnswer: -552*sqrt(2) + 9218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.8 + -1.8. Let g = f - 14.1. What is the nearest to g in 3, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28074 + 28074 - 12*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u**(1\/6)*u)\/u)\/(u*u**(-11)*u*u))\/(u**2\/u**3))**(-2\/21) assuming u is positive.\nAnswer: u**(-61\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5625 by 2.\nAnswer: 5625\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2505*r - 6. Let a(t) = 15698834*t + 37605. Give -2*a(v) - 12535*h(v).\nAnswer: 2507*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*m - 1298 = 727 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (19 + (-3 - 8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 207*f**2 - 297*f - 280. Give w(102).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 - 22*y + 31. Let p(g) = g**2 - 7*g + 10. Let v(x) = 2*h(x) - 7*p(x). What is the tens digit of v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/11, -3\/607, -22, -2\/3, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o - 3*o + 6*o)*(-3238 + 3660 + 1207)*(5 - 4 - 3) to c*o + d and give c.\nAnswer: 3258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/2183 - -290315\/52392. Find the common denominator of 73\/9 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6dd62 (base 16) in base 8?\nAnswer: -1556542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54519 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 575863655 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -94. Suppose -5*u = -3*k + 91, l = u + 3*u + 2*k + 64. Let o be 1*3 - (u + 20). Solve o = -4*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16100 = 149*i - 142*i. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3764 + 0.7582. What is b rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 613300 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28399407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t - 3. Let v(f) = f**3 - 9*f**2 - 11*f + 6. Let z(n) = n**2 - 6*n + 3. Let w be z(7). Let o be v(w). Is 8 a factor of u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.248630881 to two decimal places.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = -j - 4, -2*j - u = -37. Let r = j - -2. 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: Suppose 2*q + 404 + 382 = 4*w, 6 = -2*q. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -675 and -673 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 109, 227, 423, 697?\n\"Answer: 39*u**2 + u + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 10, 15*v = 10*c - 5*c - 0*c + 175 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 212*b + 2*b + 313 - 313 as j + y*b and give y.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 156, 48, -10, -3 in increasing order.\nAnswer: -10, -3, 1, 3, 48, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + (-1743)\/9. Let i = -122 - r. Calculate the remainder when i is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85817 divided by -22\nAnswer: 85817\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21954.2 millennia to months.\nAnswer: 263450400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13*j - 174. Let s be z(13). Let a(l) be the first derivative of -43*l**2\/2 - 12*l - 1. What is the tens digit of a(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 28. Let v be ((-1 + u)\/(-4))\/(-2). Factor 0 + v*k**2 + 3*k**2 - 15*k + 12.\nAnswer: 3*(k - 4)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q + 3. Let j(g) = 50*g + 10. Let r(m) = -86*m - 18. Let o(w) = 7*j(w) + 4*r(w). Determine 6*o(i) + 4*z(i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 663620*x**4 - 8*x**3 + 448756*x + 15.\nAnswer: 7963440*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 4472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(sqrt(208) + 1 + -2 + sqrt(208)) - (sqrt(208)*-2*6 + sqrt(208) - (-3 + 1*sqrt(208))))*2)**2*-1.\nAnswer: -852032 + 4096*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(sqrt(475)*-1)**2.\nAnswer: -1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -60409 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12472 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9290000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*f + 94*f = -9. Solve f*q = -5 + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4402214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00717952 rounded to five decimal places?\nAnswer: 0.00718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 - -31667?\nAnswer: 31616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 + 62. Let m = a + 26. Suppose m = 9*n + 39 - 534. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*n - 112. What is the least common multiple of 12 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -2 + 3 - 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3219 rounded to one dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 8*r**2 + 106*r + 524. What is c(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 10:53 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2837*a = 25683 + 33894 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1722 + 3083. Let b = 2401 - f. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**3 + 4*r**2 - 5. Let j = -133 - -139. Let l(w) = -w**2 + 2 - w**3 + 3 - 6 + 2*w**2. Give j*l(v) - a(v).\nAnswer: v**3 + 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: ((23\/92)\/(4\/(-12)))\/((-2)\/144)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(13) - 3*sqrt(13)) + 4 + 5 + -1 + (sqrt(1573) - (-1 + sqrt(1573)))))**2.\nAnswer: -1296*sqrt(13) + 4788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -589*l**3 - 477*l**2 + 4*l. Let j(r) = 1767*r**3 + 1429*r**2 - 13*r. Let b(x) = 4*j(x) + 13*m(x). Find the third derivative of b(n) wrt n.\nAnswer: -3534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3)*(-471 + 919 - 474)*(-3*z + 5*z - z + (1 + 0 + 0)*(-3*z + z + 3*z) + 6*z + 7 - 7 + 3 - 3 - 2*z)*(0*z - 3*z + z).\nAnswer: -1248*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 9:31 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35028551*h*j**2 - 149617618*h - j**2 wrt j.\nAnswer: 70057102*h*j - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56052 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/4 (b) -2\/17 (c) 2\/5 (d) -4\/5 (e) 7\/88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(1\/1075*43))\/((-1)\/(-1))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/30)\/((-1)\/40). Solve -i*a = -11*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/126 and -47\/546.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -53320.\nAnswer: -15996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8288919 by 3897.\nAnswer: -2127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752629350 divided by 73650.\nAnswer: 10219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:54 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**6\/120 - q**5\/30 + q**4\/8 - q**2. Let m be (4\/12)\/(5\/15). Let v be ((-42)\/(-28))\/(m\/(-2)). Give i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnkr when four letters picked without replacement from rrrrrknrrnmfrxrfrnrf.\nAnswer: 11\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1687392, 1687388, 1687384, 1687380, 1687376?\n\"Answer: -4*m + 1687396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (3 + -2 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/100 and -61\/527930?\nAnswer: 5279300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29.2 in 1, 287\/2, 1\/6, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*f + 232 = -818*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 24*b**3 - b**2 - b + 1. Let o be (-1)\/(-2) + (-5)\/(-10). Let k be g(o). Suppose -27 = -2*v + j, -3*v + 5*v - 5*j = k. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -275, -1078, -2341, -4004, -6007, -8290?\n\"Answer: 10*j**3 - 290*j**2 - 3*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/5)\/((11\/198)\/((-170)\/(-459)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 8400 = -l + 27*z, -l = -z - 8398. What are the prime factors of l?\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*p + 7, -5*y = 2*p - 10*y - 11. Let w be ((-156)\/65)\/(-3*p\/80). What are the prime factors of (-11)\/((-66)\/w)*(-12 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8745730 to the nearest integer?\nAnswer: 2957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2294915 by 3857.\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5672864\/135 + -42021. What is the common denominator of 74\/9 and t?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k - 6. Let g(z) = -2*z + 1. Let l(m) = 6*g(m) + v(m). Let n(u) = 52*u. Calculate n(l(w)).\nAnswer: -52*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 285*u**2 - 49149*u + 240437738.\nAnswer: 570*u - 49149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2 = -26*r + 28*r, -5*r + 2*r + 45 = 17*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56 - -2?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -275b (base 16) in base 4?\nAnswer: -2131123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2069 - 2019 = -35*l, 3*l - 2 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3679*l - 134051*l - 405198*l.\nAnswer: -542928*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11158 and 21809108?\nAnswer: 152663756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892931097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 2*v**3\/3 + 9*v**2\/2 - 22*v + 35. Let m be z(3). Calculate the greatest common factor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v + 1. Let r(b) be the second derivative of -b**3\/6 + b**2\/2 - 183*b. Give -a(y) + 3*r(y).\nAnswer: 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -z - 115, -3*l - z = -0*l + 67. Let w be (-1)\/(-3) - 112\/l. Let 5*p**2 - p**2 - w*p - 15*p + 16 = 0. What is p?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2251 divided by -10.\nAnswer: 2251\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*k + 2*k, 2*t = -k + 24. Let m(z) be the second derivative of -3*z**3\/2 + 5*z**2\/2 + 7*z. Let d(a) = -28*a + 16. Calculate k*m(w) - 5*d(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735708591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3456 = 8*w. Let y = w + 606. Let x = -132 + y. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-176) - ((-46)\/44 - 0).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*((-85)\/20 - -4))\/(1\/(-8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -18, -0.07, 1, 24\/7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let t = -223\/4 + 56. What is the nearest to 0 in -1, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 34 = -2*i - 2*r, -3*i + 5*r - 1 = 0. Suppose -f + 0*m - 5 = -2*m, f = 3*m - 9. Suppose -f*v = -i*v. What is the nearest to v in 1\/4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26, -63, -128, -227, -366?\n\"Answer: -s**3 - 8*s**2 - 6*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d + 69. Give o(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 j when four letters picked without replacement from cjjcjccjccjccjjcjcjj.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-184))\/(4\/7400). Let u = m - -7\/23. What is the common denominator of u and 5\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.24 + -0.05. Let h = p - 0.18. Let g = 1852 - 1852.4. What is the closest to 2 in -3, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*q - 14 - 5 = 0, 5*j - 21 = -2*q. Suppose 5*x - 4*v + 92 = x, -j*x - 105 = -3*v. Let d = x + 34. Calculate the remainder when 30 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11044770 and 7363180?\nAnswer: 22089540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(12)*1))**2 - sqrt(24)\/(sqrt(36)\/sqrt(3) + sqrt(12)).\nAnswer: -sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127614 divided by -3.\nAnswer: 42538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 53 = 26*i + 47, -5*i + 2*i + 0 = 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 97*w - 1572. Let u be m(-76). Calculate the highest common divisor of u and 1832.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9196 = -4*g + 9340. What is the greatest common factor of g and 3528?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 0*o + 25*o**2 + 1\/3*o**3 - 37\/6*o**4 + 0. Let x be u(-1). What is the highest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 694177 = 87*c - 1071575. Is 118 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 199 - 141. Let s = k + -58. Factor r**4 + 0 - 2\/7*r**3 + s*r**2 + 0*r.\nAnswer: r**3*(7*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let n(t) = t**3 - t**2 + 1. Let g be n(w). Solve 0 = p - 4, 0 = 4*f - g*p - 2 + 26 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.877563318 rounded to 2 dps?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*b**3 + 980*b**2 - 26557 + 26558 - 980*b**2 + 4*b**3.\nAnswer: 51*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -5 (c) -4 (d) -6\/59 (e) -2448 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 2 + 7\/(-2))\/((171001\/(-26558))\/631).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 2 (c) 0.052 (d) 0 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -235*n + 535*n - 261*n. Let w(y) = -35*y. What is w(a(v))?\nAnswer: -1365*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11954 times -1.2?\nAnswer: 14344.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**5*y - 733*u**2*y + 662*u + 5*y wrt u?\nAnswer: 40*u**3*y - 1466*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4764*d + 12322. Calculate q(3).\nAnswer: -1970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-38)*(-3*(-1)\/(-36))\/(208\/624).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 25 = -0*n + 5*n, -3*l = 0. Let y be (-1)\/(1\/(-3) + 0). Suppose -z - 2*z = -y*d - 3, -2 = n*d - 2*z. Which is smaller: -0.6 or d?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1577.587t?\nAnswer: 1577587000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/13 + 72*c**3\/13 + 864*c**2\/13 + 3456*c\/13.\nAnswer: 2*c*(c + 12)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241.62 - 1.38. Let x = 241.83 + i. Let a = -1.1699538 - x. Round a to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 5*h**2 - 6*h - 8. Let q be z(-4). Suppose q = u + 1, -2*u - 354 = -4*t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1064\/114)\/((-35)\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by -2 - ((-10)\/(-20) - 46\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2 + 7*b**2 + 3 + 2 - 2 - b**3 + 3*b. Let a be g(7). What is the highest common divisor of 33 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 4*z**2 - 2*z - 2. Let w be y(2). Suppose -3 = -q - 0*q. Let c = 3 - q. Solve -w*k - 6 - 4 = c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7749821 + -426253103\/55. Let o = b - -1158\/5. Calculate the common denominator of 32\/9 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.6 + -10. Let x = -0.9 - m. Let b be (-1)\/(-2)*(-2 + 0). What is the biggest value in x, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + n - 1 = 0, -5*n + 11 = -y - 2*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Let r(u) = -u - 1. Suppose 0 = -4*i - 2 - 6. Let d be 2*i\/4*-4. Let h(q) = q + 2. What is b*h(m) + d*r(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.62 and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 15*j + 6. Let y be g(14). Let t be -1 - (4 + -2 + y) - 0. Solve t*b + 132 = 157 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2198445 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/3 - 8416*k**2\/3 + 3617780*k\/3 - 442136600\/3.\nAnswer: 4*(k - 1574)*(k - 265)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 33*v**3 + 6*v**2 - 4*v. Let t be l(2). Suppose 3*r + 0*h = 3*h + 435, -4*h = -2*r + t. What is the greatest common factor of 30 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 304 times 0.4?\nAnswer: 121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*c)*(-2*c - 2*c + 3*c) + (3*c**2 - 3*c**2 + c**2)*(5 - 5 - 1).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2468 - -2472. Suppose 3*n + 13 = 4*n. Calculate the remainder when n is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/11901734 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g - j, 45 = 5*g - 4*j. Suppose g*q + 6 = 5*p + 66, 3*p - 39 = -2*q. Suppose 3*b = -0*b + q. Calculate the remainder when 18 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(4896) + 1*sqrt(4896))\/(sqrt(2) - (sqrt(2) - (sqrt(98) + sqrt(98)*-2))).\nAnswer: -24*sqrt(17)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65634 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 8*d**2 - 7*d + 2. Let i(q) = -q**3 - 12*q**2 - 12*q - 4. Let c be i(-11). Give f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6114 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7293 and 44421.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*n - 2*n - 38*n + 28*n.\nAnswer: -68*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-15)*-3)\/((1944\/(-45))\/(-12))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 45, 88, 129?\n\"Answer: -t**2 + 48*t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 87 = 34. Let t(s) = -27 + 5*s - 3*s - 3*s + 6*s. Let m be t(q). What is the greatest common divisor of 224 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = w. Suppose -40 + 56 = w*l. Calculate the highest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -181*j + 10 + 211*j - 31*j. Suppose 4*t = 2*d - 74, -t + 3*d - 6 - 10 = 0. Let g = t + 27. What is i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.5508 rounded to 2 decimal places?\nAnswer: -25.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4. Let j(c) = -c**3 + 8. Let v(f) = -3*j(f) + 5*x(f). What is the first derivative of v(w) wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4 - 527649*m**3 + 4748679*m**2 - 14245875*m + 14245794 = 0. What is m?\nAnswer: 3, 175874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5235 + 10852. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*g + 218 + 20, 48 = a + 5*g. Let o = a - 38. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 (base 11) to base 13\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -38?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnen.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7822884 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -54*o + 93*o - 49*o. Let u = 29 + 61. Let d(i) = 90 - u - 3*i**2. What is l(d(q))?\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 2*m - m to y + k*m and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 16*d + 7. Let r be u(0). Suppose -6*o - 105 = -r*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 40. Let r(q) = q**2 + 14*q - 6. Let t be r(-13). Let c be k(t). Let f be ((-3)\/c)\/(3\/10). Solve 9 = 2*g - f*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = 44*f - 734. Suppose 0 = -3*n + u - 40, -3*n - 2*u = -17 + 63. Let v be (n\/6 - 0)*-33. What is the greatest common factor of f and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-29)\/(-5))\/(4\/20).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 2:37 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2 - 91856*o - 183720 = 0.\nAnswer: -2, 45930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 2551431?\nAnswer: 2551430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8 (base 11) in base 9?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 1349156?\nAnswer: -9\/1349156","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 15*h + 8*h)*(-3*h + 5*h - 4*h) + (7*h - 2*h + 4*h)*(194*h - 91*h - 40*h).\nAnswer: 569*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 - 6*n**3 + n**3 + n**3 + 0*n**2 + 0*n**2 + (n**3 - n**3 + n**3)*(-5 + 1 + 5) - 4 + 2*n**3 + 4.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.08 - -10.6. Let b = p + -0.481. Let o = 0.239 - b. Is -3\/4 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*n + 14*n**2 - 3*n + 3*n**2 + 19*n**2 wrt n.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81660324 and 7564?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2. Let l(k) = -k**2. Let u(y) = -12*l(y) - 5*r(y). Let q(f) = 10*f**2. Determine u(q(c)).\nAnswer: 200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 3*d - 3*d + (0*d**2 + 2*d**2 + 0*d**2)*(4 - 4 - 6*d) as l + x*d + v*d**3 + g*d**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75892?\nAnswer: 2, 18973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 31*r**2 + 33*r**2 - 85*r**2 - 2 + r**3 + 23*r**2. Suppose 0*k = k + 3. Determine z(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - (-18 + -14 + 91)) + -38.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t - 99 - 21. Suppose g - 2 - 3 = 0. Suppose g = 4*r - 3. Solve -r*l = 2*l + t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 84*d**2 - 2*d + 3. Let c be b(1). Let f = 90 - c. Which is greater: f or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 divided by 4?\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**5\/d)\/d)\/(d*d*d**8))\/(d*d**(-4\/9)*d\/d**(-7)) assuming d is positive.\nAnswer: d**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1306098 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 3*r + 3*g = 14, -3*g = 5*r + 31 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/8 + (-30)\/(-8). Suppose -d + 3*d - 6 = v, d + 2*v = z. Solve -d*w + 3 = 2*s, 2*s + 16 = 3*w + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - 9*o - 2*o to the form z*o + s and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**4\/24 - o**3\/3 - 9*o**2. What is d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 268153883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 5 = -7. Sort -4, y, 10.\nAnswer: -4, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15106)\/61096 - 1\/(-4). Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*o = 2 - 6, 11 = 4*i - 3*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36396, -36402, -36420, -36456, -36516?\nAnswer: -36606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (3 + -12 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 294*p**3 + 1352*p**3 + 73 + 221 - 2*p wrt p?\nAnswer: 9876*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/17 - 60*p**2\/17 + 58*p\/17.\nAnswer: 2*p*(p - 29)*(p - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 4:31 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 126275\/7 - (23\/7 - 3). Let h = x - -1161. What is h rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 7456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 - 3840*x**4 - 1474560*x**3 - 283115520*x**2 - 27179089920*x - 1043677052928 = 0.\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-215)\/10)\/((-63)\/84)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5567\/15 + 371. Sort 4, 2, w.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182909977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -537494, -537492, -537490, -537488?\n\"Answer: 2*b - 537496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*13\/(-845))\/1.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -234471 greater than -234472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 388642*w - 13213815. Give d(34).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(1 + (-2)\/3)*1227. Let y = -512 + g. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -2\/2083?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -47 and 0.0156 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -373, -539, -729, -949, -1205, -1503, -1849?\nAnswer: -2249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2399, -2393, -2387?\n\"Answer: 6*h - 2405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**3 + 202*z**2 - 105*z - 148. Let j be l(-51). Which is the fifth smallest value? (a) j (b) -6 (c) -0.3 (d) 0.5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b. Let t be (0 + b - 8) + 1. Round t to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:38 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4180786*l**3*y + 3433465*y wrt l?\nAnswer: 12542358*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + 129 + 7*k**4 - 443*k**2 + 444*k**2 - 4*k**4 as n + w*k + x*k**2 + p*k**4 + d*k**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -12*a + 9*a. Let l(z) = z**2 + 10*z + 21. Let x be l(a). Does 33 divide 5*66\/2 + x + -10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 6:53 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5586 by -6.\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 17. Suppose 5*l - p*l = -5*a + 25, 26 = 2*a - 2*l. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uow when three letters picked without replacement from {w: 1, u: 3, b: 2, t: 1, o: 5}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 8 - (-42 - -31).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 160.\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 11*r - 39. Let f be n(-6). Let u(y) = 2*y**2 + 18*y + 11. Let d be u(f). Let i be -3 + d + -3 + -4. Which is smaller: -1\/17 or i?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*z + 10, -4*z + 3 + 1 = -2*u. Let f be (u + (-105)\/3)*-1. Suppose -2*t = 3*t, -m + f = 4*t. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2. Let z(t) = -t**2 + 2*t - 3701. Calculate z(d(g)).\nAnswer: -4*g**4 - 4*g**2 - 3701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 14 = -4. Suppose -3*m - 2*m + 2*n = -85, 51 = 3*m - n. What is the remainder when m is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p + 16*p = 24*p + 5*g - 34, 3*g = -7*p + 72 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 18540 = -187*z + 16296 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59551747.\nAnswer: 71, 838757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 163768 or 163769?\nAnswer: 163769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(sqrt(1331) + 0 + sqrt(1331)) + sqrt(1331).\nAnswer: -77*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114543544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 - 87*m + 44. Determine z(19).\nAnswer: 557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44485 + -29207. List the prime factors of r.\nAnswer: 2, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1411949*m**2 + 475*m + 234 wrt m?\nAnswer: 2823898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.379 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91241.\nAnswer: 23, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4754 is divided by 136?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 213769288 times 3\nAnswer: 641307864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119144 is divided by 105?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 38. Let s(j) = 4*j + 15. Let n(z) = -8*z - 36. Let o(d) = 3*n(d) + 5*s(d). What is the units digit of o(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 68215936*o**2 - 290838438488180*o - 581676604112648.\nAnswer: -4*(o + 2)*(o + 8526991)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10247081?\nAnswer: 13, 31, 47, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 39*x + 643. Let f be g(-16). Solve -18*n + f*n + 12 = 4*s, s - 10 = 2*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 555+-93345402\nAnswer: -93344847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -15*a + 1255. Let r(i) = 13*i - 1203. Determine 4*n(q) + 5*r(q).\nAnswer: 5*q - 995","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 861370 and 5?\nAnswer: 861370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15 = -3*p, 2*l + 5*p + 25 = -l. Suppose l*f + f + 5*c = 30, -3*c = f - 20. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12206*y + 125 = -12231*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 20317*h. Let k(d) = -2551*d**2. Determine i(k(s)).\nAnswer: -51828667*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c + 14*c - 19*c + 2*c**2 - 3*c to the form j*c + y*c**2 + w and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 10. Let p(x) = 9*x**2 + 3*x + 23. Calculate w(p(m)).\nAnswer: -9*m**2 - 3*m - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*k, -3*y - 7*k = -3*k + 7. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 1, j: 1, s: 1, o: 1, m: 1}. What is prob of picking 1 o and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 66*k**2. Let p(i) be the second derivative of -i**7\/840 + 14*i**4\/3 + 2*i - 160. Let y(w) be the third derivative of p(w). Give o(y(f)).\nAnswer: 594*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*l - 123, -4*i - 2*l + 159 = -l. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176119007.4 seconds to weeks.\nAnswer: 291.2020625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 1, l: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-242))\/((-56)\/(-88))*(-112)\/(4\/(-2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10688642567733 plus -3?\nAnswer: -3.10688642567733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28cb + 3?\nAnswer: -28c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose 0 = 2*y + 4*l - 6 - 0, -2*l - 33 = -3*y. What is the least common multiple of f and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 531*d**2 - 2*d - 1. Let g(o) = -o. Determine g(h(q)).\nAnswer: -531*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/12 + 3*h**2 + 5*h. Determine y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.62\nAnswer: -0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.85 + 0.25. Let g = -5.6 - s. Sort g, 0.4, -1, -16 in ascending order.\nAnswer: -16, -1, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)\/(p\/p**(-5))*p*p**2*p\/(p\/p**6*p*p*p*p*p)*p**(2\/17)*p**(-2\/17)*p*p*p*p*p*(p*p**(-5\/3)*p*p)\/(p*p*(p*p**3)\/p) assuming p is positive.\nAnswer: p**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 64.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -0.153 (c) 1\/2 (d) 2\/11 (e) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**6\/3 - 13*w**5\/5 - 13*w**4\/4 + 4*w**3\/3 + 92. Factor r(m).\nAnswer: m**2*(m - 4)*(m + 1)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1512)\/sqrt(2))\/(sqrt(252)*5 - sqrt(7)).\nAnswer: 6*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4676 + 2485?\nAnswer: 7272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 1224.71568.\nAnswer: 1224.51568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -529, -1151, -2175, -3589, -5381, -7539, -10051, -12905?\n\"Answer: 2*s**3 - 213*s**2 + 3*s - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*z + 8, 12 = p - 6*z + 8*z. Solve 0 = -x - p*c - 22, 0*x + 2*x = -5*c - 29 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-16))\/u**(-1\/9))**(2\/173) assuming u is positive.\nAnswer: u**(326\/1557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*t - 2*o - 32, -5*t - o - 10 = 0. What is the hundreds digit of 844\/(3\/t + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3325033258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Let c(b) = 694*b + 170. Calculate c(u(w)).\nAnswer: -694*w + 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -341*x + 319*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 10*d**2 - 18*d + 24. Let q be b(-7). Solve -4*o + 5 = -5*p, -39 + 60 = q*o + 2*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100010001111111111 (base 2) in base 8?\nAnswer: 2421777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2)*(-78)\/26*1. Let h(b) = b**3 + b**2 - 4*b + 11. Let c be h(z). What is the highest common divisor of 365 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/74 (b) -0.02 (c) -2\/13 (d) -3\/7 (e) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*k + 21 - 27, -14 = 2*u - 5*k. Let d(o) = -1 + 2 + 3 - 9*o + 4 + o**2. Give d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 12. Let l be y(-7). Suppose -25 + l = -5*o. Sort o, 5, 1 in decreasing order.\nAnswer: 5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 9*b**2 - 53*b + 8. Let m be k(13). What is the nearest to -1\/3 in 0, 0.05, m, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11423.\nAnswer: 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - d. Let a be z(1). Let i(s) be the first derivative of 2*s**3\/3 - 3*s**2\/2 + 3. List the prime factors of i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180 - 76. Let t = q - 65. Which is bigger: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*y = -687*y - 516*y + 38*y + 54028 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 33 = -107. Suppose 49 + 21 = 5*f. What is the smallest common multiple of f and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3*u**3 + 6*u - 4 - 3*u - 2*u as t + s*u**3 + w*u**2 + y*u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2 - 11*h. Let u = -33 - -35. Suppose -3*r - 9 = 0, 0*w + 17 = u*w - r. Let s(c) = -2*c**2 + 5*c. Determine w*s(g) + 3*m(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14338 + 39673. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from paaaaaaaapp.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 1. Let w(o) = -4*o + 4. Let h(d) = -12*i(d) + 3*w(d). Let b(n) = -9*n. Give b(h(p)).\nAnswer: 216*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2662 and 363.\nAnswer: 7986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25854 and 54560558?\nAnswer: 163681674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 78, 128, 198, 288, 398?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Let z be j\/(-10) - (-2413)\/95. Solve 0 = 5*t - 0 + z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9856\/672*((-6)\/4)\/((-1)\/(-2) - 3).\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 301.\nAnswer: -5\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -431.4 times -0.3\nAnswer: 129.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*o - 128, 224 = 3*o - a + 32. Suppose -22*x + 24605 - 9161 = 0. Calculate the remainder when x is divided by o.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -109 in decreasing order.\nAnswer: 4, 1, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -587, -674, -761?\n\"Answer: -87*u - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - 5) + (27 - 27)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/(10\/(-7100)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(-3\/5)*l)))\/l*l**1)\/((l**5*l)\/l*l**2)*(l**(-1)*l)**(-34)\/(l**(3\/7)*l*l*l*l**(-3)) assuming l is positive.\nAnswer: l**(-211\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axhlt. What is prob of picking 1 t and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a + 23*a = 42*a + 1792. Calculate the greatest common factor of 21 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1068*d**3*o - 16*d**3 + 2*d**2 + 16*d*o - 126*d + 1 wrt d?\nAnswer: -6408*o - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18976349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-14)*b)\/b)**(-2\/15))**(-2\/51) assuming b is positive.\nAnswer: b**(-56\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r + 5*m - 26, -3*r + 2*m = -1. Let o = 6 + -4. Is o bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4497, -9116, -13687, -18210, -22685, -27112, -31491?\n\"Answer: 24*f**2 - 4691*f + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-30))\/(572\/(-40) - -14). Which is the nearest to 1\/4? (a) 10 (b) 3 (c) -6 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -108*a - 47 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 557831141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 7*g - 13. Let o be x(6). Let v(y) = -y**2 - 8*y + 1. Let h be v(o). Suppose h*p = 3*p + 215. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*z**4\/3 + 424*z**3 + 51362*z**2\/3 + 2120*z - 1600\/3 = 0. What is z?\nAnswer: -20, -1\/4, 1\/8, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*f = 41, 4*k + 872*f - 876*f = 12 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 6:37 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/480 - q**5\/60 - 5*q**4\/96 - q**3\/12 + 37*q**2. What is s in p(s) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*o - 63*o + 192*o + 66*h = 57*o + 944, -4*h = 5*o - 76 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000349854066 rounded to six decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -654*o**3*x + 36*o**2*x + 2*o + 2*x wrt o?\nAnswer: -3924*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**5\/210 - 181*a**4\/84 + 26*a**3\/3 - 300*a**2 - 3*a. Solve d(t) = 0.\nAnswer: -182, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 140\/(-3) + -1 + 2. Let g = 46 + q. Let p be (2 + -2)\/(-3 - -2). Is g less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n**2 + 24*n - 45. Let q(d) = -3*d**2 + 12*d - 22. Let o(i) = 2*a(i) - 5*q(i). Let r be o(-14). Let p be 11\/20 - (-1)\/4. Is p <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 1:44 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4048 at most -4047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000512813 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-9)\/n**(-3\/14) assuming n is positive.\nAnswer: n**(-123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 4, v: 9, g: 4, d: 1}. Give prob of sequence vgg.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 63*y**3 + 12*y**3 + 15*y**2 - 15*y - 74*y**3 + 42. Determine f(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 17 - 15 = 0. Is m*(-1854 + 7)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 1. Let l(v) = -3*v - 6. Let f(g) = 6*j(g) + l(g). Let y be f(2). Suppose 2*p - 10*q = -7*q + 16, 2*q = 4*p - 24. Which is greater: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 6*z**2 + 10*z - 26. Calculate g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.265, -19, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 2 = -7*c. Solve 5*p = c*t - 6, 0 = -t + 3*t + 2*p - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5*k + 2*k**3 - 6*k + 2*k as u*k + h*k**3 + o + i*k**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 143.6060057 to 0 decimal places.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/169870 and 12\/11805965.\nAnswer: 23611930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 584\/120 + -25.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and -194.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - 1) + (3 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00351089 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 c when three letters picked without replacement from ecfvybv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2962 and -5.\nAnswer: 14810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 252? (a) 0.1 (b) -9 (c) -2\/7 (d) 94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12035 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94900, 379551, 853982, 1518205, 2372232, 3416075, 4649746?\nAnswer: 6073257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -219223350 divided by -30?\nAnswer: 7307445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32527*w - 32472*w + 1705 = 0 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374229 is divided by 3052?\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -18736.58 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 1:14 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q - 2*n, -6*q + q + 3*n = 2. Suppose m = -m - 4. Let w be -8*m\/(-4)*-1. Is q > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.4, -2.7929, 2 in increasing order.\nAnswer: -2.7929, -2.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.5 and -6862 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 0.03 (c) -9\/1847 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83313 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/4 + 2*i**3\/3 + 5*i**2\/2 - i - 151. Let h be c(-2). Solve 12 + 2 = -3*t - h*r, -4*t - r - 13 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*n**2 + 482*n**2 - 238*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -678 - -680. Suppose 5*u = -162 + 27. Let o = -27 - u. Solve -4*f = 4*l, o*l + 5*f = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 3*r**2 + 4*r**2)*(-3*r + 2*r - 2*r)*((-4*r + 4*r + 11*r)*(18 + 21 - 15) + 2*r + 2 - 2).\nAnswer: 1596*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4171\/6 + -695. Let t(v) be the third derivative of -4*v**2 + 1\/6*v**4 + 0*v - k*v**3 + 0. Differentiate t(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-81)\/108*-16*(-3)\/18. Suppose 0 = -3*j - 6*p + 2*p - 17, 5*j + 15 = -4*p. Which is the second biggest value? (a) 0.2 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/2)*r**(-4\/11)\/r)**3 assuming r is positive.\nAnswer: r**(9\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -45 (b) 2 (c) -3\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 53*c - 198. What is the hundreds digit of g(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 - -199. Suppose f = 7*q + 474. What is the second smallest value in -1, -2\/3, 0.2, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 316*l.\nAnswer: -4*l*(l - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 165060*s**2 + 98*s**5 + 5 - 165060*s**2 + (13*s - 5*s**5 - 13*s)*(4 - 4 + 2).\nAnswer: 88*s**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -149.5843 - 0.261176\nAnswer: -149.845476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 8*h - 7. Let q be y(9). Let x be 60\/14 + q\/(-7). Let m = x - 0. Solve m*i - b - 3 = 3*i, 20 = -5*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (-132)\/(-24))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 13, g: 3}. What is prob of picking 4 y?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379, 79, -11, -7.\nAnswer: -11, -7, 79, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97261 or -97262?\nAnswer: -97261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**4 + 11*u**4 - 32*u**2 + 79*u**2 - 2*u**2 wrt u?\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f. Let b be y(1). Let v(w) = 5*w - 4. Let x be v(b). Suppose -57 = -5*d - 4*h, 2*h - x = -d - 2*h. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8 + -4.80000118. Round l to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 0, -5.4, -0.3, 0.62, 1\/3?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 16 = 6*c + 7*c. Let i be (-15)\/6*4\/(-5). Solve i*f = x - 1 - 1, 2*x + 4*f = c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-9))\/(940\/(-846)). What is the closest to -1\/3 in -2\/11, 4\/17, f?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 6:13 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 3. Let z be f(2). Let c = 0.1 - -0.1. Which is greater: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3\/2, -0.5, -6, 2\/5 in increasing order.\nAnswer: -6, -2, -3\/2, -0.5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2 + 7 - 6*o**3 + o**3 + 8*o**2 + 4*o**3. Let q be s(8). Suppose 2*w - q = 1. Solve -w*b = -1 + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7498442 or 67485980\/9?\nAnswer: 67485980\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - m - m = 0, 0 = -l - 4*m. Let f(j) = 2*j + 7 - j + 1 - 5. Let w be f(l). Solve 0 = w*y + 3*t - 24, -4*y + 3*t = -0*t + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 285040 and 5264.\nAnswer: 13396880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 187 and -71?\nAnswer: -13277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 3634*y - 1489854. Determine m(-471).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10324\/7 - 1472. Find the common denominator of c and (-11)\/77 + (-440)\/(-42).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173549.\nAnswer: 3, 13, 30091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**4\/6 - o**3\/3 + 9*o**2. List the prime factors of t(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**3 + 11*z**2 - 1246*z - 6237. Give m(-5).\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 375742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 313*f**4 + 9089*f**3*u + 6*f**2*u - 432*f**2 - 2375*u wrt f.\nAnswer: 7512*f + 54534*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*t**2 - 30 + 118*t**2 + 3 to m + f*t + b*t**2 and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708407187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 3:11 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -82c9 - 3?\nAnswer: -82cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-304)\/1008 + 6\/7?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let s(m) = -90*m**2 - 110*m**2 - 150*m**2 - 120*m**2 - 49*m**2. What is s(q(b))?\nAnswer: -519*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.871 to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < 609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/1474 + 26537\/7370. Is d > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0 - 2*i + 1\/60*i**5 + 3*i**2 + 7\/24*i**4 - 5\/6*i**3. Determine a(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(-52 - -53).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59185 + 14257 = 864*c for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 8*p + 2. What is the remainder when 33 is divided by t(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -34*d - 7. Let w(k) = 12*k + 2. Let q(i) = -2*i + 10. Let t be q(6). Let v(p) = t*o(p) - 7*w(p). Let h(s) = s**2. Calculate h(v(b)).\nAnswer: 256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 9. Let t be k(-7). Suppose -c + 5*g - 12 = 9, 2*g + t = 3*c. Let r be -2*(-5 - -4)\/c. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0*i + 2*i)*(-1759 - 6511 + 1709).\nAnswer: 13122*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23\/11 (b) 11 (c) -2\/3 (d) -8 (e) -0.46 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*o**3 - 6*c**2*o - 32*c**2 + 24*c*o**4 - 1008*c*o**3 + 24*c*o**2 - 2*c - 4*o**3 - 2*o wrt o?\nAnswer: 6*c**2 + 576*c*o - 6048*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*-1754.\nAnswer: -29818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65596 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(-5 + 5 + 2*b)*(19 - 19 - 5*b) - 6*b + 6*b + 5*b**2 + 5*b**2 - 7*b**2 - 1 + b**2 as w + j*b**2 + k*b and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 2402 + 2430 = 0. Let d = 12 - 6. Put r, d, -2 in increasing order.\nAnswer: -2, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6))**(2\/61)\/(w**(4\/15)\/(w\/((w**(7\/5)*w)\/w))) assuming w is positive.\nAnswer: w**(-152\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let u be b\/(-1 + 57\/54). Find the common denominator of (-3)\/(u\/(-2))*-22 and -107\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**7\/350 + 103*u**6\/200 - 21*u**5\/10 + 320*u**2 - u. Factor t(x).\nAnswer: 3*x**2*(x - 2)*(x + 105)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4299*d**3*q - 5*d**2*q + 232*d**2 wrt d?\nAnswer: -25794*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340956 to the power of 1\/2, to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195307, 781203, 1757695, 3124783, 4882467, 7030747?\nAnswer: 9569623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 235 = 5*w, -141 = -2*w + 4*t - 21. Suppose d + 2*p = 4*d + 30, -5*d - 3*p = w. Let o be (36\/15)\/((-2)\/d). Solve 5*y = y + o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2929400977 to the nearest one million.\nAnswer: -2929000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/8 + 729*j**2\/8 - 1521*j\/2 - 3765\/2.\nAnswer: 3*(j - 10)*(j + 2)*(j + 251)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322213513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200745503?\nAnswer: 7, 17, 53, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 561645961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i + 43. Let r be j(5). What is the highest common divisor of r and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - (-11 - (-5 - -7117))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 289, 700, 1265, 1978, 2833, 3824, 4945?\nAnswer: 6190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (240\/(-18) + 4)*45\/(-6). What is the highest common divisor of 20 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*v)*(-94*v**2 - 392*v**2 + 11*v**2) in the form w + l*v + u*v**3 + m*v**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 7:37 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 3:40 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 292*o**2 + 12*o - 3. Let i be (-9 - -3) + 5 + (4 - -1). Is z(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 43\/3, 6, -76, 3, 0.7?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 15.91. Let i = t + 0.1. Let y = i + -0.0100024. What is y rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:25 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/(-945))\/(1\/(-7)). Suppose 0*m = -2*m - 5*t + 8, 2*m - 6 = -4*t. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -690124298 - -690124344.99999984. Let q = 47 - f. What is q rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 3\/(39\/143) - (-352)\/180.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81296675 at least as big as -81296674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5785392 and 2544?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 12*u**2 - 10*u - 8. Let l be p(11). Suppose -l*r + 5*b = -41, -5*r + 3*b + 77 = -18. Calculate the remainder when 86 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose 10*i - i - 36 = j. Solve -3*o + 6 = -u + 3*u, i*u - 12 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1335683 or 1335687?\nAnswer: 1335687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 58 = -4*l - o, 2*o + 49 = 3*l. Let r(c) = 5 - l - 4*c + 6. Let u(m) = -17*m - 17. Let k be 1 + -3 + 3 + -27. Calculate k*r(h) + 6*u(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 30*h**3 + h. Let g be d(1). Suppose -2*n = 4*t + 2*n + 60, t + g = -5*n. Let s = t - -30. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 16*k**2 - 12*k + 518. Calculate q(-13).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -25?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 11*t + 6, -2*u + 2*t - 925 + 915 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/4 + 115*f\/4 + 7776 = 0. What is f?\nAnswer: -128, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 + 9*b + 4. Suppose 0 = -c + 3*w + 10 - 1, 3 = c - w. Suppose 2*k = -c*s + 4*s + 2, 0 = 2*k + 5*s - 11. What is the units digit of g(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 5*w**2 + 5*w - 5. Let q(m) be the third derivative of -4*m**2 + 0 - 1\/3*m**3 - 1\/30*m**5 + 1\/12*m**4 + 0*m. Give -2*k(a) + 5*q(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 8:54 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 3:06 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-10)*(-5)\/((-1600)\/48)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43.81 and 0.5.\nAnswer: 21.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*z)*(3*z**3 + 9*z**3 - 5*z**3) + (3*z**3 + 0*z**3 + 0*z**3)*(-5*z + z + 3*z) + (2*z**2 + 3*z**3 - 2*z**2)*(18*z - 7*z - 7*z).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Suppose 24 = 4*z - 2*g, z - 6 = f*g + 5. Suppose 10*k = z*k + 110. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - (-18 - -7)) + 15.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 7357274?\nAnswer: -7357277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 8*o + 228. Calculate the remainder when o is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15865562?\nAnswer: 2, 7932781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -180. Let a = -63 - c. Suppose 11*v - 239 = -a. What is the remainder when 57 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*p + 1. Suppose 3*x = b - 34, p*x + 31 = b - 0*x. List the prime factors of b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -586 + 628. Calculate the highest common divisor of z and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63931 is divided by 15971.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 5*f - 5. Let s be a(5). Sort -0.2, s, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2))**40)**(-2\/41))**(6\/5) assuming u is positive.\nAnswer: u**(192\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10011010110110101011?\nAnswer: 10011010110110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 5*v**4\/24 + 77*v**3\/6 + 8*v**2. Let w be y(-15). Solve 0*q + w*n = q + 7, 5*q = -n + 20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78650.96um in nanometers?\nAnswer: 78650960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28060619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 7) to base 13\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 6) to base 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*y**2 + 16*y**2 - 21*y**2 + 55*y**2.\nAnswer: 98*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 - 100. Suppose p = -2*t + 4*t - 62. Let d = 38 - t. Solve d = -o + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 2*b + 1. Let h(s) be the first derivative of 2*s**3\/3 + 5*s**2\/2 - 3*s - 1852. What is -8*a(x) - 3*h(x)?\nAnswer: 2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/(44\/(-33)). Solve -z = t + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16168*q - 16156*q - 200028. What are the prime factors of q?\nAnswer: 79, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212 and 48594799.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 12. Suppose 0 = x - s*x + 20. Let p be -60*(-2)\/(x\/1). Solve 10 = -5*f + p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 2 + -32 + -2 + 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6078\/15 + (-3)\/15*1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2\/19, -1\/2, 0, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -92, 3.\nAnswer: -92, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 338\/91 + (-2)\/(-7). Suppose -2*c - 18 = -h*j, -5*c - 5*j - 15 = 45. Let l be 14\/4*(c + 13). Does 6 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.3, 0.02, -2.2, 206?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from dll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26685163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51\/4 - -13. Let o = 24 + -14. Let w = -11 + o. What is the second smallest value in 0, g, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 19*x**4\/4 - 5*x**3 + 1597*x**2\/2 - 160. What is the second derivative of l(b) wrt b?\nAnswer: 114*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 - (20 - -1 - (-168 - -175) - (-18 + 34))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 403*b**3*z - 1387*b**3 + 2*b**2*z - b*z - 61*b + 806*z wrt b?\nAnswer: 2418*z - 8322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y + 5. Let b = 28 - 8. Solve -b = -y*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hllllhl. What is prob of picking 3 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 202\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(363) + 3*(sqrt(363) + -2 - sqrt(363)) - ((sqrt(363) + 1 - sqrt(363)) + 3)).\nAnswer: -30 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 16*y**2 + 214*y + 83. What is x(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -121?\nAnswer: -4\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Suppose z*f + 0*f = 40. Let w(j) = j + 1. What are the prime factors of w(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 10:03 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = 4*x, -2*x + 1 = -3*x. Solve -2*w + b = s - 2*s, 4*w - 9 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/20)\/((-6)\/92) and -14 - (18625\/350)\/(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) -592 (c) -0.2 (d) 3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -4659, 12\/41 in ascending order.\nAnswer: -4659, -3, 12\/41, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 374313014?\nAnswer: 374313012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.002 - 1.002. Suppose -5*j + 22 - 2 = 0. Which is the closest to k? (a) j (b) -2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -141\nAnswer: -8\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*l - l. Suppose 5*h - 14 - l = 0. What is the tens digit of (2 + -8)*(h + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39554862341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18915 and 9165?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/60 + z**4\/4 + z**3 + 3*z**2. What is the units digit of d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**5 + 20*v**4 - 80*v**3 - 320*v**2 = 0. Calculate v.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 divided by 35?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 - -221.5. Let t = 0 + 1. Let k = 3 + -2.5. What is the smallest value in q, k, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 = -4. Suppose -4 = 2*x - 4*x. Suppose 7 = -2*p - 0*n + n, 2*n = 2. Sort u, x, p in ascending order.\nAnswer: p, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9512 and 11284758.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*u - 146*u - 155940 = 0. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 4*u + 1. Let n(i) = -125*i**2 + 114*i + 1. Let a(y) = -2*d(y) + n(y). What is the second derivative of a(m) wrt m?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28447760 to the nearest one thousand.\nAnswer: 28448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - 1.76. Let b = a - -2.3. What is the closest to -1 in 3, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/12)\/(-5) + 1. Which is the fourth smallest value? (a) f (b) -1\/6 (c) -1\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 29*k**2 - 13*k + 55. Give f(-14).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7182 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 + u + 2. Let o = -17 + 15. Determine t(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -45776*j. Let p(b) = 23*b**2. What is k(p(h))?\nAnswer: -1052848*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p - 54*p = 136*p + 35212 - 3220 for p.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 15 + 27 = 0, 0 = 4*q + 3*r - 132. Let v(h) = -h + 6. Let k = -15 + 15. Let b be v(k). What is the greatest common divisor of q and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28127, -50414, -72701, -94988, -117275?\nAnswer: -139562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2\/4*2 + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/33 and (4\/113 + 0)*9167\/2472?\nAnswer: 7458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*l + 251 - 46*l + 93*l)*(-17 + 8 - 5).\nAnswer: -14*l - 3514","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-18)\/(-27)) + 7. What is the greatest common factor of 36 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 60406184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**4 + 20*d**3 + 16*d**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -111101?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1011110111 (base 2) to base 5\nAnswer: -11014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 380 - 6220 = 0. Is w a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 0*c**2 + 7*c**2. Let z(v) be the first derivative of -2*v**3\/3 + 35. Give 3*h(t) + 8*z(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - -2*sqrt(147))*1 - sqrt(147))**2 - (-5*(2*sqrt(6) + sqrt(6)))\/sqrt(2).\nAnswer: 15*sqrt(3) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33002 (base 9) in base 15?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9090.492 kilometers in nanometers?\nAnswer: 9090492000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 2*t**5\/85 + t**4\/34 - 2*t**3\/17 - t**2\/17 + 4*t\/17 - 25. Let s(k) = 0. Calculate k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*t - 354*t - 36 = 0. Solve -13*j = -t*j - 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 480649305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjrj when four letters picked without replacement from {r: 1, j: 6, w: 12}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0*s**4 + s**3 - 2*s - 236*s**2 + 235*s**2 + 2*s**4 as i + f*s**3 + z*s + b*s**4 + k*s**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6499*o = -6264*o - 2585 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 100654 (b) 1\/27 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (145 - 135)*(0 - 4\/(-10)). Let z = 41 - 23. Differentiate 10*y**4 - 8*y**n + z*y**4 + y**4 - 21 with respect to y.\nAnswer: 84*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -16. Suppose 3 = k - a. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 2 + 20)*((3 + 2 - 3)*(2 + 0 + 0) + 1 + 1 - 5)*(-5*r + r + 2*r) in the form c + k*r and give k.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.5017 - -126.4983. Let i = 0.1 + 0.9. What is the third smallest value in i, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a century in months?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9100797.\nAnswer: 3, 17, 178447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 7 = 15. What is the least common multiple of 0 + (-1 - g) + 27*3 and 9?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o - 1 + 1)*(-2*o + 2*o + o**2) + (-3*o + 3*o - 5*o)*(-5*o**2 + 4*o**2 + 0*o**2))*(-6*o + 267 - 9*o - 266).\nAnswer: -45*o**4 + 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 159139.134 milliseconds in weeks?\nAnswer: 0.000263126875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28804 bigger than 28810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2615175 and 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1147 - 742. Let i = y - 404.743. Let h = -0.37 + i. Round h to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - g + 1. Let m(d) = 14*d**2 + 4*d - 14. Let v(z) = 12*z**2 + 5*z - 13. Let t(o) = -2*m(o) + 3*v(o). Calculate -6*s(j) - t(j).\nAnswer: -2*j**2 - j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tes when three letters picked without replacement from {e: 1, i: 2, s: 1, t: 1, k: 1, f: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 5044.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 292\/16425*(-690)\/(-368)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -23*d - 25. What is the remainder when v(-3) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42187007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 1116880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 279*w + 283*w + 10, -2*y = -w + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1350\/(-5))\/(-9) + -3. Suppose -23*f - 4*h - 32 = -d*f, 5*f + 5*h - 50 = 0. Solve -u + 9 = 3*q, -5*u + 0*u - 3*q = -f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 154*x**5\/5 + 1664*x + 475. Differentiate n(w) wrt w.\nAnswer: 616*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/115 > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*z + 15 - 15)*(6 - 4*z**4 - 6).\nAnswer: 52*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 662 - 539. Put c, 0.4, 0.1, 5, 3\/5 in ascending order.\nAnswer: 0.1, 0.4, 3\/5, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v**(-3))\/((v*v**(-7\/5))\/v*v*v**(-2\/11)) assuming v is positive.\nAnswer: v**(32\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 17. Let n be w(10). Let t be 87*1 - (n - 13). What is the greatest common factor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k. Let q be u(1). Let f = -138 + 139. Let p = f - q. What is the nearest to -1 in -2, p, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 14*a**2 + 11*a + 17. What is the remainder when k(-7) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*p = -646*p + 332*p + 1044 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204929?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 301238971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 11*r**2 - 5*r - 6. Let x be k(6). Suppose t + 66 - 63 = x. Let d(m) = -4*m**2. Let z(l) = -9*l**2. Give t*z(p) + 7*d(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*j = -2*j + 10, 4*s - 5 = -3*j. Let f be (s + 40\/15)*-3. Which is greater: -21\/5 or f?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10281 or 133638\/13?\nAnswer: 10281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from obbbbbzqqqxqf.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -2\/33, 109 in descending order.\nAnswer: 109, 0.06, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 0*z + 5\/2*z**4 - 5*z**2 - z**5 + 5\/3*z**3 - 21. What is k in c(k) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 8. Suppose 0 - 5 = -4*i + 5*o, 4*i - 3*o + 5 = 0. Let h = -15 - i. Let d be a(h). Solve 0 = -3*n - 6 + 15, -d = 3*m - 2*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 7, p: 1}. Give prob of picking 2 k.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2817705181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 + 304*a\/9 - 11552\/9.\nAnswer: -2*(a - 76)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 3*v**2 + v + 1. Let o be t(3). Suppose 217 = 14*g - 35. Solve 4*l + 3*m = -4 - 17, -2*l - g = o*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eerr when four letters picked without replacement from ereeekrkerkrkk.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89761471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**4\/12 - s**3\/6 + s. Let f(i) be the second derivative of i**5\/20 - i**4\/2 - 5*i**3\/6 + 483*i. What is f(x) - 6*y(x)?\nAnswer: x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7379, 14768, 22157, 29546?\nAnswer: 36935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 + 16*w)*(-7*w + 3 - 3) + 0 + 3*w**2 + 0.\nAnswer: -109*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.164 - -61.836. Let q = u + -62.1. Let y = -8 + 13. What is the second biggest value in 4\/7, q, y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 33, j - 131 = -2*j - 21*j - 11*j - 4*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5e (base 16) in base 11?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3702\/1851)\/((-16)\/82*2\/8).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*z - 167 = 0, 10*z = -o + 6*z + 64. Let h = -99 + 213. What is the greatest common factor of h and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*f - 2*f + 30, 0 = a + 4*f + 6. Let v(m) = m**3 - m**2 - 16*m - 4. What is the tens digit of v(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40158 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*18\/4*1 - -2. Let o(a) = a**3 + 8*a**2 + 8*a + 14. Calculate the remainder when 13 is divided by o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6353649403 to the power of 1\/3, to the nearest integer?\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - m**2 + 4*m + 3 + 602*m**4 - 603*m**4 as n*m**4 + f*m + t + o*m**3 + l*m**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20684831*g**2 + 15912234*g?\nAnswer: -41369662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 3012 and 3007 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Let b(a) = a - 5. Let t be b(7). Suppose 6 = t*q + p. Solve 0*x - 4*m = 4*x + 4, 2*x - 3*m + q = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70\/19, -0.1, 13\/6, 2\/3.\nAnswer: -70\/19, -0.1, 2\/3, 13\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1694481*y**2 - 6*y - 70096.\nAnswer: 3388962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13287.96 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*l - 2 + 2 = 25*l. Which is bigger: -4\/413 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27063*d + 18*y + 108 = 27058*d, -4*d + 3*y = -18 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 50276*v - 315959522.\nAnswer: -2*(v - 12569)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6424 and 7771945?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12978084 is divided by 248.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20614 + 20614 + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367148 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: Calculate -250212 divided by -4.\nAnswer: 62553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 4*a**2 - 3*a - 10. Let r be y(-4). Determine l, given that 0*l + 0*l**3 + 0*l**r + 0 + 2\/3*l**4 - 2\/3*l**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -8*l**3\/3 + 15*l**2\/2 - 2*l - 8910. Let u(y) = 9*y**2 - 16*y + 2. What is -7*n(s) - 6*u(s)?\nAnswer: 2*s**2 - 9*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-5*-2*sqrt(99)*-3)\/(-1*sqrt(729)*-2 - (-2*sqrt(729) + sqrt(729))*1))**2.\nAnswer: 1100\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000002523022 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -7*i**3\/3 - i - 23. Suppose -3*u + 0*u + 8 = -5*v, -5*u = v - 4. What is k(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23421 at most as big as 23418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**2 - 34415*r + 87810?\nAnswer: -4*r - 34415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 6 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 312 * -166.\nAnswer: -51792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2015 - 633?\nAnswer: -2648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y + 21. Let u be i(4). What is the remainder when 76 is divided by 39*u*11\/33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 18. Let j be v(9). Suppose j = 4*w + 1. Is 2 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45675 = -2876*x + 1861*x for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -11)*-1 - (3 + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010110 (base 2) in base 13?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssxsssssxsx. Give prob of sequence xxx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -155\/3, 0.1 in descending order.\nAnswer: 0.1, -1\/5, -155\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 22*j + 188. Give g(-29).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = -12. Suppose 4*v - 63 = v. Suppose 3*l + 1 - v = 4*w, 3*w = -15. Solve 2*z = -a*c - 2 - 10, -2*c - 4*z - 16 = l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 12 = 5*s - 4*r, -5*s + 6 = -3*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -259, -577, -1011, -1555, -2203, -2949, -3787?\n\"Answer: n**3 - 67*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 25*u + 20, 3*v - 6*v - v = -0*v - 3*v - 4*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8)*r\/(r\/(r\/(r*r**(-3))))*r assuming r is positive.\nAnswer: r**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + k - 4)*(-3 + 6 - 1) - k - 2*k + 5*k + 47*k - 1 - 3 - 44*k + (k - 1 + 1)*(4 - 2 + 0) + 2*k + 3*k - 2*k + (0*k - k + 2*k)*(2 + 0 + 0).\nAnswer: 14*k - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 11) in base 13?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 + 98. Let z be (1 + -4)*4\/(-3). Suppose 4*j + 5*r - 37 = 0, -z*j - 11 + 46 = 3*r. Calculate the greatest common factor of g and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -512 + 484 + (0 - -56).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-140)\/(-8)*-4*(-7)\/(-2). Let u be w\/(-15)*39 - -3. What is the greatest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -346 - -375. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 157*w**2 + w + 38. Let p(l) = 157*l**2 + 40. Let j(d) = -2*a(d) + 3*p(d). What is the second derivative of j(k) wrt k?\nAnswer: 314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42281 is divided by 42087.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -u + 9, 5*y + 3 + 5 = -2*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 2:46 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 0 + (-56)\/(-2) - -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/(8\/(560\/10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/17 - 9\/34. Let i = 2\/3 + b. Let l = 1881 + -14977\/8. Find the common denominator of l and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237 divided by -2.\nAnswer: -237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29092926 is divided by 105?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Let i be x(4). Let t = i - -17\/2. Let j = 57 + -55. Which is the nearest to t? (a) 0.2 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 76908790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8886.\nAnswer: 2, 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -215 - 125?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m*m*m**(2\/13))**(2\/7) assuming m is positive.\nAnswer: m**(4\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 0*r - 2*r + 3*r. Suppose 0*k = 2*k + 12. Let p(d) = -5*d. Let w(z) = -9*z. Let s(c) = k*w(c) + 11*p(c). What is l(s(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 7*g + 8. Let f = 10 + -7. Suppose -b + 2 = g*t + b, -f*t + 7 = b. Sort 5, t, 2 in decreasing order.\nAnswer: 5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 8684328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006598 to seven decimal places.\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 3, z: 3, f: 1, d: 2}. Give prob of sequence zidg.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -111376, -111378, -111380, -111382, -111384?\n\"Answer: -2*a - 111374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -0.05, -0.1, 220, 1, 2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35998 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -16562*r**3\/19 + 28222376*r**2\/19 - 1240520*r\/19 + 13632\/19 = 0. What is r?\nAnswer: 2\/91, 1704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33875729 by -11.\nAnswer: 33875729\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -2*w**3\/3 + 13*w**2\/2 + 22*w - 289. Give q(12).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 99916373?\nAnswer: 99916373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 d when four letters picked without replacement from {a: 2, d: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -34*m - 1. Suppose -4*s - 2 = -2*l - 2*s, 13 = -5*l - 4*s. Is a(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqom when four letters picked without replacement from {w: 1, q: 1, o: 1, u: 1, m: 2, x: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 51 - 21 = 0. Suppose p = -h*a + 2*a - 158, -3*p - 5*a - 473 = 0. What are the prime factors of 1467\/13 - 24\/p?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 39 = -4*t - 3*d, 0 = -5*d + 5. Suppose -t*v - 9 + 20 = 0. Let q = 7 + -4. Sort v, 0, q, 5.\nAnswer: 0, v, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7853 + -7843. Is 55\/12 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 2622?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -4*p, 2*q - 5*p + 2 = 3*q. Let f be (1*(2 - q))\/(-1). Let a = f + -2. Is a equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 95*i + 97*i = 8, -3*i + 22 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8501 divided by 74.\nAnswer: 8501\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 525056807*a - 131849899?\nAnswer: 525056807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - 5*c + 16*c)*(0*c**4 + 3*c**4 - 5*c**4) - 3*c**5 + 0*c**5 + 5*c**5.\nAnswer: -34*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 31\/2 (b) 1\/6 (c) -397\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418, -3316, -11170, -26458, -51658?\nAnswer: -89248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 12 = -4*k, 9*k = 2*s + 5*k - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5919 = 11*f - 18789. Let y = f - 317. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215)\/(-35) + -3 - (46 - 13)\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0 = -16. Suppose 0*t - 20 = -k*t. Suppose -o = -3*h + 1112, t*o - 4*h = -0*o - 5516. Round o to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36 (b) -0.2 (c) 0.07 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 - 99. Solve 2*t = 2*q + q + c, -q = -4*t + 21 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*1\/(8\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 201*p - 616 + 4234 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*(-52)\/858*(1\/1)\/((-6)\/(-120)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9326 + 9319. Is -37 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3137, 358, -1, -33 in ascending order.\nAnswer: -3137, -33, -1, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -19*p - 7. Let u(k) = -3*k + 1. Let f be u(-1). Let z be 2*f\/(-8) - 2. Is 11 a factor of a(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -i + 2*i - 5*k, -5*k = -5*i + 40. Suppose -f + 2*f - i = 0. What is the remainder when 9 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 250*s**5 - 209*s wrt s.\nAnswer: 5000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (551*s - 551*s - 102*s**3 + (-6*s + s + 3*s)*(s**2 - 4*s**2 + 2*s**2))*(50*s - 4*s**2 - 50*s).\nAnswer: 400*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*y = -90*y - 3*w - 6, 0 = -5*w - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - f**2 - 1. Let t(u) = 5*u**3 - 2*u**2 + 5*u + 2. Let m(l) = 4*q(l) + t(l). What is m(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221 + 224. Let o = 4290 - 4288. Solve 0*a - 3\/4*a**r - 3*a**o + 0 = 0 for a.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 4:25 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -424, -425, -426, -427, -428?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64999.981 + 65030. Let z = t - 0.019. Let c = 29.99937 - z. What is c rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 1:42 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6105.2997 - 6105. Let v = 0.266 - s. What is v rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 8:17 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6552 and 0.038.\nAnswer: 248.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5d82 (base 16) to base 2\nAnswer: -101110110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + -127. Suppose -g + y = -3*r - 3, 0 = -g + r + 28. Let p = g - 12. Solve -2*u - 2 = 3*a + 15, -4*a = -3*u + p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by (-476)\/(-4) + -23 + 22.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 + 533951131683\nAnswer: 533951131680.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/666 and -29\/3848?\nAnswer: 34632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -24, -7, -9227.\nAnswer: -9227, -24, -7, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 550 + -388. Calculate the highest common divisor of o and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8.442?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzu when three letters picked without replacement from zzguufm?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c + 84 = -119 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 2*d + 2. Let k be q(-3). Suppose 0*a - k = -a. Suppose -2*n = -a - 7. Solve 14 = -5*j - n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51937, 103874, 155811, 207748?\nAnswer: 259685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -3192.427?\nAnswer: -3192.427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/2940*(-47005)\/17.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -4. Let p be (-16)\/(-7) + (-2)\/7. Let u = p - j. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 460255593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 1. Let l = 2 - 2. Let h(t) = -6*t - 1. Let d be h(-1). Suppose l = 3*s - d*s - 4. Give k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 18.4, 7\/8, 3\/34, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:08 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 18050\/(-30)*(-8 - 61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -843856, -843786, -843716, -843646, -843576?\nAnswer: -843506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (64\/16*1\/2)\/((-22)\/(-7128)*18)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, c: 5, z: 2, h: 4}. What is prob of sequence cgch?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 b, and 1 h when three letters picked without replacement from qbchv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0, 6 in descending order.\nAnswer: 6, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*n + 184, 22*n + 736 = 4*m + 19*n. Let v = -164 + m. Solve -33*w + v = -28*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4307, 4311, 4315, 4319?\nAnswer: 4323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 3. Calculate the lowest common multiple of ((-276)\/42 + 8)\/((-1)\/(-14)) and s(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 93, 112, 135, 156, 169, 168, 147, 100?\n\"Answer: -q**3 + 8*q**2 + 2*q + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10988 = 9*c - 10880 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 + 8*m - 5. Let v be b(4). Suppose -109 = -8*r + v. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*n + 119 - 3159 = 0. What is the greatest common factor of n and 1100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71479587.\nAnswer: 3, 23826529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -78340?\nAnswer: 78338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 33 and -0.8.\nAnswer: 32.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/5 + 168208*j**4\/5 - 7072809891*j**3\/5 - 56600815068*j**2\/5 + 318343060656*j\/5 - 254669603904\/5 = 0. Calculate j.\nAnswer: -12, 1, 3, 84108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 118*b = -123*b - 9, -5*m - b = -15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2192163 is divided by 2700?\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 5:46 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -9*f + 21*f - 7*f - 22 - 6*f. Give t(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -29768755*g. Let i(d) = 3*d**2. Calculate v(i(r)).\nAnswer: -89306265*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 4:15 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 111, 243, 463, 801, 1287?\nAnswer: 1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 10*v**2 - 3*v - 1. Let u be (6\/(-4))\/((-6)\/(-40)). What are the prime factors of t(u)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 56998 = 4*w. Suppose 0 = -42*a + w - 1283. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 + 3 - -4)\/(-2). Let i(n) be the second derivative of 2\/27*n**3 + 1\/6*n**4 - n + 1\/27*n**6 + y*n**2 + 0 + 2\/15*n**5. Determine r so that i(r) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/3 + 4864*a**2\/3 + 11402*a - 48780 = 0. What is a?\nAnswer: -10, 3, 2439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3658560*u**2 + 1863887 with respect to u.\nAnswer: 7317120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2989 + 3331. What is the lowest common multiple of z and 513?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1923089866.\nAnswer: 2, 241, 631, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -9*p**2 + 17\/4*p**4 - 8*p + 1\/3*p**3 + 0. Is f(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 2)\/(0 - (-9)\/4203) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357726518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 + 463*c - 465*c - 109 as a*c + u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 348, 1602, 3752, 6846, 10932, 16058?\n\"Answer: 8*b**3 + 400*b**2 - 2*b - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 9*f + 25. Let q = f - -18. Is q less than or equal to -1\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-20))\/(4*(-9)\/48)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 305*t**2 + 6767*t - 6481. Determine b(281).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - -18. Let j = 56.5 - o. Let k = -1 - -4. What is the nearest to -2\/3 in j, k, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8319180 by -138653.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.1. What is the second smallest value in 4, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1154 - 1121. Calculate the remainder when 592 is divided by i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*z + 377*z - 154*z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) 1 (c) -12156 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of -20*(-4)\/(-24)*-264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -1, 0, 6, 27, -3 in increasing order.\nAnswer: -3, -1, 0, 6, 27, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*g**5*j**3 - 10*g**4*j + 9*g**3 - 40570*g**2*j**3 wrt g.\nAnswer: 1980*g**2*j**3 - 240*g*j + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, -3, -4, 4, 3 in descending order.\nAnswer: 4, 3, -3, -4, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 637 + 767. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 96 = -5*a, -2*a - 2*a + 72 = 4*g. Let r(s) = 10*s - 227. Let j be r(21). Let i = j + a. Solve -3 = i*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33.5 and 4.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 0.3, -1, 8, 0 in decreasing order.\nAnswer: 8, 0.3, 0, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 788\/7 - 748\/7. Let z = b - 27\/28. Find the common denominator of z and 19\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 0, 229808 in decreasing order.\nAnswer: 229808, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 153784621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -172.37 to zero dps.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 4, m: 4, z: 2}. What is prob of picking 1 o and 1 p?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 8) in base 6?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, i: 2, o: 2, n: 3, r: 2}. What is prob of picking 1 j, 1 n, 1 r, and 1 o?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-13)*w)\/(w\/(w*w\/(w**(-10)*w))) assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 42 = 3*p, 2*p - 4*d = -25 - 15. Let r = p + 33\/2. Let k be 1\/(-4) + (-3)\/12. Which is the smallest value? (a) r (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gil when three letters picked without replacement from efefrgieelrf.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - (8 - 5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 less than -18348\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5867278 to the nearest integer?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -81*p + 1220. Determine x(12).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332 and 127899348?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29668 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30911511?\nAnswer: 3, 10303837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*u**2 + 13*u**2 + 20*u**2)*(-22*u**2 + u + 24*u**2 + 20*u).\nAnswer: 96*u**4 + 1008*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*b - 11. Suppose 4*p - 22 = -2*a, -b*a + 4 + 2 = -3*p. What is the derivative of -5*z + 2*z**3 - 1 + a*z wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*n = 20, -2*n = -4*c + 29 + 1. Let f(m) = m - 2. Let t be f(3). Let x be (15\/9)\/((-2)\/6). Sort c, t, x in decreasing order.\nAnswer: c, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Let s = -82 - -127. Let w(r) = 1 + s*r**2 - 2*r - 20*r**2 - 3*r**3 - 20*r**2. Let o(c) = c**3 - c**2. What is i*w(p) - 5*o(p)?\nAnswer: -2*p**3 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 1373726425?\nAnswer: 1373726430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1202*r**4 + 1244?\nAnswer: 4808*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in -2.764, 5, 0.09?\nAnswer: -2.764","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089 times 3?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-352)\/((-88)\/(-11))*-25*(-93)\/1550.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1260)*1 + sqrt(1260)))\/((sqrt(7) - -5*(sqrt(7) + sqrt(21)\/sqrt(3))) + (sqrt(49)\/sqrt(28) - sqrt(7))).\nAnswer: -24*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.45, -5, -2\/23, 5, 2, 0.6.\nAnswer: -7.45, -5, -2\/23, 0.6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*(-9408)\/(-224)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/(-748)*(1280\/(-15))\/(-16).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12240 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.71291 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.043? (a) -2\/11 (b) 1.6 (c) -111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 24567 - 2724 = 0. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d + 5. What is k(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 43*h**2 + 7*h + 34. Determine p(43).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46979, -46981, -46983?\n\"Answer: -2*x - 46977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 953, 2277, 4129, 6509, 9417?\nAnswer: 12853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 888\/60)*(-30)\/(-4) - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 584130, 584126, 584120, 584112, 584102, 584090?\n\"Answer: -r**2 - r + 584132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37170 and 46564.\nAnswer: 123627420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 = h, -h + 0*v + 1 = -3*v. Let o be (5\/(10\/(-6)))\/h. Let a be 8\/(-6)*6\/52. What is the nearest to 0 in -5, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/10*8\/18*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 7*y**2 + 77*y - 10. Determine m(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30380786719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -23 - 17. Suppose 4*q = j + 4, p - 3 = q. Sort 5, j, -4, -3 in ascending order.\nAnswer: -4, -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006673144 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934322331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -266*z + 30. Is n(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3\/2 (b) 2 (c) 0.3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = 0. Suppose -n - 5*o + 480 = g, 3*o - 2422 = -2*n - 3*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 22. Let m(y) = y**2 - 3*y - 60. Let k(q) = 5*b(q) + 2*m(q). Suppose 0 = 2*l + 24 - 6. Is k(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 109*d**2 + 122*d - 364. Determine w(-110).\nAnswer: -1684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 138 (base 16) to base 12\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5679 + 11386. Is 73 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 + 10*p. Let k(j) = -2*j**2. Determine k(n(u)).\nAnswer: -32*u**4 - 160*u**3 - 200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q + q**3 - 14*q**3 + 7*q - 6*q**3 + 8*q.\nAnswer: -19*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11991203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -2 - (3 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*p - 385 = -387, j - 7*p - 16 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + -156?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -z + 1, 4*v - 2*v - 4 = -z. Solve 3*x = 5*a - a - 13, x = -z*a - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-2 + 3)) + (6 - 5) - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 + 5 - (-30 + 33)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3216.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -75*r + 6. What is the tens digit of o(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-2 - -10 - (15 + -24 + 13))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -332 + 297. Calculate the common denominator of (-18)\/(-3)*-5*j\/(-308) and -73\/246.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 6 + (-3 + 0 + 1)*(4 - 3 - 2) + 0 + 1 + 1)*(240*m + 1211*m + 1811*m) to y*m + a and give y.\nAnswer: 3262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**6*(b*(b\/b**(-4))\/b)\/b)\/((b\/(b*b**(-1\/3)*b))\/b*b*(b*((b\/(b*(b*b**(1\/2)\/b*b)\/b))\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5917?\nAnswer: 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**4\/24 - 2*l**2. Let u be q(6). Suppose n = u + 6. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11352443 (base 7) to base 2\nAnswer: 11110101001111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 750494 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/9 + 26)*(-12 + -19)\/31.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11*a**3 + 2*a**2 + 19*a + 52. Does 26 divide f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1176 + -822. Let w = 379 - p. Calculate the highest common factor of 275 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 103*k - 4226. What is w(41)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*g**3*v**2 + 5*g**3*v - 16*g**3 wrt v.\nAnswer: -96*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 39*t + 7*t + 59*t + 5618 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4551345 (base 6) to base 16.\nAnswer: -38b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406238.6 litres to millilitres.\nAnswer: 406238600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-738)\/(7 - 186\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23403 is divided by 11687?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, u: 1}. Give prob of picking 1 u and 3 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 728 = 11*v. Suppose -n = 3*q + 53, n + 3*q = 5*n + v. Let h = n - -69. Solve 4*l = 4*r + 20, 0 = r + 4*l - h + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) - (-44)\/12. Let d = 36 - b. Suppose 4*m = 0, -3*l - 6 + d = -3*m. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22 - 2)*1\/(-36)*-9. Suppose 0 = 5*a, u*k = -4*a + a + 6305. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p + 330 = 0. Let z be (((-5)\/4)\/((-6)\/32))\/((-12)\/(-18)). Calculate the highest common factor of p and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -478*l + 1250. List the prime factors of s(-42).\nAnswer: 2, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, o: 6, h: 2}. Give prob of picking 2 h and 2 v.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 - 11*i + 8. Suppose -3*x = 2*x + 3*l - 22, -6 = -5*x + l. Calculate the least common multiple of 33 and v(x).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 15*b. Let c be w(1). Suppose 0 = -3*d - c - 15. What is the least common multiple of 54\/15 + (-4)\/d and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*(4*(1 + sqrt(605)) + sqrt(605) + 3 + sqrt(605)*1 - (sqrt(605) + -1 + sqrt(605) + -4 + (sqrt(605) - -5*(sqrt(605) + 1)))))**2.\nAnswer: -14784*sqrt(5) + 118512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*s**2*t**2 - 57*s*t**2 + s*t wrt s?\nAnswer: -236*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) -5\/2 (c) -3 (d) 0 (e) -0.868 (f) 0.2 (g) 81\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 40813.97 kilometers?\nAnswer: 40813970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014074032 rounded to four dps?\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23701517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2 + -1 - 2. Let f be 2*4\/((-4)\/a). Calculate the greatest common factor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/10 + 5*p**4\/12 + 13*p**3\/6 - p**2. Let v(u) = 2*u**2 - 3*u - 4. Let n = 33 + -35. What is n*b(w) - 7*v(w)?\nAnswer: -2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l + 116. Let a be f(28). Suppose 0 = -a*r - j + 6659, 2*r = 2*j - 6*j + 3326. What are the prime factors of r?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1) + -1 - -4. Let j = -104 + 128. Suppose -r*d + 3*d + j = 0. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1083, -1692, -2301, -2910, -3519, -4128?\n\"Answer: -609*z - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -401480 in increasing order.\nAnswer: -401480, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -4 (c) 1\/6 (d) 13.4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**3\/3 + 7*d**2 + d - 5. Let r be a(14). Calculate the greatest common divisor of r and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1965416 or 1965415?\nAnswer: 1965415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -49*a**6\/6 + 21*a**5\/2 - 15*a**4\/4 + 38*a. Determine f so that d(f) = 0.\nAnswer: 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:14 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 + 27*r + 156 = 0. Calculate r.\nAnswer: -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 993 or 994?\nAnswer: 993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/((y*y**(4\/9))\/y))\/y)*y\/((y\/y**(-27)*y)\/y))\/(y**(-16\/3)*y*y**(-19\/5)) assuming y is positive.\nAnswer: y**(-739\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*s - 1, -5*o - 1 = -5*s - 16. Let h = -324 - -1939\/6. Let q = 1.8 + -2.1. Which is the third biggest value? (a) q (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 5*y**8\/1008 - y**7\/42 + y**6\/36 + 13*y**2\/2 + 20*y. Let p(a) be the first derivative of n(a). Factor p(w).\nAnswer: 5*w**3*(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n - 2*n)*(35127*n - 35127*n - 334*n**2) as d*n**2 + o*n**3 + l*n + y and give o.\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 19, -69 in decreasing order.\nAnswer: 19, -7, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.83 - 0.17. Let k = -9 - f. Let u = -3 - -2. Sort k, 0, u in ascending order.\nAnswer: k, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 + -41 - 96 - (0 + -1 + -13 + 2)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -3, 1\/2, 0.1, 5 in decreasing order.\nAnswer: 5, 1.3, 1\/2, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c1cd + -3?\nAnswer: 1c1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001105529 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -90. Let k = -47 + l. Let p = k - -14.9999896. What is p rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/2*6\/18. Let l be (-13)\/(-4) - c\/4. Solve -3*k - 9 = -4*s, -l*s = 2*k + k - 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (6 - 22) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7153 + 82?\nAnswer: 7225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.16357?\nAnswer: 0.016357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(2\/8). Let j be y\/8*-2*-4. What is the second derivative of 0*v + 3*v**2 + v**j - v - v**2 wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/(-168)*6 + -3 - -2. Are 362 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*z + 40 = -0*v, 2*v = -z - 20. Let d(j) be the third derivative of -j**4\/24 - 5*j**3\/2 + 9*j**2. Let y be d(-8). Does y = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.991 * 97.1.\nAnswer: 96.2261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43457 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.053 and 5.\nAnswer: -0.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 265390858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/347 and 50\/121?\nAnswer: 41987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccvcmcmmcccccc. Give prob of sequence cccc.\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = 4*d - x, 2*x - 6 = -d. Sort -2, -20, d.\nAnswer: -20, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181822 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139904 is divided by 3893.\nAnswer: 3649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214514527*s**3 - 7792*s + 5376 wrt s?\nAnswer: 1287087162*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 3:37 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 1838 - r**3 + 3684 + r - 1829 + r**2. Calculate v(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*q - 6*q + 3*y, 5*y = q + 15. Solve -8*c + c + 21 = q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -192492*q**4 + 58145?\nAnswer: -769968*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9*h + 748. Calculate q(86).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p - 1. Let x(i) = -10*i**2 + 10*i + 5. Let v(k) = 5*j(k) + x(k). Factor v(b).\nAnswer: -5*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 3*a - 25)*(-2 + 2 - a + 0*a - 3*a + a + (-4*a + a + a)*(2 + 2 - 3)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h**3 + 4. Let z = 19 - 13. Let x(o) be the third derivative of -o**6\/120 - o**3\/6 - 2*o**2. Let s(y) = z*x(y) + m(y). Differentiate s(k) wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 301582716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 30*u**2 - 30*u - 13. Let d(o) = -44*o**2 + 43*o + 21. Give 5*d(l) + 8*w(l).\nAnswer: 20*l**2 - 25*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2290744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*k + 14627, -15*m - 2*k = -11*m - 11704. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.013401 micrograms in kilograms?\nAnswer: 0.000000006013401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(10\/12)*(-87)\/((-368010)\/(-30))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -3*sqrt(78))*3 - (sqrt(78)*-2*-3 + sqrt(78)))\/(-3*-2*(sqrt(6) + sqrt(6) + (sqrt(6) - (sqrt(6) + sqrt(30)\/sqrt(5))))*4).\nAnswer: -13*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 0.6. Let n = 0.5559 + 0.4441. What is the closest to 1 in a, 3.6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157, 224, 291, 358, 425, 492?\n\"Answer: 67*u + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-16 + (-16 - -163) + -13) - -17?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.38 times -2\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(12)\/sqrt(144)*6 - (4*(2*sqrt(363) + 1))**2)*-2.\nAnswer: 1418*sqrt(3) + 46496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40062712759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8*-6.5.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -271 + 648. Calculate the highest common factor of 26 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:36 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231410828 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -6048*j + 6053*j, 4*b + 36*j = 260 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 8 = -w + d, -w + 3*d = 0. Let t(h) = 103*h - 3. Let u be t(w). Let b = u - 95. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 581755*c**3 + 6357*c + 3 wrt c?\nAnswer: 3490530*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -14. Differentiate 0 + d - 4*o - 8 - 3*o with respect to o.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -32, -3\/5, 1\/3.\nAnswer: -32, -3\/5, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 188 - 386 - 3*t**2 + 193 + 20*t**2 - 4*t**2. Let a(w) = 9*w - 4. Calculate i(a(u)).\nAnswer: 1053*u**2 - 936*u + 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/7 + 656*l**2\/7 - 13745*l\/7 - 18386.\nAnswer: -(l - 634)*(l - 29)*(l + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*d - 24, 3*d + 4*y = 4 + 32. Suppose 0 = -q - 3*q - d. Let i(s) = 9*s + 28. Let j be i(q). Solve 5*n + 16 = j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -3) + 25\/1. Let z = i - 2. Calculate the remainder when (2 - -55) + -8*1\/2 is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19887 equal to 19888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140*c**6*y + 2*c**5*y**2 - c**2*y**2 + 1116*y**2 wrt c.\nAnswer: 16800*c**3*y + 120*c**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/68 and 13\/1632.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1335932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 1.9. Let n = 0.1 + 0.1. Which is the smallest value? (a) n (b) j (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4 - l**3 + 2*l + 5*l**2 - 8*l + 8*l. Let d be w(5). Solve -5*q + d = 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 = -677*b + 232. Let l(z) = -5*z**2 - z + 8. Let w(g) = -6*g**2 - g + 9. Let h(n) = 7*l(n) - 6*w(n). Let m(u) = 1. Calculate b*h(i) - 4*m(i).\nAnswer: i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688 (base 9) in base 4?\nAnswer: -110033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -27.4. Which is the smallest value? (a) 2 (b) m (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 y, and 2 g when four letters picked without replacement from gkgqkgqggygqgggyygq?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -200, -406, -604, -794, -976?\n\"Answer: 4*q**2 - 218*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/20)\/9)\/(1\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 559 (b) 1\/3 (c) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 1. Let q(s) = 12*s - 4. What is -q(v) + 5*t(v)?\nAnswer: -7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**3 - 131*c**2 + 30*c - 4. Let x be u(-19). Calculate the highest common factor of x and 21904.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 90819 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(21)\/sqrt(3))*2 + 1 + 4 - ((sqrt(70)*-2 - sqrt(70))*-5)\/(-2*sqrt(160)).\nAnswer: 15*sqrt(7)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 428 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeel when four letters picked without replacement from {e: 5, y: 1, w: 2, l: 5, x: 1, o: 1}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-853 + 867)*(-1)\/(-2)*4\/2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41679 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3*b - 44 = 0, 9153*n + b - 156 = 9158*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) 2 (b) -2\/13 (c) 1\/3 (d) -143\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28*(-5)\/(-4)*330\/(-825)*(-8)\/40\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0265 + -0.635. Round h to 2 dps.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51467159 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/3 - 26*y = 0. Calculate y.\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5923 - -8387. Let o = -1483 + s. List the prime factors of o.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:19 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 + 3. Let h(x) = -9*x**2 + x - 7. Let o(n) = -2*n**3 + 14*n**2 - 10*n - 10. Let i be o(6). What is i*h(f) + 5*z(f)?\nAnswer: 7*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g + 12. Let k(j) = -13*j + 24. Let z(h) = 11*a(h) - 6*k(h). Let i be z(9). Let y = -0.8 + 0.8. What is the biggest value in -0.2, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*m**2 + 47*m - 12*m**2 + 143*m + 347 - 10*m**2 + 1458.\nAnswer: 5*(m + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a. Let h be a - (-1 - (-6)\/4). Let b = 3988\/19 - 210. What is the closest to h in 5, 3\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.80187 rounded to 1 dp?\nAnswer: 61.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**5 + 100*a**4 - 6375*a**3 - 222050*a**2 - 2226400*a - 7109760 = 0.\nAnswer: -23, -8, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4 - 14*u - 5 + u. Let x be s(-1). Suppose 4*w = 2*y - 16, 0 = -5*y - 0*y - 3*w - x. Solve y = -p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -1151*p**7\/42 - p**4\/3 - 208*p**3\/3 - 3*p**2\/2 - 765*p. What is the third derivative of u(w) wrt w?\nAnswer: -69060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -42*w + 47*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 32 = -4*q, -16 = -0*q - 4*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650054 is divided by 394?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3ec (base 16) to base 7\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.6 + 6.7. Which is the biggest value? (a) 1\/6 (b) 5 (c) v (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000643868 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d\/(d*(d**(3\/4)\/d)\/d*d)*d)\/d)\/d**(-3\/13))\/(d**14*d**(-3\/8)) assuming d is positive.\nAnswer: d**(-1159\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.03.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/15)\/(u\/(u\/(u**(5\/3)*u))*u))\/(u*u*u**6*u*u*u**(-8)))**(-5) assuming u is positive.\nAnswer: u**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 4)*(0 + 2*n + 0)*(14 - 14 - 7*n) in the form y*n + l + u*n**2 and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 1\/6*f**4 - 14\/9*f**3 - 15 - 6*f + 5*f**2. Determine q so that x(q) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2708 - 2708.000006421. What is k rounded to 7 dps?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 3*c + 3*c + (56 - 56 - 82*c)*(1 + 0 + 4) + 2 - 2 + 3*c)*(-c - 2*c + 4*c) to i*c**2 + d*c + j and give i.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -21. Suppose s = 3*c - 76 - 149. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.87 - 0.869926. What is w rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 10 = 2*a, -5*o = a - 6*o - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.5 + -42.5. Let l = -49\/114 + 5\/19. What is the second smallest value in m, 1\/9, l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n - 56. Let c be a(-15). Suppose c*q - 24657 = -3883. List the prime factors of q.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 15. Let y be q(-10). Suppose 10*c - 8 = 92. Solve -y*f + f = -4*r - 4, 5*f = c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 27*z. Let h(t) be the third derivative of z*t - 1\/120*t**6 + 0 - 3*t**2 + 0*t**5 + 0*t**4 - 2\/3*t**3. What is the derivative of h(s) wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -212, -462, -796, -1208?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -28. Suppose i + 4 = 3*y. What is the second derivative of t - 3*t**y + 4*t**5 + 0*t wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**3 + 3*f**2 + 2*f + 2. Let w(z) = -4*z**3 - 3*z**2 - 3*z - 3. Determine -3*s(d) - 2*w(d).\nAnswer: -7*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1005 and 56883?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16)\/40 - 74583\/(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z = 93*z - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 0)*2\/(-24). Let k be (-4 + 26\/4)*-2. What is the biggest value in d, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 16 = -5*o + 4, -5*o = -2*f - 23. Suppose -q = -o, 497 + 2428 = 5*j - 2*q. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3572)\/16)\/(-19) + (85\/20 - 5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 32. Let m be n(-32). Suppose 1452 = 4*f - 2*w, m = -2*f + 3*f + w - 357. Is f a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 8*d**2 + 7*d + 4. Let t be x(7). Let w = 16 - t. Let j(z) = -z**2 + 13*z + 8. Let r be j(w). What is the greatest common divisor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 896 = -2*c. Let r be (-2)\/6 + c\/24. Suppose 86 - 1292 = -r*g. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 3*b + 2*b - b + 3*b - 3*b + (-4 + 3 + 0)*(4 - 4 - 2*b) + 7*b - 9*b - 5*b)*(4 - 4 - 2 + (6 + 0 - 3)*(4 + 0 - 2)) to f + n*b and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 197*q - 5663. Give d(35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.86 - 0.04. Let a = o - 0.1. What is the closest to -1 in a, -3, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1286 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/20262 and 41\/25788?\nAnswer: 283668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkddddddk. Give prob of sequence ddd.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8719, -8696, -8671, -8644, -8615?\n\"Answer: p**2 + 20*p - 8740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45 - -29e?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 3*x**5\/4 + 25*x**4\/36 - 65*x**3\/3 + 160*x**2\/3 - 584*x. What is b in f(b) = 0?\nAnswer: -32\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -380786 + 380787 + 79*x**2 + 129*x**2 to the form b*x + w + s*x**2 and give s.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21456, 21377, 21298, 21219, 21140, 21061?\n\"Answer: -79*x + 21535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - 0 - (37 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1835*q**4 + 3*q**2 + 4210*q + 2 wrt q?\nAnswer: 22020*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203522 (base 7) to base 4.\nAnswer: -20201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1, -222.3, -0.5 in descending order.\nAnswer: 1, 1\/3, -0.5, -222.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x + 2*x - 5*p, -4*x - 20 = -p. Let l = -37 + x. Let n = l - -66. Round n to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/8)\/((-15)\/(-20)). Suppose k*l = l. Suppose l = -8*w + 9 + 7. Solve q + 2 = w*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 106 = 24. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 18*n = 102. Calculate the highest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = -36*b + 248 + 138 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 450939 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2 = 6. Let m(c) = -11*c + 22. Let d be m(a). Solve 0*x - 2*x + 2*t - 6 = d, 2*x = -t + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, 5\/1722, 0, 580?\nAnswer: 5\/1722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*t + 8*t. Let p = t + 39. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 3. Let a = -214 - -228. Let x(p) = -p**2 + 19*p - 64. Let z be x(a). Calculate r(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19271 - 1113 - 2741 = -364*z - 561*z for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*q**2 + 146*q + 2766*q + 3075*q + 10.\nAnswer: 2*q**2 + 5987*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1958525 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 635 = 5*d, -4*d + 2*i + 469 = -15. Let r(v) = -119*v + 238*v - d*v. Let k(j) = 15*j**2. Calculate k(r(n)).\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1093 (base 12) to base 4\nAnswer: 130233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -42*z - 369. Let g be s(-7). Let h be g\/(-70)*(-10)\/(-25). Which is the third smallest value? (a) h (b) 14 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 4 (c) -3 (d) -5524\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*n - 11. Let b(o) = o**3 + 11*o**2 - 16*o - 11. Let j be b(n). Let i = 32 + j. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1588, 1585, 1580, 1573, 1564, 1553, 1540?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.135*5.051\nAnswer: -5.732885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.169 minus 7.0706889?\nAnswer: -6.9016889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + ((-165)\/25)\/((-18)\/15 - -2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3399248, -13596988, -30593222, -54387950, -84981172?\n\"Answer: -3399247*b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.32, -2\/11, 3, -2\/33, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15887 - 110323\/7. Let t = 128 - l. Factor 0 - 2\/7*g**5 - 4\/7*g**2 - t*g**3 + 0*g - 8\/7*g**4.\nAnswer: -2*g**2*(g + 1)**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 29. Let n be o(-47). Let v = -16 - n. Factor 6 - 16\/3*z - 2\/3*z**v.\nAnswer: -2*(z - 1)*(z + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((0 + sqrt(363))*4 + 4 + -3)**2.\nAnswer: 88*sqrt(3) + 5804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5716.5 - 5717. Which is the fifth smallest value? (a) 7 (b) t (c) 0.7 (d) 0.5 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 2c03bf4?\nAnswer: -2c03bef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 + 3 = 0. What is the lowest common multiple of y and 8\/(-6)*(-4 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 q when three letters picked without replacement from {q: 2, w: 1, v: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.39 (b) -1\/35 (c) -2 (d) 11 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 15*q**2 - 19*q + 19*q.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/120 + z**4\/8 + z**3\/6 - z. Let j(d) be the second derivative of r(d). Suppose -1 + 1 = -7*m + 104*m. What is j(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjjrj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 - -1) + (0 - 2 - -105)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 10}. Give prob of sequence ll.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*a + 276*a = 558*a + 56. What is the smallest common multiple of 1\/(((-2)\/(-32))\/1) and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4 - 8195*n**3 + 16562079*n**2 + 934176375*n + 3471187500 = 0.\nAnswer: -51, -4, 4125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k - 18. Suppose -k*j = -517 - 2981. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/15)\/(3200\/(-1068) - -3). Let a = 354 - q. Calculate the highest common divisor of a and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-6 - (-10 + 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.103209 + 1.14941. Round x to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12521378 is divided by 12521363.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/7, 9, -914, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3538 + -2000?\nAnswer: -5538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9757 is divided by 265?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2105320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137229711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k - 17*k + 9*k - 14*k to s + u*k and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232046500?\nAnswer: 2, 5, 7, 167, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4594222, -4594223, -4594224, -4594225, -4594226?\nAnswer: -4594227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7854720, 7854564, 7854396, 7854210, 7854000, 7853760, 7853484?\n\"Answer: -f**3 - 149*f + 7854870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*l - 1 + 12*l + 3 - 6*l.\nAnswer: -127*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518.1877 millennia to months.\nAnswer: 6218252.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 29*r + 55 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 71*z + 341. What is l(-66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1baa414?\nAnswer: 1baa40b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**2 - q - 6. Determine j(3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 0 - 1)\/1. Let n(g) = g + 1 - x. Let o(p) = p + 3. Let q(c) = -c - 6. Let v(w) = 2*o(w) + q(w). What is n(v(d))?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 + -1) - (42 - (40 - 13))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 748?\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 323.92?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 4709 - 4670 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 732352139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -0.6.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 100*b**3 - 4*b + 6. Let f(a) = -201*a**3 + 9*a - 14. Calculate 6*f(k) + 14*z(k).\nAnswer: 194*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 20*k = -44. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 12:29 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**8\/336 + g**7\/105 + g**6\/120 - g**5\/30 + 6*g**2. Factor a(z).\nAnswer: -z**2*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(66))\/sqrt(11) + (sqrt(600) - (-1*sqrt(600) - sqrt(600) - sqrt(600))))\/((sqrt(3)*2*3 - sqrt(3))*-2).\nAnswer: -41*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 689*k**3 + 91*k + 91. Let g(w) = -23*w**3 - 3*w - 3. Give 3*d(c) + 91*g(c).\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-24)\/24*-3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 37 = 25. Solve 0*i**3 + 11*i**2 - 36*i**x - 5*i**3 + 10*i**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, v: 3}. Give prob of picking 3 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 848017937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrwwwrrw. What is prob of picking 1 w and 2 r?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87.7059 + -11.3029. Let a = -0.097 - l. What is a rounded to the nearest integer?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 52*f - 2632. Give w(55).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2068 - 195872 = -12*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4433 and -76?\nAnswer: -336908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1052, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 3. Let v(q) = q**3 + 11*q**2 - 11*q + 11. Let m be v(-12). Let k be (3\/(-8))\/(1*3). Sort s, k, m.\nAnswer: s, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -773, -773, -775, -779, -785, -793, -803?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.54829 rounded to one decimal place?\nAnswer: 76.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/1016070 and -49\/46400530?\nAnswer: 139201590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppyyvzvvpvvpvpzz. Give prob of picking 1 y and 1 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5477118.\nAnswer: 2, 3, 912853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 0, 0.01, 5, -0.16 in descending order.\nAnswer: 5, 1, 0.01, 0, -0.16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 360\/179 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 255944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 237, 4, 916, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55658515 by -1.\nAnswer: -55658515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6047, 11280, 16513, 21746?\nAnswer: 26979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*o - 14*o + 270 = 22*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6455 plus 22494?\nAnswer: 16039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.18, -30\/13, -20, -0.4 in descending order.\nAnswer: 0.18, -0.4, -1, -30\/13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 - 630*x + 1971. Let f(c) = 3*c**2 - 631*c + 1956. Let m(o) = 6*f(o) - 5*s(o). Determine q so that m(q) = 0.\nAnswer: 3, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) + 2\/(-5). Suppose -4*f + 174 + 22 = l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 31 = g, -g + 3*g + 18 = 2*v. Suppose 2*j + 4*k + 66 = 0, -2*j - 74 = k - 5. Let a = -13 - j. Calculate the lowest common multiple of v and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28574.72 to the nearest 10.\nAnswer: -28570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 19. Let k be x(-11). Suppose 0 = 2*v - 3 - k. Let j(d) = -d**3 + 6*d**2 - 6*d + 3. Calculate the lowest common multiple of j(4) and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1482 + 1 - (-38)\/(-494)*13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-15))\/((-25)\/15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -42155 (b) 14 (c) 8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.038 + -37.962. Let o = j + 77.08. Let r = -40 + o. Round r to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -20. Suppose 0 = -14*i + 9*i + 110. Calculate the least common multiple of y and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78791 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.3, -8, 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(6\/11))\/(l*l\/(((l**6*l*l)\/l)\/l))*((l\/l**(-6))\/l)\/(l*l\/(l*l**0)*l*l) assuming l is positive.\nAnswer: l**(82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:56 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**5\/20 + 7*v**4\/12 + v**3 - v**2 - v. Let f = 5 + -11. Let c be (-4)\/(-4)*(0 + f). Determine j(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 560.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*j - 465*j = -231*j - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(117) + (5*(sqrt(117) - 1*sqrt(117)) - sqrt(117)))\/(4*sqrt(90)\/((sqrt(90)*2 + sqrt(90))\/sqrt(9))).\nAnswer: 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = 2*m, m + 2 + 3 = 0. Suppose -4*p - 5*b - 33 = q, -p + 5*b + 17 = 3*p. Let f(i) = i**2 + i - 1. Let a(j) = 3*j - 2. What is p*f(c) + a(c)?\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10104*p*t**3 - 2518*p*t + 46*p - 2*t**2 + t wrt t?\nAnswer: 60624*p*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**3\/5 - 171*z**2 - 10611*z\/5 - 24057\/5 = 0.\nAnswer: -9, -3, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goq when three letters picked without replacement from {o: 2, g: 3, q: 2, y: 8}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-35))\/(23*36\/2898)*25.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Let j(f) = 0*f**2 + 3*f**l + f**2. Let o(h) = 4. Let i(g) = -g**2 + 6. Let q(n) = -2*i(n) + 3*o(n). What is q(j(p))?\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000086668358 rounded to 7 dps?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-20)*9\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 10. Suppose -4*i + 3*a + 51 = 0, i + a = 3 + t. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0\/(-1) - (-1 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6409 and 55562?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 4 + -10 + -16 - (11 + -4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 78*s**2 + 2*s + 2. Let l be f(-1). Let a = 162 - l. Let m = -38 + a. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 3*(-2)\/3. Suppose 3*s - 2*s = 0. Let z = 0 + s. Solve z = -q*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 48.8. What is the biggest value in 0, o, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -894 - 4c?\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441502667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 304263066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -37, -59?\n\"Answer: -22*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39.74 - 0.26. Let l = 40.2 + i. Which is the third biggest value? (a) 4 (b) l (c) -1\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2287 is divided by (195\/(-60))\/(5\/(-20)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 - 172*b + 548. Calculate i(-46).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 5*r - 5*r)*(4*r**4 - 6*r**4 + 2*r**2 + 7*r**4).\nAnswer: -5*r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**4\/5 - 1278*p**3\/5 + 29691*p**2\/5 + 155028*p\/5 - 418644\/5 = 0?\nAnswer: -6, 2, 29, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2087 + 4816. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 411 - 409. Let h(j) = -2*j + 1. Let q(f) = -3*f + 2. Let x(n) = 6*h(n) - 5*q(n). Let d be x(l). Solve -4*i + d*i + 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -99, -226, -403, -630, -907, -1234?\n\"Answer: -25*l**2 - 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)\/c)**(-8\/21)\/((c\/(c\/c**(-3\/5)))\/c*c*c**(-6)*c) assuming c is positive.\nAnswer: c**(628\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1488\/11 + -10881\/88. Calculate the common denominator of c and ((-26)\/65)\/((-396)\/6215).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpphhhhppppppxpxh. Give prob of picking 3 h and 1 x.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 1, b: 2, a: 1}. Give prob of sequence bc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3033?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2274)\/(-63) + ((-496)\/(-992))\/(21\/(-4))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112.293us in nanoseconds?\nAnswer: 4112293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.2. Let w = -0.3 + c. Let q be (-240)\/(-504)*6\/5. Sort w, 0.2, q in descending order.\nAnswer: q, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2417*z + 499. Is r(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 421, 761, 967, 973, 713?\n\"Answer: -11*i**3 - i**2 + 420*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 386210053+0.79\nAnswer: 386210053.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (14\/(-21))\/(4\/(-234))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(-49*l**4 - 51*l**4 + 105*l**4)*(2 - 2 - 2)*(3 - 3 + 4).\nAnswer: -120*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(300))\/(sqrt(16) + sqrt(576) + sqrt(16) - sqrt(4)) + -1)*-1.\nAnswer: -sqrt(5)\/75 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j + 18. Let n be 3\/((j\/(-12))\/1). Let z = 73 + -64. Solve n - z = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 6*z. Suppose 3*v - q - 515 = z, 0*q - 863 = -5*v - 3*q. Suppose -6*h + 2*h = -v. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -27. Suppose 36 = 4*p - 4*s, s + 0*s = 2*p - v. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 27*y**2 - 4 + 6.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1.1.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 9*w + 25. Let k be t(-11). Let s(c) = -27 + k*c + 0*c + 2*c. Is s(9) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 514 + -481. What is the lowest common multiple of 44 and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 - 6*a - 113)*(-2*a + 2*a - 2*a) - 2*a + 3*a**2 - 5*a**2 + 4*a**2.\nAnswer: 14*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11096798 and 25?\nAnswer: 277419950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 2\/97, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/52 - (-2)\/4. Solve 0 = -5*b, 0 = h - 3*b + 4*b - q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.07 and 0.3?\nAnswer: -0.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4710.843 days to milliseconds.\nAnswer: 407016835200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9360, -37444, -84250, -149778, -234028, -337000?\n\"Answer: -9361*n**2 - n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11580 + 11580. Solve -y + 3*y - 10*p - 14 = v, 4*y + 4*p + 20 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 6*c - 2*c - 3, -5*l = c + 18. Let t(u) be the first derivative of 2*u**3\/3 + 3*u**2\/2 - 4*u + 7. Let p be t(l). Solve -3*j - 14 = -p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2849.32 - -2935. What is q rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 66*z - 7100. Determine x(108).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 388459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*4\/((-24)\/10). Let m = 45 - 34. Let p(w) = -8*w - 9*w**2 + 0*w + 5 + m*w. Let k(h) = -4*h**2 + h + 2. What is t*k(o) - 2*p(o)?\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 3*v + 1. Let o = -39 - -35. What is w(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 162755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 476 (b) -222 (c) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 25*f. Let s(k) = -5*k**2. What is h(s(o))?\nAnswer: -125*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156 - 200*n**2 + 404 + 405*n**3 - 2*n - 159 - 88 wrt n?\nAnswer: 2430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*((-2)\/(-3))\/2. Let r be -1 + y*5 - -1. Let w be (655\/(-393))\/(20\/(-48)). Sort r, w, -4 in ascending order.\nAnswer: -4, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.939 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -52*s**2 - 16*s**2 + 67*s**2. Let v(k) be the first derivative of 4*k**2 - 1 - 4*k**2 + 0 + 3*k**2. Give v(j(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282654870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from ddvzydqdjyzyzddy?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -605112?\nAnswer: 605101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Suppose -c*m + 5*m = 0. Solve -6 = -2*n - m*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 263601 + 28583. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -4*k**5 + k**4\/6 - 259*k**3\/6 + k**2 + 46*k + 5. What is the second derivative of r(b) wrt b?\nAnswer: -480*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/21 and 7\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100001111000010000 + 101011?\nAnswer: 11100001111000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 6*q = 9*q + 4, 2*h + 3*q = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 879? (a) 1\/7 (b) -5 (c) 0.4 (d) 2\/3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5\/4)\/(u\/((u\/(u*u\/u**(2\/13)))\/u)))\/(u**1\/u)**(5\/7))\/(u**(-3)*u*u*u**(-1\/2)*u**(-3\/7)*u\/(u\/((u\/(u**(1\/6)*u))\/u))) assuming u is positive.\nAnswer: u**(-1093\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*o + 49*o + 6*o + 45*o + 229 - 40*o with respect to o.\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*y = -646, -184*y = -187*y - 21. Calculate the greatest common divisor of j and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 7*a**2 - 84*a + 22. Let d be v(-13). Is d > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1633571837 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3, -270, 0.5, 0.02, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000922349382 to 7 decimal places.\nAnswer: -0.0000922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z, 2*f - z = -5*z + 66. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, -34, -5, 24.5, -0.7 in decreasing order.\nAnswer: 210, 24.5, -0.7, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 2352744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3053*l + 11 = -x - 3052*l, 106*l - 424 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*(-506 + 508). What is the closest to -6 in p, 34, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14.6 (b) 1\/36 (c) -2\/7 (d) -3\/29 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 26 = w. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*x - 4\/3*x**3 + 0 + 2\/3*x**4 - 14\/3*x**2.\nAnswer: 2*x*(x - 4)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/1417 - -1489\/34008. Let k(f) be the third derivative of 0 - 1\/120*f**6 + 0*f - f**2 - 1\/15*f**5 + m*f**4 + 0*f**3. Give k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/6*((-3)\/2)\/(150\/40). Which is the nearest to 2? (a) y (b) 5\/6 (c) -3\/7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a millennium?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4124157839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*h + 39, 14636533*k = 14636517*k - 288 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 9*n - 63. Let l be ((-1)\/(-2))\/(1\/6). Factor 3 + 3 + k**2 + 6*k**2 - 14*k - 2*k**n + l*k**2.\nAnswer: -2*(k - 3)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1981496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 - 15*b**3 + 0*b**2 - 55*b**3 + 0*b**2.\nAnswer: -88*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5 + 11. Let r = x - -7. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -20. Let s(z) = z**3 - 11*z**2 + 3. What is the units digit of s(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/25216522 and 149\/24516.\nAnswer: 1361692188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.85985 - 0.14015. Put d, -91, -0.1, 1\/8, 0.5 in decreasing order.\nAnswer: 0.5, 1\/8, -0.1, d, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 126, 305, 562, 897?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*j**3\/9 + 1117*j**2\/3 + 37453*j\/3 + 4489\/9 = 0. What is j?\nAnswer: -67, -1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -291, -289, -285, -279, -271, -261?\n\"Answer: j**2 - j - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {m: 3, u: 5, r: 4}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -22. Let r be -2 + j\/3 + 10. Is (-2)\/6 + 224\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/20 + l**4\/2 + 5*l**3\/6 - l**2\/2 - 3*l. Is t(6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 677 = -t, -2*s + 671 = -46*t + 47*t. What are the prime factors of t?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 436*t**2 + 890*t - 880*t**2 + 449*t**2.\nAnswer: 5*t*(t + 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**4*z + 5*i*z**2 - 4*i*z + 182*z**2 - 1 wrt i.\nAnswer: -8*i**3*z + 5*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-60))\/((-23)\/(-207))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -44*g - 3. Let t be m(-1). Suppose 5*f = s + 89, 2*f - t = -0*f - 5*s. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r = r - 40 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41261, 82523, 123785, 165047?\nAnswer: 206309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -749460.61 and -11.5.\nAnswer: -749472.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 471*w + 18 - 941*w + 481*w + (-4 - 16 + 13)*(w + 0*w + 0*w) in the form u*w + n and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-42))\/((-120)\/(-1008))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 2440191651 + 1220095833 + 1220095818.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.599 times -0.08\nAnswer: 0.20792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(1539) - sqrt(1539))**2.\nAnswer: -72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2, -0.5, 2277\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 8 - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -17650 in decreasing order.\nAnswer: 5, 2, -17650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlf when three letters picked without replacement from {z: 1, m: 2, f: 3, t: 7, l: 6}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/10 - 9*z**4\/10 + 3*z**3 - 22*z**2\/5 + 12*z\/5 = 0. What is z?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 21*y + 20. Let g be k(21). Suppose -2*n = -5*q + g, 0*q = -q + 2*n + 4. Let d = 7 - 4. Solve 11 = 5*s + 5*z - 4, d*s - q*z = 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10589, 22545, 42471, 70367, 106233?\n\"Answer: 3985*n**2 + n + 6603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610820049.\nAnswer: 3, 7, 449, 64781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -163 (b) 2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = -99. What is the highest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13766236 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**3\/6 - 7*v**2 - 5*v. Give u(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let r(m) = -m + 51 - 27 + 8 + 25. Calculate r(t(u)).\nAnswer: u + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 526632484*z**4 + 654394435 wrt z.\nAnswer: 2106529936*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 plus 42034.72?\nAnswer: 42034.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + 0*r**2 + 4 + r + r**3 - 6*r + 4*r. Determine k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 15 - 2*c**2 - 11.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 - 307169?\nAnswer: -307201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3\/2, -0.72, -5, -4?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from qttyqqggqctgtqyqqc.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11827.\nAnswer: 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 40*k**2 + 6 - 260*k**3 + 774*k**3 + 2 in the form l*k + w*k**3 + s*k**2 + n and give w.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 5925 = 4904. Suppose -17*y = h - 4080. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c. Let s = 0 - -1. Let b be 18\/(-20)*s\/(-3). Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402822279?\nAnswer: 3, 97, 157, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -5*n**3\/2 + 17*n + 11. Let w(z) = -6*z + 16. Let j(u) = u - 3. Let m(a) = -16*j(a) - 3*w(a). Determine m(r(f)).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/9)\/(-12)*-14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 268*r**4 + 11*r + 4. Let y(c) = 2*c**4 - 1. Let h(a) = q(a) - y(a). What is the second derivative of h(v) wrt v?\nAnswer: 3192*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1424\/9 - -158. What is the fourth smallest value in -2\/15, v, 2\/5, -1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**5\/10 - 8*r**4 + r**3\/2 + 97*r**2\/2 + 64*r - 5209. Solve y(l) = 0.\nAnswer: -64, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6520 rounded to the nearest 100?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4495807 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 169685196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 1 v when three letters picked without replacement from {f: 1, y: 1, v: 1, x: 2, n: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b09 - -12?\nAnswer: -1af7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(432)*1 + -5 + -3.\nAnswer: -11 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.08 + 6. Let f = -0.02 + g. Let z be (153\/34*8\/6)\/10. Put 62, f, z in decreasing order.\nAnswer: 62, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by -66.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/209143 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 6*q - 3. Let p be z(-4). Find the second derivative of 3*d**3 + 22*d**3 + 9*d**3 + 71*d - 2*d**p - 2*d**3 wrt d.\nAnswer: -40*d**3 + 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v + 152. Let s be c(-18). Solve 299*j + 6 = s*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2158.99 and -3.\nAnswer: 6476.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 89, 2, -2.1, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736 (base 9) to base 15.\nAnswer: 2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 40*m**3 - 35*m**2\/2 - 35*m - 676. Let a(o) = 10*o**2 - 3*o - 3. Calculate -35*a(r) + 3*x(r).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2)*-17 - (-20)\/(-4). Calculate the greatest common divisor of 60 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14 + 2\/((-10)\/(-25)). Let l be 5 + 37*1\/t. What is the nearest to 1\/4 in -2, l, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5708 is divided by 438.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q, 2*m - 36 = 3*q. Let y(l) = -3 + 12*l**2 - 8 - 2*l**3 + 5 - 14*l + l**3. Let r be y(10). Calculate the highest common divisor of r and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-8))\/(10\/40). Round q to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 + 22*m**2 + m + 7. Calculate w(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12054 - 254.21946. Round k to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -8. Let p = -4206 + 4206. Sort -6, 2, m, p.\nAnswer: -6, m, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/36*-4 - 2548\/(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3441 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*p**3*r**3 - 9*p**3 + 4*p**2*r + 90*p*r**3 - 8*p*r**2 wrt p.\nAnswer: -42*p*r**3 - 54*p + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*q - 12, -q - 8 = 2*d - 4*d. Solve 0 = q*i - 0*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3 + 0)*(0 - f + 0*f + 3) + f - 2*f + 2*f.\nAnswer: -7*f + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/(-42)*(-231)\/1540 and -52\/413.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 20*w - 24*w. Let z be (0 + -5)*w\/5. Sort 5, 3, 1, z.\nAnswer: 1, z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -406\/83, 6, -0.5, 1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 10. Is d at most -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h + 81. Let c be w(-7). Let s(n) = n - 6. Determine s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.58027 + -9409.31973. Round h to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:27 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08264059665 minus -0.208?\nAnswer: 0.29064059665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1280 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 - 6*y**2 + 7*y + 2. Let f be z(4). Let p = -139 - f. Calculate the remainder when p is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77943\/890 or 89?\nAnswer: 77943\/890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 34 in descending order.\nAnswer: 34, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 597 = 2*k, 4*s + 602 = 3*k - k. Is (-10 - -5) + k - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 102.9467590418.\nAnswer: -107.9467590418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 3:17 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3221 is divided by 678?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15020836 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:32 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 8*f**2 - 47*f - 7. Let p be r(12). Suppose 270 = -p*z + 1310. Calculate the remainder when z is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -23. Let d be 20\/f - 3 - 4. Solve 5*m = 10*m + 15, 0 = -5*n + d*m + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 1, d: 5, x: 4}. What is prob of picking 1 i and 1 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*p + 163*p - 493*p - 42*p**2 + 162*p + 2*p**3.\nAnswer: 2*p**3 - 42*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 1\/5 (c) -1\/5 (d) 4 (e) 11387 (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 7. Let g(i) = -5*i - 3. Let p(h) = 6*h + 4. Let z(w) = 3*g(w) + 2*p(w). Let d(m) = m. Let f(k) = 17*d(k) + 6*z(k). Calculate 5*f(b) + 4*u(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 23 = 45*w. Let j(f) = 9*f - 59. Let d be j(7). Put d, w, -147 in descending order.\nAnswer: d, w, -147","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 107*r**2 + 515*r - 525.\nAnswer: (r - 15)*(r - 5)*(5*r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -563 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172512089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, -5, 591 in decreasing order.\nAnswer: 591, 3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85\/17 - 3*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 + -4.01. Let g(k) = -2*k**2 - 30*k + 5. Let x be g(-15). Suppose -x*n = -4*n - 1. Which is the closest to n? (a) -1 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 19, -0.33?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let y(r) = -r**3 + 5*r**2 - 3*r - 4. Let c(j) = 4*j**3. Let f be c(1). Let a be y(f). Let u(p) = 0 + p**2 + a. Give b(u(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -311\/3, 308.\nAnswer: -311\/3, 0.8, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2136319 and 639.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/40)\/(1\/(-2)). Suppose 0 = -0*u - 2*u - 6, -2*g + 9 = -3*u. Let i = -0.2 - -0.2. What is the closest to g in v, i, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h**2 - 19*h**2 + 40*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 857 + -851. Solve -z*x = 9 - 21 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 3, q: 6, e: 2, p: 6}. Give prob of picking 1 e and 2 r.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2368)\/(-111)*1*(-18)\/(-4). Suppose -6*i - d = -126. Solve 0 = 3*f + 2*f - i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219742895 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 + 2*t - 5. Let h(y) be the third derivative of y**6\/120 + 7*y**5\/60 + 2*y**3\/3 - y**2. Let p be h(-7). Calculate l(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/4 - (-1)\/(-4). Let k be (-10)\/n*2\/16. Which is the second smallest value? (a) -0.2 (b) 1\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.4 - -43.9. Let p = r + -38. Which is the third smallest value? (a) 0.2 (b) p (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 169484.1kg?\nAnswer: 169.4841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 = -5*w + 3, 4*b - 4 = 3*w. Let u(n) be the second derivative of 5*n**3\/2 + n**2\/2 - 24*n. What is the remainder when u(b) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57889, -115756, -173577, -231334, -289009, -346584, -404041, -461362?\n\"Answer: 3*j**3 + 5*j**2 - 57903*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -674, 12, 0.02, -4, 44 in ascending order.\nAnswer: -674, -4, 0.02, 12, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -241 + 25*t**3 + 241 + t**3 - t**3 - t**3 + 0*t**3 + 0*t**3 - t**3 + 0*t**2 + 0*t**2 - t**3 + (5*t**2 - 2*t**2 - 4*t**2)*(t + 2 - 2) - t**3 - 3 + 3.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 - 13*l - 4. Let c(s) = 15*s**2 - 27*s - 9. Let r(k) = 4*c(k) - 9*g(k). Factor r(d).\nAnswer: -3*d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 375, 859, 1529, 2379, 3403, 4595, 5949?\nAnswer: 7459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**6\/40 - 43*v**3\/6 - 7*v**2 - 120. Calculate n(0).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2 + 9*w + 16. Let q(k) = 9*k**2 - 19*k - 32. Let t(p) = 11*j(p) + 6*q(p). Calculate the remainder when t(-11) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 9*s - 14. Let f be y(-9). Let k = -16 - f. Let c = k + 7. Solve -c*v = -4*v - 2*w - 7, -5*v = -2*w - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-3175 - 166*x + 3175)*(-6 + 13*x + 6)*(2*x**2 + 0 + 0) to the form n*x**3 + j*x + o*x**2 + y + p*x**4 and give p.\nAnswer: -4316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 545751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -30*m**2 - m + 8. Let j(d) = -19*d**2 + 4. Let n(v) = -7*j(v) + 4*p(v). Let c(x) = 13*x**2 - 3*x + 3. Calculate -4*c(q) + 3*n(q).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 + 351*z - 9. Let d(g) = -g**2 + g + 3. Let w(h) = -3*d(h) - t(h). Find j such that w(j) = 0.\nAnswer: -177, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -8406\nAnswer: 33624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10490.\nAnswer: 2, 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 3*p + 4 = 13*r, -4*p = 2*r + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*z**2 + 9 - 326*z**4 - 134*z**4 - 908*z**4 wrt z?\nAnswer: -32832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z + 16*z - 30*z)*(-z**2 + 3 - 3).\nAnswer: 30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 74*c - 7183. Calculate q(99).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 7:30 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b - 40. Let n(i) = i**2 + i + 8. Let w(v) = 10*n(v) + 2*u(v). Let a(j) be the third derivative of -j**4\/6 - 3*j**2. Give a(w(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -375*u**2 + 134*u**2 - 44*u + 11*u + 2 + 32*u + 27*u wrt u.\nAnswer: -482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.45 - -2.33. Let z = -26 - -8. Let r = z + 13. Put -3\/7, r, t in ascending order.\nAnswer: r, -3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10983679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 10 - 29 - 29*n to s*n + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -584 - -343. Let x = -240 - q. Calculate the greatest common divisor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10932 = -483*i - 4041 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (149*r - 37*r + 87*r)*(-r**3 + 0*r + 0*r) + 4*r**4 + 0*r**4 - r**4 in the form w*r + t*r**4 + x*r**3 + m + q*r**2 and give t.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2919, -3054, -3291, -3630, -4071, -4614?\n\"Answer: -51*s**2 + 18*s - 2886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820441616.\nAnswer: 2, 51277601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -22. Which is the closest to p? (a) 2\/3 (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)*h**(3\/4)*(h**1)**(-2))**(-48) assuming h is positive.\nAnswer: h**204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 7*m + 18. Let d(b) = b - 1. Let r be d(m). Solve 3*t - r = 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from ssasaayaa?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21789113959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1082857428 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*h**5 + 1685 + 11*h - 41*h**5 - 1684 - 2*h**2)*(5 + 2 - 5).\nAnswer: -110*h**5 - 4*h**2 + 22*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/131, 47 in ascending order.\nAnswer: -2\/131, 0.2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 946606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 41 = r + 8, 5*r - 114 = -3*m. Let y = -469 - -475. Suppose -y*o - 4 = -5*o, 3*o - 12 = -3*g. Calculate the remainder when r is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 + -8. Let l = 6 + i. Suppose 0 = 3*c - 6 - 6. Sort c, l, 0.3.\nAnswer: l, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*o - 2*w, 0 = -2*o + 7*o + 4*w - 51. Let l = 0.101 - 0.301. What is the smallest value in l, -3, -0.4, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/4 + 9*t**4\/2 + 7*t**3\/4 - 33*t**2 + 27*t = 0. What is t?\nAnswer: -3, 0, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 3. Suppose -b + 2 = -1. Let z be v(b). Let n be (9\/z)\/(3\/60). Solve 0 = -5*f - n - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let p be i(-3). Let v be (-171)\/(-6) + p\/(-6). Suppose 9*m = v + 8. Calculate the lowest common multiple of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = -257. Let n = 105 - o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 6*j. Let v(z) = -z. Let c(i) = t(i) + v(i). Find the second derivative of c(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-610)\/(-26)*(-4602)\/(-1770).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*-4*(-6)\/24 - -1037?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1354288 and 364616.\nAnswer: 9480016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6009297 is divided by 3631.\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**2 + 18*t**2 - 29*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in 2\/5, -31, 0.1, 44, -5?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 56.9. Let r = o - 1.6. Which is the nearest to 1? (a) -2\/11 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + u**2 - 1. Suppose -o + 8 = 9. Let s be m(o). Let c be 16\/3 - s\/3. Solve 0*r = -5*r + c*i, 2*i = 4*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/564 - 35\/141. Put -6, d, -2 in decreasing order.\nAnswer: d, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 91. Let r be g(-94). Solve 6*i - 10*i + 16 = r*h, -4*h + 12 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 + 3*m**2 + 2 - 15 + 5 - 308*m + 11.\nAnswer: -5*m**2 - 308*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 8*m**2 - 7*m - 8. Let b = 11 - 4. Let p be y(b). What are the prime factors of p\/(-5) + (-4)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.15, -0.2412, 1\/12, 0.08?\nAnswer: -0.2412","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69242202 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14286 divided by -6.\nAnswer: -2381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = 4*o, 0 = -8*d + 3*d - o + 10. Suppose d*s = -2*y - 0*y + 2956, 0 = y + 3. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.5 + -5.5. Let h = 1582718.99997 + -1582709. Let s = h - x. Round s to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Let x(o) = 4*o**2 - o + 1. Let l be x(b). Suppose l*i - 1012660 = 1147340. Round i to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 6*g**2 - 2*g + 6. Suppose -3*s + 3 = -15. Let r be h(s). Let l be 32\/(-14) + (-2)\/(-7). Sort l, 1, r in increasing order.\nAnswer: r, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/9)*q*q**(2\/61) assuming q is positive.\nAnswer: q**(445\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - -4) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -215 and -5.\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -0.3.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8346.\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136\/93 or 2?\nAnswer: 136\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10493.347 - 10517. Round h to zero dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 3*t**2 - 3*t**2 + 5*t**2 - 19*t.\nAnswer: 5*t**2 - 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4 - (-539)\/(-84))*(-10)\/(-47) and -97\/16?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 6*s**2 + 3*s - 6. Let f be h(6). Suppose -5*t + 0*t + 660 = 0. What is the highest common factor of t and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 2\/7 (c) -0.36 (d) -3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93.93 - -22.848. Let b = 71 + t. Let m = b - 0.186. Round m to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51433.57 millennia in decades?\nAnswer: 5143357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {a: 4, u: 1, p: 4, l: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30733 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (58\/174)\/((-2)\/(-249))*2. Solve -76*y = -r*y - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152)*-5)\/(-1*sqrt(968) - sqrt(8)).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2232, -2645, -3062, -3483?\nAnswer: -3908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n**2 + 6*n. Let q(c) = 9*c**2 - 7*c. Let u = -12 - -5. Let p(f) = u*a(f) - 6*q(f). Let y(j) = j**2. What is p(y(d))?\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*x = -608, -16 + 14 = -x. Let i = m - -14120\/23. Sort 10, -2, 3\/5, i in ascending order.\nAnswer: -2, i, 3\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (138\/15)\/2 - 6\/(-15). Solve 2 = -4*t + 2*p - 16, -u*t = -3*p + 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*j**2 - 47*j**2 - 6 + 2*j**3)*(4 - 4 + 1)*(4*j - j + 0*j).\nAnswer: 6*j**4 - 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102.4 + -99.4. Let w = 26 + -20. Sort w, 1\/8, g in descending order.\nAnswer: w, g, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697524684 to the power of 1\/2, to the nearest integer?\nAnswer: 26411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80184, -80181, -80178, -80175, -80172?\n\"Answer: 3*s - 80187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -37*o**2. Let i(r) = -17*r**2 + 7344*r - 5. Determine i(d(f)).\nAnswer: -23273*f**4 - 271728*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-2\/5))\/n**8*(n**0)**(29\/5) assuming n is positive.\nAnswer: n**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19907?\nAnswer: 17, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6363911 times -0.1?\nAnswer: 636391.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -5. Suppose -3*w - 3*n + y*n = 9, 0 = 5*w + 4*n + 24. Let d = -15 - -21. Sort w, d, 1\/2 in ascending order.\nAnswer: w, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7583\/280339 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/3 - 10*j**3 - 1101*j**2 + 243*j - 2. Differentiate l(w) wrt w.\nAnswer: 8*w - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + d = -41, 0 = -s + 55898*d - 55904*d + 7 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20059 by -63.\nAnswer: -20059\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and -6.1528.\nAnswer: -6.7528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**2 + 2*g - 2. Let c(m) = -m**3 + 4*m**2 - 13*m + 20. Let y be c(2). What is h(y)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*(sqrt(153)*4 - sqrt(153)) + 0 - -5*(5 + sqrt(153)*3)))**2*-5.\nAnswer: -7525890 - 222750*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 13*y + 10. What is the lowest common multiple of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -344, -1356, -3042, -5402, -8436?\n\"Answer: -337*n**2 - n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 2*s**3\/3 - 2*s**2 + 4*s. Let g be 2 - (2 - 2) - -1. Determine u(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-4 - 2*c + 4) - 2*c - 2*c + 2*c + 3698*c - 12 + 178*c + 12.\nAnswer: 3878*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 304821*f**3 + 2*f**2 + 586679 wrt f.\nAnswer: 914463*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*r - 21, k + 5*r - 9 + 32 = 0. Suppose 0 = k*h - 46 - 238. List the prime factors of h.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 50. Let a be h(14). Suppose 77 = 23*p + a. Solve p*l - 5*f = 27, -2*l - 4*f + 4 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/21))\/(d\/d**28) assuming d is positive.\nAnswer: d**(584\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 8:56 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = -15*m - w - 3, 19*w - 13 = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -2\/11, 3\/4, 1, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6850, -8291, -9732, -11173?\nAnswer: -12614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 665349120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 2:43 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -213109*u - 23. Let r be f(-5). Suppose 0 = -44*t - 146582 + r. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 44558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 2. Let t be ((-4)\/3)\/((-2)\/6). Let v(y) = y + 4. Let m be v(-5). Sort m, x, t in descending order.\nAnswer: t, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*x - 147*x + 324912. Is x a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317 * 1.5\nAnswer: -475.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 8*p + 7. Let u be ((-12)\/15)\/(2\/(-60)*-4). What is j(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 142 = 5*t + v, 3*v - 12 = 0. Let k(y) = -26 + t - 17*y**2 + 3*y**2. Let a(b) = 3*b. Calculate k(a(q)).\nAnswer: -126*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from eemeeheeiehehe?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/4*-12)\/((-14)\/(28\/15))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 768113258 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, n: 4, m: 5}. What is prob of sequence fn?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 320 - 201. Let t = h - 120. Which is the third smallest value? (a) t (b) -0.1 (c) 10 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1699147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Let r(w) = 2*w**3 + w**2 + 3*w + 2. Let u(c) = r(c) - 4*x(c). What is the units digit of u(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 3, 5, 4, -1, -32\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k + 14. Let h be j(-3). Let x = -12 + 16. What is the greatest common factor of h and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = -3*t + 4, 5*t - 3*l = 13. Suppose 3*a = -5*p + 40, -t*a + 6*p + 35 = p. Let h = a - 9. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2\/11 + 3044*d\/11 + 6096\/11 = 0?\nAnswer: -2, 1524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3457.1 + -3453.6. Which is the smallest value? (a) z (b) 10 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 + 90\/(-70).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 15 = -9*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70466 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 61*g + 545. Give h(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 2409 = -734*a - 2524 - 4019 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-2)\/((-704)\/12))\/((-6)\/(-8)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*d + 5, -3*v - 5*d - 10 - 6 = 0. Solve 4*u = -5*x + x + 36, -v*u + 5*x - 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 + 13*(46 + -48).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 326.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390427280 a multiple of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, f: 15}. Give prob of sequence ff.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 6:20 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -3*d - 6, 5*d = 5*s - 17 + 27 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -211\/94765140 and 83\/4874750.\nAnswer: 2369128500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let g = 3 - 0. Which is the second biggest value? (a) d (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**5 + 159*n**4 + n**2 + 21?\nAnswer: -120*n**2 + 3816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9379, -18763, -28147?\nAnswer: -37531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*f + o - 0, -112*o - 8*o = 600 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101021112 (base 3) in base 2?\nAnswer: -1110101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m\/m**(-9\/2)*m*m)*m))*m\/m**0)\/(m**24\/m)**(4\/11) assuming m is positive.\nAnswer: m**(-283\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1703261423 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(0*b**2 + 7*b**2 + 4*b**2)*(1099 - 1099 + 99*b).\nAnswer: -3267*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -98*u + 1. Let a(d) = 294*d - 2. What is -3*a(z) - 8*n(z)?\nAnswer: -98*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3*r**2 - 2*f**3 + 817*f**2*r**4 - 1483*f wrt r?\nAnswer: 4*f**3*r + 3268*f**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6 + 0*b**2 - 4 + 7*b + b**2 + 3. Let d be j(-6). Let n be ((-5)\/(-10))\/(d\/(-24)). Calculate the greatest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 979.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1241140024 - 53?\nAnswer: -1241140121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0 + 1\/6*w**2 - 2\/3*w = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011011010001 - -11000010?\nAnswer: -1000011000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -712 - -822. Which is smaller: s or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:19 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 5. Let u be q(-7). Let c = -9 + u. Suppose -3*p + 51 - 12 = c. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2572*s - 6*s**2 - 5 + 1276*s + 1288*s - 3*s**3. Let o(u) = 6*u**3 + 13*u**2 + 17*u + 11. Calculate 6*o(g) + 13*x(g).\nAnswer: -3*g**3 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*u**4 + u**2 + 114*u - 65927?\nAnswer: 40*u**3 + 2*u + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2733056071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -403?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**3 + 6*v**2 + 3*v + 4. Let y(f) = f**2 + f + 1. Let x(k) = 9*k + 13. Let l be x(-1). What is l*y(n) - g(n)?\nAnswer: -4*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1446765232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - j - 9. Let v be x(4). Let i(f) = f**2 - 3. Calculate i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -557145 at least as big as -557147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7372596 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 699592\/7 - 99685. Let y = m - 256. Which is bigger: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 u, and 1 o when three letters picked without replacement from uxxuoowqookkuu?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 + 20 = 3*p, 0 = -2*p + x + 35. What is the greatest common divisor of p and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 5\/54*k**4 + 1\/135*k**6 - 2\/45*k**5 + 0*k**2 + 19*k - 2\/27*k**3 + 0. Let w(j) = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 191907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 6*a**2 + 8*a + 1. Let q be n(-7). Let l(r) = -r - 16 + 38 - 9 - 7. Calculate the remainder when 22 is divided by l(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3 - 119020626*r**2 - 118442399*r wrt r?\nAnswer: 12*r - 238041252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*h + 8, -12 = -2*h - 0*h - 2*f. Let k = h + 6. What is the second derivative of -t**5 - k*t + 2*t**5 + 4*t wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 2. Let z(c) = -268. Let h(f) = 982. Let r(g) = 3*h(g) + 11*z(g). Give 4*p(x) - 3*r(x).\nAnswer: -4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5481 and 1701.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -18*x. Let p(i) = -467382*i. Determine n(p(b)).\nAnswer: 8412876*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knn when three letters picked without replacement from kkknkknnnnkn.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -368?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 215820302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 3840?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -12*r**2 - 309*r - 18. Determine h(-24).\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 7*j + 4*j)*(-5884*j**2 + 0*j + 5887*j**2 - j - 80).\nAnswer: 24*j**3 - 8*j**2 - 640*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 7:27 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/25*(-6)\/(-36). Let r(a) be the second derivative of 0*a**2 + a - 1\/30*a**4 + 0 + n*a**6 - 1\/50*a**5 + 1\/15*a**3. Determine x, given that r(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32564\/2326*11\/(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from rrwwmrmcmrm?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1102 + -247?\nAnswer: -1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -569*t - 25004 + 25004 + (1 + 4 - 3)*(-2*t - 2 + 2) + 5*t + 0*t - 3*t + (2 - 3 + 2)*(-6*t + 2*t + 3*t)*(-3 + 2 + 3).\nAnswer: -573*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*v**2 - 9*v**3 - 560*v + 133*v**2 + 560*v.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*f + 11*f + 3*f)*(3 + 0 - 4)*(5*f + 0*f - 3*f).\nAnswer: -78*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*2*-4)\/((-4*sqrt(49) + sqrt(49))\/sqrt(7)) + (((sqrt(17) + 1)*-5 - sqrt(34)\/(sqrt(2)*-2))**2 + 0)*3.\nAnswer: 413*sqrt(17)\/3 + 4431\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 4 + (5733\/42)\/(-21). Let g = 1 - 1.1. Which is the second biggest value? (a) 1\/2 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -635268, -1270538, -1905786, -2541000, -3176168, -3811278, -4446318, -5081276?\nAnswer: -5716140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 54.952+179686\nAnswer: 179740.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 1. Let x(f) = 4*f**3 - 2*f**2 + 7. Let m(a) = 6*d(a) + x(a). Let k be m(1). Let l = -5 + k. Sort 0, 1, l in descending order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 4097?\nAnswer: 4095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8247521, 8247525, 8247531, 8247539?\nAnswer: 8247549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*a - 31*a - 35*a - 5*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 11*j**2 - 28*j - 142. What is s(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + ((-17)\/5)\/(97\/(-485)) + -35.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (-1*-2*sqrt(931) + 3*-1*sqrt(931) - (6*(1*sqrt(931) - sqrt(931)) + (sqrt(931) + 1)*-2))**2)*-4.\nAnswer: 448*sqrt(19) + 14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22121111 + 111220022?\nAnswer: 211111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 4:46 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5\/2 - 69*z**4 + 198*z**3 - 195*z**2 + 129*z\/2.\nAnswer: 3*z*(z - 43)*(z - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5 + 42*a**4 - 178*a**3 + 302*a**2 - 228*a + 64 = 0. What is a?\nAnswer: 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113036.\nAnswer: 2, 7, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 5*m**2 + 0*m**2 - m**2 + m.\nAnswer: 4*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -138 - -46 - -27 - (-144 + -1)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1, -27, -2, -9 in descending order.\nAnswer: 1\/2, -1, -2, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2070\/8)\/((-4)\/(-16)). Suppose -3*h - 4*o = 2*h - 1053, -5*h = -5*o - a. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4ab9 + -19?\nAnswer: -4ad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/5918 and 63\/36584.\nAnswer: 402424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -100*a - 70. Suppose 2*x - 3*h = -28, 3*x - 2*h + 32 = -5. What is the units digit of q(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*k = -360 + 1866 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2. Let f(r) = -98*r**2 - 89*r**2 + 173*r**2. What is c(f(j))?\nAnswer: -980*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 11*n**2 - 19*n - 7. Let z be r(-9). Let u(y) = -9496*y - 5. Let o be u(z). Let w be 1 - o - 4\/(-2). Round w to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1074?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*1*51)\/((-188)\/(12784\/(-204))).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 5 + (1 - 10 - 1)*(0 - 2 + 3))*(-2*v**2 - 3*v**2 + v**2) to the form p*v**2 + h + j*v and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 18262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + f + 6, -2*s - 2*f + 32 = -0*f. Is 10 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.21, -3\/4, 1, 6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-16)*-42*(-4)\/(-6). Suppose j*k - 321 + 104 = 0. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - s - 75 = -261, 5*s = 5*v - 370. Suppose 5*f + 2*h = 111, -4*f - 4*h - 10 + 106 = 0. Calculate the remainder when v is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 25 = -s + 85, -k = 4*s - 300. Suppose 0 = 12*w - 14*w + s. Let n = 44 + -24. What is the remainder when w is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-72)*(-252)\/(-5859).\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -3*u**3\/2 - 27*u**2\/2 + 54*u + 3. Is 7 a factor of p(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + 1 + -1 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/10 and 87\/218.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1120*z. Let c(b) = -7*b. Give c(w(r)).\nAnswer: -7840*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/5 + 17*w**2 = 0. Calculate w.\nAnswer: 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -314\/3 - -106. Find i, given that 1\/3 - q*i**2 + i = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54.9*-3\nAnswer: -164.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 5*q + 3*q - 2*q + (-3 + 3 - 2)*(3*q**2 - 2*q**2 + 0*q**2) + q**2 - q**2 + q**2.\nAnswer: -3*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -48\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prfcrprrzpppppp. Give prob of picking 3 r and 1 z.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(2*sqrt(8))*-2.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 3. Suppose -15*q - 24 = -19*q. Let r(g) = g**3 - 6*g**2 + 3. Let h be r(q). Let z(f) = 2 + 0 - 2*f + h*f - 1. Determine d(w) - 2*z(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5688 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 83*y**2 - 8393*y + 182. Calculate s(142).\nAnswer: -1948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/20196 and -181\/462?\nAnswer: 141372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4303900?\nAnswer: 2, 5, 193, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(1\/6)\/l))\/(l*l**(1\/14)*l*l))\/(l*l**(-5)*l**(9\/5)))**(2\/49) assuming l is positive.\nAnswer: l**(202\/5145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(16287*x - 10445 + 10445)*(1 + 0 + 0)*(-4 + 1 + 2) as l + u*x and give u.\nAnswer: 16287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**2 - 16*n**3 + 12*n**3 - 56*n**2 + 0*n**2 - 56*n**3 in the form k + q*n**2 + p*n + b*n**3 and give q.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = 4*j - 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 11 + b + 11 + 1.\nAnswer: b + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3))**(-12)*(w**0)**(-2\/135) assuming w is positive.\nAnswer: w**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + -20020020?\nAnswer: -20012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19868 divided by -1?\nAnswer: 19868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 7\/(-4))\/(129\/(-1376)). Solve -6*b - c*b + 42 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62293351?\nAnswer: 62293351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128860743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4830*a**2. Let m(r) = -6*r + 26. What is m(g(c))?\nAnswer: 28980*c**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*g**4 + 27*g**4 + 7*g**5 + (-111*g - 28*g**5 + 111*g)*(1 + 1 + 0) - 2*g**5 + 2*g**5 - g**5 + (4*g**3 - 2*g**3 - g**3)*(5*g + g**2 - 5*g).\nAnswer: -49*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + 2*n**3)*(-1537*n**2 - 167*n**2 - 171*n**2 + 149*n**2 - 1560*n**2).\nAnswer: -6572*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 37 = -4*v. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8))**(3\/5)*(i*(i\/(i\/(i*i*i**(2\/3))*i))\/i)**(-14))**(-8) assuming i is positive.\nAnswer: i**(3376\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - sqrt(220)\/sqrt(44))\/(6*sqrt(8)\/sqrt(2)))**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 800 + 455 + 459 = 16*a, 4*a + v + 34 = -4*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1276, -2555, -3832, -5107, -6380, -7651?\nAnswer: -8920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q**2 - 3*q**4 - 21*q**2 + 21*q**3 - 11*q**2 + 10*q + 0*q + 14*q = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (927\/3399)\/(51\/2992).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 12 + 38. Let q = -14 - 2. Let m = q + i. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 123?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, 5, 1\/10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 262 and 21746.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 + 301*i - 3*i**3 + 0*i**3 - 297*i - 6*i**2. Give g(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -5. Which is the third smallest value? (a) n (b) -2\/9 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.01, -3, 2 in ascending order.\nAnswer: -3, -3\/4, -0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Suppose -u = -4 + 1. Let -j**2 - 38*j**u + 5*j**2 + 2*j**5 - n*j**4 + 36*j**3 = 0. Calculate j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -279 + 5?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4659985.\nAnswer: 5, 11, 193, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*z**5 + 12*c**2*z**3 + 7*c**2*z - 3*c*z + c wrt z.\nAnswer: -20*c**2*z**3 + 72*c**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 26*j**2 + 62*j - 52. Determine h(-22).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3375600 (base 8) to base 4\nAnswer: -3133232000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/9 (b) -9\/5 (c) 6.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.61 + 0.634. Let k = u + -0.024. Let s = 25.25 + k. What is s rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 140 = 11*q - 13*q, 2*q = -b - 155. Which is greater: -0.1 or q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 31. What is the remainder when 0 + (-2 - s) - -1 is divided by (-4 - -2) + 11 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2546630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 4, -2\/215 in ascending order.\nAnswer: -1\/9, -2\/215, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 4*q**5 - 7*q**5 + (2*q**5 + 0*q**3 + 0*q**3)*(-3 - 2 - 1) + 1 - 1 + 4*q**5.\nAnswer: -10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2330*y - 1544. List the prime factors of h(6).\nAnswer: 2, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 0, -18, -46, -84?\n\"Answer: -5*x**2 + 7*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1960)*-3*5)\/(6*(sqrt(512) + (sqrt(512) + sqrt(512) + (sqrt(512) - -2*sqrt(512)))*1)).\nAnswer: -35*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -118.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21d - -9da?\nAnswer: bf7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 446348 (base 12) to base 10\nAnswer: 1089128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-386)\/772 + (-130469)\/(-2)?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**5 + 516*h**4 + 43484*h**3 + 738204*h**2 + 695240*h = 0.\nAnswer: -35, -26, -1, 0, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*v**2 - 60803 + 60805 + 13*v**2 - 53*v)*(2*v**2 + v - v) + 0*v**2 + 0*v**2 + 3*v**4.\nAnswer: -89*v**4 - 106*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 36. Let m = 1.7 - n. Which is the third biggest value? (a) m (b) 2\/5 (c) -5 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103371637800 rounded to the nearest 1000000?\nAnswer: 103372000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 19*z + 15. Does 10 divide c(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5867.\nAnswer: 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 13 + 2 + -23 + (-12 - 31).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(-2*r + 28*r**2 + 0*r + 3*r**2) - r**2 + r - 5*r - r**2.\nAnswer: -95*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g - 17. Let r(d) = -8*d - 11. Suppose 25*n + 18 = -107. Calculate n*k(o) + 8*r(o).\nAnswer: -4*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q - 52747 = 499343. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by 5.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n + 21. Let v be o(-5). Let u = 3 + 0. Suppose -u*x = -v - 3. Solve -1 = c, 3*c - x = 3*f - 0*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*l, 3*u - 1 = -0*u - 4*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3400417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - 3*d**3 + 0*d**3 + (d + 6*d - 5*d)*(-2*d**2 + 5*d**2 - 2*d**2) + d**3 - 4*d - 2 + 4*d.\nAnswer: -d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 11 (b) -1\/11 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 21*h**5 + 1098*h**4 - 1221*h**3 - 22698*h**2 - 6360*h = 0.\nAnswer: -53, -4, -2\/7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-624483)\/(-26793) - 23\/1?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + (-6 - (51 - 101)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 2:17 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aararairraabbzbaiii. Give prob of picking 1 r and 1 b.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*l + 1145, -211 = i + 2*l + 32. Let p = 237 + i. Solve -h + 5 = -4*n + 20, -45 = -5*n - p*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 399 - (2 + -5)*-1. Suppose -t = -s + 4*n, -8*s + 4*s + 1532 = -3*n. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55b + -259?\nAnswer: -7b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29822?\nAnswer: 2, 13, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127 + 19*w**2 - 61 - 68 - 31*w wrt w?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*f + 156 = -111*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -49)*448\/2688\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let j(o) = 11*o - 25. Let n(p) = j(p) + 2*w(p). Let x be n(3). Solve 2 = -d + x*u - u, 2*u = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7477003*m**3 - 3*m**2 + m**2 - 7477000*m**3 + 5. Let n(y) = 3*y**3 - 3*y**2 + 6. Determine -6*n(c) + 7*q(c).\nAnswer: 3*c**3 + 4*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3536548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.34 - 0.34. What is the closest to 2\/7 in -1\/6, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 2*c + 1. Let i be y(-2). Suppose i*k + 0*t = 2*t + 69, -k + 4*t = -3. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -4*r - 1\/5*r**4 - 3\/100*r**5 + 0 - 1\/2*r**3 - 3\/5*r**2. Factor i(h).\nAnswer: -3*(h + 1)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -195080 >= -5462201\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = t, 2*x = 6*t + 3*x + 38. What is the third biggest value in -1, 1\/10, t, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -273*r + 270*r - 1 + r**2 - 1. Calculate b(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**9\/3780 + h**7\/504 + h**4\/3 + 2*h. Let b(t) be the third derivative of l(t). Find the third derivative of b(c) wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 21. Let w be t(-17). Sort -3\/5, 2\/5, w, -5 in increasing order.\nAnswer: -5, w, -3\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-2)*(3\/252)\/(6\/24)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(-3*sqrt(7)))\/sqrt(12)*4.\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/15745 and -73\/4469235.\nAnswer: 210054045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 116.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 4*d - 62530. Let x be 10*13347\/8*-4. Let g = x + d. Round g to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o - 34 = 0. Let l be (-3 - -1)\/(12\/18). What is the remainder when 32\/3*(6 + l) is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 417, 629, 841?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.8 - 6.9. Sort 0.1, -3, j in decreasing order.\nAnswer: 0.1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17921*w - 17921*w + 3*w**2. Let d(a) = 257*a + 1. What is d(i(h))?\nAnswer: 771*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 329340 (b) 1 (c) -2\/15 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {x: 1, h: 5, d: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6222990598 - -1.6\nAnswer: -6222990596.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*a. Suppose -a*y = -0*y - 346. Suppose 0 = -3*r - 23227 - y. What is r rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 39909*v + 39912.\nAnswer: -3*(v - 1)*(v + 13304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 6 - 17*r)*(8*r**2 - r**2 + 0*r**2) to j*r**2 + d*r + v + h*r**3 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10126 + 33?\nAnswer: -10063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*r**4\/2 - 535*r**3\/2 + 543*r**2\/2 + 535*r\/2 - 2 = 0 for r.\nAnswer: -1, 4\/539, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95224719 a multiple of 1794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y + 0*y)*(y + 5*y**2 - y + (-1 + 3*y + 1)*(5*y + 4*y - 5*y)).\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-26)\/(-39) - (-77)\/(-99))\/((-1)\/12). Which is the second smallest value? (a) 95\/8 (b) u (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 226.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b + 12. Let s(c) = -c - 1. Let t(n) = l(n) + 6*s(n). Let k be t(-4). Solve -k*j + 3*o - 18 = -4*j, 0 = 5*j + o - 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbrlbr. What is prob of sequence qlb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13224)\/(-28) + 2\/(-7). Suppose -4*o + l - 20 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -78, -84, -92, -102?\n\"Answer: -i**2 - 3*i - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -1 + (sqrt(475)*2 - sqrt(475)))**2 + -5*5*sqrt(1539).\nAnswer: -251*sqrt(19) + 3212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.28. Let k = a - 0.08. What is the second biggest value in -5, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(187)\/sqrt(176))**2.\nAnswer: 85\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/(-290) + (-28)\/(-10))*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125919 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.5 (c) -11 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - (42 - 74) - (6 - 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123654915 divided by 4105.\nAnswer: 30123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1700)*3 + 0 + 3)**2.\nAnswer: 300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44634982 and 26005?\nAnswer: 5201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 + 2))*(194 - 253) + -12.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*t = -212*t + 12782 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*v + 13349, -5*n + 14*v = 12*v + 16682. Does n = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 411231, 822471, 1233711, 1644951?\nAnswer: 2056191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 + -0.26. Let f = -0.31 - -0.01. Let d = f + -0.2. What is the second smallest value in d, v, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*k = 89*k - 4060 + 24244 for k.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 2:49 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r**3 - 20*r**2 + 5*r - 25. Let y(f) = f**3 + f**2 - 7*f - 1. Let w(s) = t(s) - 5*y(s). Find c such that w(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 4836?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/20 - 0) + 7\/70.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 8) in base 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26388 or 4512403\/171?\nAnswer: 4512403\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*h**3 + 51 - 17 + 55*h**3 to the form s*h**2 + i + g*h + r*h**3 and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n + 720 = 0. Let r be 6\/(-10) + (6 + 3 - 3807\/(-45)). Let h = r - n. List the prime factors of h.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102241, 408954, 920143, 1635808, 2555949, 3680566, 5009659?\nAnswer: 6543228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0 + 4. Let o(i) = 2*i - 6 + 18 - 14. Determine o(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24903*l**3 - 152*l**2 - 5775*l - 20786 wrt l.\nAnswer: -149418*l - 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (132\/49 - 2)\/2 and (-22)\/(-99) + ((-52679)\/(-4851) - 10)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 37, 59, 81, 103?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -446.231 + -5.95?\nAnswer: -452.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 869895 and 1170.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/20)\/((-1)\/8). Calculate the remainder when (-6 - b) + 116 + 1 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80 + 3*f**3 - 81 - 26*f**3 - 17*f + 163 wrt f.\nAnswer: -138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45\/4 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -188+-18598263.9699\nAnswer: -18598451.9699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5243 - 5242. What is the smallest value in -10\/3, v, 2\/21, 0.3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474686 is divided by 161?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*i**3\/6 + 91133*i**2\/2 + 26036*i + 11158\/3 = 0. What is i?\nAnswer: -5579, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-10\/9)\/c**20 assuming c is positive.\nAnswer: c**(-190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 74013.466 rounded to the nearest 100?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 58216 and 58217 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12.682548 microseconds?\nAnswer: 0.00000000014678875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-11)\/(-11)) + 2. Solve 4 = -4*k - 5*b, c*k + 2*k - 5*b + 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 962 + -966. Let p(m) = -m. Let s be p(-5). What is the second biggest value in s, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85908 is divided by 4289?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 - -5 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let i be f(0). Suppose i*k + k = 3*y + 72, 5*y = -20. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/5 + 15004*w + 11654448\/5 = 0 for w.\nAnswer: -37354, -156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367350.\nAnswer: 2, 5, 23, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -47, -63, -75, -83, -87, -87?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2. Let o(a) = -8*a**2 + 3*a. Determine o(u(h)).\nAnswer: -32*h**4 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/163 and 2426 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - z + z + 1 + z - z**2. Let g be n(2). Let d = 1 - -2. What is the closest to g in 0, -0.5, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, 348, 958, 1682, 2526?\nAnswer: 3496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 109489348, 109489347, 109489346?\n\"Answer: -x + 109489349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - v + 3*v)*(-1240*v**2 - 33801 + 33801).\nAnswer: -2480*v**3 + 1240*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (((-264)\/(-3))\/(-4) - -14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19156453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.152226\nAnswer: -0.608904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3858 divided by -1286.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/7 - 205840*d\/7 - 258877200\/7.\nAnswer: -4*(d + 1290)*(d + 50170)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = -2. Suppose 3*m + 15 = 3*k, -z*m + 2 = -3*m. Suppose 8*t = k*t - 15. Which is the second biggest value? (a) -0.5 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 356 and 12371?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*f - 317*f - 7288 = 212 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21\/8, -1.3, 3\/4?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 523 - 55. Let s = t - 19. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*j*u**2 - 49*j*u*w - 3*j*u - 45*j*w + u**2*w + 2271*u**2 - u - 2*w - 1 wrt u.\nAnswer: -84*j + 2*w + 4542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*v - 360*v = -80 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1848 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 u when three letters picked without replacement from {v: 9, l: 3, u: 4}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20424730091 + -0.4\nAnswer: 20424730090.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5722 - -5733. Let a(z) = 4 + 3*z**2 + 3*z**2 - 7*z**2 + 7*z. Let t be a(p). What is t rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b**2. Let m(s) = 2*s + 7. Give a(m(c)).\nAnswer: -52*c**2 - 364*c - 637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + n - 1. Suppose 4*y - 79 + 9 = 5*i, -2*i - 3*y - 5 = 0. Let k = 11 + i. Give w(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 11:59 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/3 + 3494*k\/3 + 12892 = 0. What is k?\nAnswer: -11, 1758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (484*o + 45*o**2 - 484*o)*(-21 - 15 + 46).\nAnswer: 450*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 174 - 158. Solve -3*z = -z + c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 8789790.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.5 - -34.8. Let j = r - -13. Let i = -2 - j. Are 4 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c - 13*c + 6*c + 0*c + 0*c + 2*c + (c + 0 + 0)*(0 + 2 - 1) - 4 + 3*c + 4)*(-c**3 + 0*c**3 + 0*c**3).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8183121 divided by -34239.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/30 + (-1)\/10*-58774. Let a = t - 4077. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {z: 1, q: 1, s: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, b: 1, w: 7, r: 3}. What is prob of picking 1 b and 3 t?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2265 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - 6*m**3 - 3*m**3)*(-4 + 6 + 4).\nAnswer: -66*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19471 is divided by 810.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*z - 23. Let i(v) = 11*v**2 - 17*v - 27. Let p(u) = -5*u**2 + 9*u + 14. Let n(b) = z*p(b) - 4*i(b). What are the prime factors of n(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcsrgchsgcgcshghhc. Give prob of picking 1 s and 3 g.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*y**3 + 93852*y**2 + 39371904*y.\nAnswer: 636*y + 187704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239786271 - 4*o**2 + 239786271.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -8*v + 3*v + 1299881, -3*v + 779919 = -3*m. Suppose 6*l = l - 2*s - 324990, -4*l = 5*s + v. Round l to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - b + 2. Let s(u) = 1. Let c(q) = -2. Let y(p) = c(p) + 3*s(p). Suppose -5*l = -20, 0*i - 2*i + 14 = 2*l. Give i*y(v) - x(v).\nAnswer: -2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178707 and 4473.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.336 + 0.335348. What is j rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*w**2 + 26*w**2 - 2*w**2)*(23*w**2 + 16*w**2 + 5*w**2) to m*w**4 + o*w**3 + r + f*w + j*w**2 and give m.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2102022 (base 3) to base 10\nAnswer: -1763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -3) + -3 - 1. Let k(j) be the first derivative of m*j**2 - 1\/15*j**5 - 1\/3*j + 0*j**4 + 1 + 2\/9*j**3. Determine b so that k(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089929149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 - 49 = -3*b. Suppose -4*t = -0*t - b. Suppose -x + t = 2. 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 130 minutes after 5:39 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 1 + 8. Suppose -d = 2*d - w. Let k be (45\/(-570))\/(((-243)\/36)\/9). Which is greater: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20009, 19950, 19881, 19796, 19689, 19554, 19385, 19176?\nAnswer: 18921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5432\/2910*(-210)\/441.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3985 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11637 - -11661. Which is the nearest to p? (a) 3 (b) 1.3 (c) 5 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -552254\/35 + 87812\/5. Are 1784 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 3*d**2 + 3*d**2. Let m(t) = 8*t. Give m(k(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17.09128, -5 in ascending order.\nAnswer: -5, -3, 17.09128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 269496 and 56736?\nAnswer: 1077984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1291931*n**3*o - 361*n**2*o + 502*n**2 - 2*o wrt n.\nAnswer: 7751586*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 490, 890, 1274, 1642, 1994?\n\"Answer: -8*i**2 + 424*i + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12 + (-115)\/(-30). Suppose 3*u - 5*d = 33, 3*u = -u - 5*d + 79. Suppose -u = -k*y + 44. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 - 35126*u - 4*u**2 - 268 + 2*u**3 + 35126*u + u**3 as t*u**2 + r*u + m*u**3 + k and give k.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17221 + 17220.895. What is the nearest to 36 in -2, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1026469, -1026488, -1026511, -1026538, -1026569, -1026604, -1026643?\nAnswer: -1026686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 11*x = 7*x - 1078, -x = -h + 215. Suppose 62 = 4*g - h. What is the highest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -343146 + 343177. Let h = 238 - 145. What is the highest common factor of c and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*t - 25*t**2 + 528 + 26*t**2 + 600*t - 543 in the form r*t**2 + q + v*t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 688 (b) -0.7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14598, -29195, -43792?\nAnswer: -58389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -104?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9*(0 + -3)*181\/(-543)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -46927\/4 (b) -1\/10 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -3*s. Let v = -26071\/234 + -88\/117. Let d = v + 112. Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 4104540400?\nAnswer: 4104540405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 1673, -4, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/4 - 21*y**4\/2 - 3011*y**3\/2 + 33006*y**2 + 9646821*y\/4 + 36036009\/2 = 0. What is y?\nAnswer: -58, -29, -9, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 2. Let t be g(14). Let n = t - 38. Let s be ((0 - (-2 + n))\/(-1))\/(-1). Solve 2*i - 4*i - 8 = s, 28 = -4*l - 5*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**4\/6 + 11*b. Let r(y) = 65*y + 11. Let m(n) = -16*n - 3. Let j(z) = -22*m(z) - 6*r(z). Give v(j(f)).\nAnswer: -2888*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2212 + -2221. Which is the closest to 2? (a) -1\/5 (b) l (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(378))\/(-6*sqrt(96)) + sqrt(7) + (4*sqrt(700) - sqrt(700))**2 + (sqrt(14)*4)\/sqrt(2).\nAnswer: 19*sqrt(7)\/4 + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5*p + 18. Suppose 2*v = -2*w + 1 + 3, 5*v - 3*w = p. Let i = 7 + -2. Solve 0 = i*y - 10, -r = v*r - 5*y - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34651383, -69302735, -103954087, -138605439, -173256791, -207908143?\nAnswer: -242559495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 211581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 72698.85 microseconds?\nAnswer: 0.000000120203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 752597*f**3*u**2 - 206*f**3 - 82*f*u wrt u.\nAnswer: 1505194*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(3\/5))\/v*(v**(1\/4)\/v)\/v*((v*v**(-3))\/v)**0 assuming v is positive.\nAnswer: v**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283067188\/3 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*i**6 + 432886*i**3*x**2 - 215*i**2*x**2 + 2*i**2*x + 67*i*x**2 - 8 wrt i.\nAnswer: 1440*i**3 + 2597316*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**3\/6 - 22*c. Let l(m) = 49*m**2. Give o(l(n)).\nAnswer: 49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 2*r**2 + r + 2. Let u be i(0). Differentiate -29*n**3 - 62 - 342*n**u + 342*n**2 wrt n.\nAnswer: -87*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.6 take away -127?\nAnswer: 172.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(3\/(12 - 3)). Is 27 a factor of (-3*1\/f)\/(2\/324)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2 - 3623*v + 10859. Calculate r(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -213031000 (base 4) in base 16?\nAnswer: -27340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eehhjjejlleee. Give prob of picking 1 l and 2 h.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 minutes after 9:30 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 700327.7 grams in nanograms?\nAnswer: 700327700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 55476 times 1.25\nAnswer: 69345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 190 - 190 + 566 - 186.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35895*s = 37570*s + 162475 for s.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.106? (a) 0.08 (b) -16 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a**3 - a - 1. Let c(q) = 2*q + 13. Let p be (54\/45)\/((-1)\/5). Let u be c(p). Suppose -g + u = -2*g. What is x(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, 40, 435, 1074, 1957, 3084, 4455?\nAnswer: 6070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 14*h**2 - 16*h - 6. Let l be j(-15). Suppose i + 2*i + l = 0. Put 13, 2, i in increasing order.\nAnswer: i, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -12*h + 0 + 0 + 5. Let c be k(-4). Suppose 0*v + v - 4*o = c, 5*o - 140 = -5*v. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8480*c**5 - 960804*c**4 + 1652182*c**3 - 388722*c**2 - 293486*c - 690 = 0 for c.\nAnswer: -115, -3\/10, -1\/424, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(204))\/sqrt(12) + -3*(3 + sqrt(425))**2.\nAnswer: -1302 - 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 106*z**2 - 104*z.\nAnswer: -2*z*(z - 52)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -119607.191 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 744 = -15*o. Calculate the least common multiple of o and 9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5 = -n. Suppose 4*u + 1 - n = c, 5*u - 18 = -2*c. Which is smaller: u or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188 + 239. What is the greatest common divisor of y and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.749513 decades in millennia?\nAnswer: 0.08749513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 68155*m. Let g(h) = -2*h + 13. Determine g(c(b)).\nAnswer: -136310*b + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6077105 is divided by 99624?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773679477?\nAnswer: 3, 73, 229, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5896 and 1144?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3112663, 3112632, 3112601, 3112570?\nAnswer: 3112539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1611, 5, 13.\nAnswer: 5, 13, 1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 85935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 0, -3*n = -6*z + 9*z - 363. Let a(q) = q**2 - 3*q + 4. What is the remainder when z is divided by a(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 8. Let k = -21 + h. What is the second biggest value in k, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 3 + 108 - 52\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/14 - 2*c**3\/21 - c**2\/7 + 27*c. Factor b(h).\nAnswer: 2*(h - 1)*(3*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 51*d**3 + 201 - 66 - 9*d + 0*d - 65 - 73.\nAnswer: -53*d**3 - 9*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 + (4\/1 - 1). Let l(g) = -g + 3 - h + 7 - 1. Give l(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73822706*m - 1685997?\nAnswer: -73822706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 15*m**2 - 339*m - 33063. Give f(-37).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68*v**4 - v**3 - 537*v + 8153 wrt v.\nAnswer: -272*v**3 - 3*v**2 - 537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*p + 9*p**3 - 4*p**4 - 104042*p**2 + 104037*p**2 + 3*p**4 to the form g*p**3 + x*p**4 + s*p**2 + f*p + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-288)\/10)\/(27\/(-90)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 20\/9, 5, 1318, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2 + 10*k + 10. Let u(p) = p**2 - 1. Let g(y) = t(y) - 5*u(y). What is the remainder when 28 is divided by g(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = -2*n - 26, -3*n - 9 = v. Sort -2, 0, -11, v in ascending order.\nAnswer: -11, -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/3, 2\/47, 2086?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i + 26. Determine n(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18106.57 + -0.233.\nAnswer: -18106.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 261.94 - 267. Let k = c - -2.06. Let j = -8\/45 - -371\/2340. Is j at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*o - 2, 0 = -o + 4*b + 37 - 68 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:05 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004611638754 rounded to six decimal places?\nAnswer: -0.000461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.078742 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 19. Let f(h) = -h + 4. Let z(y) = -11*f(y) - 2*t(y). What are the prime factors of z(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 5:52 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 43*r + 100. Give v(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.488 rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 11*t - 248. Let q be i(19). Suppose -h + 3*k + 259 = 4*h, -k + 108 = 2*h. What is the highest common divisor of q and h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 0*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q**3 - 29*q**3 + 127*q**3.\nAnswer: 156*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 538025075 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434302836 is divided by 336.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**0*t)\/t)\/t)**(1\/2)\/((t\/t**1*t)\/t)**(1\/11))**(-31) assuming t is positive.\nAnswer: t**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143455 + -6359.18.\nAnswer: 137095.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51451289 is divided by 158.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184612107 a multiple of 1251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - c + 1. Let j(y) = -33*y**4 - 12*y**3 + 6*y**2 + 12*y - 12. Let d(r) = -j(r) - 12*z(r). Find the third derivative of d(x) wrt x.\nAnswer: 792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/7 + 16428*z**3 + 1652779994*z**2\/7 - 944642856*z + 6612960008\/7.\nAnswer: 2*(z - 2)**2*(z + 28751)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 * 0.098.\nAnswer: -0.03234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 165, 326, 517, 750, 1037, 1390?\n\"Answer: 2*d**3 + 3*d**2 + 138*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01037 to four decimal places.\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2 + 210*j - 1338 wrt j.\nAnswer: -2*j + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 9*u**2 - 17*u - 33. What is p(-10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -245.07 - -244. Let h = m + 0.93. Is 4 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2252, 2462, 2678, 2900, 3128?\nAnswer: 3362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2467676?\nAnswer: 2, 71, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5770, -5686, -5572, -5428, -5254?\n\"Answer: 15*s**2 + 39*s - 5824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve c + 761 - 759 = 2*p, -8 = 4*c - p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 1014540 = -9*g + 3*n, 2*g + 4*n - 676366 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13342683 a multiple of 1623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l**(-1\/3)*l\/l**(-1\/5)*l**1\/l)**33 assuming l is positive.\nAnswer: l**(-242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2217 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -505, 286, 1583, 3368, 5623, 8330, 11471?\nAnswer: 15028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3\/2)*d)**(12\/11)*(d\/d**(-2\/59))\/((d\/(d*d**(-3\/4)))\/d))**(-7\/4) assuming d is positive.\nAnswer: d**(-33243\/10384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1009502 and 88478?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - 28) + (-8 - -2) + (-2 - (6 - 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.0709 + -0.0709. Which is the second biggest value? (a) m (b) 0.04 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 13*f**3 - 12*f**2 + 10*f**2 - 2 to y*f**2 + z*f + p + k*f**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 514, 513, 512?\n\"Answer: -i + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1870 and -71\/374.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -77949700 rounded to the nearest 100000?\nAnswer: -77900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 200304335?\nAnswer: -200304354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 67*c - 69*c. Let a(h) = -5*h**3 + h**2 - 4*h - 2. Let m be a(c). Suppose -5*d + 5*t = -0*t - m, -3*d - 2*t = -220. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -4. What is the highest common divisor of u and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*h**2 + 35*h - 3.\nAnswer: (h + 3)*(12*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 6*k - 13. What is the units digit of o(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*x + 5 = 0, -2*f + 44 = 7069*x - 7055*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 7 + 53. Suppose p = -x + 24. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 4*i + 2. Let w be q(4). Suppose -s - 5 = -w*a, -s - 20 = -3*s - 2*a. Solve 0 = 3*x - s*c - 6, 0 = 2*x - 5*x - 2*c - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -4*k + 17, 2*k - 2*o = -3 + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 p when three letters picked without replacement from jcguggpnupcjjpju.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -348 in -2\/9, 0.06, 57.2, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 314.0361 hours?\nAnswer: 1130529960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4101, -32811, -110733, -262473, -512637, -885831, -1406661, -2099733?\nAnswer: -2989653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 15*b + 16. Let m be a(-6). Let n be (-3)\/(-4)*(-224)\/133. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(33\/(-457419)). Let k = n + -6929. Calculate the common denominator of k and (50\/64)\/(33\/22).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25, 98, 257, 544, 1001, 1670?\n\"Answer: 7*d**3 + d**2 + 21*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p - 5. Let z(t) = -2*t - 1. Let a(h) = -2*i(h) + 9*z(h). Let s be a(-9). Put 2, -3, s in decreasing order.\nAnswer: s, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 16*p + 19. What is the remainder when g(-19) is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498677816046 - 5.\nAnswer: 498677816041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5097953 and -7?\nAnswer: -35685671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = q - 2*s, -13*s + 12*s + 3 = 0. What are the prime factors of q?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 1) + (-566 - -527) + 22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12221638*d + 4908163 wrt d?\nAnswer: -12221638","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 25507.229 to the nearest ten.\nAnswer: 25510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23774*a*u*x**2 + 315*a*x + 4*x**2 + 2 wrt u?\nAnswer: 23774*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -1\/3, -3, 0.06, -4, 5\/2, 5214?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at least 3.571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d**3 + 60*d**3 - 25*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/408564 and 113\/14550?\nAnswer: 10214100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -605 * 38\nAnswer: -22990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72882666 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyyynny. Give prob of picking 3 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012 + 498750.45?\nAnswer: 498750.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.518 - 29.9. Let j = p + 0.48. Round j to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -3. Let o = 5047.4 - 5047. What is the closest to o in -0.4, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3\/4 + 18212*a**2 + 145699*a\/4 + 36425\/2 = 0?\nAnswer: -1, 72850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 5\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*z = -42, -5*z = -0*u - 4*u + 4. Solve 0 = 5*w - u - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/51)\/z)\/(z\/(z\/z**(-6)))*(z\/(z*((z*z\/z**(-6\/5))\/z)\/z))\/z**36 assuming z is positive.\nAnswer: z**(-8221\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 2301*c**6\/40 - 359*c**3\/3 + 2953*c**2. What is the first derivative of h(w) wrt w?\nAnswer: 20709*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -10. Let h = 0.59353 + -0.64353. Which is the nearest to h? (a) -3\/8 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -107, -3125, -3 in decreasing order.\nAnswer: 5, -3, -107, -3125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.027 - -0.027. Let u = s - -17. What is the nearest to 0 in 3\/35, u, 0.2?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.063 or -0.3?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {a: 18, k: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 436648677 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 30052?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491818161 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11*h + 204. Calculate z(5).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323363136 to the power of 1\/3, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 6 + 42. Let y(x) = x**2 - x + 2. Let a be 6*(-2 - (-10)\/4). Calculate the least common multiple of y(a) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/12 - 4*f**3 + 5*f**2\/2 - 53*f. Let z be t(25). What is the nearest to -1 in z, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 41*d**2 - 17*d - 53. Suppose -3*j + 92 = 149. Is m(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -3*d - 18, 3*b - 11 = -5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.49785282 to 3 dps.\nAnswer: 11.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/51 and 35\/7344.\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 10*x + 6. Suppose 32 = b - 5*b. Calculate i(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, a: 1, j: 3, e: 5, c: 1}. What is prob of sequence cej?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1 - 6*c - 5 to the form w + l*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 11620884.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -371279+0.03845\nAnswer: -371278.96155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 2*r - 3. Let m be t(-2). Suppose d = -5*j + 20, 5*d - m*j + 3 - 13 = 0. Solve 0 = -d*a - 15 + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 11*h**2 + 95*h - 589. Give m(7).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 36*u**2 + 81*u - 163. Is y(32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/986 and -115\/14.\nAnswer: 6902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 81*v. Let n(k) = 22960*k - 11495*k - 11463*k + 96. Give n(o(y)).\nAnswer: 162*y + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*k**4 + 5340*k**3 - 41550*k**2 + 105125*k - 88125.\nAnswer: 5*(k + 141)*(2*k - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(27\/2))**(-43))**(-2\/37) assuming m is positive.\nAnswer: m**(1161\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**4 + 60*v**3 - 184*v**2 + 15*v + 6. Let i(z) = -4*z**4 - 182*z**3 + 552*z**2 - 50*z - 20. Let h(r) = 3*i(r) + 10*k(r). Factor h(l).\nAnswer: -2*l**2*(l - 23)*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w + 3663 = -172*w - 201*w. Let z(j) be the third derivative of -j**5\/60 - 11*j**4\/24 + 5*j**3\/6 + j**2. What is z(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21813891 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - z + 4*z)*((-3 - 2 + 3)*(133*z - 387 + 387) + 2*z + 1 - 1)*(2 - 2 + 3).\nAnswer: 792*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1500 and 366318375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/72*-12 - (-21)\/(-18). Which is the nearest to 0.4? (a) -5 (b) -2 (c) -39 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**5\/2 - 24*l**4 + 21*l**3 + 24*l**2 - 45*l\/2 = 0?\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 180490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23, -60, -101, -146, -195?\n\"Answer: -2*s**2 - 31*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10761, 10178, 9581, 8964, 8321, 7646, 6933?\nAnswer: 6176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 1. Let d be y(-4). Let v(r) = 5*r**2 - 8*r + 3. Let n be v(1). Solve 0 = 5*m - 4*g - n + 4, -d*m = -5*g + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose 3*d - n = 1, -2*d + 4*n + 0*n - 6 = f. Solve -d = l - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -57749375376.\nAnswer: -57749375375.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 4, -8934, 17 in decreasing order.\nAnswer: 17, 4, 3, 1, -8934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12.5, -1, 1\/8, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) -6 (b) 5 (c) -2\/9 (d) -4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 142.\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -17. Let h(z) = 7*z**2 + 117*z - 32. Let q be h(-19). Calculate the greatest common factor of i and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1202*y**2 - 125 - 7 + 144 - 35*y**2 - 11 as w*y + q*y**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6*t. Suppose t = z + 2*z - 105. What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) -115\/3 (c) -2 (d) -2\/9 (e) 4 (f) 173\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 156 - (55\/10 - 1\/(-2)).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.4 (c) 2 (d) -0.1 (e) 2\/3 (f) 3298398\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 41. Let c be d(18). Solve 6*l - 2*l = c*h + 2, 0 = -l - 4*h + 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -35 (b) -58 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 593*g**3\/3 + 5*g**2 - 32*g - 613. What is the second derivative of l(p) wrt p?\nAnswer: 1186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 17782379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41608455 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s**2 - 4*s + 1. Calculate y(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/36 + (-23)\/6. Does 15 divide 12\/16 - 177\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 22 = 50 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/1)\/((-2092)\/(-4184))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1251 and 819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**4\/2 - z**3\/3 - 2*z**2 + 3*z + 6. Give m(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1 - 2) + 2)*((6 - 0) + -2). Solve -2 = -5*i - o*u, -7*i + 2*u = -11*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*j - 472688 - 142235, 0 = 3*x + 5*j - 368929. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050327591 rounded to 4 decimal places?\nAnswer: 0.0503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 4*u - 6. Let m be x(-4). Let j(s) = s**3 + 8*s**2 + 8*s - 4. Let q be j(m). Suppose 4*f = -4*r + q, -2*f = r - 3 - 3. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/24 - (-11)\/132?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 14*a + 2. Let j(p) = -27*p - 4. Determine -3*j(d) - 7*z(d).\nAnswer: -17*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 10, -4266 in decreasing order.\nAnswer: 56, 10, -4266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 2:54 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + u - 1. Let z be h(0). Let r be -2 + (-8)\/(6 + -2). What is the nearest to -1\/2 in z, r, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358674067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30034 - 30034.63311. Let j = -14 - -14.63. Let r = l + j. Round r to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242 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 t = -4816 + 4806.533. Let x = -9.474838 - t. What is x rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1696 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3088672 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17424869 and -3.\nAnswer: -52274607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -31 - (-20 - -8)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/13 (b) -72\/71 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 142457404 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 37, 36, 17, -26, -99, -208?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14 - (3 + 2)) + (3 - -1). Solve -3*a - d = -4*j, -2*j = 3*a - j + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13202 - -13194. Let q(j) = 5*j**2 + 4*j. Let i(k) = -14*k**2 - 11*k - 1. Determine v*q(c) - 3*i(c).\nAnswer: 2*c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 14) to base 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31752 + 8.9758.\nAnswer: 9.29332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 42*z**2 + 2*z + 30. Let f be g(-4). Let w = -415 + f. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 2, v: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**2 - 2. Let l be w(2). Suppose l = -2*t + 2*f, 0*t + 2*t - 5*f + 30 = 0. Calculate the remainder when (-1)\/(15\/6)*t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -208, -399, -574, -733, -876?\n\"Answer: 8*y**2 - 215*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2\/(-3))\/(1\/(-6)) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13*m**2 + 6*m - 3. Let y = -85 + 80. Let i(c) = -9*c**2 - 4*c + 2. Calculate y*n(d) - 7*i(d).\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/3 (c) -20 (d) -5.477\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*n**4 - 677*d**3*n**3 + 10*d**3*n - 7*d**3 wrt n.\nAnswer: 24*d**3*n**2 - 4062*d**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/165*540\/15?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14466\/(-5)*135\/(-81)?\nAnswer: 2, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**6 + g**5 - 52*g**2 - g?\nAnswer: -480*g**3 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/215 + 408\/2365. Which is the closest to -1? (a) -0.1 (b) 7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 469086 and 36510527?\nAnswer: 219063162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -530 divided by -95\nAnswer: 106\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 3*w**2 - w - 2. Let m(h) = -9*h**3 - 121*h**2 - 4*h - 8. Calculate -4*d(i) + m(i).\nAnswer: -5*i**3 - 133*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from vvvvvvvvvvsv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 - 11*d**2 + 5*d**2 + 3*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 425858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awuw when four letters picked without replacement from vawwuwwa.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -3 (c) -4 (d) -25\/2 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v**3 + 3*v - 2*v**3 - v**3)*(7*v**2 - 3*v**2 - 3*v**2).\nAnswer: 9*v**5 + 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/4 + 1569*c**2\/2 + 254760*c + 24103200.\nAnswer: 3*(c + 166)*(c + 440)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 5*g - 1. Let h be 7\/(-9) + 14\/(-63). Let y be -5*(-3 + 3 + h). Let z be r(y). Which is the nearest to -1\/4? (a) 5 (b) z (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, l: 1, g: 10, u: 2, z: 1}. Give prob of picking 1 z, 1 p, and 1 g.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70 - -59) + (1 - -7) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pww when three letters picked without replacement from jrrrwwpjrwprrpjww.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*l + 29, -2*y + 18 = 3*l - 0. Let j be ((-42)\/77)\/((-26)\/143). Suppose -5*n = -25, j*x - 196 = -x + l*n. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + -13 + (-2 - -10 - 13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(11\/2)\/h)\/(h*h**(8\/3))*h**10\/(h\/(h\/h**(2\/3))) assuming h is positive.\nAnswer: h**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + a - 2*a + (a + a - a)*(1 + 1 + 0))*(671*a - 671*a - 324*a**3).\nAnswer: -1620*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/2*496\/155 + 9\/3. Suppose -5*o + 1 = -9. Suppose s + 4*k - 18 = 0, -k - 4*k + 35 = -5*s. Sort s, o, g in decreasing order.\nAnswer: o, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 364 = 3*y, -5*r + 2*r = 2*y - 241. Suppose 1288 = 5*g + y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*t - 16 = -247*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 101120211 (base 3) to base 14\nAnswer: 2b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 48377.747 and -86?\nAnswer: 48463.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:18 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 + 2.72?\nAnswer: 2.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 31*s**2 - 16226*s + 230490. What is q(14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*m + 7, 3*m + 0*m = -4*r + 32. Suppose 0 = 4*p - 10*p. Suppose -z + p*z = -15. Calculate the remainder when z is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 11) + 9 - -3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 331003330?\nAnswer: 331010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.06 (b) -44 (c) 2\/7 (d) -0.5 (e) -14887 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 23. Solve -4*l = -x + 19, -2*l - 4*x = -0*x + p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1100543 + -43?\nAnswer: 1100500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 13. Is (-2857)\/(-6) - d\/12 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a + 4*h - 680 = 0, -5*a - 2*h + 1124 = 0. Suppose -2*m = -3*n - 0*n + 179, -4*n = m - a. Let u = n - 24. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-8 - -4)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 2*y**3\/3 - 43*y**2\/2 - 13*y + 12. Calculate the lowest common multiple of r(22) and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2208819 is divided by 1617?\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/147*-7*5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -8 + 9, 3 = -2*s + 27*t - 32*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 101. Let b be q(-14). Suppose v + 3*i - b = 0, 4*v = -i + 205 + 154. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**4 - x**3 + x**2 + x - 2. Let m(a) = -14*a**4 - 13*a**3 - 10*a**2 + 67*a + 78. Let h(s) = 52*b(s) + 4*m(s). Determine d so that h(d) = 0.\nAnswer: -26, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 84?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let k(q) = 1 + 0 + 2*q**3 + 5 + 7*q - 3*q**3. Let b(y) = -y - 1. Let t(m) = z*k(m) - 5*b(m). Determine t(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 12*c - 15. Calculate the remainder when 38 is divided by g(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*z - 189 + 69 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.96 + 0.06. Let o = p - -3. Let r = -3.8 + 4. Do o and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*i, -11*z = -14*z - 12. Factor k**2 + 47 + i*k - 79 + 10*k.\nAnswer: (k - 2)*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131400*f**4 - 54*f - 316?\nAnswer: -1576800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 10:04 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6694.223 centuries in months?\nAnswer: 8033067.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/10)\/((-9044)\/1505 + 6). Let u = q + 301. What are the prime factors of u?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:15 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-70))\/((-18)\/(-45)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 484111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963933927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from uuauyggryggagap.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -11. Let g = 162 + n. Let u = g + -57.98. Put u, 3, -1 in ascending order.\nAnswer: -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(85) + -1*sqrt(85))*-6)\/((sqrt(10) + -6*sqrt(1210) - sqrt(10))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282*(-1)\/9 + -7 + (-138)\/(-18) + -7.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, a: 2, c: 3, m: 10}. What is prob of sequence ai?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129.8 - -158. Let l = q - 28. Which is greater: 0.4 or l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 + 4.7. Let k = -1.2227 - -1.3227. Let s = -3.1 - -3. What is the closest to k in s, c, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**6\/10 + 279*s**5\/10 - 238*s**4 + 291*s**3 + 5157*s**2\/2 - 10*s. Factor r(c).\nAnswer: 3*(c - 3)**2*(c + 1)*(c + 191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -42. Let j(g) = -100*g + 4. Let w be j(k). Let f = 432 + w. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4362 + -0.6638. Which is the third smallest value? (a) 0.5 (b) 1\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1192 and 3427?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 7. Let j be u(3). Which is greater: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**5\/6 + 5*w**4\/6 + 65*w**3\/6 - 5*w**2\/6 - 10*w = 0.\nAnswer: -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2578249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {q: 1, k: 2, f: 1, s: 1, d: 1, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388, 423, 480, 559, 660, 783?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + s**2 - s**2 + (5 - s**3 - 5)*(-112*s + 103*s - 55*s) + 2*s**4 + 2*s**4 + 2*s**4.\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 3:46 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 2. Let z be r(-2). Suppose 8 = 2*y + y - z*p, -5*p = -4*y + 10. Let v(t) = t**2 + t + 8. Give v(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 39 = h, -h = 3*h - 4. Let k be (-17)\/(-4) + 2\/p. Suppose k*u = 5*l - 80, u = 4*l - u - 58. Calculate the lowest common multiple of l and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 - 3*n + 4. Let c(z) = z**2 - z. Let y(g) = -3*c(g) + p(g). Let w be y(-10). Is (-159 + w)\/(-1*1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7904009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) -68 (c) -0.19 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 + 238\/3. Let v = 1 + -3. Is z <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.5 (b) -1 (c) 217 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 412335 at most 412333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3 - 3259*q**2 - 3045040*q - 878097600 = 0.\nAnswer: -1899, -680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0 + 0*u**5 + 1\/10*u**6 + 0*u + 0*u**3 + 167\/24*u**4 + 16*u**2. Find the second derivative of n(q) wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d = -l - 4, -3*l - 3*d = -6. Solve u - 1 - 1 = l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -93 - 81) + 2 + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*a + 151, 0*a - d - 71 = -2*a. What is the highest common factor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4043*i - 4043*i - 169*i**2 + (0*i + 2*i - 3*i)*(-3*i - 3*i + 3*i) + 4*i**2 - 3*i**2 - 2*i**2.\nAnswer: -167*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhhzdzdzdzhdheddhdu. Give prob of picking 1 u and 1 z.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26074 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -16*j - 9*j + 22*j. Let a(v) = 2*v - 3. Suppose -r - 7*k = -2*k + 29, 5*r + 30 = -2*k. Let h(x) = 2*x - 4. Let q(y) = r*a(y) + 3*h(y). Give o(q(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15\/19 - -127\/209. What is the closest to 0.1 in -1\/5, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3488431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vay when three letters picked without replacement from hahheyvyhh.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 24. Suppose 3*z + v = z, 40 = 5*y - 5*z. Let o(f) = 2*f - 5. Let t be o(y). Put -0.5, 3\/5, t in descending order.\nAnswer: t, 3\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(48\/(-20))*3. Suppose -o*q + 40 = 20. Solve -5*h = -3*s - 20, -s - 30 = q*s - 5*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-36)\/(-62582)) + (-17)\/(-51). Let d = 1738 - r. Find the common denominator of ((-26)\/14)\/(24\/40) and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 21 = c - 2*u, u = -2*c + 22. Solve 0 = n + c - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + h**3 - 2*h**3 + (h**2 + 2*h - 2*h)*(-4*h + h - 1 - 3*h) to the form i*h + r + d*h**2 + u*h**3 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2 - 1. Suppose 0 = 4*k - 0*d + d - 32, -3*d - 12 = 0. Calculate the remainder when -7*(1 - 18\/y) is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*i - 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*w - 7, 0 = w + w - 5*b + 1. Suppose 0*q - w*q + 30 = 0. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5107)\/(-2)*38943\/(-33492). Let p = v - 82\/2791. Let d = p - -2963. Calculate the common denominator of d and -1\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -922*y**4 + 4*y**2 + 2*y + 11 wrt y.\nAnswer: -22128*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66923?\nAnswer: 66923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 2*a**2 - 4*a - 7. Calculate w(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -1, -8, -17?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-15)*(-100)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57375)\/(-375))\/(12\/(4\/1))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.11 - 0.11. Let c = k + -15. Is 0.1 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 - 119. What is the lowest common multiple of u and 59?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42392584 and 17935324?\nAnswer: 466318424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -5*y**4\/8 + 33*y**3\/2 + 226*y**2. Let x be k(-3). Are x and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/85 + 191\/595. Which is the fourth biggest value? (a) -5 (b) 1 (c) o (d) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9885 - -0.0115. Sort 0.1, v, 120, -5 in decreasing order.\nAnswer: 120, v, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44081548 divided by 2.\nAnswer: -22040774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/15 + -1 + 1. Which is smaller: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1368 and 3135.\nAnswer: 75240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/4 - 52*q**2 + 463*q\/4 + 201\/2 = 0. What is q?\nAnswer: -2\/3, 3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62954056 and 682.\nAnswer: 62954056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, n: 16}. What is prob of picking 3 u?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-3) + 12 + 1. Suppose -3*y + y - 8 = -o, 4*o - u = y. Let p be (36\/54)\/(o\/255). What is p rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 44*q**2. Let y be (-284)\/568*(-3 - -3). Let c(p) be the third derivative of -1\/24*p**4 + 0 + y*p**3 + 9*p**2 + 0*p. What is l(c(m))?\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*p - 0*p + 5*q, -4*p = 3*q - 1. Let y = -0.67 + 0.17. What is the closest to p in 0, 2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.341484 rounded to 2 dps?\nAnswer: -123.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -13. Suppose -4*x = -5*y + 12, -n = x - 5*y + 11. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 934112?\nAnswer: 8407008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 15 + -5 + (24 - (6 + -8)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 388009.\nAnswer: -18\/388009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/21 - 68*j\/21 - 128\/21 = 0. Calculate j.\nAnswer: -32, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636799.4cm to meters.\nAnswer: 6367.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 3*y - 5. Does 5 divide k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53524269 + 3625730. Suppose 22859995 = -2*n + 5*a, -12*n + a = -7*n + b. What is n rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 118? (a) 1\/2 (b) -0.6 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012200114 (base 5) to base 3.\nAnswer: -10220002211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.114 and 1743663476618.\nAnswer: 1743663476618.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 12:10 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**21*z**2)\/(z\/(z**(-14)\/z))**(29\/3) assuming z is positive.\nAnswer: z**(-392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9426018*c**3 + 3229354*c**2 - 2?\nAnswer: -56556108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2563.4247 months?\nAnswer: 21.3618725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 7)\/(2 + -1 + 0). Solve 0 = -v - t*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y**5\/5 + 3*y**4\/5 - 36*y**3\/5 - 33*y**2\/5 - 6*y\/5 = 0. Calculate y.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 48*h**3 - 40*h**2 - 15*h + 14. Determine v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 792 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*k + 8*k - 6610 = -1106. What is the remainder when 344 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00162315524 rounded to five dps?\nAnswer: -0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 16*y - 10 = 0. Suppose -y*r = 6, 31 = 5*a - 5*r - 9. What are the prime factors of a\/(-6)*-298 + 6\/9?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 2\/3*w**3 + 28 + 3\/2*w**2 - 3*w. Let f(i) = i**2 + i - 1. Give -6*f(k) + 2*g(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 10. Let k(w) = -w + 20. Let c(u) = 2*f(u) + k(u). Let a(n) = -80*n**2 + n. Determine a(c(y)).\nAnswer: -720*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from rrryryrylyyyyyyrrl.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v. Let b(w) = -21905110*w**2 + w. What is i(b(a))?\nAnswer: 175240880*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -530b - -553?\nAnswer: -4978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/124 and 5\/24.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -512 - -551. Solve -7*d + x = 6*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 28 + 14 = 0. Is 13 a factor of 2\/w + (-5590)\/(-30) - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 117*j**2 + 139*j + 486. What is the thousands digit of q(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 635, 1171, 1705, 2237, 2767, 3295?\nAnswer: 3821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 - 5 = 0. Suppose 0 = -3*g - t*p + 138, -g + p - 237 = -6*g. Let l = -24 + g. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(11 + -4) - -1. Let k = 9 - 1. What is the greatest common factor of k and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 + 2*y**2 - 22*y + 28*y)*(16455*y - 16455*y + 343*y**2) as t*y + w*y**2 + l*y**4 + d + v*y**3 and give v.\nAnswer: 2058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqqooor. What is prob of sequence rror?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -7*d**3\/6 + 7*d. Let b(o) = 3*o - 5*o + o. Give b(u(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10406 to three decimal places.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 130418494\nAnswer: -652092470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 162 - 9*b**2 - 181 - 10*b**3 + 7*b**3 + 17*b. Let s be z(6). What is s rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -0.2 (c) 23\/180 (d) -1 (e) -0.01 (f) 0.5 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 9*w**2 + 5. Let k be o(-9). Let j(q) = 2*q + 1. Let z be j(1). Solve 4*l - 5*u = -22, 4*l + 23 = z*u + k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7967 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 179388377 a multiple of 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (62 + -34)*(7 + -4 + 695\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18507*b = 18469*b - 37166*b + 11270 - 2150 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 11*a - 8. Suppose -110*w + 116*w - 60 = 0. Let c be s(w). Solve 1 = n - c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*x**2 - 485*x**2 - 200*x**2 - 2*x + 2*x in the form q + s*x + p*x**2 and give p.\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 532364.27 to the nearest one thousand.\nAnswer: 532000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -865, -7202, -24389, -57850, -113009?\nAnswer: -195290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/1)\/(3\/(-59)). What is the highest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + 2*sqrt(60)\/sqrt(5))\/(sqrt(4) - (-2*sqrt(16) + sqrt(16))\/sqrt(4)))**2 + (sqrt(243) - (sqrt(243) + 0 + -5)) + 0.\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(5) + sqrt(15)\/sqrt(3)))\/(sqrt(27)\/(sqrt(18)\/sqrt(2)))*5*-2 + -5)**2.\nAnswer: 50*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 2\/3, -0.2, -1, 0.17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -905 - -924. What is the nearest to 0 in z, 3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 times 151?\nAnswer: -21442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 7:27 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.2 + 63.2. Let w = 49 - s. Which is the closest to w? (a) 4 (b) -9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t + 84. Let l be z(-6). Let v(d) = d**2 + 4*d - 5. Let j be v(10). What is the highest common divisor of l and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 68 = -j. Let h(k) = -k + 6. Let q(s) = -3*s + 17. Let d = 168 + -162. What is d*q(n) + j*h(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.04447754.\nAnswer: -0.13343262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 47.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/4)\/(87\/348). Let z(x) = -x**3 - 4*x**2 + 3*x + 29. Is z(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a*a)\/a*a)**15 assuming a is positive.\nAnswer: a**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4650383216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -29, -5, -11, -1 in descending order.\nAnswer: -1, -5, -11, -29, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + 2.2. Let a = 366073\/5 - 73216. What is the second smallest value in -4, d, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 2. Let b be t(6). Suppose 2*w - 42 - 2006 = 0. Suppose w = 82*m - 74*m. What is the greatest common factor of b and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 16*r - 5. Suppose -4*u + 0*m - 20 = -4*m, -5*m = -u - 17. Let i = 0 - u. Let p(z) = 3*z + 3 - 2 - i + 0. Determine -4*a(f) + 22*p(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2512 and 2669.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -23709462.36 to the nearest 100000.\nAnswer: -23700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13436833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160791.\nAnswer: 3, 53597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = 2*m. Suppose m*z + z = 60. What is the common denominator of ((-268)\/12)\/(z\/(-6)) and 25\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 20 = r. Suppose 3*q + 9 = -3*u - 0*q, -2*u = -3*q + 1. Let c = -0.07 - -5.07. What is the closest to -2\/9 in u, r, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t. Suppose -10 = -10*z + 15*z. Let w be 2*((-27)\/z - 4). Let q(r) = 23*r + w*r - 41*r. What is g(q(a))?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/60 + 2*v**3\/3 - v**2. Let n = -7 + 3. Let x be k(n). What is the greatest common factor of x and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197\/6 + -33. What is the closest to -1 in -11, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -2 + 1 + 2. Solve 3*x - 16 = -d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/((-5)\/(-3)). Let k = -8\/15 - j. Let p = -47622 + 47635. Is p > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 11:08 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 11*f - 15. Is o(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 28, 55, 100, 169, 268, 403?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**2 - 70*p - 6. Determine n(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(16*y - 1140 + 1140)*(12 + 14 + 1).\nAnswer: -864*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -305*t**3 + 419 - 3*t**2 + 165 - 337*t**3 + 3*t**2 wrt t?\nAnswer: -1926*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppd when three letters picked without replacement from dddpp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 14*d - 7. Let x(h) = h**2 + 5*h + 2. Let m(l) = 2*q(l) + 7*x(l). Calculate m(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 4*y**4 - 5*y**4 + (2 + 0 - 1)*(-23*y**4 + 3*y**4 - y**2 - 2*y**2).\nAnswer: -22*y**4 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11792 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g**3 + 24*g**2 + 5*g - 10. Let d(v) = -7*v**3 - 13*v**2 - 2*v + 4. What is -5*d(s) - 2*k(s)?\nAnswer: 11*s**3 + 17*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*u + 116*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*l**4 - 5073*l**3 + 294701*l**2 wrt l.\nAnswer: 216*l - 30438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 20*i - 239598 = -33*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 0.06, -62?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 1912*n**2 - 1859456*n - 941314560.\nAnswer: 4*(n - 690)*(n + 584)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 + 121.88. Let n = z - -3.12. Sort -2.1, -0.1, n, 2\/7 in descending order.\nAnswer: n, 2\/7, -0.1, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*sqrt(176).\nAnswer: -24*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (56\/(-12))\/(5\/300). Let x = -97 - l. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**6\/180 - l**5\/20 - l**4\/6 - 4*l. Let q(f) be the third derivative of y(f). What is the derivative of q(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaadwwwawwwfdwwa. Give prob of sequence wd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2333*(-6)\/((-48)\/(-104)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -649\/4 + 161. Let t be ((-320)\/98)\/(30\/35). Let v = t + 22\/7. What is the second smallest value in 0.4, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*m - 2132 - 271. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 0, s - 6*s = 4*u + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:40 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 6, w: 8, n: 2}. Give prob of picking 1 w and 1 r.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 79.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -31*n - 10. Let x(r) = 7*r + 5*r + 6 - 75*r - 27. Let i(p) = -5*w(p) + 2*x(p). Is 17 a factor of i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 8. Let w be (-4)\/q - (-16)\/(-15). Which is the second biggest value? (a) w (b) 1\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 4 (b) -0.5 (c) -1 (d) 5.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 24 = -d + n, -12 = -4*n. Let k be (-114)\/(-27) + -4 + 34\/d. Let z = -85 + 83. Put k, z, 5 in decreasing order.\nAnswer: 5, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2*d. Suppose 3*v - 12 - 10 = -2*i, 3*v - i - 7 = d. Find the third derivative of 3 - 3*k**2 - 1 - 4*k**v - 2 wrt k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12432205?\nAnswer: 5, 47, 52903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s**3 - 2*s**2 - 3*s - 2. What is h(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13863\/23 or 604?\nAnswer: 604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 771259.\nAnswer: -771258.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000304 to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1\/4, -719, 0.2, -6\/5, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 3*i**3)*(-3*i + 3*i - i) + i**4 + 2*i**4 - 2*i**4 + (-i**2 - i**4 + i**2)*(46 + 12 - 10) + 2*i**4 + 3*i**4 - 6*i**4.\nAnswer: -51*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -31*p + 457. Let m be w(11). Solve 0 = -10*k - 19*k + m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42183.020411 + 42183. Round o to 4 decimal places.\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 27) + -5 - -25?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3701 + -3334. Calculate the remainder when c is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 10*g**2 + 11*g + 8. Let a = 82 - 77. Suppose 0 = -4*c + 1 - a. Let z be (-10)\/(-6) + c\/(-3) - -9. Determine k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*b*s**2 + 28*b*s - s**2 - s wrt s?\nAnswer: -212*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 40.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**5\/20 + 3*q**4\/4 + 10*q**3\/3 - 2*q**2 - 3512*q. Determine p(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856684097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 4*j**2 - 5*j - 1. Let a be i(-5). What is the remainder when a\/((4\/(-49))\/4) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(114) + 2*sqrt(114) + sqrt(114) - sqrt(114) - sqrt(114)))\/((sqrt(18) - -2*sqrt(18))\/sqrt(9)))\/((sqrt(96)\/sqrt(4)*-6)\/sqrt(8)*-1*-6).\nAnswer: 5*sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 104*m**2 + 905*m - 31. Calculate o(-8).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*w + w. Calculate the common denominator of (-356)\/560 - w\/14 and 2 + 127\/(-14) + 1.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -4 (c) 8\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -28, -7, 1 in increasing order.\nAnswer: -28, -7, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-2 - 5) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(sqrt(1024) + -1*sqrt(1024) + sqrt(1024)) + (sqrt(1024) - (sqrt(1024) + sqrt(1024)*-2)*-6))\/(4*(sqrt(800) - -2*sqrt(800))*3).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k - k**2)*(k + 4*k - 3*k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (15 - (10 + -5))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7750 + 110 = 0. Calculate the remainder when (y\/(-7))\/(-5) + 2\/(-14) is divided by 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -769160*j - 3440. Let y be x(-34). What is y rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5466 and 5466.\nAnswer: 5466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322001212113301 - -2?\nAnswer: 322001212113303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.332 - 0.4.\nAnswer: 6.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4218900 divided by 175\nAnswer: 24108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-3) + 1 + 1. Let c(q) = 6*q - 2. Let d be c(2). Let n = 14 - d. Which is greater: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/32 and -113\/60?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.101? (a) 0 (b) 5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 20*d**2 - 157*d - 4. Let t(y) = y**3 - 21*y**2 + 156*y + 5. Let f(h) = 4*t(h) + 5*x(h). What is the second derivative of f(b) wrt b?\nAnswer: 24*b + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 55 - -13 - (-1 - -4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 582 = 293. Let k be (2 + -34 + 1)*-9. Let s = k - 92. What is the highest common divisor of s and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 14*w = -87, -1272*d = -1276*d + 3*w + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*c + 9 = 55, 0 = c - 3. Let s = 38 - b. Calculate the greatest common divisor of 5 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)*f)\/f*f*f**(-3\/8))\/((f**(1\/3)\/f)\/(((f\/f**(-10))\/f*f)\/f)) assuming f is positive.\nAnswer: f**(2933\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-6)\/(-120) + (-196)\/260.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.10822+0.9\nAnswer: 0.79178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 97960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*j + 229*j = 5*r + 7, 12*r + 28 = 4*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 599 - 560. What is the highest common factor of 624 and r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*l - 2*l = 42, -4*q - 60*l - 23 - 1 = -56*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21301233020 + 11?\nAnswer: -21301233003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2 + s**2 + 8*s**2 - 88 + 2*s**2 + 84*s - 10*s**2 = 0. Calculate s.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**19*k)\/k*k**7)\/(k**5*k**(-3\/8)) assuming k is positive.\nAnswer: k**(171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3799970190?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/(-6))\/(-5)*-3. Suppose -5*q - k = -278, -m*k = -4*q - q + 269. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - v + 274 = 0, -c = 3*v + 68 + 55. Suppose 0 = -4*a + 125 - 53. Does 6 divide c\/a*32\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8408 is divided by 1190?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -102.38 - -113.38. Sort -3, l, 13 in increasing order.\nAnswer: -3, l, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35*(-28)\/(-420))\/((-28)\/(-1080))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 - 3.93. Let m = 9 + d. Put m, -0.5, 0.1 in decreasing order.\nAnswer: m, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75292 divided by 3?\nAnswer: 75292\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/777*-21)\/(3 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 123, 274, 507, 834, 1267?\nAnswer: 1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 6*l**2 - 4*l + 2. Let n be i(-3). Suppose n = u - 4*j, -3*u - 6 + 0 = 4*j. Is ((-563)\/u)\/((-3)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 10, -3*s = -9*u + 4*u - 436. Is s a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11\/3)\/(f**(-1\/10)*f))**(-1\/6) assuming f is positive.\nAnswer: f**(137\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b + 1. Suppose 7*p = -23*p - 30. Suppose 4*x + 5*s + 12 = 0, 1 = 3*x - 3*s + 10. Let h(d) = d - 1. Give p*w(u) + x*h(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -6*s**7\/5 - s**6\/120 - 103*s**5\/10 - s**2 - 67*s. Find the third derivative of n(g) wrt g.\nAnswer: -6048*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7 - o + 3*o - 7. Let m(v) be the first derivative of -2\/3*v**3 + 0*v + 0*v**2 + 14. What is m(s(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*56\/(-476)*-68?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 112*d**2 - 64*d + 694. What is the ten thousands digit of o(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 0.1, -2\/1523 in ascending order.\nAnswer: -83, -2\/1523, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 970 divide 242464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135540*l*o**2 - 121*l*o - 66*o wrt o?\nAnswer: 271080*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 y when three letters picked without replacement from zyzyjzyyyjzz?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**2 + 8*q**2 + q**2)*(2*q - 5*q + 2*q) + (q + 2*q**2 - q)*(-3*q + 3*q + 13*q) - q**3 + 4*q**3 - 4*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 27. Let l = f - -16. What is the remainder when 5 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - h = -3, 13 = -q + 4*h - h. Is 6 a factor of q\/(-9) + 3488\/144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.4. Let n = -0.5 - -0.9. Let o = -5\/11 - -47\/55. Which is the nearest to o? (a) n (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -24*n**2 - 57*n + 81. Let a(k) = 3*k**2 + 7*k - 10. Let d(q) = 33*a(q) + 4*p(q). Factor d(h).\nAnswer: 3*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8598600356648 less than 0.6?\nAnswer: -8598600356647.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 24 = -4*f. Let c be f\/11 - (-2)\/(-11). Is ((-43)\/c - 2)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x + 9. Let u(p) = 7*p + 10. Let w(g) = 5*k(g) - 4*u(g). Let q = 5401 - 5405. Let h(b) = -3*b - 6. What is q*h(i) - 5*w(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 - aa0201?\nAnswer: -aa0241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 24*j - j + 27*j - 2*j - 2*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 16. Suppose 4*c + n = 8*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**5\/10 + a**4 - 2*a**3\/3 + 6*a**2 - 4*a + 8. Let w be l(5). Sort w, 4, -1 in decreasing order.\nAnswer: w, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.9965 + 0.0965. Let d = j - -52. Is d less than or equal to 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-161)\/49 - (-4)\/14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 333247, 333214, 333159, 333082, 332983, 332862?\n\"Answer: -11*l**2 + 333258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**4\/4 + 4*s**3\/3 - 3*s**2\/2 + s - 2. Let a be w(2). Suppose d = -a*d + 24. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 306120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031 (base 5) in base 8?\nAnswer: -607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Let h be (-312)\/680 + 8\/136. Put d, h, 0, -2 in descending order.\nAnswer: d, 0, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-10 - 2) + (-26 - -41).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, u: 1, e: 1, n: 6, w: 4}. What is prob of picking 1 u and 3 w?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.049 + -18.049. Let u = 17.7 + y. Let r be 11\/6 + 1\/(-3). Which is the biggest value? (a) u (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 5. Let x be h(6). Let l be 90\/(-24) + x\/4. Let i = 1 - l. Solve 16 = i*c + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -330280 - 167695. Let n = d - -807975. Round n to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -4\/3, -0.4, 1.9, -20?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 727450*g**3 - 14*g + 86 wrt g?\nAnswer: 4364700*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-52)\/325)\/(39 - 41). Factor 0*g - l*g**4 + 0 - 4\/25*g**2 + 6\/25*g**3.\nAnswer: -2*g**2*(g - 2)*(g - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -4. Let z = m + 5. Suppose -24 = -z*g - g. What is the remainder when 22 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26748 and 54982?\nAnswer: 989676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 6*q**2. Let c be h(-6). Let b be 446\/12 - 10\/60. Suppose -b = -3*p + 5. Solve -3*v + 0*w + 5*w - 7 = c, -2*w = 3*v + p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14742112 divided by 2106016.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/6 + 12*k + 2. Suppose -5*o + 17 = -3. Let p(m) = m**2 + 2*m - 2*m + o*m**2. Give j(p(d)).\nAnswer: -50*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -818 - -818. Let l = 23.5 - 40.5. What is the second smallest value in l, n, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(17\/9 - 6\/27). Suppose -822 = -2*k + 4*r, -402 = -3*k + f*r + 822. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106756*v**3 - 151694*v**3 - 212555*v**3 - 163960*v**3.\nAnswer: -634965*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/2)*u*(u\/u**(-8))\/u)**(-23) assuming u is positive.\nAnswer: u**(-253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4255341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009617 rounded to 7 decimal places?\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 0)\/(2 + -1). Let a = -12 + 17. Suppose 0 = a*i + 2 - 12. Calculate the greatest common factor of z and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -12. Suppose -8*f + 4*f = 2*t - 126, f = 4*t - 252. Let q = r + t. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + w, m = -m - 2*w. Let q be (-34)\/(-9) - 1\/(72\/(-16)). Let v be 12*(q - (-161)\/(-42)). Solve m = v*n, 5*n = -0*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggr when three letters picked without replacement from {g: 4, f: 6, r: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166689964?\nAnswer: 2, 7, 17, 19, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - (-12 + 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4.8, 17, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 60918?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-4)\/6)\/((-24)\/612)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -84*j + 1. Let w(q) = 5*q. Determine -c(n) - 4*w(n).\nAnswer: 64*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*w - 29, -3*l - 5 = -5*l + w. Suppose -5*v - 162 = -3*a - 0*v, l*a - 227 = 3*v. Calculate the remainder when a is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033646 to 4 dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppnppppnpnpnpp. What is prob of sequence ppp?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.2, -2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2013\/366*-1*(-1)\/2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-774)\/(-27))\/(21\/(-63) - -1)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.47. Which is the second biggest value? (a) 4 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28035 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(28\/9)*d*d**(4\/15) assuming d is positive.\nAnswer: d**(287\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/(-90) - (-2)\/5. Let t = -6.976831 - 0.023169. Which is the fourth smallest value? (a) -0.2 (b) v (c) 0.5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -2.5. Let x = t + 0. Let h be (-2)\/5*(2 + 8). Which is the third smallest value? (a) h (b) -3\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(270)\/sqrt(5)) + 5 + sqrt(42)\/(sqrt(6) + sqrt(150)))**2*-6.\nAnswer: -321\/2 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 3, l: 2}. What is prob of sequence vzz?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 29.1. Let q = -286\/153 - -28\/17. What is the closest to o in q, -1, 2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -48*v**5 - 604*v**4 + 284*v**3 + 316*v**2 + 52*v = 0.\nAnswer: -13, -1\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93054388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -21*u - 2. Let i be b(-7). Let a = i + -64. Suppose 60 = 3*l + 11 - 77. Calculate the remainder when a is divided by l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10\/51 (b) 1\/4 (c) 3 (d) -330\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1461.91 + 1462. Let k = 0.094 - 0.094. Is g greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 7*r**2 + 16*r - 28. Let j be n(5). Solve -j*s = -4*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13921390 divided by 397754?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2976 + 145809\/49. Let d = w + 1\/49. Let a = -15\/2 + 41\/6. What is the nearest to -0.1 in d, a, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(605\/(-66)) - (-733290)\/55?\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**4\/4 + 8*a**3\/3 - a**2\/2 + 11*a + 49. Calculate i(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 162672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(a + 2*a - a) + 0*a + 0*a - 2*a + 0*a + 2*a - 4*a + 63077 - 402*a - 63077 + (2 - 4 + 3)*(0*a - 5*a + 3*a).\nAnswer: -410*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000593 to 6 decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 20*c = 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*o - 2250 + 2056 = 4426 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -444072 or -444074?\nAnswer: -444074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/(-2 - -6). Let k = 1.3 + -0.3. Sort k, 4\/3, m in descending order.\nAnswer: 4\/3, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -3*m + 244. Let v = m - 79. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5128, -1, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:50 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20 + 9\/(-3) + 1. Suppose 0 = -9*o + 11*o - f. Let l be (30\/(-75))\/(o\/5). Sort 0.2, -2\/7, l in increasing order.\nAnswer: -2\/7, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48930637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033.175kg in micrograms?\nAnswer: 4033175000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2369 is divided by 278.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26313558 is divided by 432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) - 1*(sqrt(12) + 3*sqrt(12))) + sqrt(24)\/sqrt(2)*-6)\/(-3*(sqrt(300)\/(sqrt(80) + sqrt(5)) + sqrt(60) - sqrt(60))\/sqrt(10)))**2 + -1.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:03 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 + 3)*(1 - 1 + 1) + 3 - 1 - 1)*(2*n + n - 6*n + (0 + 0 + 1)*(-2*n - n + 4*n)) in the form q*n + o and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 119496 divided by 766\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 30 = 5*u - 5*o, 3*u = 4*o - 20. Let w = -9 - -9.7. Let m = w + -0.2. Which is the biggest value? (a) 4 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5765570254 - 5765571554.9999439. Let b = -1301 - v. What is b rounded to 6 dps?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 10. Let d(n) = r*n - 4*n - 3*n + 3*n. Let a(b) = -51*b**2. Calculate a(d(g)).\nAnswer: -204*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-2))\/(-3 - (-4)\/1). Suppose -s*m + m = -16, 2*n + 4*m = 4. Let t(l) = l**3 + 6*l**2 + 2*l - 5. Calculate t(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199 + 203. Suppose y + s = 711, 5*y + o*s - 3*s = 3563. What are the prime factors of y?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 860 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12018, 12022, 12026, 12030, 12034?\nAnswer: 12038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1836 and 7340?\nAnswer: 3369060","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -14 + 10 + (-8)\/(16\/4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 206. Let k = o - -136.71. What is k rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 496*m**2 - 519*m**2 + m to the form x + a*m + w*m**2 and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (234 - 189 + 497 + 2 - 3 + 0 + (1 + 1 - 1)*(0 + 4 - 3))*(3*h**2 + 0*h**2 - 4*h**2) to c*h**2 + b*h + s and give c.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181702\/11 - -2030351\/132. Let t = -1148 - x. What is the common denominator of t and 11\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -178*o**2 + 5*o + 2. Let s be m(1). Let u = 175 + s. Let g(f) = 3*f**2 + f. Calculate the remainder when g(2) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63581?\nAnswer: 7, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 25 + 9 = -2*v, 3*y - 2*v = 24. Let h(k) = 6*k - 30. Let b be h(y). Suppose -59 + 9 = -5*q. Calculate the greatest common divisor of b and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 9. Suppose t + k - 42 = 0, -2*t + 76 = k - b*k. Suppose -4*a + 12 + t = 0. Solve 5*i + a + 18 = 2*y, -5*y - 4*i - 5 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) + (6345\/(-170))\/27\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -23. Let q = -1 - a. Is (4 - 230\/q)*6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0229 + -3.9771. Let a = y + 3.9. Are a and -1\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 7*i - 4. Let l be w(6). Suppose l*d = d + 12. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t + 5 - 4 - 3. Let o(l) = -3*l - 10. Let n be o(-4). Let b be p(n). Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11545 - -11599. Solve -1015*a - d = -1024*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-252)\/(-15)) + 2\/12*450\/(-300).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15*i**2 + 6*i + 6. Let k(s) = 3*s**2 + s + 1. Let q(c) = 6*k(c) - w(c). Let z(t) = 106*t**2. Calculate z(q(m)).\nAnswer: 954*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 + -0.1. Let r = -19945 - -19945.3. Which is the closest to -2? (a) 1\/2 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2846768 years to months.\nAnswer: 3.4161216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + 4*k - k)*(-2730 - 347 + 1096) to p + i*k and give i.\nAnswer: -13867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174172986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1)\/4 - (-1599)\/44772.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = 5*n, -2*x - x + 6 = n. Suppose -x*a + 3*u = -4, 3*u + 4 = u. Which is smaller: 4\/9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2765265 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 - 2*r - 25 - r)*(-r**3 + r**3 + 2*r**3) to the form t*r**2 + m*r + f*r**3 + y*r**4 + q and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*80.\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556559 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031377 + 1?\nAnswer: 1.031377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 36 (c) 473 (d) -2 (e) -0.4 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5485, 10986, 16501, 22030?\nAnswer: 27573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66919847 + -66919868.00000136. Let x = o + 21. What is x rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -18. Suppose -2*v = -q - 3. Calculate the highest common divisor of v and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799206359?\nAnswer: 7, 114172337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u\/(u**3\/u))*u\/(u*u*u\/((u*u**(1\/13)*u)\/u))*u**(2\/19)\/u**(-1) assuming u is positive.\nAnswer: u**(786\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 + 2 + 2*c**2 - c + 3*c. Let z be -4 - ((-612)\/4 + -3). Let r = -150 + z. Let x(v) = -v**3 + 5*v**2 - 5*v - 5. What is r*x(t) + 5*q(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 802905 divided by -53527.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (75\/2)\/((-62)\/(-1364)) is divided by 409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.29 - -1.396. Let t = v - 0.1. Let j = -0.006 + t. Which is the smallest value? (a) -2\/7 (b) -4\/13 (c) j (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 283 - 249 = -2*q, 4*c + 2*q = 56 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 11:54 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -148 divided by 4\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*f**4 - 8 + 8)*(536*f - 78 + 40 + 40).\nAnswer: -9648*f**5 - 36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*2.9.\nAnswer: 142.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z - 122. Let p be m(32). Let f(x) be the first derivative of -3\/4*x**2 - 9\/4*x + p - 1\/12*x**3. Factor f(v).\nAnswer: -(v + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 69?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1931*c + 4*c**3 + 1931*c - 11*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 5*r - 3. Let t be j(6). Solve -t*f + 3 - 2 + 1 - 3*f**2 + 4 = 0 for f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-5)\/(-15)*882\/392) + (-7)\/(-36).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*-3*(-4)\/(-24). Suppose x = -i - 2. Let m(q) = -8*q + 9*q + 0 + 0. Determine m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oafaapuouu. Give prob of picking 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*i - 49*i - 8. Solve 0*c + i*c = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 13*o + 18. Let r(d) = 25*d + 562. Let n be r(-23). Calculate k(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5067 and -7290.\nAnswer: -36938430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-70)\/(-21))\/((-2)\/606). What is p rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 less than -6.7013?\nAnswer: -657.7013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose 5 = o*m + 3*m - 5*d, -2*m + 8 = d. Solve m*b + 0*b = 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + u - 8 = 0, -w + 5*u - 60 = -77 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20201326 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6843.16ml to litres.\nAnswer: 6.84316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1838867.\nAnswer: 179, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-14))\/((-187)\/10461528*162)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 103*g**2 + 50*g + 141. Give k(52).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 8*g**2 - 2*g - 10. What is the remainder when 41 is divided by m(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:15 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 3:37 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 18*t**2 + 19*t - 15. Let x be o(-17). Let a = 61 + x. Calculate the remainder when 80 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1445 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 408?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 115.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-111)\/6)\/(35113\/(-7592)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 43. Let s = -33.9615 - k. Let g = -0.049 + s. What is g rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 37*q**5\/30 + q**4\/12 - q**3\/6 + 7*q**2. What is the units digit of f(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -24. Let f be (11\/(-1))\/(1\/(-18)). What is the highest common divisor of f and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p)**(-23)\/(p*p**1*p)**43*((p**1\/p*p)\/p)**(1\/28)*p**(-4)\/p**0 assuming p is positive.\nAnswer: p**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9 - 14*m - 2 + 5*m. Let g(v) = -5*v - 3*v + 6*v + 3 + 2*v - 4*v. Give 5*g(c) - 2*n(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5320*w + 37244. Calculate s(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 4 - 22 + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1977\/136186 + 1\/914. Which is greater: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 17. Suppose 9 = -3*q, x*u + 5*q + 4 = 5. Solve -31 + 11 = -4*p, u*p - 15 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -7, 2264*t - 2259*t = 5*j - 3*j - 39 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(160\/420)*2\/(-35)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3953*b*f**3 + 2*b*f**2*j**3 - 326*b*f*j - 4548*f**3*j**3 + f**3*j**2 - 20*f**2*j + 259*f*j**3 wrt f.\nAnswer: -23718*b - 27288*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 - 133600*w - 400791 = 0 for w.\nAnswer: -133597, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/138 - -2815\/276. Find the common denominator of 18\/(-22) + (-4)\/8 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - f**2 - f - 4. Let s be n(0). Let b be 1237\/1 + 3\/4*s. Let t = b - 741. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2164*d + 2226 + 1078*d**3 - 2164*d + 912*d**3 wrt d.\nAnswer: 5970*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p = -1289 + 165 - 286 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 142a7 (base 11) to base 6\nAnswer: 234032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51810 + -28849. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 8:43 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.05, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -122, -1, 17 in ascending order.\nAnswer: -122, -1, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/(-15)*51\/(612\/24)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 3. Let h be 2\/(-7) + 6\/21. Let d be j(h). What is the highest common factor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let o be ((-1)\/10)\/(l\/(-10)). Let a = -0.9 - -1. Sort a, 2\/17, o.\nAnswer: o, a, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 0 + 13 + -17 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 3. What is the remainder when 47 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -20, -40, -68, -104, -148?\n\"Answer: -4*b**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v**(-2\/3)\/v)\/v)\/v))\/v)**(-1\/32)*(v\/(v\/v**(2\/3)*v))**6*v\/((v**(-3)\/v)\/v)*v**(2\/11)*v*v*v*v**(2\/5)*v*v*v**(-3) assuming v is positive.\nAnswer: v**(34147\/5280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8*-6 + 0. Let o(u) = -2*u + 3. Let t(p) = -p + 4. Let q(v) = 3*o(v) - 2*t(v). What are the prime factors of q(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + w + 0*w)*(-5*w + 4*w + 2 + 1).\nAnswer: 4*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 0.09. Let l = f - -21.02. Let w = 18 - l. Which is the closest to w? (a) -0.3 (b) -0.2 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000841537817 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 436803776 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, d: 1, e: 4, b: 5}. Give prob of sequence deeb.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3021874?\nAnswer: 2, 19, 281, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14318858*a**2*y**2 - 40*a*y**2 + 38*a*y - 5*a - 14*y**2 wrt a.\nAnswer: -28637716*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1621 divided by 12?\nAnswer: -1621\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + 199ee?\nAnswer: 19a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 j when three letters picked without replacement from {w: 1, j: 3, o: 1, s: 3, i: 6}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 14072.9012 to the nearest 10.\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037056072 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36228*m + 33969*m + 19*m**2 - 70197*m.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -14714 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44731330.\nAnswer: 2, 5, 7, 349, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59743 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 9*f**2 - 10*f + 4. Let n be -4*(1\/2 + -3). Let s be a(n). Let h(k) = 4*k - 10. Is h(s) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 16) in base 12?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7. Let t(r) = 8*r**3 - 7*r**3 - 10 + 2*r + r**2 - r. Give t(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 5*l - 0*h - 3*h, h = 5*l - 315. Suppose 58*x - 60*x - l = 0. Let p = x - -33. Solve p*n + 2 + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3, -3*i + 59 = 3*v + i. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 16, -3, 3, -20, 89, 0 in descending order.\nAnswer: 89, 16, 14, 3, 0, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5 - 152*o**4 + 1504*o**3 - 2228*o**2 - 1502*o + 2380 = 0. Calculate o.\nAnswer: -85, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h**2 + 5*h + 5. Let s be b(6). Let l = 3177\/11 + s. Sort 2\/5, 0.2, l in decreasing order.\nAnswer: 2\/5, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -8, -4*y + 3*a + 30 = 6. Suppose -15 = -2*x - 5, 4*x - 44 = -y*n. Let q(k) = 3*k - 10. Give q(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9006784463.61 from -0.47.\nAnswer: -9006784464.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 6:45 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17578847 and 429?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggel when four letters picked without replacement from {e: 2, l: 1, b: 1, g: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*c - 29*c - 2*c**2 + (0*c + c**2 + 0*c)*(-1 + 3 - 1) + (5 + 2*c - 5)*(-27 + 27 - 7*c) - c**2 + 7*c**2 - 2*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Suppose u*d - 1160 = -d. Is d\/14 - (-6)\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/95 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/2 - 11*u**2\/2 + 81*u - 180 = 0. Calculate u.\nAnswer: -20, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3176664 and 72?\nAnswer: 9529992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2347*f**3 - 3118*f.\nAnswer: -14082*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -7\/41, 3, 50, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 34, -5, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*n = 20 + 16, 0 = -j + 2*n + 20. Let r = j - 8. Suppose -s = -2 - r. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 - 2.1. Which is the nearest to 1\/2? (a) j (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 13*h**2 + 14*h - 8. Let a = 45 + -27. What is the smallest common multiple of a and l(12)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, 2*c = 4*l - l - 30. Put 1, 4, l in descending order.\nAnswer: l, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cckkuucfepeek. Give prob of picking 1 p, 1 f, and 1 k.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -38*c + 3. What is a(3)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 26*q + 7*q + 27*q + 7*q + 43*q. Let a(d) = d**2 - d + 1. Let m(k) = 2*k**2 + 3*k - 3. Let w(r) = 3*a(r) + m(r). What is w(v(l))?\nAnswer: 16245*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1546067 (base 9) to base 2\nAnswer: -11010001010100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 658.1277 to the nearest ten.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 78. Solve 2*o = -1 - k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p = 27*p - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593761768?\nAnswer: 2, 74220221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-45) - 2344\/(-18). Suppose -l = -1 - 0, -4*l + d = 3*c. Calculate the remainder when c is divided by 3\/1*(-33)\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77, -47, -17, 13?\n\"Answer: 30*u - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-20))\/(2\/12 + 238\/(-2184))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 33. Let o be c(10). Let x(u) = 6 - o - 84*u - 18. Is x(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 11:56 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 4*l**2 + 72*l**3.\nAnswer: 72*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1.7 (b) -0.066 (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2\/5, 64, -5, 5, -1\/5, -1\/20?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 8*w**2 - 53*w - 387. Give o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = c - 48643 + 48634, 0 = 3*c - 5*b - 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n. Let w(z) = 3*z + 17. Let b(s) = s + 6. Let y(i) = 17*b(i) - 6*w(i). Determine g(y(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 3. Let p(s) = -s**3 + s**2 + 2*s + 1. Give p(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 4, u: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -0*f - 2*f. Let w = 167 + f. Calculate the least common multiple of w and 45.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -34*u**2 + 4*u + 8. Let b(o) = 16*o**2 - 2*o - 4. Determine -13*b(j) - 6*n(j).\nAnswer: -4*j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_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: Work out -1902665.5437973 + 0.1.\nAnswer: -1902665.4437973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 3*b**4\/8 + b**3\/2 + 31. Suppose w(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/(-78))\/((-15)\/9 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 6*q + 1. Suppose r + r = -2*t - 2, 3*r + 23 = t. Let a(m) = m**2 - 9*m + 19. What is the remainder when z(r) is divided by a(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47 and -1531.5?\nAnswer: 71980.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 289*b**2*c - b**2*r - 2*b*c*r - 65527*b*r + 19*b + 423*c + 2 wrt c.\nAnswer: 289*b**2 - 2*b*r + 423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-936)*26)\/65\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 101 - 52 - 1410*n**2.\nAnswer: -1410*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50, 265, 622, 1121, 1762, 2545, 3470?\n\"Answer: 71*d**2 + 2*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(0 - -1*4). Suppose -4*w - 4*n + 24 = -5*n, -41 = -5*w + 4*n. Calculate the remainder when (t\/10)\/((-6)\/(-105)) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c705 (base 14) to base 13\nAnswer: 3b780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 240 and -190679 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lldd when four letters picked without replacement from {c: 11, d: 4, l: 4}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, t: 3}. Give prob of picking 2 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 6\/17, -1, -2, 3\/53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -0.4. Let q = -0.3 + g. Let r = -1 - -2. Do q and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13534008, 13534019, 13534036, 13534059, 13534088, 13534123?\n\"Answer: 3*i**2 + 2*i + 13534003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n - 1096. Calculate m(85).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 35 + 8 + 2*x to the form o + d*x and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 394118391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*r**4 - 11*r**4 + 14*r**4 - 4*r**4 + 5*r**4 - 3*r**4 + (-r**3 + 1 - 1)*(r + 3*r - 2*r) + (4*r**2 + 0*r**2 - 2*r**2)*(-2 - 2*r**2 + 2).\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61 + a?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2089*a + 518 = 2126*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11751431563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (8 + -3 + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 349633 divided by -4?\nAnswer: -349633\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:36 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302566.\nAnswer: 2, 11, 17, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87521, 178285, 269053, 359825?\nAnswer: 450601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -87*a - 31. Let d(z) = -z**2 - 10*z - 32. Let x be d(-8). Is n(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431511 to the power of 1\/2, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3644422 and 847540?\nAnswer: 36444220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 563, 1974, 4351, 7688, 11979, 17218?\nAnswer: 23399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136026263 (base 7) to base 4.\nAnswer: 202020221213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/((-1)\/2). Suppose -4*o = -12 + 4, a + 2*o - 3 = 0. What is the nearest to 0.3 in 2, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 - -25.994882.\nAnswer: 145.994882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.256135668 rounded to two decimal places?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**10\/2160 - t**7\/504 - t**4 - 16*t. Let m(p) be the third derivative of h(p). What is the third derivative of m(z) wrt z?\nAnswer: 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*c - 6. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.76 - 0.04. Let o = p - -0.8. What is the nearest to 1\/4 in o, 1\/4, 2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 3*j + 3, 11 = -4*v - v - j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165494*i**2 + 171688*i**2 - 9 - 580*i + 9 wrt i?\nAnswer: 12388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(1232\/(-11)))\/(1*4\/(-1148)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 19. Suppose 0 = -r*h - 2 + 18. Suppose o = -3*x - 12 + 51, o + h*x - 41 = 0. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -1. Let n = -59.1 - -55. Let p = -0.1 - n. What is the nearest to r in p, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.956485 decades to millennia.\nAnswer: 0.05956485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 18334221.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5034002*s + 4708275 wrt s.\nAnswer: 5034002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 19. Let g(k) = 2*k - 18. Let j be g(12). Let n be (j\/9)\/((-2)\/(-9)). Put -2, d, n in decreasing order.\nAnswer: n, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 + 11 + 22*w - 20*w)*(3 - 2 + 0) to the form f*w + l and give l.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = h - 40, 143 = 5*h - 2*l + l. Suppose 4*t = -a - 12, a + a - h = 5*t. Solve -4*c = -3*c + a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-57)\/15)\/(1\/(-5)). Let l = 19 + c. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -4\/47, 0.4, 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9460 is divided by 1587?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 - 0.95. Let f = 0.05 + -0.15. Let u = 31 + -30.93. Which is the third smallest value? (a) u (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -1\/6, 25, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 17. Suppose 3*j = 2*f + 3, 6 = 4*j - f - 3. Suppose 1 + 2 = j*i. Sort 4, i, u in ascending order.\nAnswer: u, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 3*g**2 - 14*g - 5. Let p be l(-6). Let o = 6 - p. Let c(a) = -8*a - 5. Let y be c(-5). Calculate the highest common divisor of o and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 + 1.7. Sort q, 2, 2\/7 in decreasing order.\nAnswer: 2, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from ppppupupppupup?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:58 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 16 = -7*c + 3*c, 3*c + 12 = -4*r. Let n = 0.57 - 0.07. What is the nearest to 2\/3 in r, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*v + 31 - 35, 2*v + 2 = -4*l. Is 569 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 137*o**4\/24 - 24*o**2 + 1. Let j(k) = 2*k**2. What is p(j(g))?\nAnswer: 274*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*x + 72*x + 0*x as s*x + h and give s.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 138866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*q = 23, q - 2*q = -5. Suppose -5*r - 5*i = -610, 5*r - 607 = o*i - 4*i. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -4*w - 5*k + 40, -4*w + k - 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -755*k + 11523*k + 9099*k + 4036*k.\nAnswer: 23903*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-3) - (-5)\/(-45)*6. Is q > 20\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5262840 is divided by 210513?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1035338 to three dps.\nAnswer: -0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 110\/4*(-72)\/(-45). Suppose -k - 21 = -13*f. Factor 0 - 8\/5*j**3 + 4\/5*j + 4\/5*j**f + 0*j**4 + 0*j**2.\nAnswer: 4*j*(j - 1)**2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -61118, -61116, -61100, -61070, -61026, -60968, -60896?\n\"Answer: 7*h**2 - 19*h - 61106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 w when three letters picked without replacement from {s: 2, u: 1, y: 1, x: 2, w: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -1012110010013?\nAnswer: -1012110010031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 65 + 79 = 0. Suppose 2*r = -0*y + 5*y + 35, -3*r + 3*y = -z. Let j be 3 - (3 + r\/(-3)). Solve -5*b + 30 = j*g, -4*g + b = -10 - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(sqrt(288) + 0) + (-4 + sqrt(96)\/sqrt(3))**2*-4.\nAnswer: -192 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000000 + 100000011?\nAnswer: 1100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 5*l. Let p(t) = -t. Calculate a(p(d)).\nAnswer: d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0.5, 1, -10\/91?\nAnswer: -10\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935*y + 57*y + 878*y + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/63? (a) 4\/29 (b) 0.5 (c) 0.4 (d) -0.09 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 - 49 + 54 = -27*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 - 3*p + 1. Let y be l(1). Suppose 0 = -5*c + i + 11, c - y*i + 0 = 6. Solve -11 + 1 = -c*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 6. Let m be f(3). Suppose -3*l + 5*l = 3*v + 21, 0 = 5*v - m*l + 36. Let i = v + 12. Solve -b + 2*j = 5*j - 2, i*j = 5*b + 26 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**4 + 691*d**3 + 3862 wrt d?\nAnswer: -4*d**3 + 2073*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*b + 279*b - 16*b - 38*b - 2.\nAnswer: 325*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 13*g + 25. Let u be m(11). Let l(r) = 5*r**2 + 2 + 6*r + u*r**2 - r**3 + r**2. Is 8 a factor of l(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -222454*l. Let h(g) = 22*g**2 + 1. What is h(t(y))?\nAnswer: 1088687206552*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74820 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1673, 4342, 8789, 15014?\nAnswer: 23017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 29*k**2 - 44*k - 259. Let p = -2 - -3. Calculate the smallest common multiple of h(27) and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (286153\/(-84))\/(28\/(-336)).\nAnswer: 40879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4629609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 3*j**2 - 26*j + 29. Determine t(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 875 and 1050?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 1\/5, 6\/77, 3, 1\/3, 0.4 in descending order.\nAnswer: 3, 5\/4, 0.4, 1\/3, 1\/5, 6\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71aa6 (base 15) to base 16.\nAnswer: 57edc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 - 6 + 5*d - 10*d - 2*d**2 + d**2. Let k(u) = -u**2 - u - 1. What is -5*k(g) + v(g)?\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(3290\/350 + -9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 + 1da20?\nAnswer: 1da53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 73*t**7\/14 + 85*t**4\/6 - t - 4. Find the third derivative of d(s) wrt s.\nAnswer: 13140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 5*c**2 + 2. Let f be m(5). Does 10 divide 20\/1 + -2 + f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 2*q - 6. Give v(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -141*(46\/207 - 10\/18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212358319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y - 14 = -q, 2*q = -y + 63. Let c = 2 - -3. Suppose 18*f - c*f = 442. Is f greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3334928 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/45 equal to 2\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, s: 3}. What is prob of sequence sssr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -13. Let z = 0.135 + 0.065. Sort -2\/7, -1, i, z in increasing order.\nAnswer: i, -1, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 13*i**2 - i + 5. Let q be p(13). Let k be 85*1*q\/20. List the prime factors of (k\/(-4))\/(9\/18).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/4 - g**3 + 3*g**2\/2 + 3*g - 14. Is 5 a factor of s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**3 + 78*a**2 + 147*a + 711. Determine w(15).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9635, -9641, -9647, -9653?\n\"Answer: -6*b - 9629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5038 (base 11) to base 13.\nAnswer: -3081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.0904845 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-six fifths of a kilometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8 + 188*a**2 - 5 + 36*a**2 - 3 + 86*a**6 wrt a.\nAnswer: 10320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q + 54. Let j be (-9 - -12)*(104\/8 + -12). What is the highest common divisor of q and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 + 8 = 3*i, 0 = 2*i - 5*q - 2. Suppose 7*b - 4*b - 6 = 3*s, -2*b - 3*s = i. Suppose 2*f - 80 = -b*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 = 5*p - 1, -5*p + 2*o = 18. Let n be 5 + p\/(-8)*0. Solve -14 = n*a + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 975 = 925 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3338951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 + (-2 - (-4 - -7)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 21 = 17. Does 17 divide 3 - (g - -4) - -33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2 - 1631593*p - 8157940 = 0.\nAnswer: -1631588, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 2*d**3 - 1\/2*d**2 - 11\/2*d = 0 for d.\nAnswer: -1, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -7, -11, -15, -19, -23?\n\"Answer: -4*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 - -10. Suppose -n*p - 12 = -107*p. Solve -3*q = p*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/770 or -121?\nAnswer: -1\/770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98\/3 - -33. Let g = 1.7006 - 1.7706. What is the nearest to k in g, -2, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000111010011101 + -100111001?\nAnswer: 1011000110101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 7*t**2 - 218. Let h(a) = -20*a. Give h(o(n)).\nAnswer: -280*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 23*f - 73. Determine i(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 386536*m - 18676259912.\nAnswer: -2*(m - 96634)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45089 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let m = v - 1.1. Let t = 172.2 - 176.2. What is the closest to -6 in 2, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1)*a*a*a**(-2\/7)*a*a assuming a is positive.\nAnswer: a**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.3, 0.5, 0.28, -2\/31?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t - 3*t)*(-3 - 1 + 1)*(-31*t**2 - 42*t**2 + 2 + 75*t**2 + 244*t).\nAnswer: 12*t**3 + 1464*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.1358830752 and -0.03.\nAnswer: 2.1058830752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79a380 (base 11) to base 8.\nAnswer: 4666067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2059 + 2a781?\nAnswer: 28723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13.4 times 2.11\nAnswer: -28.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (36\/540)\/((-3)\/6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63552a (base 11) to base 13\nAnswer: -2981ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31718, -62861, -93988, -125099, -156194, -187273?\n\"Answer: 8*c**2 - 31167*c - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, r: 11, e: 2}. Give prob of sequence reg.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y**5 + 291140*y**4 + 4734155*y**3 + 16726610*y**2 - 15940540*y - 5811400 = 0.\nAnswer: -8302, -10, -7, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1490 by 298.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2209, 4644, 7097, 9568?\n\"Answer: 9*u**2 + 2408*u - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (442\/(-39))\/(-17) + (3 - 2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*((-1)\/(14\/4) + 36340\/(-1288)). Is 270 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + -6 - (34 - 63 - -27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 16*f = -18*f - 24530, -f = -r + 6132. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 9105.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -0.44. Let h = -0.42 - -0.08. Let q = h - z. What is the closest to 1 in q, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14708850.4 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 20*v - 175. Let o be p(9). Let x(j) be the first derivative of -1\/25*j**o + 0*j**2 - 10 + 0*j - 1\/20*j**4 + 1\/15*j**3 + 1\/30*j**6. Factor x(y).\nAnswer: y**2*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 740 divided by -5\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*j + 7*j = -2*j - 4*j - 30, -3*j = 2*f + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3278, -4, 0, -10, 3, -5 in decreasing order.\nAnswer: 3278, 3, 0, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 301176.\nAnswer: 1\/100392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(102) + (-1*(sqrt(102) + sqrt(102)*2) - sqrt(102)))\/sqrt(6) + -2 - ((sqrt(17) + sqrt(816)\/sqrt(3))*-3 - (-6*(-3*sqrt(68) - sqrt(17)))**2).\nAnswer: 12*sqrt(17) + 29986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 325584547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 796, 1594, 2392?\nAnswer: 3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 14. Let t(q) be the first derivative of -1\/2*q**2 + b*q - 1. Let i(o) = 2*o. What is i(t(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/946 and 81\/344.\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -43140?\nAnswer: 43141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1414058 is divided by 128550.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - 2721336.\nAnswer: -2721344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*y = -54, -3*k + 6*k = 4*y + 51. Let n(f) = -f**3 + 23*f**2 - 44*f + 36. Give n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 36\/72*(1 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/7 - 6256*s\/7 - 11570 = 0. Calculate s.\nAnswer: -3115, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -32*(3 + -2 + -2). Suppose -2*b = -6*b + q. Let u = 14 - b. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3448 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 2. Let q be g(0). Let w(h) = -h**2 + 12*h - 29. Let p be w(8). Solve p*l - 13 = q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 74*d - 4. Let y(j) = 3*j**2 - 73*j - 3. Give 2*p(c) - 3*y(c).\nAnswer: -c**2 + 71*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 4.5. Let j = 10 - 13. What is the closest to -2 in j, -5, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4 = -1, 0 = i + 5*m - 8. Suppose -i*w + 8 + 11 = -4*q, -4*q = -5*w + 29. Calculate the smallest common multiple of 13 and w.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3519975 is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*z**4 + 658*z**3 + 86*z + 5188299 wrt z?\nAnswer: -16*z**3 + 1974*z**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 9 - 8 - (7 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0568 + 0.0568. What is the closest to -1 in u, 11, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 55*a + 4. Let j = 133 - 83. What is the smallest common multiple of r(0) and j?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10) + 21939\/(-1065)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 667, -2826, -6303, -9758, -13185?\n\"Answer: q**3 + 2*q**2 - 3506*q + 4170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1071752 by -88.\nAnswer: -12179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-46)*72*98\/12936?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43232, -86466, -129702, -172940, -216180, -259422, -302666?\nAnswer: -345912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/11 in 2, -1, 4, -31, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1856*i**3*p + 348*i**2*p wrt i?\nAnswer: 11136*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*n + 2*h, 5*h + 20 = 25. What is the hundreds digit of (-7079)\/(-10) + n\/190?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1103 and -4288666018.\nAnswer: -4288666017.8897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.488 - -36.48798427. Round y to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-5))\/(138\/(-20)). Let r = 14\/115 - t. Let d = -58\/135 + 8\/27. What is the smallest value in 2\/3, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2675 - 2684. Let g = -4.7 - -5. What is the biggest value in g, d, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 55. Let q = 7 - f. What is the second biggest value in q, -0.5, -3\/7, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3 - 4890*v**2\/7 - 737000*v\/7 = 0.\nAnswer: -3350\/7, -220, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, x: 2, v: 1, w: 3, n: 7}. Give prob of sequence pn.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-78)*66\/(-4). Let s = q - 1\/182. What is the closest to 3 in 2, s, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/((-16)\/(-4)))\/((-4)\/(-40)). Suppose 0 = 5*q + r - 17, -q + 5*r + 2 = 3*q. Solve -i + x*l + 24 = 5, i = l + q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 13*g - 1. Let m be j(-4). Let y = -38 - m. What is the units digit of y\/3 + 0 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 d when three letters picked without replacement from mmeqmdmmedmdmdm?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-1 - -2)) + (-6 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 6:01 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205335 and 140608845?\nAnswer: 1265479605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 48a6?\nAnswer: -48a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-67)\/2)\/((-11)\/22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 274*x = 270*x + 55, -2*x + 10 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 divided by 12.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (440 + 18*q - 440)*(-39 + 68 - 7)*(-q + q - 2*q**2).\nAnswer: -792*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from wdstwiwzzwzzw?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -63*h + 1\/3*h**6 + 0*h**2 - 5\/6*h**4 + 0 - 5\/14*h**7 + 3\/4*h**5 + 0*h**3. Suppose o(f) = 0. What is f?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -274075 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/15)\/((-6)\/10). Let z = -120\/19 - -8002\/1273. Which is the third biggest value? (a) 2 (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11006259 or 11006250?\nAnswer: 11006250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*a - 0*a. Let o = 1 - 1. Suppose -a*j + 32 - 7 = o. Let x(s) = -s**2 + 6*s - 2. Determine x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 88*h + 1919. Calculate the remainder when 432 is divided by k(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/2, -46.6, 159?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -74 + 2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:37 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7031229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 4, -28, -40, -26, 20?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -11. What is the first derivative of -19*l**2 + 17*l**i - 6 - 17 + 40*l**2 wrt l?\nAnswer: 76*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + -7 + (-15 - -16) + 18 + -9.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.45 - 0.96. Let i = -0.66 - w. Let z = i - -0.14983. What is z rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.68 - 6.32. What is the nearest to l in -2, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2268) + (sqrt(2268) - (2 + sqrt(2268) + -3)) + sqrt(2268) - (-4 + -2*sqrt(2268)))**2.\nAnswer: 720*sqrt(7) + 36308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5724*t**2 + 14*t - 2. Let h = 490 + -473. Let c be z(h). What is c rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -31, -26, -1, 50, 133?\n\"Answer: t**3 + t**2 - 19*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -20 - (-1 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1524 and -9\/331724.\nAnswer: 995172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wts when three letters picked without replacement from onotwooohhswooonw?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 565341248 to the power of 1\/3, to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 6*b - 3*n - 3, n = 4*b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015896 to five decimal places.\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 660.1984 milligrams?\nAnswer: 660198.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 33*j**2 - 105*j - 4. Let q(r) = 3*r**2 + r - 1. Determine i(a) - 4*q(a).\nAnswer: 21*a**2 - 109*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*f + 199216 - 197516 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -12670.115176239.\nAnswer: -12669.615176239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 61, 256, -3, -1, 11 in descending order.\nAnswer: 256, 61, 11, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rislisrb. Give prob of picking 2 r and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -2. Let g be ((-21)\/d)\/7*-15. What is the second derivative of 8*y**3 - 6*y**5 - y - 13*y**3 + g*y**3 wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19422189.4 + 19421111.40623. Let n = t - -1078. What is n rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 12*o - 10. Suppose 0 = 40*t - 5*t - 455. Give d(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596408 is divided by 148733?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and -16.246455?\nAnswer: 27.6189735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80275\/46 - -1744. Find the common denominator of p and (-66)\/160 - 18\/45.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.387 in 2, -3\/13, -5, 0.055?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -874, -874, -868, -850, -814, -754, -664, -538?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**3 + 15*i + 167 - 11*i**3 + 7*i**3 - 17*i + 129 + 2*i**2 in the form t*i**2 + p + u*i + m*i**3 and give p.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 - -1.76. Which is the second smallest value? (a) p (b) -1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 561*t**5 + 388*t + 4 wrt t.\nAnswer: 11220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 + 4 - 84*x + 71*x + 0 + 3 + x**3. Let n(g) = -4*g**3 - 40*g**2 + 64*g - 34. Let d(c) = 14*k(c) + 3*n(c). Factor d(t).\nAnswer: 2*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/39 and 55\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23161 - 23135. What is the remainder when 15752 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 18815 (c) 3 (d) 505\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {s: 9, e: 3}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010111011100011 (base 2) in base 12?\nAnswer: -6a96b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - (28 + -9)) + -21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-25)\/k)\/k**(-22\/9)*(k\/(k**(1\/7)*k))\/k**(2\/65) assuming k is positive.\nAnswer: k**(-97171\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 20*x**2 + 160*x + 1519. What is f(-8)?\nAnswer: 1519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1000446 and -107 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1043, 2126, 3209, 4292, 5375?\n\"Answer: 1083*w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2632 is divided by 1298?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 394592 + -261941. Suppose 1\/4*a**4 + 7803\/2*a**2 + l*a + 6765201\/4 + 51*a**3 = 0. Calculate a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.472601 and 661940.\nAnswer: 661939.527399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2873 - 12642 = o, -3*i = -2*o - 30985. What is o rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*g**2 + 0*g**2 - g**2)*(0*g - 2*g + 4*g) + 2*g**3 - 3*g**2 + 3*g**2)*(56 + 17*g - 56).\nAnswer: 102*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+1.108\nAnswer: 0.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 10*q - 11. Determine i(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 4*v. Let l be ((-6)\/15)\/((-5)\/125). Let r(m) = -m**3 + 11*m**2 - 9*m - 14. Let f be r(l). Determine d(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103589 by -4892.\nAnswer: 103589\/4892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902238292 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4917 = 595*c + 534*c - 2740 - 1375 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*-3*((sqrt(1088) + -5 + sqrt(1088)*2)**2 - (sqrt(1088) + (-1*sqrt(1088))**2 + 1))*6*5.\nAnswer: -11782800 + 334800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + j - 4, -6*j + j + 20 = -3*k. Suppose k = -3*i + 40629 - 13629. Round i to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*i**2 - 14*i**2 - 275*i**3 - 190*i**4 + 10*i**2 + 15*i**5 - 5*i**2 = 0 for i.\nAnswer: -1, -1\/3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 - -3 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -4. Let a(l) = -l**3 - 3*l**2 - 26*l - 73. Calculate the remainder when g is divided by a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616 is divided by 444.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40057914.00019 - -40058557. Let r = k - 643. Round r to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-8656)\/(-360) + -23.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6)\/((-1)\/(-3)). Suppose -259*v = 43*v - 604. Sort -4, k, 21, v in decreasing order.\nAnswer: 21, k, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17542 or 17543?\nAnswer: 17542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbcbbc. Give prob of sequence ccb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-228 + 4 + -2)\/(-2). Suppose s*u + 2 = 114*u. Solve -4*q = 2*k + 1 - 3, -5*q + u*k - 11 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t - 2*j - 2210, 3*j = 4*t - 2207. Suppose -2*f + 374 = -5*p, 0 = 3*f - 2*p - 2*p - t. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f + 5*n - 164, -4*f - 2*n + 84 - 204 = -0*n for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13312 - 10120?\nAnswer: -30032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7205.\nAnswer: 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -227, -343?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4\/4 - 1641*z**3\/2 - 863595*z**2\/4 - 13788242*z - 13573164 = 0?\nAnswer: -124, -1, 3531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/300 + ((-38)\/456)\/(1\/4)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - accea3?\nAnswer: -accea7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-3 - (9 + -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9450 - 12636 + 3187 - 107*d**3 + 36*d**3.\nAnswer: -71*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.53 + 2.17. Let r = 1.3 + w. Put 3, 0.5, r in increasing order.\nAnswer: 0.5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l**5\/7 + 208*l**4\/7 + 166*l**3\/7 - 388*l**2 + 336*l = 0. Calculate l.\nAnswer: -4, 0, 1, 14\/5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.97 - -0.03. Let w = -2.86 - -2.36. Which is the biggest value? (a) w (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 400, 613, 848, 1111, 1408, 1745, 2128?\nAnswer: 2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 939077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*t + 424, 2*t + r - 212 = -2*r. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 68 = 3*o. Suppose o*z - 5*b = 3619, 5*b = 3*z - 8*z + 4490. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*z - 14 = 0, -5*z + 12 = -0*j - 3*j. Let d = -47 - -18. Let p = -32 - d. Which is the nearest to p? (a) 2 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syss when four letters picked without replacement from {y: 2, f: 6, s: 11}?\nAnswer: 55\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2805)\/1890 + (-11)\/154?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4608147 + 26391853. What is h rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/206*(2 - 0)*(-7)\/2. Let h(o) = -o**3 - 4*o**2. Let g be h(-4). Is g at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -14. Let m = 14 + -7. Let n = m + u. Which is the third biggest value? (a) -0.5 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 4*s + 1. Let d(u) = -17*u + 142. Let k be d(8). What is a(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162.2 - 162. What is the nearest to 0.73 in j, 0, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/4*1\/(-12)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 610590*g - 39077759. Give z(64).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 307824169673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. What is the third derivative of -a*c**5 - 15*c**2 - 5*c**5 + 7*c**2 wrt c?\nAnswer: -540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1105.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5+-1256.7339548\nAnswer: -1251.7339548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 246*w + 241*w + 4 = 0, y = 5*w + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3150 by -25.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -60. Suppose -2*i - 3*i = -3*r - 21, 0 = 2*r + 3*i - 5. Which is the nearest to g? (a) 2\/3 (b) r (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 397*r**4 - 40167*r**5 - 225*r**4 - 172*r**4 + r**3 - r**3 - 2*r**5 + (0*r**2 - 4*r**2 + 2*r**2)*(r**3 - 6*r**3 + 3*r**3) + r**2 - r**2 + 2*r**5.\nAnswer: -40163*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-16)\/(-6))\/(-8)*(0 - 183) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 - -213.99. Let h = 183.5 - t. What is h rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.6526 * -5.5\nAnswer: 14.5893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 229*m**2 - 5*m + 1132. What is w(229)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57909864 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/7 and 4505\/1560 + (-1)\/(-26)*4.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 17. Let m be q(13). Suppose -5*g + 2*g = -2*l + 7, m*l + g - 21 = 0. What is the remainder when 12 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 13*p + 120 = 4*p. Solve 3*b + 4*u + 9 + 2 = 0, 0 = -4*b - 5*u - p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329741439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2137*k**2 + 2139*k**2 - 8564*k**2 + 2150*k**2 + 2141*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15631 - 9006. What is the greatest common divisor of u and 1060?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - d)*(3 + 0 - 4)*(-13*d**2 - 8*d**2 + 8*d**2).\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, p: 2, z: 4, r: 1, s: 4}. What is prob of picking 2 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -9. Let c(w) = -106*w + 118. What is the lowest common multiple of q and c(1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {w: 1, h: 2, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/7)\/r)\/r*r*r*r\/((((r\/(r\/(r*(r\/r**2*r)\/r*r))*r)\/r)\/r)\/r)*(r**0)**13 assuming r is positive.\nAnswer: r**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2*w + 4*w)*(-2 + 3 + 1) + 0*w - 10*w - 1372 + 1380.\nAnswer: -14*w + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m - 2 = 0. Is m bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**5\/30 + 122*n**4\/9 + 484*n**3\/9 + 154*n. Factor z(w).\nAnswer: 2*w*(w + 2)*(w + 242)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2\/11 - 4336*v + 811410\/11 = 0.\nAnswer: -23865, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/21)\/g**(-5) assuming g is positive.\nAnswer: g**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**5 - 18699*x**4 + 18699*x**4 + 27*x**3 - 279*x**2 + 18*x**3 wrt x?\nAnswer: -60*x**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 11:23 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Let y be 6 - 1 - ((7 - s) + -2). Suppose 6*j + 25 = j, -y*f = -3*j - 330. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, 1 y, and 1 o when four letters picked without replacement from nyvyhhonnypphnn?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3468 and 75476.\nAnswer: 65437692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, z: 2, a: 3}. Give prob of sequence ezaa.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -59, -88, -119, -152, -187?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4489450 is divided by 969?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 3*y + 23. Let g be j(0). Suppose -g*l + 19*l = -118000. Round l to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-8)*u**(-4\/5))\/((u\/(u**(3\/10)*u))\/(u\/u**(4\/5))))**(-12))**(-11\/7) assuming u is positive.\nAnswer: u**(-5478\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1563154300 to the nearest 100000.\nAnswer: 1563200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -13*h - 4*k + 40, 2*k + 92 = 3*h. Find the third derivative of -h*o**6 + 13*o**2 - 55*o**2 - 87*o**6 - 9*o**6 wrt o.\nAnswer: -14880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -561 - -561.00000349. What is y rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + ((-40)\/7 - 28\/98) + 9. Let m be (3\/(-24))\/((-2)\/84). Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -16. Differentiate g - 3 + 312*g**2 - 319*g**h - g wrt g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 16*k + 22. Give m(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 4 - (7 - 3 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, u: 2, w: 4, x: 4, o: 2, p: 7}. Give prob of sequence xxoo.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 12*f**2 - 16*f - 12. Determine v(-13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51616, -51581, -51520, -51421, -51272, -51061, -50776, -50405?\n\"Answer: 2*f**3 + f**2 + 18*f - 51637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*g - 54. Let k be (-9)\/g - (-172)\/(-6). Let u = 52 + k. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -258915 - -1816012\/7. Is u greater than 516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -s + 300 + 7, -5*s = 3*h - 171. Suppose -w + 173 = 2*z, -h = 5*z - 2*w - 499. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 5:27 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 7217\nAnswer: 7217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 13540*c**2 + 8859*c**2 - 283*c + 283*c as p*c + r + v*c**2 and give v.\nAnswer: 22399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6244, 25030, 56330, 100144, 156472?\nAnswer: 225314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 9 (c) 2\/3 (d) -37\/235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171 - 2733\/16. Let p(g) be the first derivative of -3\/2*g + 1\/2*g**3 + 2 + 3\/8*g**2 - x*g**4. Find v such that p(v) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -642*t + 67. List the prime factors of z(-13).\nAnswer: 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4428 = -151*l + 397*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z + 2 + z + 0.\nAnswer: 21*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449298857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1205397 by -5997.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 313294 and 36768.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/27 and 113\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 8847 - 9263. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10734 - 214791\/20. Calculate the common denominator of l and (1\/5)\/(8\/(-230)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/45 + 3\/(-20))\/((-24)\/64). Let g(r) be the first derivative of 4\/25*r**5 + 0*r - 3\/10*r**4 - 8 - 1\/10*r**w - 1\/30*r**6 + 4\/15*r**3. Factor g(j).\nAnswer: -j*(j - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 18 = -2*m, 3*m + 18 = -3*c - 0*m. Put 3, 4, c, 8 in descending order.\nAnswer: 8, 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*x + 4*x - 11*x)*(3*x + x**2 - 3*x).\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8128*w - 13262 with respect to w.\nAnswer: -8128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 48 - 2 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3717)\/(-2891))\/(48\/70)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 393 - 391. Suppose -33540 = -28*f - a*f. Calculate the greatest common divisor of f and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5666*i + 11387. Calculate n(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 2, z: 1}. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/5, 11, -0.1, -96, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -0*j - 4*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 28*w = 299325. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p - 20. Let a(r) = r**2 - 133*r - 676. Let v be a(-5). Let h(x) = 2*x + 4. Calculate v*h(c) + 3*l(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 800471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4872620 or 4872623?\nAnswer: 4872620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 97)*((-508)\/10)\/((-8)\/20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b2ba1 (base 15) to base 16.\nAnswer: 36fd27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5745 divided by 1149\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2*b - 5*s - 43 = -4*b, -3*b - 2*s = 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(3 - 6 + 1)*(-21*t**3 - 3*t**3 - t**3).\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 112590 times 0.107\nAnswer: 12047.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 3*l + 1. Let z be i(-2). Let h be ((-5)\/10)\/(z\/4). Solve -h*d - 3*d - 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 7*y**3\/2 - 1441*y**2\/2 - 10063*y + 22980 = 0.\nAnswer: -15, 2, 1532\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28768?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2622, -5, -3 in descending order.\nAnswer: 2622, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**7\/42 + 6*d**6\/5 - 61*d**5\/5 - 120*d**4 - 800*d**3\/3 - 923*d. Factor f(l).\nAnswer: -l*(l - 20)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1805, 3609, 5413, 7217, 9021?\n\"Answer: 1804*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, o: 3}. What is prob of picking 2 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 669510884.3999647 - 669510314.4. Let q = i + -570. What is q rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*j**2\/5 - 22*j\/5 - 6\/5.\nAnswer: -2*(j + 1)*(8*j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 180589 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26\/1249 - -1121\/126149. Which is greater: w or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.7144 kilograms in nanograms?\nAnswer: 53714400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4182 divided by -3\nAnswer: -1394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r - 8. Let c(t) = -4*t + 5. Suppose -20*w = -17*w - 54. Suppose -2*z = f - w, 0*f = f - 2. Determine z*c(j) + 5*a(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 4*z + 4. Let l be i(4). Let w = -2 + l. Let s = -91 - -91. Solve s = w*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13*p - 1. What is w(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.075 + -0.385. Let g = 1.89 - r. Let k = 1 - g. What is k rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200782184 plus -1399299?\nAnswer: 199382885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.6376 grams in milligrams?\nAnswer: 76637.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -64. Suppose 0 = -g*z - 4*d - 7 + 3, -z - 5*d + 11 = 0. Let l = -1067\/3 + 351. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3465 is divided by 861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424*y + 31*y + 14074 = 61*y. Calculate the lowest common multiple of y and 2604.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 + 4*v - v**3 - 4*v**3)*(3 - 4 - v - 5).\nAnswer: v**4 + 6*v**3 - 4*v**2 - 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.4, 0.1, 0.3, 35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -26) + ((-66)\/18 - 26\/(-39))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l**(-2)*l)\/l*l))\/(l\/l**(-4\/7))*(l**0*l)**48)\/((l**5\/l**(1\/13))\/(l**3*(l**(-2\/15)\/l)\/l)) assuming l is positive.\nAnswer: l**(59203\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/54*(9 + -2)\/((-35)\/21)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -30. Solve 2*j + 3*x - 4 = g, -x + 2 = j - 3*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.9 (c) 0.4 (d) 64932\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3511015 (base 7) in base 15?\nAnswer: -8a45d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3539900 by 54460.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**(-7\/11)\/((x*x**(5\/4))\/(x**(-10)*x)) assuming x is positive.\nAnswer: x**(-509\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -63. Solve -2*y - 2*h + 5*h = p, 3*y - h + 13 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 + 114. Which is the fourth biggest value? (a) 3 (b) t (c) -4\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3)*(-1)\/3. Let x = 8 - 8. Suppose x = -2*t + 5 - p. Solve 0*c = -2*c + t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1854, 3851, 5846, 7839, 9830?\nAnswer: 11819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 9*j**2 - 22*j + 3. Let p be x(-11). Solve -2*f = p*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c3 (base 13) to base 16\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5 - 14*t + 18*t - 3*t. Let f(v) = v + 3. Let i(d) = 8*f(d) - 5*z(d). Give i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 26, 3, 0.06, 2\/5, 1.31, -0.4?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (224\/(-2128))\/((-164)\/76).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4 and ((-4)\/(-4518))\/((-356)\/(-11481))?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssllllsslsls. Give prob of picking 3 s.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 + 4*q**2 + 2*q**3 + 4*q + 7 - 2*q**3 - 3. Let n be u(4). What is the units digit of (-4)\/8 - n\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1\/(-2) + 0). Suppose -r = -0*a - a. Find the third derivative of -4*j**2 - 2*j**a + 3*j**2 + j**3 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1711254 is divided by 5298.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120443023314 + 10?\nAnswer: 120443023324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -36. Suppose s - 484 = 8*v - g*v, -4*v + 3*s - 484 = 0. Let i = v - -358. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 13 = -4*t. Suppose 5*g + 50 = 3*z, -3*z = -g - 6*z - 10. Let j be 3\/5*7\/((-7)\/g). Is j >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - m**2 + 4*m + 3. Let n be w(-2). Let l = n + 28. Let f(a) = a**3 + 5*a**2 - a - 4. Give f(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2034)\/2 - (-2 - -3). Let q = 1697 + r. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = 56. Let k = s + 26. Suppose -3*z = 3*t - t - 6, 2*t = 3*z + 6. Solve -l - 2*l - k = z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 10:58 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/150 - o**4\/20 + 2*o**3\/15 - 15*o**2. Factor k(d).\nAnswer: 2*(d - 2)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**6\/40 - 139*r**5\/60 + 17*r**3\/6 + 991*r**2. Let g(d) = -d**3 + 46*d**2 - 6. What is 17*g(p) + 6*l(p)?\nAnswer: p**3 - 52*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2302721 + 4131081367\/1794. Find the common denominator of -13\/4 and b.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6 + 7*g - g**3 + g - 2*g. Let t = -6 + 2. Is b(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 9) to base 7.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101222 (base 3) in base 13?\nAnswer: -1601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*n - 165 = 32*n + 141 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 24, -52*f + 56*f = -4*h - 4. Let o(i) = i**2 + i + 1. Let w be o(0). Let u = 0 - -0.2. Which is the biggest value? (a) u (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 30 = 2*o - 115, -3*i + 101 = 4*o. What is the remainder when 2 - 2\/1 - (-71 + -9) is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-3 - -2) - -10. Let f(y) = 25*y - 2. Let v be f(x). Is 17 a factor of ((-3)\/9)\/((-3)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111894112426625.0000011 + -111894089800596. Let q = z - 22626024. Let i = -5 + q. Round i to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yykymrnryyyyyyyyyyy. What is prob of picking 1 k and 1 n?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k + 4. Let n(v) = -9*v - 11. Let y(g) = 11*m(g) + 4*n(g). Let b(p) = -8 + 2*p + 8. Calculate y(b(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/330 - 35*r**4\/66 + 1225*r**3\/33 + 15*r**2. Factor l(o).\nAnswer: 2*(o - 35)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.2, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + (-2*sqrt(325) + -2 - (3 + sqrt(325))*2))*5)**2.\nAnswer: 11200*sqrt(13) + 133136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 2. Let c(i) = -7*i + 15. Let m(k) = c(k) + 6*t(k). Suppose -v + 2*z + 4 = -3*v, 0 = -3*v - 2*z - 2. What is m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -276172\/2229 + 122\/3715. Let a = 124 + t. What is the second smallest value in a, 0.4, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -5 (c) -2 (d) 0 (e) -19.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (703\/12)\/(3*6\/(-18)). Let f = b - -58. Calculate the common denominator of -41\/78 and f.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/(-20))\/((-45)\/24). Let v = 91.42 + -28.41. Let y = 63 - v. What is the third biggest value in y, -4, g, 4\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 120*n - 26. Let a(l) = -872245*l**2 + 3*l - 3*l + 872247*l**2. Calculate r(a(w)).\nAnswer: 240*w**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 5*p**2 + 5*p + 5. Let a be z(6). Let d(k) be the second derivative of k**4\/12 + 4*k**3\/3 + 3*k**2 + k. Let w be d(-7). Is w bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = 5*g - 7*p + 2*p, 40*g + 5*p = 42*g - 23 - 17 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 316\/(-3)*3\/(-1). What are the prime factors of m\/10 + (-2)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764046377.\nAnswer: 233, 421, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10390 is divided by 2077.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 8 - 4 = -2*h, 2*h - 12 = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**15\/s)\/s*s)\/s)\/s**(-19)*(s*s*s*(s*s**(-1\/12))\/s)\/s*s**(-2)\/s*s assuming s is positive.\nAnswer: s**(383\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1409, 1482, 1555, 1628?\nAnswer: 1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 156 = -11*a. What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**3 + 14*a**3 - 10*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67697 and 1596?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l\/((l**(-11)\/l)\/l)))*l)\/l*l**(-1\/11))\/(l*l*l*l*l**(-2))**(-23) assuming l is positive.\nAnswer: l**(670\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4029.027 decades to centuries.\nAnswer: 402.9027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*l + 28601 = -6416, 5*r + 3*l = 175109. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 1136688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - h - 3 = 2*h, -3*h = -2*u + 12. Suppose 6 + 2 = 2*t. Let g(v) = -2*v**3 - v**2 + 2. Let i(c) = 2 - 6 + 1 + c**2 + 2*c**3. Determine t*g(o) + u*i(o).\nAnswer: -2*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + 1 + -22 + 69.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 326892328?\nAnswer: 326892328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -69, -124, -181, -240, -301?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10109*c**3 - 4 + 4 + 7703*c**3.\nAnswer: -2406*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**19*b)\/(b*b**(4\/5)\/b) assuming b is positive.\nAnswer: b**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 27. Let s(z) be the first derivative of z**3\/3 + 52. Determine s(o(w)).\nAnswer: w**2 + 54*w + 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 377 - 375. Let b = 15 - -9. Solve -3*r - b = m*z - 8, 5*r = -20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277632132 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59932 + -5.\nAnswer: -59937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24003 (base 6) to base 5.\nAnswer: -102314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -74*m - 836. Let z be c(38). Which is greater: -3647 or z?\nAnswer: -3647","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3039 - -0.3039. What is the closest to 0 in 0.1, f, -5.77?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8183979587.\nAnswer: 7, 18307, 63863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-2\/81)\/(l**(2\/5)*l*l**(-2\/7))*(l**(-3\/2)*(l**(1\/2)\/l)\/l)\/(l**2\/(l**(5\/3)*l)) assuming l is positive.\nAnswer: l**(-362\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*b = -27, -5*o = 113*b - 228*b + 113*b - 111 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n\/(n**0*n)))\/n)\/(n*n\/((n*(n**(1\/2)*n)\/n)\/n)*n) assuming n is positive.\nAnswer: n**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c - c)*(100 - 100 - 9*c) + 2266*c**2 - 2263*c**2 + 1 - 2 - 9*c.\nAnswer: -6*c**2 - 9*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 5*l + 3. Let d(a) = -a**3 - 7*a**2 + 9*a + 8. Let s be d(-8). Suppose 0*c - c + 6 = s. List the prime factors of u(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (308 - 302 - 44995*r + 45934*r)*(r + 0*r + 0*r).\nAnswer: 939*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - y - 2*n - 6, y - 12 = 4*n. Suppose y = 6*d - 47 - 37. Let z(r) = d - 38 + 2*r + 14 + 8. Calculate z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -15*w. Let a(t) = 45*t**2 - 2. Determine u(a(f)).\nAnswer: -675*f**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) - (-81)\/6*(-75)\/150?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -595*m**3 - 2*m**2 - 90*m - 1.\nAnswer: -3570*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49993 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**2 + 12*h**4 - 14*h - 2*h**4 + 5*h**2 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*k - 18, 3*i - 14*k + 18*k = 24. Let v be i\/10 - (-4)\/(-10). Which is the second smallest value? (a) 1.1 (b) v (c) 2\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 108759457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 3*c - 18 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Calculate the smallest common multiple of 7 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(19) + sqrt(228)\/(sqrt(12)*-2) + sqrt(19))**2 - (sqrt(152) - sqrt(152)*-1)\/sqrt(8).\nAnswer: -sqrt(19) + 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - 3*1*sqrt(30)) + sqrt(30) + sqrt(30) + sqrt(1080)*2 + sqrt(30))\/((sqrt(144)\/(3*sqrt(4)))\/sqrt(6)).\nAnswer: 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -99998.\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1533514, 44 in decreasing order.\nAnswer: 1533514, 44, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6173 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101400?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 35*c + 37. Let m be n(-1). Find the second derivative of 10*s**3 + 6*s**4 + 2*s + m - 30*s**4 + 7*s**4 - 33*s wrt s.\nAnswer: -204*s**2 + 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10 = 26. Suppose -5421 - 1919 = -x*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 - 34 = 27*i - 35. Solve 0 = i*j - 20*j - 49 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + -201633?\nAnswer: -201540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -44*i + 42. Let x be p(10). Let f = x + 815. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 = 3, 3*s - 4*x + 16 = 0. Let n be (1 - 1\/s)*12. Suppose v - n = 22. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3246.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6428278945216 + 0.42?\nAnswer: 6428278945216.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 314841961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -163210?\nAnswer: 146889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250786783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3201 and 20978287?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*2413.2996\nAnswer: -965.31984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**5 - x**4 - 18*x**3 + 2*x**2 - 2*x - 15. Let d(v) = v**5 + v**4 + v**3 + 2*v + 1. Let w(y) = -14*d(y) - 2*h(y). Factor w(m).\nAnswer: 2*(m - 2)**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354516150.\nAnswer: 2, 3, 5, 2363441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 0*z**2 + 15*z - 8*z + 2 - 3*z. Let j be i(-2). Suppose g = j*g - 25. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/5 - 38*x**4\/5 - 158*x**3\/5 + 2582*x**2\/5 - 4548*x\/5 + 432 = 0. What is x?\nAnswer: -9, 1, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2 = 0, -7 = -2*k + 25274*n - 25279*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*j + 152, -2*i = j + 2*i - 48. Find the common denominator of 8\/63 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9993 - -9994. Which is the second smallest value? (a) -165 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 15*o + 1134 = 0. Calculate the remainder when o is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13516309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 - -155. Calculate the lowest common multiple of 106 and d.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - 24. Let l = 121 - b. Calculate the greatest common factor of l and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1990*d = 1820*d - 1884 - 156 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.9 (b) 4 (c) 2\/13 (d) -1\/5 (e) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.823524us to minutes.\nAnswer: 0.0000002137254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 6. Let i be u(5). Let x(m) = -m**3 - 4*m**2 - 2*m - 4. Let b be x(i). What is the derivative of -3*z**4 + 2 + 4*z**4 + 4*z**4 - 2*z**b wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a + 301. Let c = -105 - a. Suppose 2*d + 0*d = -c. What is d rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 2. Suppose -5*c = 34 - 24. Let d(z) = 10*z + 15. Let n(j) = 5*j + 7. Let s(a) = 3*d(a) - 5*n(a). Determine c*s(h) + 11*w(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*u**2 + 22*u**2 - u**2 to the form b + t*u**2 + k*u and give t.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8864097 is divided by 900?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*(((2*sqrt(900) + sqrt(900))*1)\/(2*sqrt(75)*-6) + 4).\nAnswer: -15*sqrt(3) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168578.\nAnswer: 2, 31, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 6*b + 2. Let v be z(-6). Suppose v*t = 233 + 169. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1448 - 2*l + 7*l - 1079 - 1081 - 7*l + 3608.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69985 is divided by 9977?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 63817194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 5*y + 8. Let m be c(6). Suppose m*i = -i + 108. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 + 6*z - 5. Give w(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -12*d - 74. Let c be (-120)\/14 - (90\/14 + -6). Let k be y(c). Let s be (68\/6)\/(4\/30). Calculate the highest common divisor of s and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7 = f. Suppose -r - 71 = -f*o + 3*o, 3*o - 54 = r. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(54) + (sqrt(8))**2 + 3 - (2 + sqrt(18)*-2).\nAnswer: 19*sqrt(2)\/3 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 46186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5951480 to the nearest integer?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 355?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (-10 - ((-2 - -2) + 44 + -65))) + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-11)\/22)\/((-2)\/(-86))*-12 and 78.\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -15 - (-1 + -1 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22812333 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10166 and 10?\nAnswer: 50830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1119*q**3 + 364*q**2.\nAnswer: 6714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -635.4 - -635. Put -0.2, 0.5, -2\/7, z in descending order.\nAnswer: 0.5, -0.2, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 454515 and 314.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + 18\/4. Suppose 1 = q*y - 0*y - 2*l, 2*y = -2*l + 6. Let w be (4\/(-4)*-4)\/y. Solve -2*h + 0 - w = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(48)*4.\nAnswer: 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/3 - 8*z**2 + 70*z\/3 - 16 = 0. Calculate z.\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 7*f**2 + 43*f + 17. Let s be q(11). What is the remainder when -4 + s + 69 + 1 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458914 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/6*107115\/370 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l + 37*l + 8 = 71*l. Let s(f) = 10*f**2 + 2*f. Let g(n) = 29*n**2 + 6*n + 1. Give l*g(k) + 7*s(k).\nAnswer: 12*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 11 - -6 - (12 + -75)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14301 divided by -7\nAnswer: -2043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18301882 - -5?\nAnswer: 18301887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 - 336\/147?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(117))*4 + sqrt(117) + (-2 + sqrt(117))*1)**2.\nAnswer: 216*sqrt(13) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q + 6. Suppose -s = -q*s + 5. Calculate the remainder when 13 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -380 + 394.97. Let j = t - 15. Let k = 0.07 - j. Is k less than or equal to -8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 2*w. Let m(b) = -8*b**2 + 30*b - 64. Let h(c) = 2*m(c) - 18*z(c). Factor h(g).\nAnswer: 2*(g - 4)*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-22)\/11)\/1)\/((1296\/36)\/2664)?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3956*h - 473. Let t(n) = -67*n + 8. Let f(b) = -8*p(b) - 473*t(b). Let i(x) = -5*x. What is f(i(r))?\nAnswer: -215*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -109. Let m = v - -32. What is the highest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (336\/(-16) - -6)*(-38)\/6. Is 95 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k + 22*k - 4*k**2 - 14*k + 2. Let l be z(-2). Let o = l - -32. Calculate the greatest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61634, 248830, 561586, 999908, 1563802, 2253274?\nAnswer: 3068330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 34.311, 1\/4?\nAnswer: 34.311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -20. Let v = f + -33. Let h = v + -11.6. Round h to 0 dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-3)\/(-9)*1). Which is the fourth biggest value? (a) w (b) 2\/7 (c) 0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012 (base 3) in base 14?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 8.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109674.\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*s**2 + 59*s**2 - 99*s**2)*(s + 0*s - 5 + 3).\nAnswer: 18*s**3 - 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c + 2. Let x(u) = 10*u + 3. Let k(b) = -6*x(b) + 5*z(b). Determine k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 1\/2*g**4 - 1\/2*g**2 + 0 + 1\/2*g**3 - 1\/2*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005372601 to 6 dps.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12626*-24\nAnswer: -303024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 10. Let d(y) = -y + 12. Let f(x) = 4*d(x) + 5*w(x). Suppose -2*c = -5*s - 2, -2*c - 4 = 4. Let n be (s\/(-4))\/((-2)\/(-8)). What is f(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -340857 - -3.\nAnswer: -340854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:06 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 10656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1214 - -1274. What is the least common multiple of 260 and r?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:57 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(7\/6)*24\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 923327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + i = -18, 4*i = -2*u - 7 - 11. Let b be (4 - (7 - 3)) + (0 - u). Let x = 8 - 5. Solve 0 = -b*q - 0 - x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-39)\/(-3) - 8)*1\/5. Suppose -a - 4*k = 7, 5*a = 5*k + 22 + 18. Solve -a*r = -9 - v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631 divided by 1?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 722633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s\/s**2))\/((s\/s**(1\/2))\/s*s)**(-36) assuming s is positive.\nAnswer: s**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a662 (base 11) to base 6.\nAnswer: -145144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 12*l - 17. Let i be h(-10). Suppose -i*z - 2*j + 7 + 26 = 0, 33 = 3*z + j. Suppose 1434 = z*u - 1151. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.75 - -0.75. Let x = 10.5 - 1.5. Let c = x + u. What is the biggest value in 0.4, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-1 - (5 + -6)) - 5) + 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 536 - 313. Suppose 8*h = 15*h - 490. Suppose 0 = 4*v - 3*q + h - 254, -5*v + 2*q + d = 0. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - 412?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**4\/12 - 7*c**3\/6 - c**2\/2 + 23*c. What is a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -44.73. Let s = -24.27 + i. Let u = s + 24.00055. Round u to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x - 40*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 40. Is -1\/26 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = -8*j + 120. Let w = 8 - j. Solve -13*p + 12*p - w = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60491\/31290 + 32\/745. What is the common denominator of p and 101\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 267 + -301. Let c = 122 + h. Let j(f) = 4*f**2 + 3*f. Calculate the smallest common multiple of c and j(-2).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21050, -20656, -19952, -18782, -16990?\n\"Answer: 26*x**3 - x**2 + 215*x - 21290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 183 + 82. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 14 in decreasing order.\nAnswer: 14, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -487500 rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -244, 205, 660, 1115, 1564, 2001, 2420?\n\"Answer: -d**3 + 9*d**2 + 429*d - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2622001310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + y**2 + y + 25. Let t be c(0). Suppose -13*p + 8*p + t = 0. Suppose -2*h = -p*h + 15. Solve h*w = -4*f - 14, 0 = 2*w + 4*f - 2*f + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42134998 to the power of 1\/2, to the nearest integer?\nAnswer: 6491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8461 * -0.05.\nAnswer: -423.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39 from -13748.1383.\nAnswer: -13787.1383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(1\/10)))**(-44) assuming i is positive.\nAnswer: i**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(-2 + 1 + 5)*(0*y + 0*y + y) to d*y + j and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 805475 and 793076.\nAnswer: 1598551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1133213 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 530791 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/(sqrt(12)*3))\/(sqrt(80) - -3*sqrt(80)) - (5*(-4*(-2*sqrt(99) - sqrt(99) - sqrt(99)))\/(sqrt(36) + (sqrt(72)\/sqrt(2) - sqrt(36))))**2.\nAnswer: -17600 + sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32780399213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3\/2 + 35*a**2\/3 - 85*a\/6 + 5.\nAnswer: -5*(a - 3)*(a - 1)*(3*a - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2427384 to the nearest ten thousand.\nAnswer: -2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-228)\/(-56)*(90\/33 - 2). Let t = -22\/7 + p. Which is the closest to t? (a) 1\/3 (b) -3\/10 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 10*n**2 + 8*n - 8. Calculate m(11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 64*t - 13. Let j be u(7). Calculate the highest common factor of 253 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from veekgykfkgyvvyv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 bigger than -157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1006 - 1000. Let s(h) = -h**3 + 4*h**2 - 4*h + 2. Let n be s(2). Suppose 2*w**4 + 2 - 9 - 4*w**3 - 1 - l*w**n + 16*w = 0. What is w?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(64))\/(sqrt(16)\/(sqrt(16)\/sqrt(2))))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484 = -2*b + 5*c + 1370, b - 909 = -2*c. Let j(v) = 4*v**2 + 16*v + 3. What is the remainder when b is divided by j(-6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 306 + -2445\/8. Let m = -96 - -100. Which is the nearest to 2\/7? (a) m (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7355*22\nAnswer: -161810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2218 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 - -18 - (2 - 0). Let c(x) = 2*x + 3. Is c(f) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 11*c**2 + 2*c**2. Let r(h) = h**2. What is f(r(n))?\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x. Suppose -4*u + 3*u = x. Solve u*y = y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2239533 and 5727.\nAnswer: 185881239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -76 + 10 - (-6 + -62)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -2063*z**6\/6 + 29*z**3\/3 - z**2\/2 + 2*z + 7199. What is the third derivative of u(l) wrt l?\nAnswer: -123780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 126.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131782665*d**2 - 3*d**3 + 131782665*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 10. What is the lowest common multiple of l(1) and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/956090 and -79\/19978.\nAnswer: 6692630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 12*x**2 - 11*x + 26. Suppose 0 = -5*q - 33 - 32. Let t be f(q). Suppose 3*z + 0*v = v - 118, -2*v + 8 = t. Is -40 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9890579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-5)*260\/975*(1350\/(-36))\/(-15).\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000636181571 rounded to 7 decimal places?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*sqrt(80)*2 - sqrt(80)) + sqrt(80) + 1 + (sqrt(80) + 5)**2).\nAnswer: -96*sqrt(5) - 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiikxxtxii. Give prob of picking 1 t and 1 k.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 3*u**2 - u. Let m(i) = 3*i**3 + 8*i**2 + 3*i. Suppose -y + 2*q = 11, -219*y - 3*q + 6 = -224*y. Calculate y*m(h) + 8*z(h).\nAnswer: h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0.3 (c) -2\/11 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1359 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*q**3 + 88*q**3 - 22*q**3 - 7524698*q + 7524698*q.\nAnswer: 154*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 + 111. Let x(f) = -f**2 - 30*f - 23. Calculate x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408, -431, -466, -519, -596, -703, -846, -1031?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 - 94.41. Let y = o - 0.652. What is y rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 + -132. Suppose x = m - 5*y, -m - 6*y + 1 = -10*y. Sort 4, 3, -5, m in increasing order.\nAnswer: -5, m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 189.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17 + 0.16999914. Round s to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -14 - -12 - (6 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(1\/4))**1\/(d\/d**4)**(-3\/20) assuming d is positive.\nAnswer: d**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9699, -9749, -9835, -9957, -10115, -10309, -10539?\nAnswer: -10805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6af (base 16) to base 10.\nAnswer: -1711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2555, 2543, 2523, 2495, 2459, 2415, 2363?\n\"Answer: -4*f**2 + 2559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 3, c: 4}. Give prob of sequence xd.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4040 = 96*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13102387, -26204775, -39307163, -52409551, -65511939?\nAnswer: -78614327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -7, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-39)\/6)\/(7\/(-42)))\/1. Calculate the highest common factor of 169 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76.30692l?\nAnswer: 76306.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n - 6*n - 2*n**3 + (-n**2 - 4 + 4)*(5*n + 4*n - 3*n) to z*n**2 + j + w*n + h*n**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -2.1. Let g = -0.464 + 5.464. Let y = 43 + -42.4. Which is the closest to y? (a) t (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486379207.\nAnswer: 839, 579713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3013874.\nAnswer: 2, 23, 65519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2368)\/481)\/((-21)\/(-126)*-24)?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-18))\/(6\/(-6)). What is the closest to 2\/7 in -1.7, 1\/2, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2856 - 2859. What is the closest to -36 in 0, j, 4, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1650008 divided by 1\nAnswer: 1650008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 2, x: 10}. Give prob of picking 4 x.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2766*p + 2 - 8*p**2 - 2.\nAnswer: -8*p**2 - 2766*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + s**2 + 2. Let v be z(-2). Let j be 24\/60 + (86\/(-5))\/v. Suppose -j*g + 16*g = 35. What is the remainder when 8 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 117, -2, 2\/5, 1\/3, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b**(-11)*b)\/b)\/b*b)\/(b\/(((b\/b**(1\/17)*b)\/b)\/b)*b))**30 assuming b is positive.\nAnswer: b**(-6150\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 11596?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 1. Let x = 5 - 3. Let m be n(x). Let g be m\/((-45)\/2064)*-1875. Round g to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147180.\nAnswer: 2, 3, 5, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 336\/2562*(-432)\/1152?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49858 is divided by 1292?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**3\/3 - f**2\/2 + 2*f. Let k be s(1). Let w = 9 + -6. Solve k = -w*z - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 6*u + 89, 33*u - 236 = 217*j - 215*j + 16*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(4\/7)\/z*z*z)**13)**(1\/5))**(-48))**(1\/40) assuming z is positive.\nAnswer: z**(-858\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 11 = -4*t + 1, -5*j - 2*t - 24 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 2*l + 324. What is y(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-16)*5*4. Suppose -h + 3 = -2*w. Let b = 886\/7 - 126. Which is greater: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 126) + (-469 - -585).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34, 46, 60, 76, 94?\n\"Answer: g**2 + 9*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 1, h: 3, a: 2, q: 4, x: 6}. What is prob of picking 1 x and 1 a?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2 + 616*r - 619*r - 10. Let f(d) = d + 3. Suppose -3*q = -6*q + 4*k + 14, 0 = 2*k + 4. Let p = q - -1. Calculate p*z(j) + 8*f(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13114334 (base 6) to base 10\nAnswer: 429970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-5)*n)\/n)\/(n\/((n\/n**(1\/9))\/n))*n*n**(2\/5)*n*n*n**(-2\/5))**(-1\/6) assuming n is positive.\nAnswer: n**(19\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((28577\/(-102))\/41)\/(((-11)\/(-165)*-5)\/2).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.456 - -2.47. What is d rounded to two dps?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 8:33 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683393 a multiple of 1061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiigjjjinin. What is prob of sequence gijn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480 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 i = -397 - -619. What is the first derivative of -6*r - 125 + 126 + 5*r**3 + i + 5*r**3 + 8*r wrt r?\nAnswer: 30*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26742 - 12713. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - -12) + -9 - (41 + 5)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 28*t**2 - 37*t + 242. Let c be h(29). Solve 0 = -3*r + 4*o + 11 + c, -5*r - 4*o = -3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -167253 smaller than -167277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.693 and -88.\nAnswer: -89.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-151 - 111 + 336)*(o + 3*o - 2*o) in the form f + s*o and give s.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.43958877 - 49.56040103. Let h = -73 + 127. Let y = z + h. Round y to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 6. Let q(z) = -3*z. Let s be q(-2). Let k be c(s). List the prime factors of ((-81)\/6)\/(k\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from ssssdsssssdsssssss?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 14184*q - 14185*q - 4 + 28362*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22196 not equal to 22197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 35. Let f = -104 + 102. Calculate the remainder when p is divided by (f\/(-3))\/((-6)\/(-45)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h = 31*h + 624 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 19*x**2 + 2*x - 28. Let p be r(19). Suppose 2*y - 165 = -2*y + 3*m, 0 = 2*m - p. Calculate the remainder when y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - (10 - 39)) + 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15646 = 21*c - 2204. Let u = c + -584. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**7\/4620 - n**6\/330 - n**5\/165 + 2*n**4\/11 - 41*n**3\/6 + 6*n + 8. Let s(d) be the second derivative of p(d). Factor s(i).\nAnswer: 2*(i - 6)*(i - 2)*(i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 76*r + 81. Give l(36).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.765 - 35. What is d rounded to two dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f - 2*p + 1 = 0, 0 = -5*f + 4*p + 13. Suppose -3*s + 3411 = f*l, 5*l - 2*l - 2040 = -4*s. Is l a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87 + 20*u + 87 + u + 0*u - 3*u + (4 - 4 + u)*(-4 + 8 + 0))*(-5 + 1 + 0) to r*u + w and give r.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 2*p + p + (-5 - 3 + 5)*(-4 - p + 4) - 10 + 5*p + 10)*(0 + 1 - 2).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450 + 451. Let c be -1*(46\/(-161) + 10\/(-14)). Let k(z) = -z**3 - z**2 + 2*z + 1. Let g(w) = -w**3 + w**2 - 1. Calculate c*g(b) + f*k(b).\nAnswer: -2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-9) + (-56)\/(-6). Let j be (-1)\/(-1 + 8\/t). Suppose 0*w + 4*w + 34 = 2*u, -j*w - 11 = 2*u. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(343) - 2*(1 + sqrt(343))))**2.\nAnswer: 1008*sqrt(7) + 12492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 987233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2720949*0.3.\nAnswer: 816284.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324 a factor of 523835304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 180.7 and 7.\nAnswer: 187.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 - 13*z + 44. Let f be u(15). Let v = f - 709. Suppose -29*n = -31*n + v. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -16. Let x be -5 - 28\/g - -7. What is the nearest to x in 4\/5, -5\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.5. Let n = 331 - 333. What is the biggest value in -5, n, -1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13976 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -70, -60, -48, -34?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1041*u - 2457. What is the units digit of w(-54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = t, 4*t + 2 + 6 = -4*k. Let n(m) be the third derivative of 0 + k*m + 1\/96*m**4 + 1\/48*m**5 + 0*m**3 + 1\/120*m**6 - 15*m**2. Factor n(p).\nAnswer: p*(p + 1)*(4*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87806435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 20*j**5\/7 + 38*j**4\/7 - 18*j**3\/7 - 82*j**2\/7 - 58*j\/7 - 12\/7 = 0.\nAnswer: -1, -2\/5, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14\/3 (b) -7 (c) 0.6 (d) -1 (e) -0.06 (f) 3 (g) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 6\/4)*-6. Suppose n + 20 = 5*n - 2*r, 5*n - i*r - 26 = 0. Let s be 5 - 9*2\/4. Sort n, -4, s in ascending order.\nAnswer: -4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1281.\nAnswer: -5124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -15, 16?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372 and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 17 = -2*k. What is the greatest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-120)\/35)\/4)\/(24\/21).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 147*p**2 - 2874*p + 300. What is c(124)?\nAnswer: -2428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 6111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, -182, -579, -1344, -2597, -4458, -7047?\n\"Answer: -20*w**3 - 4*w**2 + 3*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*w**2 - 3771*w - 293014.\nAnswer: -230*w - 3771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24594325?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21533\/5555 + -285\/101. What is the common denominator of 43\/55 and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3 + 5428*a**2 + 38192*a = 0 for a.\nAnswer: -7, 0, 1364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 6*x**3 + 5*x**3 - 4*x**3 + x + 3*x**3 to the form n*x**2 + o + z*x**3 + f*x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 133818895*b.\nAnswer: 5*b*(b + 26763779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-18)*-2 - -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.7? (a) -1 (b) -0.6839 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2519 and 10076?\nAnswer: 10076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -41. Suppose s = 2*t + 2*t. Let i(w) = -w**2 - 2*w - 1. Let b be i(-1). Solve 4*p + b = t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274*s**4 - 31*s wrt s?\nAnswer: 3288*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-6 - -4) + 0. Let g(x) = -8*x + 3 + x**3 - 4*x**2 + 11*x - v*x**2. Give g(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 2243*j**4\/24 + 426*j**2. Let w(c) = -c**2. Give i(w(f)).\nAnswer: -2243*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + d**2 - 1. Let a(y) = -7*y**3 - 4*y**2 + 6. Suppose 36*i + 132 = 14*i. Calculate i*f(u) - a(u).\nAnswer: u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6913307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-5))\/3*0. Solve b*s - 2*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -364*c**3 + 2*c**2 - 2*c - 3. Let r(b) = b**3 + 2*b + 3. What is -r(j) - w(j)?\nAnswer: 363*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*u - 464*u + 9*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8322.\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)*(-1)\/((-4)\/44). Does 7 divide ((-329)\/(-3))\/(w\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*q + 12*q**4 - 14*q + 2*q wrt q.\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 - 5070*u + 5070*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -41*o**4\/24 - 235*o**2. Let q(k) = 132 - 2*k**2 + 130 - 400 + 138. Give l(q(y)).\nAnswer: 82*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1241 + -843. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 45 - 20 - 7*b as v + c*b and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 + 12*f**2 + 11*f - 4. Let s be b(-4). Suppose -s*g - 27 = -18*g + y, -5*g + 67 = -3*y. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - s + (-7 + 7 + s)*(2007 - 2972 + 1716) + 0 + s + 0 - 4*s - 2*s + 4*s)*(-2*s**3 + 2*s**3 + 3*s**3).\nAnswer: 2247*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 12. Let c be z(0). Let r = -6 + c. Let i be 6\/(-27) + (-656)\/(-36). Calculate the highest common divisor of r and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0.2, -4, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 996851 is divided by 1752.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 56 = 9*c. Solve 8 = 3*t - c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -3 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.025 and -2352667584.\nAnswer: -2352667583.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 8 + 23. Suppose -4*q + 3*t = -68, 2*t - 8644 = 4*q - 8704. Solve -9 = i*k, 5*g + q - 36 = 5*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.1, 14, 427?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37565.\nAnswer: 5, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 3*v - v + (1 - 2 - 1)*(v + v + 0*v) - 179 + 26*v + 179.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95\/6 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 56362356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/45)\/(52\/(-78))*-24?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v + 14 = -60*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -14*b**3 + 15*b**2 + 39*b + 35. Is u(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*m**2 + 11*m**2 + 2 - 2 - 23*m**2.\nAnswer: -163*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.5431 - 8.404. Round p to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v*v*v**(-2))\/((v*v\/v**(-2\/15))\/(v**(5\/3)\/v)) assuming v is positive.\nAnswer: v**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1974217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 54756.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 + -63. Suppose -4*x + 5*r - 6 = -t, 0 = 3*x - 2*r - 29. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + (sqrt(18)\/sqrt(54) + (sqrt(21)*1)\/sqrt(7))*-6)**2.\nAnswer: 16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 24. Let g = f - 14. Let y be (-98)\/343*(-28)\/48. What is the closest to -1 in 0, y, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2. Let q(a) be the first derivative of a**3\/3 + 5. Give q(u(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + j**3 + 3*j**4 + 3*j**4 - j**2 - 3*j**2 to q + i*j**4 + m*j**3 + g*j**2 + v*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 87727.78\nAnswer: 87709.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m - 35. Suppose -v + 33 = 13. Calculate the remainder when v is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k = 32*k - 1284. Let v = k - 43. Does 49 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b + 2*m - 32, 2*b - m - 35 = 0. Let f(n) = -n**2 + 10*n - 1. Let x be f(9). What is the remainder when (-258)\/(-8) + (-2)\/x is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 - 2?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/440 (b) -0.2 (c) -6 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from enggeee?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r**2 + 5*r - 2*r - 4*r + 4. Let t be j(-3). Let f = t - -187. Calculate the remainder when f is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = -5*c - 3, 2*g - 12 = -c. Let j(w) = -w**3 + 7*w**2 - w. Let b be j(g). Let m(n) = -5*n - 28. Let o be m(b). Let q(y) = y - 4. Determine q(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -217*h - 3229. Calculate g(-15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -293 greater than or equal to -982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211476 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24119 = 31*v + 4961. Suppose -j + v - 611 = 0. Let w = 3 - -1. What is the least common multiple of j and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h. Let p(f) = -7*f**2 - 4*f - 4. Suppose -11*o + 12 = -7*o. Let v(s) = -6*s**2 - 3*s - 3. Let d = 2 + -6. Let j(i) = d*v(i) + o*p(i). Give b(j(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 367417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -42. Suppose 0 = 3*j - 5*j + p. Solve 4*s = 1 - 5, 0 = 3*a + 3*s + j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32716*f + 8*f**3 + 32716*f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, -1, -7, -15, -25, -37?\n\"Answer: -w**2 - w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 4*m**2 + 4*m + 2. Let n be d(4). What is the remainder when (-3)\/n*2*-33 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 831031 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-88)*2\/10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, -57, -163, -311, -501?\n\"Answer: -21*y**2 - y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84449 is divided by 205?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 939073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 572406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Suppose i - 1 = 4*q + u, 2*i + 6 = 2*q. Let n = 5 + q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4615572119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542166031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13761474 is divided by 349?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4632 by -3.\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427, 45, -1957, -6389, -14061, -25783, -42365?\nAnswer: -64617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*w + t - 6, -4*w + t + 17 = 0. Let f = w - 2. Differentiate -14 - 3*y**3 + 5 - 19*y**4 + 3*y**f with respect to y.\nAnswer: -76*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -9, 7, 39, 93, 175, 291?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 984904.99 - 0.4\nAnswer: 984904.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1531513 (base 6) in base 12?\nAnswer: -43b99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 5*g + 24 = -2*u, 4*g + 5*u + 36 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -7 + 2 - -39. Suppose 0 = 2*y - 3*y + w. What is the greatest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -51*f - 13. Suppose 0 = -0*g + 2*g + 12. Is j(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146116 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l + 1 - 1)*(0 - l + 0)*(1 - 2 + 0).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 86. Let q be ((3\/(-2))\/m)\/(2\/12). Let c be (-2)\/q + (-78)\/(-108). Is c < 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 22*a + 52.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290332 = 4*n + 5*z - 149683, -n + 5*z + 109985 = 0. Round n to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) 532 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -28898*t + 3. Let u(p) = 6*p**2. Calculate s(u(q)).\nAnswer: -173388*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {o: 12, c: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -3a?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/(-14336))\/(((-196)\/14)\/98).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.019, 5, -0.5, -5?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1264556 < -1264321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 2\/5, 0, -0.1, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -20, -28, -36?\n\"Answer: -8*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*n**3 - 1814244*n**2 - 2078037824*n - 188897536 = 0.\nAnswer: -6872\/3, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 1*sqrt(171) + 4.\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 11:08 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4277755 and 59633?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1442*r**3 - 161*r**2 - 5204667.\nAnswer: 4326*r**2 - 322*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10 - 2*k + 3*k - k**2 + 13*k + 0. Let v be ((-39)\/(-6))\/(3\/6). Let q be f(v). Solve -9 = -q*p, -3*p = 5*x - p - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-10 + (6 - (-5 - -3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -45, 5, 3\/268?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - u**2 + 2*u**2)*(2 - 2 + 1)*(2*u - 4*u + 7*u)*(4 - 3 + 1).\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3147 and -1686411.\nAnswer: -1686410.6853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15c4f + -1?\nAnswer: 15c4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 393 + -504. Let l = -105 - o. Calculate the remainder when 151 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 plus -1.21070857?\nAnswer: 632.78929143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 342*j**3 - 65*j**2 - 10*j + 69. Let m be g(27). Round m to the nearest 100000.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 2 (c) 4 (d) 5183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10624, 42134, 94656, 168190?\n\"Answer: 10506*k**2 - 8*k + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1241 + 2876*k**4 - 3*k - 2955*k**4 + 4*k - 11*k**3 - 2*k + 1243 to n*k**2 + x + o*k**4 + y*k + j*k**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + c752a?\nAnswer: c7506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135604, 135605, 135606?\nAnswer: 135607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 379 - -1a?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2. Let j(n) = -19*n**2 - n + 2. Let c(p) = j(p) - 4*v(p). Let l be 4\/(5\/(-2) - -2). Let k = 5 + l. Determine c(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3\/11 - 3964*f**2\/11 + 63970*f\/11 + 67932\/11 = 0?\nAnswer: -1998, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24612113 is divided by 141.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 56301 = 4*z + 6*x, 0 = -2*z + 6*x + 28170. What are the prime factors of z?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 22559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2. Solve 2 = -a*y + 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o. Solve o = -p - 2*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - z + 90 = z, -3*n + 87 = z. Suppose -n + 2 = -y. What is the highest common divisor of y and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 6*k - 1. Let s = -18 + 27. Calculate the smallest common multiple of v(-4) and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535628?\nAnswer: 2, 359, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 115, 477, 1081, 1927, 3015?\n\"Answer: 121*r**2 - r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 9:13 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55688 + 16*w + 20633 + w**2 - 15*w.\nAnswer: w**2 + w + 76321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -80a + -8906?\nAnswer: -9514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 47879.24 decades?\nAnswer: 478.7924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1110010111110010010?\nAnswer: -1110010111110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 449177455 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 be (2 - 1)\/6*(-32)\/24. Let o be 10\/(-2)*6\/(-105). Let k = 0.3 + 0.7. Which is the closest to k? (a) v (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 80046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + -0.46. Let k = -48325\/114 - -2545\/6. Which is the nearest to k? (a) 0 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f + 791*f - 39804 + 162647 = 3329*f for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 70332*o - 984669. Determine s(14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-158)\/(-13) + ((-6)\/(-39) - 88\/286).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 16, -2*v - v - 27 = -b. Let z = -11 + b. Let c(i) = -i - 2. Let j be c(-1). Put j, 0, z in descending order.\nAnswer: z, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 314 + -143. Suppose v - 3*h - u = 0, h = v + 72 - 239. Suppose -16 = t - w - v, 4*w = -2*t + 310. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 11, n: 6}. Give prob of picking 1 y and 1 m.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 639518488396?\nAnswer: -639518488394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, -52, 7, -4, -1\/2 in increasing order.\nAnswer: -52, -4, -1\/2, 0.1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202104 and 180.\nAnswer: 1010520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 19, 0.18, -2873, -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11142.29ml?\nAnswer: 11.14229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3153270 is divided by 226?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 428*y - 425*y - 6 = 0, 4*c - 3*y + 6 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4062.\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -b, -4*m = m - 2*b - 12. Suppose 2*l + 8*w = 3*w + 13, 5*l = -m*w + 75. Suppose l = 2*h - h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14542*r**3*z**3 - 131*r*z**3 - 5196575*z**3 with respect to r.\nAnswer: -43626*r**2*z**3 - 131*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235806115?\nAnswer: 5, 247161223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 - j + 1. Let m be q(3). Let i = m + -38. Let x(v) = 5*v - 2. Let f(p) be the first derivative of -2*p**2 + 2*p - 1. What is i*f(a) - 3*x(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**4 + 25*q**2 - 25*q**2)*(-3 + 0 + 1).\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 22*k**2 + 21*k + 30. Let y be a(-21). Let x be 10\/y*(-3)\/1. Which is greater: -1\/24 or x?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/16*48\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 22489*b**2. Let i(t) = t. Calculate i(r(v)).\nAnswer: 22489*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020220 - 12?\nAnswer: -1021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423898729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3036757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:53 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or -0.1?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 10. Let t be x(7). Solve -l + 2*l - 14 = 4*b, -2*l + t*b + 12 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22626?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.56 - -132144.2\nAnswer: 132141.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 - 106. Let q = -21 + x. Calculate the highest common divisor of 138 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84912 divided by 48?\nAnswer: -1769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6) - 15\/(-6). Solve -t*z + 0*z + 16 = 5*p, -z = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2096 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**3\/2 + 89*h**2\/2 - 15*h + 2. Let b be d(-28). Solve b*m - 18 - 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5414025 - -165?\nAnswer: 5414212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 11*k**2 + 12*k - 20. Let a be d(10). Let x = 103 - 65. Suppose -v - v + x = a. Calculate the remainder when 73 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176 = 184*c - 16*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*y**4 + 3*y**2 - 71?\nAnswer: 224*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-6)*(-164)\/(95120\/10005)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1681400236.\nAnswer: 2, 420350059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a. Suppose d = -9*d - 3*d. Let z(c) = d*c**2 - 13*c**2 - 7*c**2 + 7*c**2. Calculate z(i(t)).\nAnswer: -117*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.92 times -0.04848?\nAnswer: -3.0018816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((41818\/203)\/(-11124))\/((-2)\/72).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-805*x**2 - 255*x**2 + 118*x**2 - 557*x**2)*(-1 + 1 - x).\nAnswer: 1499*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 5*w = 8*r + 4, 0 = 3*r - 3*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 3, o: 4}. Give prob of picking 3 y.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 78. Give g(-9).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m - 25*m + 64*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13643 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from hhhhqaqahhqqhnhuhh.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s - 5. Suppose 3*m = 4*i - 50, -29 = 3*m - i + 6. Does 7 divide r(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-134)\/(-335) + 18\/(-20)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**2 - 350172*n + 10218369132 = 0.\nAnswer: 58362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:49 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6172 is divided by 257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -10) + -1 + 21 + -18 + -35?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*c = -144, 20 - 61 = -u - 3*c. Suppose 30*h = 55 + u. Solve -5*w = -a + 18, -3*a + h*w + 23 = 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 1648.\nAnswer: -5, 1, 1648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 971 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5\/3 + 2*l**4\/3 + 40*l**3\/3 + 32*l**2\/3 - 128*l\/3 - 160\/3 = 0.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39200035 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 q, and 1 a when three letters picked without replacement from {z: 3, g: 1, s: 4, a: 2, q: 1, u: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 246334 and -30?\nAnswer: 246364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 28*l**2 + 10*l - 1. Let i(u) = -3*u**2 - 9*u - 6. Let a(j) = 2*j**2 + 10*j + 7. Let y(z) = -6*a(z) - 7*i(z). What is 2*v(k) - 7*y(k)?\nAnswer: -7*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - 2*a**4 + 3*a**4 + (-4*a**3 - 2*a**3 + 4*a**3 + (a - 3 + 3)*(-2*a**2 + a**2 + 0*a**2))*(0*a - 3*a + 0*a).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 5*k**2 + 5. Let t be f(-5). Let h be 1\/(-27)*-2 - (3374\/(-378) + 20). Put t, h, -1 in decreasing order.\nAnswer: t, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 355.3476 centuries?\nAnswer: 3553.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 2 + 42 = 0. Suppose -3*m - 4*p = m - 192, -h*m - 2*p = -246. Suppose 3*l = 68 - m. Let i(q) = -2*q + 3. Determine i(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -11 - 64. Suppose 9*w = 14*w + f. Let v(a) = a**3 + 5*a**2 + 3. Calculate v(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k**2 - 77*k + 14. What is p(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.03, 5, -1\/2, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2. Let l(j) = -103*j. Calculate l(u(h)).\nAnswer: -618*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 46, 110, 212, 364?\n\"Answer: 2*v**3 + v**2 + 21*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k - 6. Let t(b) = -b + 1. Let j(g) = 4*h(g) + 27*t(g). Calculate j(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -2 - -5) + (-2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*y = 6. Suppose y = -2*d + 5*d. Suppose 3*f - 4*x - 15 = 0, -d*f + 10 = -2*x - 2*x. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5\/7 - 82*v**4\/7 - 626*v**3\/7 + 406*v**2 + 3384*v\/7 = 0.\nAnswer: -9, -1, 0, 4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2839.5 rounded to the nearest 10?\nAnswer: -2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 77*p**2. Let d(l) = 76*l**2. What is 4*d(b) - 3*x(b)?\nAnswer: 73*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9709*v - 9711*v + 14 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 125 (c) 0.3 (d) 2 (e) 1 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*l + 3436 - 3538 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10074 + -26.5?\nAnswer: -26.60074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 257769 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*w - 2897*w + 339590 = 3358*w for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i**2 + 0)*(i**3 - i**3 - 2*i**3)*(-6 + 20 + 8).\nAnswer: -44*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28316202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(576)*1)\/sqrt(12))\/sqrt(12))\/((((sqrt(144)\/sqrt(4) + sqrt(36) - sqrt(36)) + sqrt(36))\/sqrt(3) - sqrt(12))\/sqrt(6)) + 0 + 2)*5.\nAnswer: 5*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -27. Let o be z\/(-2)*(132 - 8). Calculate the highest common divisor of 155 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/20 - (2 - -1). Let b = -186640 + 186641. Factor -b + 3\/2*a**2 - 1\/2*a**3 - 1\/2*a**4 + f*a.\nAnswer: -(a - 1)**2*(a + 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.77 + 0.25. Round l to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -48. Calculate the remainder when 4 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duppduuududduuu. What is prob of picking 2 u and 2 p?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.8 + 3.79. Which is the nearest to -2\/3? (a) 3 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4384650.\nAnswer: 2, 3, 5, 29231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 20. Let c = -94 + 49. Let l = -25 - c. Calculate the lowest common multiple of l and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*p = -1998, 2*p - 3*p = 3*r - 1198. What is the third derivative of r*x**3 + x**4 - 15*x**2 + 3*x**2 + x**4 - 397*x**3 + 3 wrt x?\nAnswer: 48*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8545, 23596, 48681, 83800?\nAnswer: 128953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 8:59 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-35)*(-14)\/96. Let o(s) be the third derivative of 0 + z*s**4 + 1\/240*s**6 - s**2 + 0*s**3 - 1\/60*s**5 + 0*s. Factor o(d).\nAnswer: d*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + n + 2. Suppose 6*s + 1 + 5 = 0. Let g be o(s). Suppose -3*x - 95 = -g*x. What is the remainder when x is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -53. Let j = r + -17. Let x = j - 19.8. What is x rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 198 = -3*z. Let a = 115 - z. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*v - 40, -11 = 5*v - 6. Suppose 95 = 37*t - p*t. Put -3, 10, -4, t in ascending order.\nAnswer: -4, -3, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -940, -1770, -2590, -3394, -4176, -4930, -5650, -6330?\n\"Answer: s**3 - s**2 - 834*s - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - -1.2. Let l = -28288.000019 + 28285.4. Let o = l + r. What is o rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 + y**3 - y**3 + (-3 + 2 - 1)*(2*y**3 + y**2 - y**2) - 2*y**3 + 0 + 0 + 7*y**3 + 32*y**3 + 8*y**3.\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {k: 2, x: 3, s: 4, a: 1, w: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4392979?\nAnswer: 31, 141709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2234, 2440, 2646, 2852?\n\"Answer: 206*q + 2028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -499\/6 + 83. What is the nearest to 2 in g, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 246*u**2 + 1951*u - 162. Calculate g(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**4\/12 - 89*w**2\/2 + 96. Let s(p) be the second derivative of g(p). Let h(q) = 60*q**2. Calculate h(s(k)).\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 1 - (14 + -5 - (-30 + 34) - 12)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = -24. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347932 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010 (base 2) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -449354 - -698832. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.1849\nAnswer: 0.7396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 + 3*x**2 - 6*x + 3. Let t be o(2). Let s = 37 + t. Are s and 3\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/525 and -131\/42.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 63 = -327. What is the greatest common factor of 30 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -77113.4215?\nAnswer: 77110.4215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/5 > -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328\/(-280) + 1 + (-9)\/21.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56692, 56790, 56954, 57184, 57480, 57842, 58270?\n\"Answer: 33*a**2 - a + 56660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -28*q**3 - 2*q**2 + 3*q + 2. Let x be d(-2). Let j = x - 60. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.1675 from 0.7163.\nAnswer: -1.4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 357 - 35. Let r be 4\/1 + (-2)\/(-2). Suppose 94 + z = r*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1950 is divided by 220.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 10 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, 5\/8, -1.395.\nAnswer: -244, -1.395, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4394*m**5 + 21179*m**3 - m**2 + 738811*m + 8 wrt m.\nAnswer: 263640*m**2 + 127074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 2880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1704 and 143\/158472?\nAnswer: 158472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 7*t + t**2 + 6 + t**3 - 4*t + 13*t. Let q be a(-2). Solve 4*w - g + 15 = 0, 5*w = -q*w - 4*g - 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, -4, -172\/5, -5\/3.\nAnswer: -172\/5, -4, -5\/3, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10207594*m. Let r(o) = o. Give d(r(t)).\nAnswer: 10207594*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -688 + 1305. List the prime factors of u.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 3, x: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1266339263, 1266339266, 1266339271, 1266339278?\nAnswer: 1266339287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 140 * -1547264\nAnswer: -216616960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 17. Suppose 108 = 2*l + w. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5525\/4 + 1389. Let w = -52251\/26 + 2010. Find the common denominator of i and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 5*h - 11. Let i be a(7). What is the closest to -1\/4 in i, 4\/3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let o(k) = -335*k**2 + 11*k + 11. Let b(l) = 67*l**2 - 2*l - 2. Let z(x) = 33*b(x) + 6*o(x). What is c(z(y))?\nAnswer: 80802*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/9 + 75247*n**2\/9 + 301000*n\/9 + 301004\/9.\nAnswer: -(n - 75251)*(n + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16173 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3622 divide 366325458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.1983\nAnswer: -0.3966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4266465?\nAnswer: 3, 5, 7, 179, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(35)\/sqrt(5) + sqrt(7) + (2*sqrt(175) - sqrt(175))**2.\nAnswer: 5*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 + 193. Calculate the highest common divisor of 36 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(1\/4))\/(r**(-1\/12)\/r))\/((r\/r**5)\/r*r\/(r*r**(-4\/3)\/r)))**23)**17 assuming r is positive.\nAnswer: r**1955","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-1 + 15) - (2 - -7) - 52.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -84. Let w = -12 + y. Round w to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -31*x**7\/42 + 7*x**4\/3 - 47*x. Find the third derivative of g(i) wrt i.\nAnswer: -1860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 438, 865, 1294, 1725, 2158, 2593, 3030?\n\"Answer: g**2 + 424*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -587 and 1314?\nAnswer: -771318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 435, 433, 423, 399, 355, 285?\n\"Answer: -x**3 + 2*x**2 - x + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6079.809 plus -2464074?\nAnswer: -2470153.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.026 from 2499.\nAnswer: 2498.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnnxyynonsn. Give prob of sequence oy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 1. Suppose 0 = -4*m + b - 15, -3*m - 2*m = -2*b + 21. Let n be 0 - (-1 - m)\/(-1). What is the second smallest value in x, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -34. What is the remainder when 51 is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 7*s + 15*s)*(5 - 4*s + 4 - 8) + 2*s**2 - 2*s**2 - 2*s**2 - 5*s**2 + s**2 + 3*s**2.\nAnswer: -87*s**2 + 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 1073.\nAnswer: 40\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 0, -1\/7, 1\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - y + 83 = 18*r - 45, 5*r - 33 = 4*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 76. Let g(i) = 9*i. Determine g(a(f)).\nAnswer: -18*f + 684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2004857\/319 - 4\/(-22). Suppose -2*k + 2089 = -d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36630 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 191259390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4*i - 13 = 0, -2*a + 65*i = 64*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-1 - 7) + 1 + 3 - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 44*t**2 + 588*t + 743. Give w(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -912480.\nAnswer: 1\/304160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, l: 1, y: 2, m: 9}. Give prob of sequence lmyy.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 6*d + 8*d - 399 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 5*l + 3*l + (7 - 11 + 3)*(-2*l + 2*l - 2*l))*(-4*l + l + 6*l) to g*l**2 + p*l + k and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 22556 = -4*x, 5*x + 98*d - 28165 = 99*d. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168628 divided by 3\nAnswer: -168628\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1398080730 to the nearest 100000.\nAnswer: 1398100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.542707 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12323 (base 4) in base 13?\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1\/(-2))*(-28)\/42. What is the third smallest value in -4, 2\/3, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24233 + -7290. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 2*k**2 + 2*k**2)*(-3 - 1 + 2) - k**2 + 0*k**2 + 0*k**2 + (-7 - 3 + 4*k + 3)*(-4*k + 3*k + 0*k)*(-4 + 1 + 4).\nAnswer: -k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 223757731 a multiple of 694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20979482677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6610822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 59, 88?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 4:40 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1897170, 1897220, 1897270, 1897320, 1897370?\nAnswer: 1897420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(704)*-2 + sqrt(704) + 2) + 0)*1 + 5.\nAnswer: -1 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 8. Let t be m(-4). Suppose 43 = -3*l + t*l. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 96.6877ug?\nAnswer: 0.0000000966877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*b**3\/3 + 37090424*b**2\/3 + 52986245*b\/3 + 18923650\/3.\nAnswer: (b + 756946)*(7*b + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.005862 micrometers in millimeters?\nAnswer: 0.004005862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:16 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*p + 80, -4*m - 4*p + 1 = -5*m. Let n(y) = -6*y + 3. What are the prime factors of n(m)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 times -4\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 512137, 0, -0.4?\nAnswer: 512137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 4*g - 216. What is the remainder when 259 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16163 or 16159?\nAnswer: 16163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - t**2 - t**3 - t**3 + t. Let n(q) = q**3 + 3*q**2 + 3*q. Suppose -3*f - y = 38 - 27, -4*f - 5*y = 33. Calculate f*i(c) - n(c).\nAnswer: c**3 - c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -3582.044, 0.4, 1\/7?\nAnswer: -3582.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3277*a - 2 = -3287*a, 6 = -r - 3*a. Let i(w) = -w - 12. Let d(v) = v + 2 + 11 - 2. Calculate r*i(q) - 4*d(q).\nAnswer: -q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1312 - 761. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/83 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7)\/q)\/q)\/q**(3\/5)*(q**(1\/3))**(-3\/19) assuming q is positive.\nAnswer: q**(-1574\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 3*t**3 - 2*t**3)*(-3*t - 8*t + 48*t) - 3*t**4 + 2*t**4 + 2*t**4.\nAnswer: -73*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 142.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 4. Let t be p(-7). Let v = t - 7. Suppose 2*h + 0*h - 4 = 0. Solve h*l - v = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2850 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3520, 14014, 31512, 56014, 87520, 126030?\n\"Answer: 3502*l**2 - 12*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j + 1542 = 0. Let t = -1980431401\/1280072 - -1\/160009. Let g = t - j. What is the common denominator of g and 49\/13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 0, -4118, -15 in descending order.\nAnswer: 3, 0, -6, -15, -4118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**4 + 16*o**2 - 18*o - 15*o**6 + 25*o - 7*o wrt o?\nAnswer: -1800*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-16))\/1)\/(108\/((-55296)\/32))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h - 20375 = -19045 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 11*h + 19. Let c = -8 - h. Suppose -4*p = -c*p + 42. Calculate the lowest common multiple of p and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 2165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.03281.\nAnswer: 0.006562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1267254 (base 12) to base 2\nAnswer: -1101110011111010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1645 - 1123. Suppose 2*z + 3*r = 251, -2*r + 0*r = 4*z - h. What are the prime factors of z?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2754.627 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/17)*b*b*b*b**(-5\/3)*b**(3\/2)*b**(-1) assuming b is positive.\nAnswer: b**(199\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -3)\/(-4) + 6\/7. Which is the second biggest value? (a) 1 (b) -2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 - 2*f + 4. Calculate v(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h\/(h**4*h)))))\/(h*h**(-3)\/h))**(1\/4) assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*j = 47 + 367. Let i(h) be the second derivative of -1\/10*h**6 + 13*h - h**j + 1\/4*h**4 + 0 + 3\/10*h**5 + 0*h**2. Factor i(t).\nAnswer: -3*t*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2568640 and 11822.\nAnswer: 660140480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219055 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*n - 75, 2*h - 42 = 4168*n - 4169*n for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, 1, -3.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8765 - -15384. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 114, 217, 388, 627, 934?\n\"Answer: 34*w**2 + w + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 744 and 1581.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 320873 at least as big as 3529618\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762347495?\nAnswer: 5, 7, 13, 53, 101, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 37*c + 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*z + 73*z - 149*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23960641?\nAnswer: 23, 29, 35923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 + 489197*b + 2*b**3 - 489197*b.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -19*y + 1. Let m = -4 - -3. Suppose -3 + 17 = z. What is the smallest common multiple of f(m) and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 - ((22 - -23) + 8)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283863\/5 - ((-1887)\/85)\/(-37).\nAnswer: 2, 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(5655\/261)*(12 + -1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1577914 is divided by 86?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7831352 divided by 113\nAnswer: -69304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1660 divided by 166.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119210, -238422, -357634, -476846?\nAnswer: -596058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184\/(-98) - -22 - (2\/(-7) + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/4924 and 133\/13080.\nAnswer: 16101480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*k - 197*k + 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*u = 264*u + 299*u + 2222 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 + 1768*z**4 + 1764*z**3 - 1768*z**2 - 1766*z = 0.\nAnswer: -883, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 3*r - 5. Let l be u(4). Let s = 1 - l. Let z(m) = -4*m**2 + 3*m**2 - 5*m - s - 5. Give z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13186743, 26373518, 39560293?\n\"Answer: 13186775*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662536493.\nAnswer: 3, 103, 1793459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 52\/5*g - 32*g**3 + 6\/5*g**4 + 102\/5*g**2 = 0.\nAnswer: -1\/3, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -88. What is the smallest common multiple of 2\/(-4) + x\/2 - 4 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 9*r**2 - 12*r - 14. Let q be 5 - (-2 - (27 + 1)). Suppose -34*w + q*w - 1 = 0. Suppose -2*n - 19 = w. Calculate o(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2196*v + 2196*v + 16*v**2 - 4392*v. Let m(t) = -3*t**2 - 4*t - 4. Let b(j) = 2*j**2 + 3*j + 3. Let q(y) = -4*b(y) - 3*m(y). Determine q(k(z)).\nAnswer: 256*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3\/185, -4, -25, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -94*i - 160. Let a(w) = 96*w + 159. Let x(b) = -4*a(b) - 5*m(b). Find the first derivative of x(l) wrt l.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6813 divided by 3.\nAnswer: -2271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k**2 - 22*k + 3*k**2 + 2*k**2 - 22 - k = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + -21361277?\nAnswer: -21361288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 7, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/2 of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5742 + 5745. Solve -d - b + 5 = 0, -w*d = -4*b - 5 + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2. Let o be q(1). Let j(w) = 2*w**2 - 2*w**2 + 2*w**3 - 3*w**3 + w**2. What are the prime factors of j(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 3*h**2 - 3*h - 3. Let d(c) = 3*c**3 + 4*c**2 + 4*c + 3. Give -3*d(p) - 4*i(p).\nAnswer: 3*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 6*w - w)*(w - 3*w - 7*w) in the form s*w**2 + l*w + r and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10332 - -123002?\nAnswer: 200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 135 - 145 - (-2 - 12). Solve -o*b + 37*b = 66 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436422.\nAnswer: 2, 3, 7, 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - 0.5. Let s = 10 + -16. Let k = 28366.2 + -28366. What is the second smallest value in r, s, 3, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4253534 (base 6) to base 13\nAnswer: -7448b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 894.81 - 0.5\nAnswer: 894.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqcpqqffcpc. Give prob of sequence qq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3744025 and 366.\nAnswer: -3743659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2)\/w)**(-21)\/(w*w**(-3))**21 assuming w is positive.\nAnswer: w**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*x + 148. Suppose -3*y + 4*k - 5*k + 158 = 0, -y + x = -5*k. What is the greatest common divisor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-36)\/2))\/(((-16)\/(-12312))\/((-376)\/(-5076))).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.173, -6, 4, 2?\nAnswer: -0.173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, t: 1, p: 1, m: 1}. Give prob of picking 1 p, 1 t, and 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + 42.7. Let c = f - 36.4. Round c to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11965 + -8363. Let u(y) = -237*y**2 - y - 3. Let q be u(-3). Let j = h + q. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 8, 4*g - x - 4 = 0. What are the prime factors of 3 + 30 - (-2 - g)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/433422 and -139\/6534.\nAnswer: 1300266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16911, 33476, 49695, 65568, 81095, 96276?\nAnswer: 111111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34094127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d - 1. Let l be ((-2)\/20)\/((-24)\/(-96))*10. Calculate the remainder when y(-6) is divided by -6 - 15\/(-1) - l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137.4 - -137.4. Which is the fourth biggest value? (a) -3 (b) i (c) -4\/3 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 68*n**3 + 13*n**2 + 12*n + 1. Let s(w) = 67*w**3 + 11*w**2 + 10*w + 1. Determine -5*r(j) + 6*s(j).\nAnswer: 62*j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5073 (base 10) in base 12?\nAnswer: -2b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = -3*v + 10*v. Let q = v + -35. Suppose 3*w = 3*u - 3, -2*w + 13 = -2*u + 3*w. Sort u, q, -4 in descending order.\nAnswer: u, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -643 = -6*r + 3569. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c - 1313637 + 2627279 - 1313642.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25\/(-3))\/((-3)\/18). Let j = 59 + d. Suppose 5*f - j = -24. Calculate the remainder when f is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2930*z = 2960*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91642 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 27*r**2 + 56*r - 27. What is o(26)?\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 6:28 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from jajaj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 5:08 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 3*y + 5*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -13477.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/88*158 - (-2 + -5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4779284 - 4779287.450233. Let r = m + 3.45. Round r to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 y when three letters picked without replacement from {y: 1, f: 1, t: 3, n: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7\/4)\/(m\/m**(-5)*m*m))\/((m**(1\/4)*m)\/m**(9\/5)) assuming m is positive.\nAnswer: m**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -31.1. Which is the biggest value? (a) z (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519 = 6*i - 2451. Let d = i + -300. Calculate the smallest common multiple of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4442 - 0.039\nAnswer: 4441.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3169458 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 27*f**2 - 177*f + 30. What is the remainder when u(8) is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*u**3 - 975 + 14*u**3 + 492 + 483.\nAnswer: -54*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -593028 divided by -6.\nAnswer: 98838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 88625?\nAnswer: 88624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**3 - v**2 + 4*v - 4. Suppose -4*g = g - 5. Let a(c) = -2*c - 1. Let z(n) = g*k(n) + 2*a(n). Let b(w) = -3*w**3 + 2. What is -7*b(o) - 2*z(o)?\nAnswer: 3*o**3 + 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o + 9. Let y(q) be the third derivative of q**4\/24 - 495*q**2. What is m(y(x))?\nAnswer: -10*x + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 4*m = -6*i + 811, 3*m = -5*i - 4004. Let x = 794 + i. Sort 30, x, -4 in increasing order.\nAnswer: x, -4, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*t + 25*t + 106*t to n + w*t and give w.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*w + 118*w = 726*w - 227*w - 477 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 71 = -2*g - 50, -3*g = -4*y - 21. Let d(i) be the first derivative of -1\/17*i**2 - 12\/17*i + 29 + 2\/51*i**g. Factor d(k).\nAnswer: 2*(k - 3)*(k + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + l)*(l + 2*l - 2*l) + 3 + l**2 - 3 + (-1 + 1 - l)*(-13*l - 9*l + 6*l)*(-2 - 1 + 5).\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 13*r**3 - 8*r + 11. Let g(b) = 4*b**3 - 3*b + 4. Let o(i) = -4*a(i) + 11*g(i). What is the second derivative of o(t) wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - 0*x. Let h(a) = 2*a**3 + 2*a**2 - 3*a - 2. Let f(o) = -o**3 - 2*o**2 + 2*o + 2. Let t be f(-2). Let v be h(t). Sort 1, x, v.\nAnswer: v, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -2.926?\nAnswer: 1.1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**3 - 3*w**2 - w - 3. Let l(m) = 24*m**3 - 14*m**2 - 4*m - 14. Let a be 3\/3*(11 - 8). Let t be (0 - (a + -3)) + -2 + 16. Give t*d(b) - 3*l(b).\nAnswer: -2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/15)\/(2944\/9936)*-3*(-8)\/162.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 766 divide 414406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9695 or 628?\nAnswer: 628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(3 - 7) + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14556, -116977, -394994, -936405, -1829008?\n\"Answer: -14633*h**3 + 10*h + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2902235?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4622640 by -33990.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 2*o**3 - 2*o**3 + (3*o**2 - 3*o**2 - 3*o**2)*(-o**2 + 2*o - 2*o) + 149*o**4 - 133*o**4 - 135*o**4.\nAnswer: -118*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5053*g**2*l**3 - 21*g*l**3 - 18*l wrt g.\nAnswer: 10106*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2)*(4*y - 4*y - 2*y) + 0 + 0 + 2*y)*(-1 - 2 + 2)*(0 - 1 - 2).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25039612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31540927967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, v: 1, c: 3, n: 5, x: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 7*w**2 - 13*w - 13. Let n be h(-5). Suppose n*u + 5*z = -19, -4*z - 29 = 2*u - 5*u. Calculate the greatest common divisor of 267 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181043899 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8662831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfzv when four letters picked without replacement from {n: 2, f: 1, v: 4, z: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 (base 7) in base 16?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 27. Suppose 0 = -3*c - 3*d + 11340, -5*c + t*c = -2*d + 15114. Suppose c = 3*s - 0*s + 3*g, 3*g = -6. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-250)\/10)\/((-40)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2080 is divided by 1\/(9 - (-12880)\/(-1432)) - 5?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -s + 15*m - 19*m, 4*m = -2*s + 28. Suppose -5 = -4*t + 23. What is the lowest common multiple of s and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 m when four letters picked without replacement from xxxmmx?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -50*x**4 + 183*x**2 - 3*x - 3. Let t(y) = -101*y**4 + 364*y**2 - 5*y - 5. Let u(j) = 5*h(j) - 3*t(j). What is the third derivative of u(g) wrt g?\nAnswer: 1272*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-5) + (-2)\/(-5). Let o(w) = w**2 - 7*w + 3. Let t(c) = c**2 - 6*c + 3. Let k(b) = 3*o(b) - 4*t(b). Give k(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-40))\/(-7*(-680)\/(-224)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 28 + (-3 - 1). What is the greatest common divisor of 105 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*m + 36, 5*s - 8*s + 48 = -5*m. Solve 8*n - 6*n = -s, -5*j - 20 = 5*n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3465 and -1\/2205.\nAnswer: 24255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2242 is divided by 1484.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-5) - ((-20)\/25 - -1). Suppose -1076 = -3*x - 2*j, 5*x - k*j = 605 + 1230. Is x a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(-87))\/((-8)\/(-648))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1112, -1061, -874, -479, 196, 1223?\nAnswer: 2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14316069 to the power of 1\/2, to the nearest integer?\nAnswer: 3784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4050 - 17658 = -15894*w + 15492*w for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - 2*g - 5*g)*(g + g + 0*g)*(-304 + 304 + 6*g**2) in the form a*g**2 + k*g**4 + x*g + c + z*g**3 and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 114 = 342. Let s = h + -74. Solve 0 = -5*n - 3*t + 18, -5*t = -s*n - t + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 474 and 2027478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2897185 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3\/r)\/r**(-7))**(-13)*(r**(-4\/5)*r*r**(-1\/2))\/(((r**(-2\/9)\/r)\/r*r)\/(r*r**5\/r*r)) assuming r is positive.\nAnswer: r**(-9907\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + -34a?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6906474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-4 + -18) - (6 + 1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 359.999342 + -360. What is r rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179*n**2 - 45663*n**6 + 22824*n**6 - 1241*n**2 + 4*n**5 + 22833*n**6 - 64*n**4 wrt n.\nAnswer: -720*n**3 + 240*n**2 - 1536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 6*z + 3*z + (0 + 1 + 0)*(-4*z - z + 3*z) - 5*z + 0*z + 4*z + (13 + 6 + 2)*(0*z - z + 0*z))*(-4*z + 3*z - 2*z)*(3 - 1 - 4).\nAnswer: -150*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 663904793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/(-180) - 85\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8 = 5*a. Suppose -4*c = a*c - 48. Suppose 23 = c*r - 9. Solve 2*m = 4*m + r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2137, 8318, 18641, 33106, 51713?\nAnswer: 74462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181586371?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000051186 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, 2, 3, -8 in ascending order.\nAnswer: -8, -5, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -s + 1379, -34*a + 36*a + 3*s - 924 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1647672 and 1560.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11359056 divided by -30867?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - -677?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c + 46 = 4*f, 2*c + 5*f - 33 = 0. Suppose -60 = 24*n - c*n. Let b(y) = -3*y - 5. Determine b(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51093\/4070 + -3\/370. Which is greater: 12 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**3 + 72*n**2 + 7*n. Let g = 21218 + -21214. Let z(o) = -3*o**3 - 36*o**2 - 4*o. Give g*j(h) + 7*z(h).\nAnswer: -h**3 + 36*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 4*p - 65, 24 = -4*t - 3*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133.88*-0.1.\nAnswer: 13.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42504 and 161?\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*z + 14*z. Suppose -d + 9 = z*d. Solve 4*v - v + 22 = -2*f, -5 = 5*v - d*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (3 - (0 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*q = 158 + 20, -2*l + 2*q = -364. Suppose -l = -4*c + i, -3*c + 5*c - 90 = i. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2\/3 - 29108*k + 87328\/3 = 0. Calculate k.\nAnswer: -21832, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206727 is divided by 68906.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + c - 7*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.8.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1171*l = 1215*l + 167020 for l.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81 in 20, 0.325, -1\/4, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 33.4297?\nAnswer: -1.337188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 8*m**2 + 12*m**2 + 0*m - 5*m. Let s(x) be the first derivative of -x**3\/3 - 4. Give h(s(b)).\nAnswer: 7*b**4 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-98))\/((-474)\/2607*1*(-242)\/14).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11+-445448\nAnswer: -445459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10528*x - 39 + 39 + 5243*x + 5285*x - 10*x**3.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.18 - 0.18. Let j = 4.791 - -0.109. Let l = m - j. Which is the nearest to l? (a) 0 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85909 divided by -1\nAnswer: -85909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(238) + (3*sqrt(238) + sqrt(238) - sqrt(238)))\/sqrt(7))\/sqrt(2).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*g + 10 = 0, 0 = -5*n - g - 4*g - 25. Suppose n = -4*a + 4*v + 1131 - 243, -4*a = v - 903. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.283*3.01.\nAnswer: -3.86183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/20 - 3*z**2 - 21. Let c(x) be the third derivative of x**4\/12 - x**2. Calculate q(c(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-94)\/(-10) - 96\/(-60)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**3 - 2*p**2 + 2*p - 1. Let x be t(1). Let g be -4 + 112\/12 - (-3306)\/(-551). Sort g, x, 0.\nAnswer: g, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446315137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.094929 or 0.1?\nAnswer: -0.094929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -44. Calculate the highest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*v + 13845, -d + 3*d - 2777 = -v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3)\/(130\/208) + (-21)\/(-105)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*y = 6, 4 - 1 = -5*m + y. Let x(f) = -f + 2. Let p be x(2). Suppose p = n + 3 - 6. Solve -s - 7 + n = m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 15*r - 6. Let f be g(10). Suppose 4*u - 6*u + 5*z = -145, -403 = -5*u - z. Let h = u - f. What is the highest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2349 - -4006. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2094183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 - 1 = 0. Suppose k*l = -0*m + 4*m - 92, 22 = m - l. Solve 5*o = -i + m, o - 17 = -3*i - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14123*k**3*t**2 + 273*k**2*t*x + k*t**2*x + 24*k*t**2 + 18*k + 3*t**2*x - 114*t**2 - t wrt k?\nAnswer: 84738*k*t**2 + 546*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (2 - 48) + (-1 - -11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-14))\/(-8)*14\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 1428*l\/5 - 254898\/5.\nAnswer: -2*(l + 357)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 greater than or equal to 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2373 + 7354 + 3713 = -1120*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65659, -121333, -177007, -232681?\n\"Answer: -55674*b - 9985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 371*i**3. Let s(g) be the second derivative of -37*g**5\/20 + 1058*g. Give -21*s(v) - 2*z(v).\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 z when three letters picked without replacement from tllzakzt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -179*a**3 + 1071*a**2 + 199*a - 1056. Calculate n(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 - y**4 + 0*y**4 + (2*y - 4*y + 0*y)*(-7*y + 3*y + 14*y)*(3*y - 3*y + 5*y**2).\nAnswer: -98*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 61 = -277. Calculate the highest common divisor of 333 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 5*y - 3. Calculate the smallest common multiple of i(6) and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 9. Let z = 6 - 4. Suppose 2*s - 6 = -z. Is s less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*10.5.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*u + 12, -3*u + 4*u - 2*f = -7. Which is the closest to -7? (a) 1\/9 (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/4 in 0.011227, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 837 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1299, -2599, -3899, -5199, -6499?\nAnswer: -7799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -276, -369, -410, -381, -264?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - -0.6. Let c = q + -4. Is -2 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/(w**(3\/8)\/w))**(-48)\/(w*(w**(-1\/8)\/w*w*w)\/w*w**(-2\/5)*w*(w**(-2\/7))**(-2\/23)) assuming w is positive.\nAnswer: w**(-821099\/6440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - 0.35. Let a = -0.34 - -0.04. Let m = a - l. What is the closest to 0 in -3\/2, 2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 454*v + 21 + 53*v + 365*v.\nAnswer: 872*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1393 and 1687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*t - 1, -5*h - 2*t = -2*h + 4. Let q be 1586\/1 - 4 - h. What is the first derivative of 1584*d**2 + 0*d**3 - 13*d**3 - q*d**2 - 24 wrt d?\nAnswer: -39*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 13 = o, -30*o = 3*b - 33*o + 3. Solve 2*f = -m - f + 2, -b*m + 4*f - 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 11010011101011101000?\nAnswer: -11010011101011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 20 - 0. Calculate the greatest common factor of 32 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x**(-2\/3)\/x)\/x)*x)\/(((x**(2\/7)*x)\/x)\/x))\/(x**(2\/9)\/x)**(3\/7))**(-14) assuming x is positive.\nAnswer: x**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/9))**(6\/25)\/((f*f*f\/((f\/(f*f\/((f*f**6)\/f)))\/f))\/(f\/f**12)))**(-3\/10))**(-23) assuming f is positive.\nAnswer: f**(-8579\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45268 (base 9) to base 12.\nAnswer: -15515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -181, 3, 1, 31, 0.88?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1665 = 4*p - 5*i, -16*p + 2091 = -11*p - 3*i. Calculate the greatest common divisor of 1155 and p.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20101 - -2100211122120?\nAnswer: 2100211212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Let p(g) = -3*g + 4*g + f - 2. What is the units digit of p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n**2 + 63*n + 62. What is the remainder when z(6) is divided by (-1 + 2\/(-4))*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55ab8 (base 13) to base 3.\nAnswer: -21220111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34016, 34063, 34108, 34151, 34192, 34231, 34268?\nAnswer: 34303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1199 times 2\nAnswer: -2398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3778 divided by -1.\nAnswer: 3778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9469 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/8, 2\/11, -49\/4, 6\/17, 2\/7 in increasing order.\nAnswer: -49\/4, 2\/11, 2\/7, 6\/17, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*z - s + 40, 0 = 5*z - 3*s - 5. Let y = 0 - z. Let n be -1 - -5*(-1)\/y. Which is the third smallest value? (a) -0.2 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = 5*b - 1544. Suppose b = 6*d - 4*d. Is 37 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 1\/2*s**2 + 3 - 13*s. Calculate v(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaausaaausa. Give prob of sequence su.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 21*k**2 + 38*k + 23. Let l be i(19). Let w = 76 - l. What is the greatest common factor of w and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.98 - 2. Let d = -0.01 - o. Round d to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjkcj. Give prob of picking 1 j, 1 k, and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -31, 327, 532 in descending order.\nAnswer: 532, 327, -3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*r - 22*r + 27*r)*(0*r**2 - 2*r**2 + 3*r**2) in the form j*r**3 + t*r**2 + p*r + g and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344682?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -3. Let j be n\/(-10) - 1\/2. Let q = 6328\/135 - 234\/5. Which is greater: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 14 + -4 + (-180)\/(-36)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 + 3 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4.1. Let m = -65.8 + 65.8. Which is the nearest to 2? (a) -4 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 119 + -120 + (-2 - -6 - (1 - -13))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9418 divided by 1\nAnswer: -9418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/317 >= 499340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.45 and -11.8016.\nAnswer: -11.3516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84344 = -2409*x - 168601 for x.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.607783g to kilograms.\nAnswer: 0.002607783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmbwwbwwmmwwb. Give prob of sequence wwm.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110.9427 - 0.0573. Let i = 1452217289.99999985 - 1452217179. Let b = i + v. What is b rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 533035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -595*v - 748. Let b be t(34). Round b to the nearest 100.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*a**3 - 30800 + 30800 - 248*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/3 - 520*p\/3 - 33800\/3 = 0.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41871 by -13957.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**4*b*b**(-1\/9)*b)**45\/((b*(b**(-3\/5)*b)\/b)\/(b**(-5)\/b)*(b\/(b*((b\/(b\/((b*b*b**1)\/b)))\/b)\/b))**(11\/3)) assuming b is positive.\nAnswer: b**(1518\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -5 + (-16 - -52)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3620 - -3623. Let f(s) be the first derivative of 0*s**p + 3\/2*s**4 + 0*s**2 + 11*s - 15. Differentiate f(i) wrt i.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -3*m**8\/112 - 2*m**4 - 29*m**2 + 1. Let y(v) be the second derivative of i(v). Find the second derivative of y(f) wrt f.\nAnswer: -180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 15. Suppose -i = 2*q - 225, -5*q - 306 - 126 = -f*i. Is 32 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*v**2 + 40*v**2 + 61*v**2 + 52*v**2.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 131*p**4\/12 + 464*p**3\/3 - 1280*p**2. Find the first derivative of v(r) wrt r.\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and (-1 - 21\/(-9))\/(3\/99)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -39. Suppose a = 2*a + 4*t, -2*t = 2*a. Solve -d = 5*b - a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10542 - 4901. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 38. Let t(l) = 15*l - 2. Let d(c) = 29*c - 3. Let x(a) = -6*d(a) + 11*t(a). What is the tens digit of x(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/22 in 2\/7, 1\/3, 0.1205, 1, 0.4?\nAnswer: 0.1205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 596 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 572606 + 572606.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1272.3348 months to centuries.\nAnswer: 1.060279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2 - 1. Suppose -x - 42 = -7*x. Calculate the least common multiple of k and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) -2 (c) 12 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -26, -60, -108, -170, -246?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (625239\/810)\/(-93) + 16\/(-5).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146546 or -146528?\nAnswer: -146546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - 5*u**2 - u**2 + (3*u + 3*u - 5*u)*(-6*u + 3*u + 2*u) + 2*u - 2*u - u**2 - 3529*u**2 - 5812*u**2 + 1766*u**2.\nAnswer: -7579*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 1982 = 2022 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(128))**2*-4 + sqrt(128) + (sqrt(128) - (sqrt(128) + 0)) + 0 + -3.\nAnswer: -2049 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -25*t - 2\/3*t**3 - 1 + 0*t**2. Let n(b) = -8*b. Determine u(n(q)).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 9*l + 3. Let x(t) = 5*t**2 - 49*t - 16. Let q(i) = 11*n(i) + 2*x(i). Let b(w) = -2*w**3 - w**2 + w + 1. Give -2*b(o) + 2*q(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (3 - 4\/2). Let u = -6 + x. Which is the closest to -0.1? (a) -3 (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85599773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q*v**3 + 5*q*v**2 + 9*v**4 + 2*v**3 - 5*v**2 + 24 wrt v.\nAnswer: -12*q + 216*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, -0.1, 2.9, -7\/5, 147?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-10)*(-227 + 72). Which is bigger: -525 or t?\nAnswer: -525","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 682 and 124?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 248*q**2 + 2 + 268*q**2.\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/39)\/f*f*f*f**(-25\/3) assuming f is positive.\nAnswer: f**(-83\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3\/7 - 89674*m**2\/7 + 1797680*m - 62967800 = 0?\nAnswer: -44977, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 520 = -7*s. Is 13 a factor of (s\/12)\/((-2)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - -8. What is the highest common divisor of 39 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.15 + -30.15. Let o be 24\/(-28)*2\/(-6). Which is the fourth smallest value? (a) -2 (b) o (c) 2\/3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 3160805 + 90*d**2 - d + 3160805. Let t(a) be the third derivative of -a**5\/60 + a**2. Calculate x(t(g)).\nAnswer: 90*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k - 4*a - 5, 5*k + 2*a - 3 = 0. Let m(b) = 2*b**2 - 1. Let o be m(1). What is the highest common factor of k and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-189)\/35))\/(28*33\/22176)?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1203011 - 120?\nAnswer: -1203131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 10:00 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79906, -159812, -239720, -319630?\n\"Answer: -l**2 - 79903*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-10) - (-9 + 5 + -1).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160.56 - -2.56. Let q = 3545971.819 + -3546129.8190109. Let i = q - j. Round i to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 604 in decreasing order.\nAnswer: 604, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 225*a**3.\nAnswer: -5*a**3*(a - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*v = -9626, -1957 - 2856 = -o - 2*v. What are the prime factors of o?\nAnswer: 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - r = -207, 3*v = -0*r + 5*r + 189. Suppose -5*p + 2 = 5*j - v, -2*p + 28 = -3*j. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m - 20. Let b = 75 - 64. Let p = b - m. What is the least common multiple of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 3. Suppose 0 = u - 6*u + 5, -2*u + 2 = 5*d. Let w be v(d). Let a = w + -1. What is the third biggest value in 4, -2\/5, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 279 - 279. Find the common denominator of 81\/2 and 184\/(-42)*(r + (-9)\/16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 217\/5 - 30\/(-50). Let q = g - -70. Let x = 189 - q. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -22 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - -2.09. Let h = -3 - -2.9. What is the biggest value in 3\/7, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 4. Let w be d(-3). Suppose 0 = -w*k - 2 + 22. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-5))\/((-2)\/(-2834)). Let s = a + 11061\/40. Calculate the common denominator of (5\/27)\/(5 - 14\/3) and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 108, 109, 110, 111?\n\"Answer: i + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 62. Which is the closest to 0.2? (a) 5 (b) 7 (c) i (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.01328\nAnswer: 0.03984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 160*v**3 - v**2 + 12*v + 13. Calculate t(-1).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5813.\nAnswer: 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95077 - -18825185\/198. What is the common denominator of a and 133\/660?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7*q - 200 = 0. Let y = -48 - q. Suppose -y = -s + 21. Solve 0*w + s = 5*n - w, 4*n - w - 19 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2015 and 17906785?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q - 1. Suppose g + 2*g - 13 = -4*k, -4*g + 8 = -4*k. Let o be y(k). Sort o, 3, -1 in increasing order.\nAnswer: o, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let m = -227 - -234. Suppose 4*u + m = -1. What is the second biggest value in u, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, 0.781, 15.8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/1064 and 37\/95.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/21)\/v)\/((v**(-4\/5)\/v)\/v*v*v*v*v))\/(v**(-8\/7)*v\/v**8*v) assuming v is positive.\nAnswer: v**(529\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 98, 219, 378, 569, 786, 1023?\n\"Answer: -h**3 + 28*h**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*l + 76 = -l, 50322 = -2*a + l + 50354 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 16)*(9\/(-15) + 1). Suppose 16*r - 14*r = k, 5*r = 4*f + 3. Solve -p = f*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 3*p - 76, 4*p = 1954*v - 1964*v - 78 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-18.9\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {z: 2, o: 4, j: 4, k: 2, i: 1, t: 1}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v - 18 = 0. Let c = 4 - v. What is the remainder when -1 - -26*(c + 3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpff when four letters picked without replacement from {p: 2, f: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 50 - 5 = 0. Solve -l*q + 2 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*3*6\/(-1 - 5). Solve 0 = -j - i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 3825885?\nAnswer: -3825889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -206.6 (b) -1\/3 (c) -0.4 (d) 13 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**3\/6 - 2*n**2 + n. Suppose -11*m - 68 = 6*m. Give w(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5243 by -1.\nAnswer: 5243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1351 or 1350?\nAnswer: 1350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19b - 819?\nAnswer: -65c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3980219665?\nAnswer: 5, 509, 1563937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 825*s + 194617. Give u(-236).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v + 39 - 69 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 32 = 5*y + 16, -f - 3*y + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o + 5 = 3*k, 4*k + 4 = 0. Let i(a) = 2*a + 7. Let p(m) = 3*m + 0*m + 184 - 171. Let y(z) = 5*i(z) - 3*p(z). Give y(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 20184408997\nAnswer: -20184409000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zui when three letters picked without replacement from uuiiuzzuu?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 - 11*k + 132. Let c be z(-29). What is the thousands digit of (44\/(-8))\/11*c*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41333, 41324, 41301, 41258, 41189, 41088, 40949, 40766?\nAnswer: 40533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 984 + -983. Sort x, -2, 2, 0.1 in decreasing order.\nAnswer: 2, x, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u + 4*u + 2*u + (3*u - 2*u + u)*(3 + 1 - 3) + 0 - 2*u + 0 + u + 1 - 1 + (1 + 4 - 3)*(1 + 2*u - 1) - u - 1 + 1.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030389 + 0.05093?\nAnswer: 0.081319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 37254.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*j**4 + 1716*j**2 + 1960 + 459*j**2 - 3500*j - 69*j**2 + 244*j**2 - 5*j**5 - 725*j**3 = 0. What is j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 712389*h**3*o + 10*h**3 + h**2 + 3*h - o**4 - 407 wrt o?\nAnswer: 712389*h**3 - 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/16 and (879\/108 - 1) + -4?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(-16)\/r))*r**(-8)*r**1\/((r*r**(2\/41)\/r)\/r))**6 assuming r is positive.\nAnswer: r**(-5670\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62794, -128199, -193604, -259009, -324414?\nAnswer: -389819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18515 divided by 3703\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 5)\/((-3)\/2). Suppose 6*z = 3*z. Suppose z = -h*g + 45 - 5. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from auzauuzaaaua.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19599 divided by -1?\nAnswer: 19599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + f**2 + 11*f + 9. Determine n(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*n, -3*n - 11 = 5*j - 51. Solve -a - 4 = -2*z - 4*a, -36 = j*z - 4*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/70)\/(10\/(-225))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 2. Let z(m) = -m**2 + 7*m - 8. Let v(u) = 5*u + 1. Let r be v(1). Let i be z(r). Let p be 0*(0 + 1)\/i. Calculate b(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 1. Let l be i(-3). Let t be 1\/(-2) - (-7)\/2. Solve 0*n = d + t*n + 9, -4*d - n = -l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2. Let a(k) = 425*k**2. What is a(p(q))?\nAnswer: 51425*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 1688*j - 712104. Determine s(829).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1370 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*o**5\/7 - 140*o**4 + 2456*o**3\/7 - 2628*o**2\/7 + 1238*o\/7 - 200\/7 = 0. Calculate o.\nAnswer: 1\/3, 1, 100\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 936*i - 2809*i + 940*i + 934*i. Determine z(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**2 + 229626*p + 688851 = 0.\nAnswer: -76539, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 465*s + 74739. What is q(-161)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (9 - 6) + -11 + -9 - 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkksspsspkj. Give prob of sequence jp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -3*r**6\/5 + 186*r**5\/25 - 103*r**4\/10 - 38*r**3\/5 + 112*r**2\/5 - 72*r\/5 - 580. Suppose s(z) = 0. Calculate z.\nAnswer: -1, 2\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 43, 97, 173, 271, 391, 533?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/27 + (-2595)\/(-27). Suppose h = 4*h + q. Let f = h - -36. Solve -4*t = -t - 12, -f*u = -5*t + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 110011?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 3*l + 0*l)*(-6*l**2 + l**2 + 3*l**2) - l**3 - 2*l**3 + 4*l**3 + (-l**2 + 3*l**2 - 3*l**2)*(l - l - 3*l).\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 8797.2\nAnswer: 79174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + -3 - (24 - 30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13585, -13466, -13335, -13186, -13013?\n\"Answer: j**3 + 112*j - 13698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -20545 (b) 7\/8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccn when four letters picked without replacement from {c: 7, n: 9}.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/(-720) + 42\/(-168).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, -3, 0.03 in increasing order.\nAnswer: -3, -0.5, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-21) + 198\/14. Let q be ((-6)\/4)\/(g\/(-4)). Which is the smallest value? (a) -1 (b) -2\/17 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8529994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -60.8884?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 138 = -o. Let h = o - -73. Solve 0 = -h*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3801 + -3654. Solve 73*t - 24*t = f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1163 - -3691. Suppose -10*q = -372 - u. Let m = 440 - q. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1309536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Let q = 44425 - 44393. Sort -4, -5, s, q.\nAnswer: -5, -4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(152) - sqrt(152)*1)*4 + 4*(sqrt(152) + (sqrt(152) + 2*sqrt(152) + sqrt(152) - sqrt(152)))))\/((sqrt(56) + 1*sqrt(504))\/(-6*sqrt(28))).\nAnswer: -288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from {c: 1, u: 1, b: 1, r: 1, e: 1, o: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 407, 809, 1211, 1613, 2015, 2417?\n\"Answer: 402*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12597 is divided by 140?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272 + 0 = 15*g + 313 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:59 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 381*s**3 + 6139*s**2 - 2 - 3034*s**2 - 3104*s**2 + 2*s**4 + s in the form k*s**3 + h*s**2 + n*s + f*s**4 + y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15047 + 5189 = 74*r + 38*r + 47*r for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6204 - -8465. What are the prime factors of f?\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-624)\/(-104)*((-6)\/2)\/27)\/(149\/3)?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 12. Suppose -b - 43356 = -n*b. Let j = 190322 + b. Round j to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9605, -9463, -9323, -9185, -9049, -8915, -8783?\n\"Answer: -k**2 + 145*k - 9749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 3*d + 1. Let w(x) = -x. Let s be w(3). Let y be z(s). Which is the second smallest value? (a) y (b) 0 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n**2 - 27*n - 1568. What are the prime factors of r(-51)?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g*g**(-1\/3))*g))\/g)\/g)\/g*g*g**(3\/11)*(g**(1\/4))**44 assuming g is positive.\nAnswer: g**(295\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2879*o**3 + 28*o**2 + 766*o + 8. Let c(l) = -2878*l**3 - 21*l**2 - 766*l - 6. Let h(x) = 4*c(x) + 3*p(x). Find the second derivative of h(g) wrt g.\nAnswer: -17250*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238715 - 238830.881. Let b = 115.796 + 0.204. Let f = q + b. Round f to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -791, -4694, -15293, -35936, -69971, -120746, -191609, -285908?\n\"Answer: -558*w**3 + 3*w - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699024011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 86.08. Let b = 0.92000256 - m. Round b to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(26\/((-2548)\/70)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -153. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:39 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -150, -247, -342, -435, -526, -615?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000397379 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 123*x + 3905. Give m(80).\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2044*h**2 + 4*h - 3. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 5*y - 4*y)*((2 - 2 - 2)*(0 + 2 - 1) - 4 + 5 - 3 + 0 + 3 - 2 + 4 + 1 + 1 + 2 - 8 - 13).\nAnswer: -80*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1622 divide 463797924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -33413 (base 9) to base 6\nAnswer: -250450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(22*p - 4 - 21*p + 6)*(-p**3 - 3*p**2 + 3*p**2).\nAnswer: 3*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 9*g + 7. Let m be k(7). Let j(w) = -2*w**2 - 4*w + 1. Let i be j(-3). Let b = i - m. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 4*t**2 + 2*t - 3. Let u be a(4). Suppose u*g = 19 + 11. Factor 2*i + 2*i**5 + g - 12 - 8*i**2 - 8*i**4 + 12*i**3 + 6.\nAnswer: 2*i*(i - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2 = g, -g - 5*x = -0*x + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(18)\/(sqrt(4)\/sqrt(2)) - 1*(sqrt(9) + sqrt(36)))\/((sqrt(147)*3*-4 - sqrt(147)) + sqrt(147)).\nAnswer: sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 2*n**2 - 4*n + 4. Let s = 23 + -25. Let j be (-3)\/(-6)*-2 - (s - 2). Let o(y) = -2*y**3 - 3*y**2 + 5*y - 5. What is j*f(q) + 2*o(q)?\nAnswer: 2*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/500948 and -37\/84.\nAnswer: 1502844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160.3 - 160. Let n = 17 + -14.5. Let o = n - 4.5. Which is the closest to j? (a) 1\/4 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217324 is divided by 108652.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3266668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189 + 189.00249. What is x rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.55 - 41.05. Which is the nearest to 1? (a) f (b) -1 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-13))\/((-150)\/130)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 0.1753216553?\nAnswer: -52.8246783447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 - 3*k + 2. Let v be d(1). Suppose -h + 6*w - 12 = v*w, 0 = 2*w - 10. Solve -3*f - 4*o = 1 - 3, 5*o + h = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025188 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (sqrt(240)\/(sqrt(60)\/(sqrt(10)\/sqrt(2))))\/((sqrt(10) - -1*sqrt(810)) + sqrt(30)\/sqrt(27)))**2*-5.\nAnswer: -38620\/961 + 120*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/18*25\/((-700)\/21). Let r be 7\/20 - 4\/(-10). Which is the third smallest value? (a) 0.4 (b) w (c) r (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339476 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d - 79. Let s(w) = -9*w - 90. Give -9*k(m) + 8*s(m).\nAnswer: 9*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 130*x - 136*x + 22428. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 11*r**2 - 8*r + 1. Let z be s(-11). Suppose -21 = -2*u - 5*j, 3*u - z = 2*j + 2*j. Calculate the greatest common factor of 115 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4067, 14640, 32253, 56900, 88575?\nAnswer: 127272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/45)\/(h*h\/(h**(-1\/5)\/h*h*h)*h) assuming h is positive.\nAnswer: h**(-101\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 a when four letters picked without replacement from {k: 9, t: 3, a: 2, m: 4}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41698?\nAnswer: 2, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a*a*a*a**1*a))\/a*a*a)\/a*a*a*a\/(((a*a**(-2\/3)*a)\/a*a)\/a*a))\/(a\/(((a*a*a\/((a**0\/a)\/a))\/a)\/a)*a)**(-25\/2) assuming a is positive.\nAnswer: a**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25\/3 - -122\/15. Let z = -441 - -443. Let b = -4.4 - -4. What is the closest to z in b, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.177534 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11398 greater than 11387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4245251 * -3.\nAnswer: -12735753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - 0.02. Let r = 276 - 451. Let m = r + 172. Which is the closest to -1? (a) u (b) 1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 - 101?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -876 and -1.308.\nAnswer: -877.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 4*q - 45 + 18\/5*q**3 - 29\/5*q**2 - 7\/10*q**4 - 2\/25*q**5. Factor r(o).\nAnswer: -2*(o - 1)**3*(o + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -0.04. Let w(y) be the third derivative of -y**5\/15 - 19*y**4\/24 + y**3 + 4*y**2 + 12*y. Let b be w(-5). What is the nearest to b in f, -14, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000701643 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 25 = -5*q, -4*q + 2*z - 3 + 17 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 13794.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 2*w - 1. Let a be x(-2). Let h be 342\/684 - (-18)\/12. What is the third biggest value in a, -0.33, h, 5?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 69, 57, -33, -201, -447, -771?\n\"Answer: -39*d**2 + 105*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -4, 1, 7 in descending order.\nAnswer: 7, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kraa when four letters picked without replacement from {k: 4, a: 8, r: 4}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24068*w**5 + w - 3207 wrt w?\nAnswer: 481360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**2 + 5*b - 39. Let l be f(15). Suppose -12*d + l = -3*d. Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -232281, 1, 38, -4 in descending order.\nAnswer: 38, 1, -4, -232281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 + 2*t + 0*t - 3*t**4)*((2 + 2 - 6)*(2*t - 2*t + 2*t) - t + 3*t - t + 0*t + 0*t - 3*t).\nAnswer: 12*t**5 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/495 - -829\/1980. Which is greater: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = b. Let v be b + 5\/(15\/18). Which is bigger: 4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 plus 1909?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*c + 8830 = -7*c, -4*v + 7080 = 4*c. List the prime factors of v.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -36, 39, 184, 423, 780?\n\"Answer: 4*f**3 - f**2 + 4*f - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987.3308 centuries to years.\nAnswer: 98733.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1493, -1573, -1653?\nAnswer: -1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 20*z**2 - 5*z + 2. Suppose -i - 7 = -2*t, t + 0*i + 1 = -i. Let c be g(t). What are the prime factors of (6 - 8)\/(c\/74 + -1)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41630787 rounded to four dps?\nAnswer: -0.4163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sejljljllueeeesee. What is prob of sequence ulj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - -47) + (2 - (3 - -14)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35956 is divided by 10825?\nAnswer: 3481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/22*721\/721?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.3 + -3. Let p = 9.714 - f. Let n = p + -0.034. Round n to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((1\/1)\/2)\/((-1)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 - -120. What is the hundreds digit of 6 + 3308\/12*y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1555.6625 + 0.3375. Let y = x + -1564.11. Let b = -1.09 + y. What is b rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 405197758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 760\/266 - 3*(3 - 2). Let t = 4.3 + -4. Which is the closest to -6? (a) t (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 m when four letters picked without replacement from mmmwmwwmwmwwwwwmwmiw.\nAnswer: 88\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -8, 0 = z + 2*a + 1 + 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 13*o**2 + 14*o + 3. Let f be k(14). Suppose 0 = f*b + b - 172. Suppose b = 2*j + 3*t - 423, 0 = 2*j + 4*t - 462. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1461 divided by -213687.\nAnswer: -487\/71229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12) - 98\/(-105).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00296 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -329\/11 + 60064\/2013. Calculate the common denominator of l and -169\/42.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4, x = -5*s + 16 + 100. Let b = s + -19. Suppose b = q - 0*q, 209 = 3*g - q. What is the remainder when g is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one fifths of a minute?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = -84. Suppose 0 = -3*x - 6 + l. Suppose -2*a + x*g + 26 = 0, -4*a - 14 = -5*a + 3*g. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:43 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243 + 18 + 63)*(v + v - 3*v) + (-2*v + 3*v + 0*v)*(1 + 2 - 1).\nAnswer: -322*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -1243011?\nAnswer: -1242552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.4 - -11. Let g = -237 + 2137\/9. Let j be (16\/456)\/(6\/18). Which is the closest to 1? (a) j (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/2, -4\/9, -1, -1.646, 11.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 1. Suppose 21*p - 53 - 73 = 0. Let z(w) = -2*w - 1. Let y be (0*(-1)\/3)\/2. Suppose y = j - 4*j + 15. Give j*z(r) + p*t(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 + 137. Let h = c - 10. Let i(b) = -10*b**3 + b**2 + 2*b + 1. What is i(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 8 - 7 - 2*v + 5*v**3. Let r be t(1). Suppose -r*d = -5*a - 125, -25 = 3*d - 4*d - 3*a. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 16. What is the common denominator of (-343)\/42 - 2*2 and 45\/r*(-20)\/(-66)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 275, 894, 2105, 4106, 7095, 11270?\nAnswer: 16829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/187, 1983, 0.4 in increasing order.\nAnswer: -2\/187, 0.4, 1983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*10\/8*(-6)\/5. What is the third smallest value in -6\/7, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3 (b) 1\/3 (c) 8 (d) 0.2 (e) 67743\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/11*22)\/(28\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*j - 4*l, 0*j + 3*j + 12 = -4*l. Let y(b) = -2*b - 19. Let n be y(-10). What are the prime factors of (n - j)\/(2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6 - 12*o - 3 - o**3 - 11*o**2 + 4. Let n be y(-10). Solve 2*l = -l - n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07075 - 295.77075. Let l = -296 - d. Suppose 0 = -2*m + 1 - 5. Which is the closest to -8? (a) l (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -91*a - 6. Is g(-44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:30 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-111)\/74)\/(6\/(-4)))\/(-1)*5\/(-44)\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 509*j**4*x**3 - j**2*x**3 + 28*j*x**3 wrt j.\nAnswer: 12216*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 5 (c) 0.7625\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2 + 7*p)*(-5 + 5 - 1) as a + o*p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzw when three letters picked without replacement from zllzzllwllszzllll?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 30*w**3 + w**2 - w + 2. Let n be f(2). Let v = 100 - n. Let b be -3*-3*(-1)\/v. Is b greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - r = 5, -5*r + 6 + 11 = -p. List the prime factors of ((-74)\/5)\/(p\/((-420)\/(-6))).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + -1 - (-115)\/(-18) and (-23)\/22*6\/2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -163665.591 and 0.1601.\nAnswer: -163665.4309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*b - 331*b = 27. Sort -4, 13, -5, b, 8 in decreasing order.\nAnswer: 13, 8, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b101 (base 15) in base 12?\nAnswer: -145491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.405981 rounded to 1 decimal place?\nAnswer: -187.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -7, 0.9, 1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 4:06 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, -4600.53?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.43 - 8.53. What is the nearest to c in -25, -4, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -8a236?\nAnswer: 8a23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374, 384, 394, 404?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6468630 is divided by 3094.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = 4. Suppose -4*y - 6*y + 186*y**2 - 2 - 97*y**2 - 97*y**l = 0. What is y?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-187))\/(-7*12\/(-154))*75\/(-4).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 - 5*h)*((0 + 4 - 5)*(-2*h + 2 - 2) + 11*h - 21*h - 21*h + 1 + 2*h - 1 + (4 - 5 + 2)*(-2 + 2 + 3*h)) to the form n*h**2 + v*h + z and give n.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -13. Suppose -19 = c*d - 3. Let z = 50\/21 + -8\/3. Sort d, z, -0.3.\nAnswer: d, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327222552931+-0.03\nAnswer: -327222552931.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1047 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 5.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 933 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6560bb5 - -10?\nAnswer: -6560ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -5*a**4\/4 - 368*a + 173. Differentiate i(f) wrt f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10 - 4 = 0. Suppose x*k + 2971 + 5072 = 0. Let f = k + 1778. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*r - 9, -4*n + 9 = n - r. Let m(z) = -19*z + 24. Let i(t) = 57*t - 71. Let g(h) = n*i(h) + 7*m(h). What is the derivative of g(a) wrt a?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 285\/(-95) - 30\/(-14).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -211011101011 (base 3) to base 11\nAnswer: -278810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4 - (-3)\/(-4). Suppose -5*l - 5*d - 35 = u, 2 = 4*l - d + 10. Let x be (-5)\/(-10)*0\/l. Solve x = 3*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*(-1)\/(3\/(-10)). Let v be (-3)\/(54\/b) + 2. Which is greater: v or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/5291 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -3\/4 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163.17 - 16.63. Let x = l + 23.3. What is x rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1664)*1)\/((sqrt(18)\/(sqrt(27)\/sqrt(3)) - sqrt(2)) + (sqrt(288) - -2*sqrt(288)) + sqrt(288)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 7.05 (c) -131 (d) -2 (e) -3\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 12, -13, -272, -1, -4, 1 in decreasing order.\nAnswer: 12, 1, -4\/5, -1, -4, -13, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 8*a - 10. Give w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 5:38 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 327*c**5\/10 + 7*c**3\/6 + 6175*c**2\/2 + 1814*c - 2. Differentiate a(w) wrt w.\nAnswer: 1962*w**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.817005 and -74.\nAnswer: 60.45837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffuuffu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 5*v - 11, -3*l + 14 = 4*v. Suppose -3*i + a = -l, 2*i - a - 4*a + 9 = 0. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, j: 11}. What is prob of picking 2 j?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.7 - -15.39. Let f = -1.26 + g. Let a = 0.6 + f. Is a < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, -0.012, -4, -6?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1516 + -133?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 60*p + 1565. Calculate x(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -15 - (-3 - 2 - -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-4))\/(126\/144). Let b = 14 - 13.6. What is the biggest value in r, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-708)\/((-44)\/16 - -3). Let p = -7143 - m. Is (-2)\/7 - p\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 - -105.97. Which is the smallest value? (a) f (b) -28 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-6))\/(1\/(-102)). Let o = -54 - u. What is the smallest common multiple of o*(-2)\/15 - 689\/(-65) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.179488 * -0.0345\nAnswer: 0.006192336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 10*q**2 + 4*q + 10. Let z be x(-7). Let l = z - -285. Is 30 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75658612 divided by 1845332?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2648 and 44\/3.\nAnswer: 7944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/30)\/(4\/10). Let g be 1 + -1 + (2 - 2). Suppose g - t = -u. Solve 2*v + m = -1, 15 = -3*v + u*m - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 - 99 - 68*t**2 + 53 in the form y*t + h*t**2 + b and give h.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57536209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert -23103415 (base 7) to base 15.\nAnswer: -29ce37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2819*l + 1410*l - 6*l**2 + 4*l**2 + 4 + 20*l**3 - 18*l**3 + 1408*l. Let q(y) = -6*y**3 + 7*y**2 + 4*y - 11. Determine 7*g(j) + 2*q(j).\nAnswer: 2*j**3 + j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-553 - -534) + (80 - 0) + -20?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/10*-1)\/(2\/4). Suppose 0 = -4*c - c + 10. Sort c, x, 4.\nAnswer: x, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3*o)*((-12 - 12*o**2 + 12)*(-2 + 3 + 2) + 1 - 1 - 2*o**2) to the form u*o + n + r*o**3 + j*o**2 and give r.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -9) + 16 + 0 + 0 + -43.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1972829 is divided by 1166.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -16*h - 2. Let x be o(-2). Let i = 42 - x. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-523620)\/(-225)*15\/6.\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -17 - 17 + 10*w + 2*w - 14. Is 16 a factor of r(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*p - p. Solve p*c - 1 = 3*c, -c = -4*b - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*c = 4, 1 + 1 = -c. Suppose -5*u + 6 - 1 = b. Let f(t) = t - 1. Let a(x) = x**2 + 4*x + 5. Let j(q) = u*a(q) + 2*f(q). Give j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 - 3*o**5 + 2*o**5 + (-115*o**3 + 74 + 74 - 150)*(0*o**2 + 2*o**2 + 0*o**2).\nAnswer: -233*o**5 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 173 = -36. Solve 4*a - o = -31 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = r + r. Suppose -r = s + 2*p, 0 = 4*s + p + 2*p + 12. Suppose -2*v - v = -12, 5*c - 4*v - 29 = s. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40.91 - 0.09. Let y = 40.71 + w. What is y rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607817627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9705 + 20177. What are the prime factors of t?\nAnswer: 2, 67, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*v + v, 2*v = 5*r + 16. Let m be (4\/(-3))\/(r\/300). Suppose -m + 17 = -3*d. List the prime factors of d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 46, 33, 24, 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**4 - 2*r**3 + 16*r**2 + 7*r - 11. Let q(c) = -c**4 + c**3 - 5*c**2 - 3*c + 4. Let j(o) = 21*q(o) + 6*u(o). Solve j(b) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 499 + -318. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3\/2 - 739843*v**2\/2 + 16276909*v\/2 - 89523665\/2 = 0.\nAnswer: -739865, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 - 1599*a**2 + 61*a - 7327553.\nAnswer: 3*a**2 - 3198*a + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54653394347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c = -141*c + 178. Sort -5, -4, -2, -8, c in decreasing order.\nAnswer: c, -2, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - 0. Let o = -5.232 + 5.232. Which is the second smallest value? (a) l (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4081207 by -5.\nAnswer: -4081207\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15116, 30289, 45460, 60629, 75796, 90961?\n\"Answer: -d**2 + 15176*d - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5 + 1)\/(-1))\/1. Solve c = -c - i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1912 and 6453?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 30, -2\/3, -5 in increasing order.\nAnswer: -5, -2\/3, -2\/7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3099*o**2. Let i(p) = -2*p**2. Give i(c(d)).\nAnswer: -19207602*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*g - 13*g + 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 395772 and 14455.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from {w: 1, x: 1, y: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - -2.3. Which is the closest to -2\/3? (a) 2\/7 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4110?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 23 + 16 + v**2 - 24*v - 3 + 16. Let f be k(22). Suppose 0*x = f*x - 88. Calculate the remainder when x is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0142534 years to millennia.\nAnswer: 0.0000142534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/587022 and -179\/34050.\nAnswer: 14675550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 3 + o + 0*o**2 + o**2 - 6*o**2 + o**2 + 3*o**2 + (-3 + 3 + o)*(-4*o + 3*o - o) to r + g*o**2 + p*o and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 8. Suppose -6*c - 3155 = -m*c. What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, n: 4, k: 2}. What is prob of picking 2 n and 2 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 962 + 1182 = 8*q. Does 267 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = v - 28, 7*v + 2*b - 30 = 2*v. Let l(w) = w. What is the units digit of l(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120871575.\nAnswer: 3, 5, 11, 73, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 52. Suppose 0 = u*h - 3*g - 100, 0 = -3*h + 3*g + 57 + 21. Calculate the greatest common divisor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1136 (c) -7 (d) 6\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 104 + -17 + (0 - -2)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 7:53 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 3*f - 97 = 5*r, 3*f + 103 = 2*r. Calculate the remainder when r is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaauuaaaaua. What is prob of picking 2 a?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10894*j - 229442 = -8316*j for j.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 213007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.5, 2\/203, 0 in descending order.\nAnswer: 2\/203, 0, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let f be (7 + -2)*3\/3. Suppose 0 = -f*m + 8 + a. Solve n = -n + m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 118580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -711575\/54 - -13175. Calculate the common denominator of m and 83\/32.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -314719875*y**2 - 123291499?\nAnswer: -629439750*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (23*(-558)\/(-4991))\/(-6)*(-112)\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*h - 3*o - 200, 120 = -3*h - 2*o. Let f = 23 + h. Let t = f + 15. Which is smaller: t or -8\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 57*k - 1728 = -49*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 16 + 2 = 0. Let j = 176 - 123. Let r = 53.4 - j. Which is the biggest value? (a) 0.5 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*f - 1. Put 0, f, -4 in ascending order.\nAnswer: -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - -87. Which is the second smallest value? (a) -1.06 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1166 divide 9752424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h + 4*k - 42, -h - 2*k = 13. Let y = h + -2. Let o be -6 - -8 - y\/(-8). Which is the third biggest value? (a) 4\/5 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15 = -4*i, -2*p + 26 = -2*i. What is the tens digit of 2*((-6)\/5)\/(p\/(-170))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0609385 to 4 dps.\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190293669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 95?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let n = -266 + 268. Calculate the greatest common factor of n and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1418 and 25897643.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 1 + 1. Let g be 39\/f - (2 + -3). Suppose -g = 2*m - 7*m. Solve 3*i + 11 = -2*x, -2*i - m = -x + i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 12*v - 11. Let t be x(1). What are the prime factors of ((-3)\/(-9))\/(t - (-2366)\/(-2367))?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 552\/5 - 110. Let b = -0.38 - 0.02. What is the closest to 1\/4 in 5, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00214377 rounded to 5 dps?\nAnswer: 0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117402?\nAnswer: 2, 3, 173189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -12*q + 35. Suppose 3*o = n + 2249, 5*o + 6*n = 2*n + 3737. What is the greatest common factor of q and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -3, -2, 89?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/123220 and 19\/9520?\nAnswer: 58652720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:45 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 290 + 290.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, 5, -39\/7, -30, -2 in descending order.\nAnswer: 5, -6\/5, -2, -39\/7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 5:21 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 8. Let a = -16 - y. Suppose 2*r - 14 = a*p, -3*p - 17 = -0*r - 2*r. Solve l + l = -q + 8, -l = -2*q - r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -16, 2 in increasing order.\nAnswer: -16, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (539\/175)\/((-909)\/22725)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 2) + -8 + 784\/16 + -41.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1883*i = 1615*i + 7504 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, f: 1, o: 3, b: 2, n: 1, s: 2}. What is prob of picking 3 b and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(275))*3)**2 - (sqrt(275) + sqrt(275) + -2 + sqrt(275))*3 - (-2*-2*sqrt(1584) + sqrt(1584) + (sqrt(1584) - (sqrt(1584) + -1)*4))**2.\nAnswer: -3862 - 327*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:02 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1.2222\nAnswer: -6.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 741966, 741964, 741962?\nAnswer: 741960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 7 = y, -f = -4*f - 3*y + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 746 - 701. Suppose r - 2*j = 14, 4*j + h - 3 = -2*r. Let s(t) = 6*t**2 + 1. Let u be s(-3). Sort u, 3, r in decreasing order.\nAnswer: u, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -516, -514, -510, -504, -496, -486?\n\"Answer: v**2 - v - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 22*s**4\/9 - 1580*s**3\/3 - 56998*s**2\/9 - 49844*s\/3 - 7264 = 0.\nAnswer: -8, -3, -6\/11, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*p + 72*p = -21*p - 2301 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201044 divided by 2.\nAnswer: -100522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.6. Let s = 0.03 - -0.07. What is the third smallest value in c, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64c346 (base 16) to base 8.\nAnswer: 31141506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -611*i**2 - 2*i - 7. Suppose -4*v + 2*c = 4, -4*c - 11 = -3*v + c. Let k be s(v). What is k rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w + 2. What are the prime factors of y(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1839?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3 (b) 0.28 (c) -0.2 (d) 19 (e) 1\/19 (f) -0.07 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*j + 0*j + 24*j to h + w*j and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1302 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1001110111110001110100?\nAnswer: -1001110111110001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32337 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28\/3 (b) 4 (c) -1\/6 (d) 1\/4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17399 times -1.1?\nAnswer: -19138.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 5*d**2 - 3*d - 4. Give x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {s: 1, h: 19}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 969, 970, 971, 972, 973, 974?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173.579 - -173. Let m = -4.579 - q. What is the closest to -0.2 in -0.1, m, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d\/(d\/d**(-2\/7))*d)\/d)\/d)\/d)\/d)\/d**(-5)*d**(-2\/37)*d\/(d\/(d*d*(d**(-2\/15)*d)\/d)) assuming d is positive.\nAnswer: d**(17587\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdap when four letters picked without replacement from laofpddp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g - 34*g + 1596. Let w be g\/14*1\/6. Solve w = 3*y + 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*d + 20 = 455*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57129654577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2. Let y(w) = -3*w - 1 + 0 - 4 + 2. Let d(b) = -b**2 - 2*b - 2. Let s(k) = 3*d(k) - 2*y(k). What is a(s(g))?\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 243*x + 2008*x - 66 + 3800*x to the form w*x + c and give w.\nAnswer: 5565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -38\/13, -5, 0.01, 0, -0.5?\nAnswer: -38\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) - -6*4\/(-48). Suppose v = 2*n - 5*q - 128, n - 64 = -5*q + 4*q. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s + 1079 + 1408 = 12*s + 667 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0 (c) -8 (d) -38\/3 (e) 644 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-3 + 8 - 1) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let y be q(5). Let h = 15 + -15. Put h, -3, y in increasing order.\nAnswer: y, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212152 - 424?\nAnswer: 211324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 9:34 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 833*h**2 + 38*h - 30. List the prime factors of n(6).\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 1.322.\nAnswer: -1.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 13. Let u be x(14). Let q = -19 + u. Calculate the remainder when 23 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**3 - d**2 + 2*d - 2. Suppose 2*t = t - 1. Let o(r) = r**3 - 1 + 20*r - 4*r - 5*r - 10*r. Give t*n(q) + 2*o(q).\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2846 (b) 2 (c) 1\/46 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(100) - sqrt(100) - (sqrt(100) + sqrt(100)*-1)*-5)\/(sqrt(245)*4*6).\nAnswer: 11*sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15838 + 2362 - 299*u**2 - u**3 + 298*u**2.\nAnswer: -u**3 - u**2 - 13476","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -388*v - 21525 + 7375 - 28186 for v.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/63 and -103\/4178304.\nAnswer: 29248128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/18 - -8\/9. What is the third smallest value in c, -4, -1\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (504\/(-30))\/((-6635)\/5308*(-8)\/(-5))?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*c - 5*q + 1, -10 = c - 4*q. Suppose -c*x = 3*x - 35. What is the remainder when ((-26)\/3)\/((-24)\/36) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 11*r**2 - 19*r - 9. Let i be g(-9). Let z be 10 + i\/2 + -3. Solve 5 = 3*f - z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387005791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b - 5. Let y be g(-1). Solve y*h + 3*h = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-2) - 2)*16\/2. What is the second derivative of -10*l - 26*l**m + 16*l**4 + 17*l**4 wrt l?\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143060, -143052, -143042, -143030, -143016, -143000?\nAnswer: -142982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -82*c + 4044. Determine p(49).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33475778 and 11?\nAnswer: 368233558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*l**2 + 204\/7*l - 416\/7.\nAnswer: 2*(l - 2)*(l + 104)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2295637 and -4422481.5?\nAnswer: 2126844.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109287 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-10)*0)\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11903 is divided by 2377.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 5458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5bb0 + -1?\nAnswer: 5bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 10\/4)*122. Let z = r - -3. Let s = 92 - z. 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: Solve 144 + 141 = 57*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 455244.7um?\nAnswer: 45.52447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*j - 433 = 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 23*i = -4*v - 3, 5*v + 3*i = -24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -2\/11 (b) 1 (c) -58.8 (d) -3.8 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 1, k: 4, l: 2, e: 5, u: 2}. Give prob of sequence uel.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 - (-66)\/8. What is the smallest common multiple of -10 - 380\/(-28) - (-6)\/14 and 6\/4 + 388\/o?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3311304 divided by -1686.\nAnswer: 1964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 343 - 172. Suppose -o = -3*a + 2*s + 13, 50 = a + 5*s. Suppose -51 = -3*t + a. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 3*d, -4*p + 3*d = 0. Let k = -1 + p. Let j = k - 0. Is j equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-4) + 0 - (2 + 0). Put -5, 3, o in descending order.\nAnswer: 3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/(-64 + 61)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 334 - 323. Solve 6*o + 1 = -f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11816 and 304.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*w**5 + 109*w**2 + 7674*w**4 - 7662*w**4 + 4*w**5 wrt w.\nAnswer: -540*w**2 + 288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -11*a**7\/70 - 3*a**5\/20 - 12*a**2. What is the third derivative of v(o) wrt o?\nAnswer: -792*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8 = 0, 5*s + 8 - 61 = -3*z. Suppose -19*f = 3*f - 132. Let p be -7 + f - -164 - -5. Calculate the greatest common factor of z and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2 - 4*c**2 - 3*c + 4*c**2 + 3 + 4*c + 4*c**2. Let b(m) = -7*m**2 + 9*m - 2. Let n(a) = b(a) + 2*k(a). Let n(i) = 0. What is i?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13904 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: (148\/259)\/(12\/(-42)*1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(209)\/(-4*(sqrt(11) + sqrt(176))) + ((sqrt(19) + 3)*1 + 2 + 0 + sqrt(19))**2.\nAnswer: 203*sqrt(19)\/10 + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + -4)\/((-2)\/17). Let v = l - -34. Suppose -3*x - 5*b = -371, -3*x + b - 4*b + 375 = v. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13036\/5, 4, -5, 0.2, 8 in decreasing order.\nAnswer: 8, 4, 0.2, -5, -13036\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + t - 15. Let g be 9\/39 + (-10)\/(-520). Which is the nearest to t? (a) g (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**3 - 11*l**2 + 16*l - 8. Let k(s) = -3*s**3 - 7*s**2 + 10*s - 5. Let d(q) = 8*k(q) - 5*z(q). Suppose d(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (9 - (-22 - -35) - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -855151 by -3179.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 126 + 3 = -3*y, -4*l + 2*y - 126 = 0. Let v(f) = -14*f + 22. Let a be v(4). Are a and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -5, 2003, 3, 28 in ascending order.\nAnswer: -5, -2, 0, 3, 28, 2003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s. Suppose s*w + 3*w = 33. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -37*n - 137. Let i(b) = -112*b - 372. Let u(f) = 3*i(f) - 8*y(f). Let r(o) = 8*o + 4. Determine -11*r(s) - 2*u(s).\nAnswer: -8*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - 1) + -5 - 5. Let y be (q*2)\/(1\/(-4)) + -1. Calculate the greatest common divisor of y and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*a - 50*a - 314*a - 3 + 42*a as b*a + j and give b.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1866669 - 1866669 - 345*j + 346*j - 53*j**2.\nAnswer: -53*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-259*p**2 + 268 - 268).\nAnswer: 259*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-504)\/(-1085) + 60\/(-930) + (-159)\/(-90).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -368602185*f**2*q*t**2 - 708*f*q*t**2 + f*q*t - 1345*f - t**2 wrt f.\nAnswer: -737204370*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1104*t**2 - 291*t. Let v(i) = 138*i**2 + 36*i. Let d(x) = -4*p(x) - 33*v(x). What is the second derivative of d(a) wrt a?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19834 and 417569.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, u: 2, m: 3, t: 5}. What is prob of sequence urrr?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 23*s**6\/120 + s**5\/60 - s**3\/6 - 2*s**2 + 4*s. Let v(f) be the first derivative of d(f). Is v(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 428 - -106. What are the prime factors of j?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 r when three letters picked without replacement from {p: 2, b: 1, r: 5, z: 3, o: 1}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32113\/10 + 3212. Is -7 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13*s**3 - 3*s**2 - 3*s - 17. Let h(q) = 26*q**3 + 5*q**2 + 5*q + 32. Calculate -5*f(c) - 3*h(c).\nAnswer: -13*c**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46 and -1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -2*l - 120. What are the prime factors of ((-48)\/l)\/(2 - (-63)\/(-30))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 2, 4, 0 in descending order.\nAnswer: 53, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + -1 + sqrt(475) + 1 + sqrt(475) + 2)**2 + -1.\nAnswer: -1902 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*c - 706*c + 354*c + 7*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6888 is divided by 217?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -34*h + 39*h. Let f be h\/(4\/(-4) + 3). Suppose 4*m = 2*w + 6, 3 = m - 4*w + f. Solve 4 = -m*q - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 69.99942. What is n rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/9 + 100*u\/9 - 50 = 0. Calculate u.\nAnswer: 5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 145\nAnswer: -7\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2419 = -2*x + z, -4*z - 3616 = -3*x. Let l = x - 563. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -15*l + 605. Suppose p - l = -30. Which is greater: p or 19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446418.9 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 83*f - 7557. What is s(57)?\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -9, 54, 2 in decreasing order.\nAnswer: 54, 2, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.5 (b) 0.1 (c) 7 (d) 18.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179*-5*(-4)\/20.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21994*f**2 + 2065*f wrt f?\nAnswer: 43988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -46, -65, -84, -103?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -268 - -278. What is the highest common factor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-1) - (-2 - (-3 + 164)). Is 1081\/7 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = -21. Let y be (2 + h)*1\/1. Suppose -x = -y + 2. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 3:00 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + 0*s + 0 + 0 - s + s - s - 2*s + (-4*s + 0*s + 2*s)*(2 - 4 + 3) + 5*s + s - 4*s - 34*s + 55*s + 16*s)*(-s**2 + 37*s**2 - 2*s**3 + 7*s**2).\nAnswer: -70*s**4 + 1505*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*195\/9*888\/(-1850)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + -34 + (44 - 12) + -28.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*b + 370 = 100*b. Let l = -53 - b. Suppose -9 = -6*n + l. Solve 5*k - 5*d = 15, -n*k + d + 13 + 2 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*c + 13, -4*p - 4*c = -1 + 5. Let j be (-2 - p)*(3 + -2). Suppose j*f + 0*s - 235 = -s, 3*s = -3*f + 231. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u - u - 2*u. Let q be c(1). Suppose 4*f - 50 = -f. Solve -q*w = 2*k + 2*k, 2*w - k = -f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 9) + (-5)\/(-1). Suppose -h - 4*a = -21, -f*a = -h - a - 19. Solve 0 = -4*j - 3*b - h, -j - 4*j + 7 = b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5956 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10*9\/12*(5 + (3 - 10))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 2, -2\/169, 24\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 426 = -5*c. Let k = c - 138. Let t(r) = 4*r - 19. Let o be t(6). Sort k, -6, o, -1.\nAnswer: -6, -1, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l. Let b(h) = 15*h**2 + 6*h**2 - 21*h**2 - 4*h**3. Give b(o) + 6*k(o).\nAnswer: 2*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 21*x - 130 + 0 = 0 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 498\/(((-140)\/5)\/(-2)) - (2 - -3). Is p at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 106 in 1\/4, 0.3, -13721?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*w**3 + 4*w**4 + w**2 - 11 - 21*w**2 + 0*w**4 - 6*w**4 + 21*w**3 wrt w?\nAnswer: -48*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261650 is divided by 354?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 9:57 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -21. Let n = -5 + m. Does 26 divide (26\/(-4))\/((-1)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65a (base 12) to base 4\nAnswer: -32212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -619 plus 6865?\nAnswer: 6246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -426*l + 0*l**4 - 1 + 424*l - l**3 + 8*l**3 - l**4 in the form d*l**2 + c + g*l**4 + i*l + o*l**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40513 is divided by 1716?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 18369904*p\/3 + 6123302.\nAnswer: -2*(p - 1)*(p + 9184953)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18378169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 19*y = -4322 + 4254 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.2, 0, -45.27?\nAnswer: -45.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14263322 (base 7) to base 2.\nAnswer: -101000111111101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2. Let g(n) = -333351*n**2 + 20. Calculate g(z(q)).\nAnswer: -1333404*q**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, i: 2}. Give prob of sequence ii.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 861.9033ug to tonnes.\nAnswer: 0.0000000008619033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 34 - 6 - 28*w**2 + 15 - 3*w. Let b(d) = -168*d**2 - 17*d + 259. Let x(u) = 6*b(u) - 34*m(u). What is the derivative of x(a) wrt a?\nAnswer: -112*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + f**2 + 2*f)*(39*f - 306 + 306) - 39*f**3 + 13*f**3 + 13*f**3 to the form k*f**3 + g + j*f**2 + p*f and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.23 minus -261703.607043?\nAnswer: 261706.837043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t + 8 = 0. What is the closest to 2\/5 in t, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -800 by 20.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5161 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(102)\/sqrt(96) + (sqrt(119)*1)\/sqrt(7) + -4 + -1 + sqrt(2057))**2.\nAnswer: -343*sqrt(17)\/2 + 41601\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/3883344 and 137\/21358392.\nAnswer: 42716784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/6)\/(17\/153). Solve 4*j = -4*z + 40, n*j + 4*z = 7*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jejjeeeejrjjjjef?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 - 2*f + 3. List the prime factors of d(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -8)*(-1)\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3100669091 + -11.\nAnswer: 3100669080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4*v - 1576*k**3*v + 2*k**2 - 1020*v wrt k.\nAnswer: 48*k*v - 9456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, t: 2, k: 2}. What is prob of picking 2 t and 2 k?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 44061?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 153361 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 88866 divided by 3\nAnswer: 29622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 27*r - 1340. Let f be v(48). Put -2, f, -5 in descending order.\nAnswer: -2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/111*(-36)\/24*4.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 7*q - 7. Let p(r) = 3*r**2 + 8*r - 16. Let x be p(3). Suppose -15*d + x = -8*d. Determine n(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/18 - ((-25)\/15 - -1). Solve s + b = 7, -t*s + 16 = 2*s + b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 - g**4 - 96*g**2 + 3 - 104*g**2 + 190*g**2 + 2*g + 5*g**3 in the form x*g + v*g**2 + p*g**3 + b*g**4 + r and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*y + 5*n, -4*n = -4 - 4. Let s be (1 - y)*24\/10. Suppose 3*f - 24 = -f. Solve -f*v - s = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vddddvdddd. Give prob of picking 2 d.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*f + 5 = 0, 2*f - 17 = -3*k + 3*f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Suppose 4*u = 4*p + 44, -3*u - 3*p + 10 = g. Let t(s) = 8*s**2 + 2*s - 6. Calculate the least common multiple of t(-2) and u.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98*o**4 - 27*o + 46*o - 21*o - 6*o**4 + 0*o**4 + 4*o**4 - o**4 + 2*o - 2*o + (3*o - 4*o - o)*(0 + 0 + 2*o**3).\nAnswer: -105*o**4 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -776 - -388. Let w = p - -350. What is the closest to 2\/3 in -1\/4, -2\/7, -1, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + 18*o + 9. Let j(u) = 5*u**2 - 20*u - 14. Let g(r) = 3*j(r) + 4*m(r). Calculate g(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u - 2 - 7 + 2 - 8. Let z be t(1). Which is the nearest to -2? (a) -0.04 (b) z (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19138130?\nAnswer: 2, 5, 11, 19, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1836 and 324.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86675947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(15\/4))\/t**(-2\/9))\/(t*t*t*t**3*t**(-2\/3)) assuming t is positive.\nAnswer: t**(-13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40 + 33?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-11)\/((-66)\/36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - h**2 - 8 + 8 + (-4 - 2*h + 4)*(-5*h - h + 4*h).\nAnswer: 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmlmclmlrml. Give prob of sequence mm.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -232515\/22408 + 4\/2801. Calculate the common denominator of 32 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*b - 4*f - 49, -2 = 2*f. Let g(c) be the first derivative of b + 31\/3*c**3 + 0*c + 0*c**2. Let v(q) = -q**2. Calculate v(g(n)).\nAnswer: -961*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4, 5*q = q + w + 44. Suppose q = -n + 3*n. Suppose -4*g + 4*z + 1 = -3, -n*z = 5. Solve g = -3*x - 4 - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 545 = 4*q + 3*s, 0 = -4*q - s + 539. Let f = q - 89. Calculate the highest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/165 and -2\/165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2691 + 2747. Solve -w*o = -53*o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 15, 5, -9, -27?\n\"Answer: -2*s**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/((-16296)\/(-42777))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/11? (a) -0.1 (b) 11 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -66*b. Let i(k) = -23*k. Let q(u) = -8*i(u) + 3*w(u). Let n(h) = -9*h**2. Calculate n(q(v)).\nAnswer: -1764*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 6}. Give prob of sequence nnn.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-10)*1\/18*9?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 - (-116)\/340. Let s(q) = q**3 - 2*q - 1. Let p be s(-1). Let b be (0\/3)\/(p - 2). Is b at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + p**2. Let s = -9 + 39. Let w(m) = m**2 + 13 - s - 4*m**3 + 11 + 14. Let q(z) = k(z) - w(z). What is the first derivative of q(u) wrt u?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 1, h: 3}. What is prob of sequence hh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2649*a = -38953 - 183563 for a.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49286 - -51?\nAnswer: -49235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 442859.\nAnswer: 12\/442859","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23430 and 284.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 27*t. Let n(o) = -7*o. Let m(i) = -15*n(i) - 4*v(i). Let g(u) = -2*u. Determine m(g(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gudjgguguuddmguuuuuu. What is prob of sequence jum?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 3*k**4 - 2*k**2 + 12 + 5 to the form c + v*k**3 + o*k**4 + b*k**2 + n*k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 30 = 7*x. Calculate the greatest common factor of 20 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -87507495.\nAnswer: -2\/87507495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 24\/(1*-3 - 95\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*n = 5*c + 12, -9 = -5*c + 3*n. Suppose -2*y + z - 8 = c, -z = 3*y - 0*z + 12. What is the smallest common multiple of (0 + y)\/(-4) + 16 and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90963796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 54 + (-3759 - -3643)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -235894 + 235894 - 1479*k in the form w + q*k and give q.\nAnswer: -1479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.24 (b) -1\/8 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*s + 0 = 16, -5*q = -s - 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/1537?\nAnswer: -3\/1537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7987, 15975, 23963, 31951?\nAnswer: 39939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u + 4. Let i be ((-15)\/12)\/(u\/40). What is the highest common divisor of 10 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 6 = -2*y + o, 5*y + 2*o = 33. Suppose 3*h + 2 - y - 3 - 20*h**2 + 23*h**2 = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + v - 3*v - 2*v**3 - 8*v + 2 + 2*v**4 to the form l*v**3 + z*v**4 + q*v**2 + g*v + x and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*h - 12 = 0, 4 = -s + 5*h - 6*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 4 + 39*v + 13 + 16*v**2 + 21*v + 9*v**2.\nAnswer: 5*(v + 2)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41022, -164079, -369182, -656337, -1025550?\n\"Answer: -b**3 - 41017*b**2 + b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 7)*(-2*t + 4*t - t - 6*t) to y*t + j and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a - 21. Let r be z(-9). Let y be r\/(-12) + 12\/2. Let k = 44 - y. Calculate the highest common factor of k and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 62*k + 45. Let u be f(-20). Solve 4*x = 5*n - 13, u*n - 3*n - 4 = x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 2867.\nAnswer: -13\/2867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*a - 18, 3*a + 0*u = -3*u + 42. Let p(f) = f + 13. Let x be p(a). Suppose -c - 1 = -x. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 810*c**5 - 11*c**4 - 445*c**2 - 61464447*c?\nAnswer: 16200*c**3 - 132*c**2 - 890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 613 + -611. Solve -3*u = -k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124244 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(sqrt(240) + sqrt(240) + -1*sqrt(240) + sqrt(240) + sqrt(240) + sqrt(240)) + sqrt(240))\/(-5*sqrt(24)\/sqrt(2)) + 5.\nAnswer: 5 + 136*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 456673967072?\nAnswer: 456673967072.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a millisecond in microseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.52 rounded to zero decimal places?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -387 (c) -5 (d) -2 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.139683 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + h = 3, 0 = -5*g + 4*h - 7*h - 35. Let u be 285\/20 + 1\/g. Suppose 1 = 5*c - u. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 563409 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -11 - 9. Suppose z*n = 4*n + 8. Suppose i = -3*d - i + n, 4*d - 2*i - 6 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*m**3 + 4*m**3 - 20*m**3 + (-m**2 - 3*m + 3*m)*(-m + 2*m + m) - 2*m**2 + m**2 - 2*m**3 + 6*m**3)*(0*m - 3*m + 2*m).\nAnswer: 40*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 - 8*o**2\/9 + 2*o\/9 + 8\/9.\nAnswer: -2*(o - 1)*(o + 1)*(o + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 261335 (base 11) in base 9?\nAnswer: 686642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v + 1370*v = -366*v + 176*v + 174680 for v.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -174, 1, 30, 5, 4 in descending order.\nAnswer: 30, 14, 5, 4, 1, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 0*r**3 - 13*r**2 - 2*r**4 - 5*r**3 - 1 - 3*r**4 + 6*r**4 - r**3 in the form u*r**4 + p*r**3 + d*r**2 + w + x*r and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 848 and 701349.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k - 6. Let y be v(4). Let t be 2\/11 - (-172)\/y. Let n = 13 + t. Calculate the remainder when 61 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*s + 8 = 0, -1189*x + 1190*x + 6*s - 31 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, j: 17}. What is prob of sequence jp?\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*h**2 - 45*d**3*m + 26*d*h*m - 4*h**3*m + 72*h**2*m wrt h.\nAnswer: 2*d**3 - 24*h*m + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 347*j**2 - 2*j + 169*j**2 - 189*j**3 + 2*j - 358*j**2 wrt j?\nAnswer: -1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 741*q + 9 = 758*q, 0 = 4*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/120 + j**5\/15 + j**4\/6 + j**3\/2 - 2*j**2. Let s be m(-3). Calculate the remainder when 1 + 13 + 3 + s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k + 23. Is 17 a factor of j(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 5:54 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 10:52 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/(1\/(-6)). Find the second derivative of -2*h - k*h**2 + 3*h - 5*h + 0*h**2 wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 27. What is the remainder when 10 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 5*q**2 + 2*q - 27. Give r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = -i - 0*p, -2*i + 2 = -4*p. Let f(u) = 46*u**3 - u**2. Let z be f(i). Suppose -g + z = 4*j + 2*g, -2*j - 5*g = -33. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -721402*p**2*t**4 - p**2*t**2 + p**2*t + 147*p*t - 19*t**2 wrt t?\nAnswer: -17313648*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*h - 6 = -3, -4*h = -3*p + 10. Solve -12*g = -p*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 9*u - 21. Let k be q(-5). Suppose 0 = -3*o + 5*b + 3062, 3*o + k*b - 11*b - 3077 = 0. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*(-1 + -4 + sqrt(3) + sqrt(3)) + 5*(sqrt(3) + sqrt(75)*-6)))**2.\nAnswer: -11920*sqrt(3) + 266812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6970*o**4 + 129*o**2 + 30 wrt o?\nAnswer: 167280*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4065 - 4064. Which is the closest to 10\/7? (a) 0.2 (b) 1.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -19.50432\nAnswer: 20.00432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:11 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 5*o**2 + 3*o - 32. Let l be m(5). Let g = l + 19. Solve 2*a + 26 = -5*i, -g*i + 2*a - 5 = a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -88? (a) 2\/17 (b) -1\/4 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + 6. Suppose -k = -2*c + 14, 3*k + b = 5*c + 7. Let x = -15425 + 15443. What is the least common multiple of c and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783*j - 782*j + 1565*j - 15*j**3.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1057, -5, 15 in descending order.\nAnswer: 1057, 15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1241\/7 - 2) + 20\/(-70). Let x be (-600)\/q*(-14)\/4. Solve -16*i + 16 = -x*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2783, 2781, 2779, 2777, 2775?\n\"Answer: -2*r + 2785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 3054912*v - 777707277312.\nAnswer: -3*(v + 509152)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -157*f**3 + 957*f**2 - 5*f + 6. Let h be o(6). What is the highest common divisor of h and 28724?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1257*q**3 - 1248*q**3 + 6226*q**3 - 1252*q**3 - 1255*q**3 - 1212*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*s + 166 = 142 + 1894 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -107560594 divided by -3886?\nAnswer: 27679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717460603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/19 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 11*t**2 + 16*t + 12. Give j(-10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2)\/((-1)\/2). Suppose u = 2*u - n. Let s be ((-63)\/(-35) - 1)\/((-4)\/(-10)). Is s < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -254, -951, -2366, -4751?\nAnswer: -8358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by 5029?\nAnswer: 111\/5029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*v + 42. Suppose -3*h + i = -4759 + 22585, v = -i - 3. Let m = -3026 - h. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 29*r - 4. Let h(t) = 14*t - 2. What is -5*h(x) + 3*s(x)?\nAnswer: 17*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*z**6 + 9*z**2 - 2*z**6 + 24*z**5 - 16*z + 73*z**2 - 53*z**2 wrt z?\nAnswer: -240*z**3 + 1440*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 57 - 73. Solve -2*l + g*i = i + 5, 0 = -4*l + 3*i - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6002*u + 6008*u = -96 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8447 is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30968272 is divided by 82582.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*p = -74, -p = 5*j + 2*p - 150. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4706676802?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - ((-1)\/(-5))\/((-77)\/770).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2870 or 1\/3461?\nAnswer: 2870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43668 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 339 - 329. Let a(r) be the second derivative of -1\/50*r**5 + 0*r**4 + 0 - 2\/5*r**2 + 1\/5*r**3 - f*r. Determine b so that a(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Suppose 2*l + 4*t = 6*l, -l - 3*t + 12 = 0. Let i be ((-16)\/96)\/(-1*l). What is the third smallest value in -3, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**5\/20 + 5*r**4\/6 + 13*r**3\/6 - 8*r**2 + r. Let y be n(11). Suppose 0 = 4*j + 2*z + 2, 3 + y = 3*z. Is j at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - 0.33. Let i = o - -0.65. Which is the nearest to 2? (a) 5 (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 36838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -24, -1, 4 in descending order.\nAnswer: 7, 4, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 1\/6*f**4 + 0*f**3 - f + 0 - f**2. Factor y(g).\nAnswer: 2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 35 + 108 = 4*x, -4*x - 5*l + 103 = 0. What is the highest common factor of x and 2352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 640 - 575 = 0. Solve 3*a = 51 - m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96339795\/4 or 24084949?\nAnswer: 24084949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -540 - -860. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11)*2*-5 - sqrt(11))**2 - ((-1*sqrt(77))\/sqrt(7))**2.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -484, 59, -5, 10 in decreasing order.\nAnswer: 59, 10, -5, -484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306 - 284. Suppose 0 = -3*v - p + 5, 2*v + p - 5*p = o. Solve 4*y + 5*w = 29, -v*y + w + 8 = 2*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -389*b + 386*b + 36, 0 = 2*r - 4*b + 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + 36. Let v = h + -86.2. Let g(l) = -l**3 - 9*l**2 - 9*l - 12. Let t be g(-8). Sort 0.3, -3\/4, t, v in descending order.\nAnswer: 0.3, v, -3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**4\/2 + 8131*v**3\/2 + 2410395*v**2\/2 + 7125533*v\/2 - 4772030 = 0.\nAnswer: -7823, -305, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155\/(-140)*232\/(-3)?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/6 - 5*q**3\/6 - 2*q**2\/3 = 0. What is q?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 18. Suppose 20*r - l*r - 90 = 0. Is 5 a factor of (-6)\/(-36) + 663\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-20))\/((-16)\/(-8)). What is the second smallest value in 2\/93, -2\/13, n?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-8)*2*(-76 - 2124\/(-28)).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 511840\nAnswer: -153552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -154477*y. Let q(r) = 14*r. Calculate g(q(o)).\nAnswer: -2162678*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 7*s**2 + s - 2. Let d be u(7). Sort -3, d, -1 in decreasing order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 171\/(-13) - (-6)\/(-39). Suppose 1310 = -5*l + z*l. Let s = l + -152. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -39*l - 193. Let p be j(-6). Suppose p*o = 19*o + 110. What is the second biggest value in o, 0.07, -21?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1197, 2682, 4177, 5682, 7197, 8722, 10257?\n\"Answer: 5*s**2 + 1470*s - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkkmkklkctltakacm. Give prob of sequence cmt.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 8*r + 18. Let v(m) = -22 + r - 2*m + 3*m. Let p(f) = f**2 - f + 1. Calculate -2*p(k) - v(k).\nAnswer: -2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 i when three letters picked without replacement from {i: 1, b: 3, f: 1, y: 2, e: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 6*g. Let q = -20 + 13. Let l be i(q). Let j = l + 2. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 6*b - 10. Let s(q) = 1. Let x(i) = h(i) + 6*s(i). Let u = -50 - -55. Suppose -u*m - 25 = -5*n, 2*n - m - 20 = -4*m. Determine x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13385255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 19393460821.96?\nAnswer: -19393460825.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-1 + 0) + 45. Let q(u) = -2*u**3 + 15*u**2 - 8*u - 25. Let n be q(5). What is the greatest common factor of n and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20100201221000 (base 3) to base 9.\nAnswer: -6321830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02 and -222.\nAnswer: -221.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1)\/((x\/x**(-2))\/x))\/(x**(-2)*x*x**(-3)))**36)**1 assuming x is positive.\nAnswer: x**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 2*b - 7*b + 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18 in -3, 7868, -1\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -145946, -583736, -1313382, -2334884, -3648242?\n\"Answer: -145928*n**2 - 6*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*k - 99, -4*l - 3*k = -k + 120. Let w be 2\/(-6)*-6 - l. Is (-6)\/w - 404\/(-44) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ththhtthmmmhhm. What is prob of picking 3 h?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 - 12*n - 5. Let b(u) = u - 1. Calculate -5*b(q) + p(q).\nAnswer: -4*q**2 - 17*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203*l**2*t + 27*l*t - l - 115963*t with respect to l.\nAnswer: -406*l*t + 27*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u + 0*u**3 + 0*u**5 + 0 - 1\/60*u**6 - 1\/12*u**4 - 3*u**2. What is the second derivative of v(l) wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {o: 4, q: 15}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -7. Let q(z) = 2*z + 4. Let n be q(a). Suppose -52 = -4*x - n. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -227, -236, -251, -272, -299, -332, -371?\n\"Answer: -3*r**2 - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*v + 68\/3 - 2\/3*v**2.\nAnswer: -2*(v - 34)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 11. Let l be ((-12)\/(-10))\/(7*(-8)\/(-140)). Let w(b) = 3*b - 21. Calculate l*w(m) + 5*x(m).\nAnswer: -m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/42)\/(((-24016)\/(-63042))\/((-16)\/(-18)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*u = -2*m + 360*u + 8, -2*u + 4 = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 789414156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -5. Suppose 52*h = 47*h + 15. Suppose -4*t + 4*m = 6*m + 6, h*m = 2*t - 1. Sort -5, t, -4, q in decreasing order.\nAnswer: q, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618654?\nAnswer: 2, 3, 23, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 13*i**2 - 13*i + 14. Let v be z(12). Suppose -v*s - 5*g + 9 = -81, -4*g - 159 = -5*s. Is s at most 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:35 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 8*j + 2. Let i be w(3). Suppose z = i*s - 368868 - 211132, -5*z = 0. Round s to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10529 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.4878?\nAnswer: -0.19512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -241*p. Let t(h) = -310*h**2 - 553*h. Give v(t(x)).\nAnswer: 74710*x**2 + 133273*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 4*k - 4*b - 24, -5*k - 12 = -4*b. Let f(x) = 2*x**2 + 6*x + 1. Let n be f(k). Suppose -j + n = -0*j. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/27))**30 assuming d is positive.\nAnswer: d**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 11*j - 250. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154036534*u**3 + 599301757*u?\nAnswer: 924219204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/38 + 17\/76. Let f(b) be the first derivative of -2*b - i*b**4 + 4 + 0*b**2 + 0*b**3. What is the first derivative of f(v) wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2)*u**1)\/((u*u\/(u*(u\/(u*u*u**(-1)))\/u)*u)\/u**(-2\/5))*((u**3*u)\/u**(1\/5))**(-31) assuming u is positive.\nAnswer: u**(-606\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from ztozzzzzzzdptzzoztdz?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 + -108. Solve 2*u - 7 = -3*d, j = 2*d - 2*u + 3*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3363540 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + -15 + 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from rxrxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 0. Let o = 5 - p. Let j be (-1)\/(o + 3) + -3. Sort 3, j, 2 in decreasing order.\nAnswer: 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:53 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-6))\/t*t*t**(-5)*(t\/t**0)**(-30))\/(((t**(-2\/13)\/t)\/t)\/(t\/t**(-2)))**26 assuming t is positive.\nAnswer: t**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8905, -17809, -26713?\n\"Answer: -8904*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69668192 is divided by 323?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/29070 and -29\/3810.\nAnswer: 3691890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/4)\/((-1)\/4). Suppose -3*j - 9 = -3*s, -u = s + 4*j + j. Suppose -4*r + 0*r - 5*l + 16 = s, -3*l - 20 = -5*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -157367 and -157367 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5830329 millilitres?\nAnswer: 0.0005830329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 36*d - 16 = 0. Suppose 12 = 4*x - 2*c, -2*x + 3*c = -0*c - d. Suppose -i - 78 = -4*i. Solve -x*q = 5*m - i, -2*q - 5*m = -1 - 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**4 - 194*s + 1719*s - 5*s**4 + 1446*s - 660*s**3 wrt s?\nAnswer: -24*s**2 - 3960*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2. Let f(u) = u. Give f(d) - 5*q(d).\nAnswer: d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 4 + 8\/12*471.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(4\/13)*(o*o**(-4))\/o**(-1\/4) assuming o is positive.\nAnswer: o**(-159\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 27 + 15)*(2*k**5 + 0*k**3 + 0*k**3) + k - k - 2*k**5 + (1 - 1 - k**3)*(-4 + 4 + 2*k**2).\nAnswer: 84*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**4 - i**4 - 11*i**4)*(3 + 1 - 3) + (-2*i**2 + 4*i**2 + 0*i**2)*(-2*i**2 + 3 - 3) + 0*i**4 - 2*i**4 + 0*i**4.\nAnswer: -25*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31239311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-1995)*-21*-10.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqqqwqqqqqqq?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 98, 273, 532, 875?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - (-1 - -3)) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*x + 27, -x + 13 = -2*t + 16. Factor 0*k**2 + 0 + 1\/4*k**4 + 1\/4*k**t + 0*k.\nAnswer: k**3*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11776\/3 (b) -0.5 (c) 2 (d) 12 (e) 2\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18) - 6620\/(-18). Let d be 1*(-6 + 150\/24)*20. Suppose -b - n = -d*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -11*p - 10. Let f be c(-14). Suppose -4*x + 8*x = f. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/14)*w)\/w)\/w**(-7)*w\/(w**1*w)*w*w**(-4\/9)*w assuming w is positive.\nAnswer: w**(943\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Solve 3*p = -w + l, -w - 3 = -4*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -834, -992, -1232, -1560, -1982, -2504, -3132, -3872?\n\"Answer: -z**3 - 35*z**2 - 46*z - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/72 and -71\/968.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-115)*(-46)\/((-736)\/360)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3010.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24894240 and 48160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 11?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-3*2)\/(1*(19255\/(-6415) + 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3319*l + 10. Let y(t) = 969*t**2 - t - 1. Determine h(y(j)).\nAnswer: 3216111*j**2 - 3319*j - 3309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -18*j + 150. Suppose 5*w + 10 = f - j, -5 = f. Let m be 4 + 1\/(2\/w). Is m smaller than 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.1 + 8. Let l = 0.0994 + u. What is l rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from kkkxkkkxkxkxxkxx.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Let m be -1 + 0 + 3 + v. Is m >= 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150 or 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 115*i**2 - 1026*i + 838. Give d(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434531 - -4?\nAnswer: -1434527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szjjxsqm. What is prob of sequence sjjm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2949 is divided by 1031?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18832 is divided by 76?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -324\/7 + 46. Which is the biggest value? (a) -4 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11) + (6*sqrt(176))**2)*2.\nAnswer: -12672 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7213, -14545, -21917, -29347, -36853, -44453, -52165?\n\"Answer: -3*d**3 - 2*d**2 - 7305*d + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyw when three letters picked without replacement from qeswenyy?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b - 2*c + 321, 3*b - 204 = -5*c. Calculate the greatest common divisor of b and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 1. Suppose -u = -3*d + u - 5, -3 = -3*u. Let p be f(d). Let t(i) = 6*i - 1. What is the units digit of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 5. Suppose -j*i - 172 = -8*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13\/5, 3\/4, -0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 93*n + 286. Calculate t(-6).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 33*c = 0. Suppose c = -3*k - k + 1592. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-1 - 12) + 11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - i + 5 + 1 - 5. Let h(w) = 6*w + 6. Let a(j) = -15*j - 15. Let r(f) = -5*a(f) - 12*h(f). Determine 7*g(l) - 3*r(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.28*-0.18\nAnswer: -0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3))**(-49)\/(b**(-1\/2)*((b*b**4*b*b)\/b)\/b)*(b**0*b*b\/b**(-4\/7)*b)\/(b**(-3)*b**(3\/7)) assuming b is positive.\nAnswer: b**(-1303\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44578 or -445787\/10?\nAnswer: -445787\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -273 - -273.09. Let f = 0.1 - 0.1. What is the third biggest value in -0.4, f, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3734768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 - -182. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-2 + (-10 - -6) - -7) + 31)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/13 or 13.367?\nAnswer: 13.367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 1:56 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/2)\/(7\/(-14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2780682 is divided by 305?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 209 + -207. Solve 3*s + 8 + 2 = -p, -a*p + s + 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d**2 + 80*d - 5. Let a(i) = -72*i**2 + 440*i - 28. Let r(x) = 5*a(x) - 28*f(x). Factor r(u).\nAnswer: 4*u*(u - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 16*q**2 + 38*q - 24.\nAnswer: 2*(q - 4)*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2826*n + 85972 - 81216 = -190238 for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 239. Let c = -68 - m. Suppose c = 5*y - 17. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let h be m(4). Suppose -4 = -4*l, h*i - 158 = l - 4*l. What is the remainder when i is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -26*g - 2. Let z be o(6). Let b be z\/(-2) - (-4 - -2). Suppose 2*r = -b - 79. Round r to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1232 and 13\/658.\nAnswer: 57904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrbfm. Give prob of sequence mrb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**2 - 746*i - 16979. Determine u(-28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2 + 83*n + 3 - 37 + 37. Let r(g) = 15*g**2. Determine y(r(f)).\nAnswer: 1245*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0*1\/(-5) - -221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5776\/1649 - (3 + 5 + -4). Let x = z + 14\/97. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*t + 5*t + 17, t - 5 = 4*o. Let h(c) = c + 2. Give h(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) 0 (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17313*w**2 + 34537*w**2 - 17226*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356075*w**3 - 330965*w wrt w.\nAnswer: 2136450*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2429 + 2492. Suppose 3*o + 0*b - 3*b = 66, -2*b + 22 = o. Calculate the remainder when u is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228275941*s**2 - 81670909*s wrt s.\nAnswer: 456551882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:48 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16671199 is divided by 193850.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**3\/l)*l\/(l**(3\/4)*l)*l**(-1)\/l*l\/l**(1\/4)*l)\/(l\/(l\/(l\/(l**(-6)\/l)*l))*l*l**(2\/17)*l)**(-15) assuming l is positive.\nAnswer: l**(2801\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28368\/23 - 1232. Find the common denominator of -43\/6 and i.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29941, 59905, 89869, 119833?\nAnswer: 149797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -368*k**2 - 755*k + 52827. Give l(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111194 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48a96d (base 15) in base 3?\nAnswer: 20112201102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2 + (0 + 4 - 1)*(-1 - 4 + 3) - 9 + 3 - 1)*(15*a - 7*a + 1 - 15*a).\nAnswer: 84*a - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 2:44 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2425.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 387*x - 19 + 2*x**2 - 367*x + 0*x**2. What is o(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.972 + -0.028. Let l = -24 - m. Let r = 370 - 6292\/17. Which is the closest to 5? (a) l (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1044576 and 27.\nAnswer: 1044576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-4 + 4)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -12 + (5 - 12 - -44)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**5\/20 - 5*i**4\/12 + i**3\/3 - 7*i**2\/2 + i. Let x be n(6). Is 2 - (-3 + 2)*x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -970, -0.5, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Let d = i + -4. Let j = 0.55 - 0.05. What is the third smallest value in 0.1, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h**2 - 22*h**2 - 6 - 6*h + 11*h**2. Let q = -7 - -7. Suppose 18 = -3*t - q*t. Determine n(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -7\/2, -1.66?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5555, 5494, 5335, 5030, 4531, 3790, 2759?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 11*b = -70. Suppose -6*z = -b*z + 756. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3820240 less than or equal to -3820241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (65 + -75 - (2 - -1 - 5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2783860.6 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = d + 3*a - 8*a, 3*a = 4*d - 420. Let p = -3804 - -3817. What is the remainder when d is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60099 and 52.\nAnswer: 240396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*(v\/(((v\/(v*v**(2\/3)))\/v)\/v))\/v)*v\/(v\/v**(-4\/5)))**(-5\/11)*((v**3)**11)**(2\/27) assuming v is positive.\nAnswer: v**(353\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**6 + 50*t**5 + 1376*t**2 wrt t.\nAnswer: 120*t**3 + 3000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jee when three letters picked without replacement from egjoegggqzgej.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -4, 13, -2, -6 in descending order.\nAnswer: 13, 3, -2, -4, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38778 months in years?\nAnswer: 0.032315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2506 + 4282?\nAnswer: 6788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 - 218. Let j = g - -396. Which is the nearest to 1? (a) -0.4 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4 + 3 = 3*r, -4*w = -r. Suppose z + 3*z - 72 = 0. Let g = z - 15. What is the remainder when r is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**6 + 74800*s**3 + 995027*s**2 - 10 wrt s.\nAnswer: 120*s**3 + 448800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32069*u**3*v**2 + 95*u**3*v + 2*u**3 - u**2*v - 32*v wrt v.\nAnswer: -64138*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(210\/(-63)) + (-510)\/50 + (-12)\/(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1111*w - 1112*w + 3335*w - 1115*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 365111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 times 299\nAnswer: 83.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - b**2 + 25*b + 4. Calculate f(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 4) to base 7\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23763 + -23751. What is the least common multiple of i and 57?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 7*s**2 + 6*s + 2. Let t be k(-6). Let h(x) = 65*x - 1. Let b be h(t). Suppose 0*i - 3*i = b. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o + 13. Suppose 37*h - 34*h - 12 = 0. Suppose 0 = -2*k - 2*x + 2 + 12, 0 = -h*k - 3*x + 25. Give w(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -464552?\nAnswer: -464544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + (sqrt(30) + sqrt(270)\/sqrt(9))*4)\/sqrt(3))\/((sqrt(8) - (sqrt(8) - (sqrt(88) - (sqrt(88) - 1*sqrt(88)))\/sqrt(11)))\/sqrt(4))*-5.\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -70417*c + 2042089. What is m(29)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-3))**35)**(-35) assuming w is positive.\nAnswer: w**2450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 648*p**2 + 14*p - 22. Let z be n(8). Suppose 17*r = -r + z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 0*z + 3*z + (-1 + 3 - 1)*(-3*z + 0*z + 4*z) - 8*z + 10*z + 38*z as m + u*z and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 0*w**3 - 88112579 + 88112579.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -19\/9, -2.7, 0.161?\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -3 - -2) + 9 - 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131500.0122099 + 131500. Round d to four decimal places.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.078, 6, 10 in increasing order.\nAnswer: -0.078, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.0638?\nAnswer: -0.02552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3722*c**4 - 625*c**3 + 2589*c + 146 wrt c?\nAnswer: -44664*c**2 - 3750*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -18.09. Let l = v - -0.01. Which is the third biggest value? (a) l (b) -2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 96991601 - 96991601.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**4 - v**3 - v**2. Let n(c) = -66*c**4 + 4*c**3 + 4*c**2 + 243. Let j(f) = n(f) + 4*w(f). Differentiate j(h) wrt h.\nAnswer: -280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/204 and 113\/18882?\nAnswer: 641988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -237\/4. Let x = -100 + 102. Which is the nearest to u? (a) x (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-210)\/(-126))\/((-10)\/(-6)). Let k(o) = -o. Let g(y) = 9*y + 2. Calculate x*g(f) - 4*k(f).\nAnswer: 13*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 8. Suppose -2 - 2 = -k. Let l be y(k). Suppose -l*g + 24 = -112. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**5 - 2*g**4 - 2. Let j(k) = -5*k**5 - k**4 + k**3 - 3. Let t(n) = -4*j(n) + 6*l(n). Solve t(a) = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 - 136. What is the highest common divisor of b and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(2 - 3)*3. Let j be -5*((-52)\/(-20) + -3) + q. Suppose 7 = -l - j*w, -4*l + l - w = -7. What is the smallest common multiple of 4 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -169*v**4\/3 - 715*v**3\/12 - v**2\/4 + 10*v\/3 + 1\/3 = 0.\nAnswer: -1, -2\/13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5*(-245)\/(-147))\/(610\/(-1647))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oojoovjoexj. Give prob of sequence jveo.\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + -3 - (-5 + 8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/4 + 53\/28. Which is the closest to -1\/2? (a) -3\/5 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**3\/21 - 1101*z**2\/7 - 1212201*z\/7 - 4636. What is i in d(i) = 0?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 885763923\/2510 - 352894. Calculate the common denominator of 37\/48 and h.\nAnswer: 60240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g + 2*g)*(g**2 + 56 - 189 + 324) + 6*g**3 + 0*g**3 + 0*g**3.\nAnswer: 7*g**3 + 191*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2183.753 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 5*i - 4*i)*(4*i**2 - i**2 - 2*i**2) + 5*i**3 + 4*i**3 - 3*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 - w + 1. Let u(b) = -18*b**2 - 5*b - 40. Calculate -5*d(v) + u(v).\nAnswer: 2*v**2 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + 0.8. Let u = -0.6 + o. Which is the second biggest value? (a) -0.5 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2, -2\/15, -0.07, -2, -878, -1\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2870.61 and 2.\nAnswer: -2868.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 3:41 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -218 + (36\/28 - 10\/35). Let u = t + 1518\/7. What is the common denominator of u and 7\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:48 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 - 2 + 2)*(-743 + 232 + 251 + 231)*(7 + 4 - 9) in the form v*q**2 + m + g*q and give v.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195195629 to the nearest integer?\nAnswer: 13971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 3*c - c)*((-5 + 0 + 3)*(c + 4*c - 3*c) + 3 - 2*c - 3 + (-29 - 24 - 6)*(-2*c - 3*c + 6*c)) to v + n*c**2 + u*c and give n.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1668, 3678, 6158, 9120, 12576?\nAnswer: 16538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 72*t**3 - t**2 - 19*t + 98. Let y be u(4). Round y to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 790 - 417. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7958729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-9 + (5 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112039.32 seconds in minutes?\nAnswer: 1867.322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 11:49 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - sqrt(468)*2)\/(sqrt(396)\/sqrt(11)))**2.\nAnswer: 325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 18*t**5\/5 + 2*t**3\/3 - 3. Find the third derivative of v(a) wrt a.\nAnswer: 432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*r - 13 - 34 + 8, 54679*v = 54689*v - 3*r + 39 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmmd when four letters picked without replacement from {m: 5, d: 13}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 + 18 = 0, -15 = -4*h + l. Let x(m) = 13*m**2 - 7*m + 15. List the prime factors of x(h).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2 (c) 0.767\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 357740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**2 - 15*q - 31. Let v be r(4). Let g be v*(-2)\/(-10)*5. Solve 4*m + m + 19 = 2*b, g*b = 2*m + 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + f)*(3*f - 3*f + f)*(7*f**2 + 2*f**2 - 2*f**2).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a2 (base 13) in base 9?\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 7, 0.3, -6 in descending order.\nAnswer: 7, 5, 0.3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -2 + -6 + (-510)\/(-2). Suppose 126 = s - 5*m, 2*s - 2*m = 3*m + z. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 1)*((-4*o - 2*o + 4*o)*(-2*o - 3*o + 4*o) + 1822*o**2 - 3006*o**2 + 2208*o**2) to x + q*o + w*o**2 and give w.\nAnswer: -2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/1016 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Let r be (-65)\/(-10) - (-2)\/p. What is the units digit of (-2)\/r - (-58)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3040, -24407, -82460, -195565, -382088?\nAnswer: -660395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(152)*6)\/(sqrt(64)\/(sqrt(8)*2) - -6*sqrt(32)).\nAnswer: -24*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 769, 1727, 3057, 4753, 6809?\nAnswer: 9219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7631884 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346917 is divided by 115529?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 4*m**2 - 3*m + 3. Let i(w) = 2*w**3 - 5*w**2 - 3*w + 3. Let q be 3*((0 - (-10)\/3) + -4). Let x(s) = q*i(s) + 3*d(s). What is x(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19976 is divided by 384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrcrrrrrrrr.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(275))**2.\nAnswer: 30*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 13666002?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137 + -132 + (-1 - 0) + 1 - -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 11*x - 2 + 3 + 4 as b + g*x and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izgbgfigbeb. What is prob of sequence igbi?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -165*o - 15. Let m be g(9). Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -6. List the prime factors of (p\/(-5))\/(4\/130).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - f + 10 + 31, 0 = 5*n + f + 49. Let i = n + 23. Solve 2*q = 5*z + 20, z = -q - 2*q + i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 - -1.9. Sort i, -0.5, 0.4.\nAnswer: -0.5, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14906*y**3 - 68016*y**2 - y - 2 wrt y?\nAnswer: 89436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 198744.\nAnswer: 11\/99372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (sqrt(720) + sqrt(720) + 0 + sqrt(720)))*6*-3 - 3*1*(-1 + sqrt(720)))**2.\nAnswer: 2376*sqrt(5) + 784089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-18)*-5*(6 + 0). Let r(j) = -2*j - 21. What is r(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Suppose 0 = -17*b + 29*b + 12. Let i(o) = 4*o - 7. Determine b*i(q) - 2*r(q).\nAnswer: -2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from srsssssrrss.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9660718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 73, 66, 41, -8, -87?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/4 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 21. Suppose -6*k = -9*k - 12*k. Solve -d - 5 = k, -14 = 4*o - f*o + 2*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 257465 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.04, 0.01, -3, 5\/2, 0.3 in descending order.\nAnswer: 8, 5\/2, 0.3, 0.01, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/8)\/((-3)\/30). Find r such that -2*r**4 + 0 - 3*r**2 + z*r**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -381 and -0.4?\nAnswer: 380.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -12 (b) 2\/15 (c) -0.5 (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*h + 6, 14*h - 10*h = -5*u - 8. Solve 3*t + 2*t - 5*k - 5 = u, 4*t + 23 = -5*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43651827 by -14550609.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 575623.7 millilitres?\nAnswer: 575.6237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56880272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 + 6*x**3 + 0*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:31 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p - 15. Let h be (-1)\/4 + 25\/4. Let s(z) = 4*z + 7. Give h*g(d) + 13*s(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 - 739*q + 650*q**2 - 26*q**3 + 26*q**3 + 210*q**2 + 741*q as n*q**4 + l*q**2 + b + x*q**3 + v*q and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -68618 * 0.4\nAnswer: -27447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2764*d - 43 = -5*p + 2756*d, 0 = -4*p - 2*d + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**6\/30 - 17*c**3\/6 + 9*c. Find the second derivative of f(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8037 and -7\/684.\nAnswer: 32148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200156837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v - 4. Let s(g) = 8 - 1 - 7*g - 4. Let r(w) = -2*w - 28. Let a be r(-15). Let j be 1\/a*(1 - 11)\/1. What is j*s(d) - 4*y(d)?\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 786 - 366. Calculate the greatest common divisor of x and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-10911228\nAnswer: -21822456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -601, -685, -765, -841, -913, -981?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 7. Let a(v) be the third derivative of 1\/24*v**4 - 1\/2*v**3 + 0 - 3*v**2 + 0*v. Give 7*a(q) + 3*u(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**3\/3 + y. Let h(f) be the second derivative of 5*f**4\/12 - 37*f. What is h(j(q))?\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 42, 94, 166, 258, 370, 502?\n\"Answer: 10*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 190\/28 + (-612)\/(-2856). Solve 2*q - t + 5 = -4*b, 0 = b + 2*q + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 850*s + 30 = 848*s, 3*n - 40 = 5*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 15174.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, i: 9}. Give prob of sequence is.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d58ba844 + 1?\nAnswer: d58ba845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 6:55 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a + 5*l, -2*l - 2 = -3*a - 4*l. Let h = a - -27. Suppose 0 = -4*i + 49 + 7. What is the remainder when h is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(-3*o**3 + 7*o**3 + 3*o**3) - 3*o**3 + 3*o**2 - 3*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -67*h - 1661. Give x(-25).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*v - 33, 5*z + 1 + 4 = 0. Suppose -b - 3*b + v = 0. Let c(a) = -a**2 - 41*a - 224. What is the remainder when c(-7) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgssgqggggqsrrqf. Give prob of picking 2 g, 1 r, and 1 f.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176986 is divided by 35389.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at least as big as 1091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11606 - 11606.5. Let r be 4\/(-99) - 4\/22. What is the closest to m in -2, -5\/3, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 48.09645ms?\nAnswer: 0.0008016075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-14)*(-336)\/(-24)*((-6)\/(-6))\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3\/7 - 16*l**2\/7 - 66*l\/7 - 20\/7.\nAnswer: 2*(l - 5)*(l + 2)*(3*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179 + 170.9. Let x = -8.03 - -0.03. Let b = d - x. What is the nearest to 1 in 2, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4836 by -13.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*t + 5*f, 2*f = -3*t - 5 + 20. Suppose -2*k - 3475 = -t*v, 2*v = -4*k + 6*k + 2318. List the prime factors of v.\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -50, -33, 0, 55?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/5)*j*j*j**(1\/3)*((j**(6\/5)\/j)\/j)\/j*j**(-1\/4)\/j*j assuming j is positive.\nAnswer: j**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43338029?\nAnswer: 7, 6191147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3158*o + 6445*o - 3203*o + 168 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Express 14876 + 240*w - 14876 as l + k*w and give k.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35, 15, -19, -67, -129, -205?\n\"Answer: -7*y**2 + y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(252) + sqrt(252) + 3)**2 + sqrt(252) + (-4 + sqrt(252)*1)**2 + 3.\nAnswer: 54*sqrt(7) + 1295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 7. Solve -v*t + 4*u - 31 = 0, 3*t + 8*u = 3*u + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**2. Let j(n) = -53*n**2. What is f(j(g))?\nAnswer: -14045*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 33*i = -4. Let t be -2 + (-11 - (i + 8)). Let l = t - -61. Calculate the highest common divisor of l and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f**2 + 2*f**3)*((-f + f - 2*f)*(-5 + 1 + 3) + 2*f - 2*f - 18*f).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 253\/5? (a) 2 (b) 1.033 (c) -2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**5\/120 - a**4\/24 + 15*a**3 + 67*a. Let f(c) be the second derivative of i(c). Determine f(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4029400, -4029399, -4029398, -4029397, -4029396?\nAnswer: -4029395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213526602 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 4\/7 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 1. Let v be (-4)\/(-6)*30\/(-4). Let s be g(v). Solve 5*t = 2*k + 4 + s, k = t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 450862 or -2028?\nAnswer: -2028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, -22851, -2.\nAnswer: -22851, -5, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7830 + -782.\nAnswer: -8612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f - 5. Let u(y) = -5*y + 4. Let p(b) = 6*d(b) + 7*u(b). What is the units digit of p(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 4:51 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2404 + 2*m - 1549 + 1476)*((0*m**2 + 3*m**2 - 5*m**2)*(2*m + 0*m + 0*m) + m**3 - 3 + 3 - 2*m**3 + 3*m**2 - 3*m**2).\nAnswer: -10*m**4 - 11655*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37093, -74194, -111319, -148468, -185641, -222838, -260059?\n\"Answer: -12*i**2 - 37065*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7186.\nAnswer: 2, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34225575 and 3050.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - a. Let t be r(4). Let g = 8 - t. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 1661*f**2 + 3*f + 3. Let v(x) = -x**3 + 1657*x**2 + 2*x + 2. What is -3*v(g) + 2*z(g)?\nAnswer: g**3 - 1649*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, x: 3}. What is prob of picking 2 w and 1 x?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u - 65 = 0. Let n be u\/3 + (-2)\/(-3). What is the second derivative of -3*l + 4*l - 3*l**n + 2*l**5 wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6) + sqrt(24))\/sqrt(2)*6 + (sqrt(108)\/sqrt(4))\/sqrt(9) + sqrt(24)\/(sqrt(24)\/sqrt(3)))*-3)**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.38 - -0.68. Let x = -13 - b. Let t = -68 + 63. Sort t, 0.4, x.\nAnswer: t, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -47*y - 4. Let h(r) = -37*r - 3. Let z(t) = -4*h(t) + 3*q(t). Let c(v) = -82*v**2. Determine c(z(s)).\nAnswer: -4018*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 860439548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.543 - -0.043. Put s, 2\/65, 0.4, 5 in increasing order.\nAnswer: s, 2\/65, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - f + 17 = 0, 5*k + 4*f - 14 = 2*f. Suppose -2*s = -o - 118, 40 = -5*s + o + 329. Let l = s + -53. Solve 0 = k*u + m + 7, -u = u + l*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(3) + ((-4*sqrt(3)*-3)**2 - sqrt(3)).\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0043 - -105.4957. Let r = l - 18.5. Let x = -76.7 + r. Round x to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6575146578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105654132 a multiple of 2978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8*5*(-1)\/2 and 53\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404 by -4.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (36\/(-10))\/((-20)\/50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*u - 11*u**2 - 209*u + 8*u**2 + 124*u.\nAnswer: -3*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/252 and -31\/7.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25051818.\nAnswer: 2, 3, 11, 379573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/4854 and 66\/877765.\nAnswer: 5266590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -109859416 divided by -2?\nAnswer: 54929708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p. Let i(b) be the second derivative of -1 - 2*b + 43\/2*b**2 + 1\/3*b**3. Give i(m(t)).\nAnswer: 2*t + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177436151 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, m: 2, z: 1, e: 5, o: 1, t: 3}. Give prob of sequence zmmv.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*w + 2 + 24, -8 = -3*n + 5*w for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 22*v**2 + 7 - 10*v**2 + 31*v**2.\nAnswer: -v**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2164*z**2 + 7 + 1072*z**2 + 1097*z**2 to o*z**2 + v*z + f and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -1443?\nAnswer: -143b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c = 0. Suppose c*j + j - 7 = 0. Suppose -6 = -2*v - 4. Solve 2*g - j + v = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 20 = 5*q, 2*v - 16 = 7*q - 3*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/2)\/((-4)\/(-4)). Let u be 1 + 18 + -34 + 41. Let q = u + m. What is the highest common factor of q and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3607995, 3607992, 3607989, 3607986, 3607983, 3607980?\n\"Answer: -3*l + 3607998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1935 + -6*(-119)\/42. What is the greatest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**3\/3 + c**2\/2 + 1. Suppose 18*p = 41 + 31. Suppose 0 = -t + 3*t + p. Give h(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 277943 or 277941?\nAnswer: 277943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135144 is divided by 85.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - (-26 + (42 - 53))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7056 and 936?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21018 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 83*o**2 + 72*o - 996. Calculate m(-84).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1710\/83790 - (-794)\/(-490)) + (316\/260 - 1)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.8286328 to one decimal place.\nAnswer: 122.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -5*f**4\/12 - 65*f**3\/6 - 105*f**2 + 258*f + 2. Factor i(z).\nAnswer: -5*(z + 6)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q**2*z - 5275*q**2 - 427*q*z**4 - 5*z wrt z.\nAnswer: -q**2 - 1708*q*z**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*n**5*t**3 - 56*n**5 + 2*n*t**3 - 1244*n*t + t wrt n.\nAnswer: 960*n**3*t**3 - 1120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5*5\/(-50)*-4\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70074.77 litres to millilitres.\nAnswer: 70074770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**5\/7 - 2*a**4 + 18*a**3\/7 - 10*a**2\/7 + 2*a\/7 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8672185.\nAnswer: 5, 113, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**4*t + 130*g**3*t + 28*g**2*t + 5*g*t wrt g.\nAnswer: 120*g*t + 780*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 1 + 1)*(3 + 8 - 4) - 2*v + 4*v + 2*v**2 - 3*v**2.\nAnswer: -15*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let u(l) = -6*l - 24. Let k(z) = 5*a(z) + u(z). Let r be k(-23). Suppose -4*n = b - 1, 5*b - 5*n - 2 = -22. Sort r, 0, 1, b in increasing order.\nAnswer: b, r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7444719*y**3 - 18*y**2 - 2170*y + 14.\nAnswer: -44668314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57.6 and -10.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/44*6802728\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**4 + 5*f**2 + 1 - 5*f**4 - 8*f**2 - f - 2 to r*f**2 + y*f**3 + m + l*f**4 + b*f and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose 0 = 3*g - g - c. Suppose 5 = 3*l - 4*o, -g*l + 4*o = o - 5. Is l >= -7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -100\/3 (b) 0.5 (c) -2 (d) -31 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 3) + (9 - 0). Suppose 2*h + o = -6*g + 2*g, 0 = -4*g - 5*h + 9. Let l(a) = a**2 + 4*a. Determine l(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**4 - 117*h**3 - 39*h**2 + 1485*h + 1404 = 0.\nAnswer: -3, -1, 4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3620733 to two dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3059 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.2 (b) 0.08 (c) -2\/117 (d) 0.05 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25188, 24436, 23746, 23148, 22672, 22348?\n\"Answer: 5*a**3 + a**2 - 790*a + 25972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 5*u**2 + 6*u - 8. Let a(y) = -2*y**3 - y + 6. Let t be a(0). Calculate p(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/2)\/(1\/(2\/(-4))). What is the nearest to 0 in 0.2, w, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5443025683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/173, 5, -2\/23, -2\/7.\nAnswer: -2\/7, -2\/23, 2\/173, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*t, 6*t = t - 5*q. Let j(c) = c**3 - c**2 - c + 3. Let h be j(t). Solve h*k + 4*a - a = 12, 5*a = -4*k + 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.771 to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 118 = -5*r. Suppose 15*u = -1205 - 70. Let s = r - u. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/18*18\/2. Let i = p + 8. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/2282493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -225*z + 1143. Let w be j(5). Solve -81 = -w*p + 45*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*p + 18 + 55*p - 21)*(2*p**3 + 424*p**2 - 424*p**2).\nAnswer: 6*p**4 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -303974939518 and 1.\nAnswer: -303974939517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 0.048.\nAnswer: -0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -14. Suppose -3 = -3*s, -2*j - 4*s = j - 25. Solve k*h - j*h = -20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*c + 2 - 5*c + 22*c to the form f + q*c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 2*r**2 + 0*r + (-2 - r + 2)*(0*r + 2*r + 0*r) + 4*r**2 - 13*r**2 + 41*r**2 to a*r + v + w*r**2 and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.41 + 17.41. Which is the closest to -1? (a) 0.1 (b) 0.4 (c) u (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 c when four letters picked without replacement from {l: 4, k: 3, c: 5, w: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -394989?\nAnswer: 394986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 20 = 3*g. Let q(w) = w**3 - w**2 - 10*w + 1. Let t be q(4). Suppose 4*v - t = g*n, 0 = 5*v - 2*v + 5*n + 2. Which is greater: v or 3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = 9*g. What is the fourth smallest value in -1\/2, 194, 1\/3, g?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/52)\/((-60)\/(-390))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -94, -45 in descending order.\nAnswer: 3, -45, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 738 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/30 - 2*y**3\/3 + 12*y. Let x(k) be the second derivative of r(k). Let h(d) = -8*d**2. Give h(x(t)).\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*w - w - 2*j, -4*j = -4*w + 4. Let q be (-2)\/(-8) + 1\/(-4). Solve b - 2 - w = q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -3*l**4\/8 - 25*l**3\/6 - 10*l**2. Let k be o(-13). Suppose 2*n - 64 = 3*c + c, -3*n = -4*c - k. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 20 = p. Let c = p - 17. Solve 3*t - 15 = -c*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 60*k - 750. Determine y(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**3 + 17604*t**2 + 1518176*t = 0?\nAnswer: -4313, -88, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1 + 1\/2). Let l(g) be the first derivative of v*g**2 + 1 + 0*g**3 + 0*g**4 + 1\/5*g**5 - 2*g. What is the first derivative of l(m) wrt m?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4294 = 97*x - 802 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10572 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + z - 2*z)*(-4*z - 2*z + 4*z)*(0*z**2 + 3667*z - 5*z**2 - 3606*z).\nAnswer: 20*z**4 - 244*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 9*u - 8. Factor -60 - u*k**2 - 18*k + 60.\nAnswer: -2*k*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*y + 6 = 0, 3*x = -22*y + 19*y - 9. Let k be (-88)\/(-84)*6 + x. What is the closest to -0.2 in 1, 9, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.38 + 3672921663.\nAnswer: 3672921664.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 123, 103, 65, 3, -89, -217, -387?\n\"Answer: -o**3 - 3*o**2 - 4*o + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32142 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*(-21 - 1). Suppose 4*d - 4 = -2*w, -3*w + 0*d + 2*d = 2. Suppose 5*i - 45 = -0*i. Solve w = 4*q + u + i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 27 = 99. Calculate the remainder when 33 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18486)\/(-1404) + 2\/(-12)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1024 and 55840.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26867154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 + 8*r)*(3*r**2 + r**2 - 5*r**2)*(2 + 0 - 3).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76.31 - -76. Let q = -752970 - -752970.310011. Let i = q + n. Round i to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 + -11010111001111101010?\nAnswer: -11010111001111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 35 + 124*x - 37)*(5*x**2 + 44*x - 44*x).\nAnswer: 620*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -11. Solve 0 = -3*z - m*z - 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 10.8\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1175, -1177, -1181, -1187, -1195, -1205?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-3875)\/(-4))\/5)\/((-6)\/(-48)). Suppose l = 5*l - 2*n - m, 0 = -l + n + 386. List the prime factors of l.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216.699 - -218.95881. What is j rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.7 + 0.7. Let b be ((-6)\/21)\/(16\/14 - 2). What is the closest to b in y, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -48*c**2 - 6*c + 12. Let n be l(-6). Let v be n\/(-76) - (-4)\/(-38). What is the greatest common factor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -738 = 3*q - o, -3*q + 984 = -7*q + 5*o. Let v = -247 - q. Sort -0.4, -8, v in descending order.\nAnswer: -0.4, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14\/3, 28, 2\/7, -3 in increasing order.\nAnswer: -3, -1, 2\/7, 14\/3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buw when three letters picked without replacement from bzuawawb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/8 + -4 + 2. Let y = -7.132 - -0.032. Let n = y - -7. What is the third smallest value in n, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 8*u**2 - 8*u + 3. Let k = 1393 - 1388. What is the remainder when b(5) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/7 - 5108*m**2 - 164767810*m\/7 - 43955934712\/7 = 0.\nAnswer: -8797, -284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1, -662, 1\/7, -2\/5, 1\/5, 396?\nAnswer: -662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 4716.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404714393 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12164 less than 55?\nAnswer: -12109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 4, -5483 in decreasing order.\nAnswer: 4, 1, -1, -5483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 11*c - 80. Let w be u(-16). Suppose w = -16*y + 26 - 138. What is the nearest to y in 0, 0.3, -2\/5, -1\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 4, b: 2, i: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 98631854.52024?\nAnswer: -98631858.52024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/253 - -245\/1012. Which is the second biggest value? (a) 0 (b) o (c) -1\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5 - ((-6352)\/720 + 8). Which is the closest to 1? (a) k (b) -8 (c) -0.3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068777 less than -4?\nAnswer: -4.068777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15041320*c**3 + 2977246*c**2 - 3*c wrt c.\nAnswer: 90247920","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/3 + 454*j**2 - 3604*j - 27080\/3 = 0 for j.\nAnswer: -2, 10, 1354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 2*f**6\/15 + 5*f**3\/6 + 2*f. What is the second derivative of x(n) wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 249, 266, 293, 330, 377?\n\"Answer: 5*t**2 + 2*t + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(14)*3*-5)\/(sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72)*2 - sqrt(72))*-6 - sqrt(72) - sqrt(72)))*-4.\nAnswer: 15*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12271365*g**2 - 174 + 177 + 12271378*g**2.\nAnswer: 13*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 + 3. Let m = y - -1.5. Let p = 2 - m. Is p less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.07, -2, 937, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6301 = 315*p + 9136 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*u - 118*u - 719 - 1794 = 0. Which is the closest to 1? (a) -0.1 (b) u (c) -24 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*c**4*r + 779*c**3*r - 2*c**2*r + c**2 - 182*c - 31*r wrt c?\nAnswer: 1416*c*r + 4674*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 234?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h = 1191. Find the common denominator of h\/528 + 2\/(-11) and (-26)\/(-4)*4\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5399 or -5400?\nAnswer: -5400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 43\/(-3) - (-1)\/3. Let u be (r\/3)\/((-6)\/9). Suppose -4*l + 43 = 3*o, -2*o - 32 = -l - u*o. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 10*y**2 - 15*y. Let i be d(11). Which is smaller: i or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 + -105. What are the prime factors of k?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 + 2*n**4 - 3*n**4 + (3*n**3 + 4*n**3 - 5*n**3)*(2*n - 4*n + n) - n**4 - 3*n**4 + 2*n**4 + (-n**3 - 3*n**2 + 3*n**2)*(4 - n - 4).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + 3. Let z = 1 + -2. Let q be 2\/z + 10\/(-5). Is h(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 272.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25565.29 millimeters?\nAnswer: 2556.529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20 and -50.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-34)\/(-114))\/(30\/(-2511)). Let i = x + 366\/19. Calculate the common denominator of i and 3\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22237039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2*(-4)\/8. Suppose 2*i - 5*i + 279 = 3*l, x = 5*i - 5*l - 445. Is 10 a factor of (-11)\/(-44) - i\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0*k**6 + 0*k**4 + 0*k - 2\/3*k**3 + 0 + 1\/210*k**7 + 0*k**5 - 4*k**2. What is the first derivative of d(z) wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16*d + 7. Let s be y(-3). Let x = 47 + s. Calculate the remainder when 9 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 67.5. Let i = m + -4.5. Let o = 5 + -4.6. What is the smallest value in o, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 29*s - 184 - 187 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l\/(l\/l**(-2)))))\/((l*l*l*l**(-1\/9))\/l*l))\/(l\/l**(-3\/8)*l*((l**2*l)\/l)\/l))\/(l**6\/l**(-1\/2))**47 assuming l is positive.\nAnswer: l**(-22591\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5674\/93 + -61. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Let p = s + -2.00002. Round p to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 704660 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8328 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2243323 (base 5) to base 4.\nAnswer: 21320033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45626 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (240\/(-1120))\/(3\/(-8)). Which is the closest to -1? (a) -0.2 (b) z (c) -13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2526 - 1073. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 - 1)*(5*p - 3*p - 7*p)*(0*p - p + 0*p)*(-5 + 3 - 1)*(7 + 10*p - 7)*(-3*p + 0*p + 2*p) in the form t*p + y*p**2 + g + v*p**4 + c*p**3 and give v.\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 28 = 5*m, 8*t - 9*t + 3*m - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h**2 + 5*h**2 - 2*h**3 - 38*h**2.\nAnswer: -2*h**3 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*n**2 - 724*n**2 + 358*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 267713651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x - 4*o, -5*o = -2*x - 0*o + 38. Suppose 2*c - 202 = -5*z, x*z - 203 = 4*z - 3*c. Suppose 6*h + z = s + h, 3 = h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1928188, 3856361, 5784534, 7712707?\n\"Answer: 1928173*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -57. Let f = d + 24. Which is the nearest to -1\/3? (a) -5 (b) f (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774327865.\nAnswer: 5, 154865573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 115*r**3.\nAnswer: 5*r**3*(r + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 168?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*i**(1\/2)*i**(-1\/6)\/i**5)**(-4\/11) assuming i is positive.\nAnswer: i**(368\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*(5 + sqrt(243)*2 + -5 + sqrt(243)))**2.\nAnswer: 108*sqrt(3) + 8749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*h - 10 = 94*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -27 (b) -397 (c) 28 (d) 1\/3 (e) -0.61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -724516*s + 12*s**2 + 362258*s + 362258*s. Let m(g) = -4*g - 33. What is d(m(t))?\nAnswer: 192*t**2 + 3168*t + 13068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -14221212?\nAnswer: -14221203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {n: 4, x: 2, i: 1, c: 12}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 6. Let m be a(5). Suppose 2*h = 2*x + 22, -2*h + x - m = -30. Calculate the remainder when 161 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5241133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3400)\/690 - (-490)\/105?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 + 28*j. Let b be q(10). Calculate the remainder when 21 is divided by b - -20 - (-14 + 1 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31\/12 + 13\/4. Let x = 181.37 + -181.67. Which is the second biggest value? (a) 2 (b) n (c) x (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(59 - 65)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 103 = 8. Suppose 0 = -3*q - 0*q + 108. What is the remainder when q is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11695\/21 - -557. Let o = -22\/9 - 217\/18. Let c = -15 - o. What is the nearest to c in l, -3\/4, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 6*i - i - 2, 4*d - 4 = 4*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19450 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/6 - 38665*t**2\/3 + 149614150*t\/3 - 298764500.\nAnswer: 5*(t - 7730)**2*(t - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 345431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5 - 3. Let c be 30001\/1 + w\/8. Round c to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6)\/((-2)\/(-12)). Let a(f) = 0 - 3 - 13 - 25*f - 439*f**v. Let n be a(-16). Round n to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*i + 6993840 = 7023480 for i.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-14 - 6)) + -13 - -14 - (44 + 2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 324.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -826*b*f*w**2 - 3*b*w - 3*f*w**2 + 14*f*w + 458*f - 4*w**2 wrt w?\nAnswer: -1652*b*f - 6*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*n + 13. Let u(k) = 0 - 6*k + 15*k - 1. Is u(n) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 211, 735, 1613, 2845, 4431, 6371, 8665?\n\"Answer: 177*b**2 - 7*b + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 38 = -4*o - 30, -4*o + 3*x = 12. Solve -3*j - 2 = v - o*v, 0 = -j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3617776 and 30448?\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-170))\/((-3)\/(-5)) + 18\/(-20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.04. Put u, -1\/5, -2\/7 in descending order.\nAnswer: u, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*w**2 + 2*w**2 - w**2)*(-64*w - 63*w + 25*w) + (-5*w - 5*w**2 + 5*w)*(w - 3*w + 7*w).\nAnswer: 77*w**3 - 204*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 16 = 5*m. What is the greatest common divisor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -64*w + 1325. What is i(31)?\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 10:34 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n + 27. What is the tens digit of a(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 1:52 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 81*h**8\/56 - h**7\/14 + h**5\/20 - 2*h**4\/3 + 20*h**3\/3 - 8749*h. What is the third derivative of j(v) wrt v?\nAnswer: 9720*v**3 - 180*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 - 34*v**2 + 41*v**2 + 261 - 84*v - 45 = 0. What is v?\nAnswer: 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -846 greater than or equal to -846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 31*u - 9*u)*(4 - 4 + u - 2).\nAnswer: 25*u**2 - 50*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 0 - (-34)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 95 = 22*b. Let u(d) = -d**2 + 2*d - 4. Let o(r) = -2*r**2 + 3*r - 6. Let t(v) = b*u(v) + 2*o(v). Let z(j) = -j. Determine t(z(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2))\/sqrt(6))\/((sqrt(12) + sqrt(24)\/sqrt(2))\/sqrt(6) + sqrt(2)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o + 37. Let b be t(3). Is 17 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 697 - 247. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1624152 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/4)\/((-8)\/(160\/(-1155))) and -19\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2. Let o(n) = -6*n**2 - 5*n. Determine o(k(i)).\nAnswer: -54*i**4 - 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3570 - -3573. Is g at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401 by 286.\nAnswer: 401\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 31*y. Let v be t(27). Let k = -109 - v. Which is the nearest to k? (a) 0 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*l = 129 - 52. Is l at least -4\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4 + 5212*c**3 - 5214*c**2 = 0. Calculate c.\nAnswer: -2607, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 53. Suppose 6 = g*p - 11*p + x, 0 = p - 4*x + 9. Let b(k) be the second derivative of k**5\/10 + k**4\/12 + k**3\/6 + 2*k. Calculate b(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16010 (base 8) to base 5.\nAnswer: 212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 29. Let m = -30 - l. Let p = 83 - m. What is p rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137174*i**3 - 3050*i**2 + 7*i wrt i.\nAnswer: -823044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 d, and 2 l when four letters picked without replacement from tdtleedsnnttdllllle?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o - 4. Let t be f(3). Let d(m) be the first derivative of 3*m**2\/2 - 10*m + 1. List the prime factors of d(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -3 (b) -1\/11 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 2*s + 0 - 2 - 7*s to the form l + h*s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13*(0\/(-1) - -3 - 2). Let g(h) = 3*h - 35. Let l be g(b). Suppose -x - p + 82 = x, l*x - 2*p - 172 = 0. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/9 (b) 0.66 (c) 0.737 (d) 0 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.082 + 0.492. Let b = -0.1 + 0.11. Let i = b - s. What is the third smallest value in i, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.42863 - 8.92581. Let g = h - 25.5. What is g rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 398524 (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 23032903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(9\/72*-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -149. Does 63 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/4)\/((-146)\/(343392\/252))\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (2 - 6) - (-3 - (-16 - -14))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 - (-5)\/10*2*-5. Let b(m) = m + 23 + 3 - 16. Let k be b(-5). Solve 4*v - 2*o = -x*o - 16, -5*o = -k*v + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -361*q**6 + 1835*q**2.\nAnswer: -43320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*o, 79*i + 7*o = 76*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 6*p**2 - 10*p + 35. Let c be y(3). Solve 4*b - 18 = q, -10*q + 2*b = -c*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 3*w - 1. Let y be n(3). Let f(r) = -170*r - 556. Let v be f(-14). Let c be (-1024)\/v + 2\/3. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84.4*1211773\nAnswer: -102273641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13722*o**2 + 17*o - 8. Is h(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47145 by -15715.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let w = 4 + 0. Let z(n) = -w*n - n + n. What is z(i(x))?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + (-216)\/(-42))\/(3 + (-168)\/49). Solve 0 = -2*t + 5*x - 18, -24*x - 2 = w*t - 21*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 12*y + 156 + 46\/3*y**3 + 1\/2*y**2. What is the second derivative of q(f) wrt f?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 142150 = 4*i - 2209394, -4*y + 3*i = -2067244. Suppose -28*u = -53*u + 6170275. Let l = y - u. Round l to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10350 - -411044?\nAnswer: 421434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 17*r - 14 = 0. Let q be -14 + (-2)\/4*0. Let o = r - q. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 52, 1\/4, 34, 0.1, 1.21?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 796680.8mm?\nAnswer: 0.7966808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4856358 and 300.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0385034 seconds?\nAnswer: 38503.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20584867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 18*r - 99. Let h be q(-13). Let y(k) be the first derivative of -7\/2*k**3 - 2*k + 2 - h*k**2. Determine d, given that y(d) = 0.\nAnswer: -2\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q. Let d be 4\/6 + 2\/(-3). Let n(v) = 3*v + d*v - 3*v**2 - 3*v. Determine o(n(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -2*g + 49. Calculate the lowest common multiple of g and 4.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/51)\/((-271)\/813)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 + 2 + 2 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11154794, -11154797, -11154800, -11154803, -11154806?\n\"Answer: -3*r - 11154791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - 285*y**2 + 13504*y + 714. What is l(-180)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108759, 108790, 108871, 109026, 109279, 109654, 110175?\nAnswer: 110866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 463430026 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/4 + 8*p**3\/3 + 10*p**2 + 1564. Factor u(v).\nAnswer: -v*(v - 10)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, l: 1, k: 2, x: 2, u: 1, s: 1}. Give prob of sequence hls.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 24. Let g = 15 - f. What is the nearest to -0.1 in -3, -3\/5, g?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*a + 12, -8 + 2 = -2*r. Suppose -2*u + 14 + a = 0. Solve 3*o + u = 5*o - x, 2*o + 3*x + 13 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 153136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, c: 3, u: 1, w: 1, h: 3, v: 2}. Give prob of picking 1 u, 1 c, and 2 v.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 + 59*s - 15. Let v be g(-15). Suppose -5*t - 5*l = -4*t - 37, 4*t - 3*l - 56 = v. What is the greatest common divisor of 595 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66565334 or 66565341?\nAnswer: 66565341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5142, -10286, -15430, -20574?\nAnswer: -25718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32540176*h**3*q*y - 2*h**3*y + 4*h**3 - 3*h**2*q + 643093*q - 3 with respect to y.\nAnswer: 32540176*h**3*q - 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_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: In base 10, what is -8 - -68?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*p + x + 9 - 13, -6*x = -4*p + 46 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmmqmqmmqjhmjm. Give prob of picking 2 q and 1 j.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 443371 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/21 + (-341)\/3. Let w = 24 + q. Let a = 119 + w. Calculate the remainder when 55 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -632 + 680. Suppose -3 = t - 7*d + 4*d, 3*t = -3*d + 3. Suppose t = 2*v - 8*v - i. What is the third smallest value in 2\/3, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0\/(-2))*-15. Let w = c - -20. Suppose 30 = 2*d - 4*v, -d + w*v + 34 = d. Solve -2 = f - d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.712413 - 153746.\nAnswer: -153756.712413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1665*t + 2. Let l(y) = -15*y**2 - 2*y. Determine a(l(v)).\nAnswer: -24975*v**2 - 3330*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 3 + 1)*0. Solve q = 21*h - h + 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*b = -6, 8 = 4*p - 3*b - 1. Let t be 28\/(9 + -5) - (-4 - p). Suppose -7*i + t*i = -44. What is the second smallest value in -1\/5, 0.1, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10 = 34. Let g = w + -7. Suppose 18 = g*z - 12. What is the lowest common multiple of z and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-225)\/3)\/25*6\/8)\/((-1)\/24).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 21 = -5*t, -4*s - s + 35 = 3*t. Let g = 14 + -5. Let i = g - s. Solve 0 = i*w - 3*c - c + 4, -10 = 5*w + 4*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -247\/4 - -62. Let i = -0.39 + -0.01. Let k(x) = -4*x + 96. Let z be k(24). Which is the closest to l? (a) z (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 6 - 0. Let s be ((-1604)\/1203)\/(44\/78). Is a smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.6 + -38. Let b = -12.4 + 13. Let p = b - r. Are -2 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962602 is divided by 358?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -93. Let f = -8.8 + 1.8. Let a = f + u. What is the third smallest value in 0.1, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.097013 and 0.01.\nAnswer: 0.00097013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 4. Let k be t(-4). Let r = 16 + k. Solve -j = 3*f + 3*j - r, -14 = -4*f - 2*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -335 + 642. Suppose 5*v + 3*h - 627 = 0, -3*v = -4*h - 46 - d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4*d**3 + 1 - 3*d**3 - 8*d - 4*d**2 - 17*d**2 - 3*d**3 to the form j + p*d + t*d**2 + o*d**3 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8707 + 8731. Calculate the remainder when 332 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -461, -875, -1289, -1703?\nAnswer: -2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*k - 3, -p - 4 = -3. Let c(d) = 2316*d + 5. Is c(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 9, f: 2, g: 3, y: 3, j: 1}. What is prob of sequence pyy?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96330 + 6434 - 16*a**2 - 72543 - 3*a**2.\nAnswer: -19*a**2 - 162439","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 1. Let s(b) be the first derivative of b**2 - 3*b - 4. Let x be s(4). Which is bigger: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -40*h + 381. What is l(11)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 + 5*p**2 - p + 25. Let k(f) = 3*f**3 - 5*f**2 + 2*f - 24. Let z(r) = -3*k(r) - 2*o(r). Determine z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 12. Let s = -3 + 13. Let c be l(s). Find the common denominator of (62\/c)\/((-88)\/(-16)) and 41\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(792) + (sqrt(792) - sqrt(792)*1) - sqrt(792)) + sqrt(792) + sqrt(110)\/sqrt(45))\/(-6*1*(sqrt(44) - sqrt(11)))*4)**2.\nAnswer: 2888\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3194.451 months to years.\nAnswer: 266.20425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z - 7 = -33*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*z**3 + 9600\/7*z - 328\/7*z**2 - 61056\/7.\nAnswer: -4*(z - 12)**2*(z + 106)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 + 141. Suppose n - f*a - 9850 = -4*n, -n + 1963 = -2*a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-11) - 28028\/3388?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38118276 + 388962*p + 1323*p**2 + 3\/2*p**3.\nAnswer: 3*(p + 294)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixteen fifteenths of a minute?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 7*m**2 - 7. Let o(n) = -n**3 - 7*n**2 + 8*n + 7. Let a be o(-8). Let k be f(a). Let b = -6 - k. Sort b, -2, -6 in increasing order.\nAnswer: -6, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*o - 90. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1)*k)*k*k)**(-5))**(3\/11) assuming k is positive.\nAnswer: k**(-45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(10\/11))**10 assuming x is positive.\nAnswer: x**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-1 + -1 + -2*(sqrt(405) + sqrt(405) + 1).\nAnswer: -45*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -27967.96068?\nAnswer: -27968.46068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t - 89*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1852139 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -686172\/13, -3, 2.\nAnswer: -686172\/13, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*p + 160. Suppose k - 3*k = -p. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299642 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, -5, 742, 5, -1365 in increasing order.\nAnswer: -1365, -11, -5, -3, 5, 742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 9*s**2 - 2*s + 3. Let b be a(-9). Let r = b - -17. Let d = -20 + r. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -17, -34, -59, -92, -133, -182?\n\"Answer: -4*j**2 + 3*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2235.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -62, -0.1, 4, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**5\/60 + 7*d**4\/8 + 41*d**3\/6 + 5*d**2 + 82*d. What is b(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91769 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594 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: Simplify 3 + (sqrt(374)\/(sqrt(44)\/sqrt(4)))\/(sqrt(4)\/sqrt(2)*6).\nAnswer: sqrt(17)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*g + 2045*g**3 - 2038*g**3 - 196*g.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-2\/133) assuming s is positive.\nAnswer: s**(4\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 3 - 1, 2*u - 4*z + 6 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62306623*c**4 + 15598387*c?\nAnswer: -747679476*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v**2 + 35*v**3 + 111*v**2 - 51*v**3.\nAnswer: -16*v**3 + 148*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1208, 1206, 1202, 1196, 1188?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23196.\nAnswer: 2, 3, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**6 + 77*i**3 + 42*i**2 + 11*i wrt i?\nAnswer: -120*i**3 + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lalfgijllliajlfllfii. What is prob of sequence fgil?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/19 - (-13 - 19750\/(-1710)). Let z = l + -19\/18. What is the third biggest value in -1, z, 7, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(567)*2 + 6*(sqrt(567) - (2 + sqrt(567) - sqrt(567))))**2.\nAnswer: 1296*sqrt(7) + 20556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.106814 to 2 dps.\nAnswer: 13.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 38*g**2 + 60*g - 440. Calculate z(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.0317178.\nAnswer: -0.158589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4. Let j = q - -6. What is the units digit of (-16)\/((-6)\/(j\/2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -293.1 times 9\nAnswer: -2637.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131867*t**2 - 76907*t**2 + 280830*t**2.\nAnswer: 335790*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = s - 4. Let h = s + -8. Which is the closest to 1\/2? (a) -1 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1401576303 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 8 + p - 5*p + 4*p. Let g be h(8). Let k = g + 39. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4189?\nAnswer: 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 37 = -5*t, 0 = -t + 5 - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 28. Let x be q(-8). Solve -3*a + 0*l = -l - 4, -x*l = -20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) -20 (b) -0.2 (c) -78\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f - 51. Suppose 6*h - 3*h = 2*a + 398, -675 = -5*h + a. What is the highest common factor of h and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 107*f + 1132. Determine w(0).\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -6, -2\/9, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2414 + 109*u - 2412 + 12*u + 56*u.\nAnswer: 177*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/105 + -236\/1365. What is the smallest value in v, -7, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -29409?\nAnswer: 29411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 0 (c) -0.05 (d) 0.02 (e) 33.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*j + 36 = -j, 3*y - 4*j - 53 = 0. Let m = y - -7. What is the remainder when m is divided by (2\/3)\/(1\/18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10362 - 5699. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.59 - 1.69. What is the closest to h in 4, 0.05, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 = 11*z - 466. Let l = -26.7 + 4.7. Which is the biggest value? (a) z (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 9:06 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(4*u**2 + 1 - 1) + (u + 0*u - 2*u)*(4*u - 6*u + u) - 1 - 2*u**2 + 1.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*s = 14, -s = 2*s. Suppose 4*f = u + 5. Suppose 3*i = 3*k - 96, -4*k - i - f*i = -160. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3262*w**2 + 80*w + 3. Is h(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2346 and -89\/73899.\nAnswer: 147798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 2:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 53, 109, 167, 227, 289?\n\"Answer: i**2 + 53*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 + 3 = 0. Let u be -6*d\/(-4) - 6. Is (-1)\/u + (-62)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 - 12*b - 9)*(0 + 0 + 5) + 4*b + 2 - 2 - b - b + 4*b)*(1 - 2 + 0).\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -21 - ((-15 - 9) + 15) - -62\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/26*(-2262)\/(-9). What is the highest common factor of t and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 6*k**2 - k + 3. Let h be i(-6). Is (-3)\/(h\/(-3))*157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4470359 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1079)\/(-166))\/(498\/(-332)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*u - 2524 = 590 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohi when three letters picked without replacement from {o: 2, f: 2, d: 1, h: 4, i: 1, j: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 3*r - 15. What is x(5)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-527)\/(-816)*(-8)\/10 and 89\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1909, -3798, -5687?\nAnswer: -7576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 333608927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*b = 4*b, 4*l = 4*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-4 - -2) + -5). Let u be 6\/((-60)\/5)*4. Let q be 2\/(-30) - (12\/(-5) - u). Sort j, 2\/3, q in increasing order.\nAnswer: q, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssossssosss. What is prob of sequence so?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-10) + (-21)\/(-105). Put -5, f, 0 in decreasing order.\nAnswer: 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 - k + 1. Suppose -i + 7 = a, -4 = -2*a + i + 4. Suppose -6*m = -m - a. Determine z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25203 - -80203. Round g to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 13*f - 1 = 16*f, 0 = 4*g + 2*f + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*a - 12, -2*a + 2*s - 9 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/(-8))\/(-3 - -1). Let s be (101\/52 - 2)\/(6\/4). Let f = s - -63\/286. What is the third biggest value in k, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -63302.77 times 24?\nAnswer: -1519266.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 230082 bigger than 229924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3777 and 113\/1680.\nAnswer: 2115120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-3*2 + -4.\nAnswer: -6*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1. Let i(u) = u - 263. Let b(n) = -i(n) + 2*z(n). Let l be b(0). Is 14 a factor of 7\/(-35) + l\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280862 and 101890?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**4 - k**2 + k. Let n(f) = -6*f**4 - 2*f**2 - 3*f. Let z(s) = 2*m(s) - n(s). Find the second derivative of z(x) wrt x.\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/22*-2). Which is smaller: 8 or v?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -176, -434, -692, -950, -1208, -1466?\n\"Answer: -258*c + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1136*r**3*x + 13244*r**3 - 4*r**2*x - 69*r*x - 90*r + 160*x wrt r.\nAnswer: 6816*x + 79464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**6\/360 - t**5\/60 + t**4\/6 + 5*t**3\/6 + 16*t**2 + 153*t. Let x(c) be the second derivative of m(c). Give x(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 + 2*q - 9. Let p be g(-5). Let h = -150 - p. Let l = 24 - h. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 226*j**2 - 933*j**2 + 220*j**2 + 230*j**2 + 237*j**2. Let k(m) = 50*m. Give r(k(w)).\nAnswer: -50000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 48. Let y be h(19). What is the remainder when 2*149 - (y + 30\/(-6)) is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -54.5 and -0.0819198.\nAnswer: -54.5819198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1263 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863543.1m to nanometers.\nAnswer: 863543100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 338?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 12 = -g + 5, -3*g + 4*l + 13 = 0. Let v(o) = -o**3 + 7*o**2 + o - 5. Let d be v(g). Factor d*u + 0 + 1 - 8*u**2 + 8*u - 3.\nAnswer: -2*(u - 1)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 2 = -3*j, -u + 44*j + 3 = 49*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1083328 - 7596914\/7. Let n = -1940 - d. Which is bigger: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 31?\nAnswer: -15\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36774930 by 799455.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 777407080 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12*3\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -578*j**2 + 119*j - 119. Let p(m) = -5*m**2 + m - 1. Let v(w) = 238*p(w) - 2*r(w). Let l(u) = 20*u. Determine v(l(z)).\nAnswer: -13600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - ((-55)\/45 - 8\/(-36)). Let d = v - -126. What are the prime factors of d?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 10500.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1810*z**4 - 2*z**3 - 4*z**2 + 302*z wrt z.\nAnswer: -43440*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -299031, -299029, -299025, -299019, -299011, -299001, -298989?\n\"Answer: u**2 - u - 299031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1. Let i(j) = 4*j - 4 - 3*j**2 + 8 - 3*j - 6. Calculate -i(q) - 3*m(q).\nAnswer: 3*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2014*f + 138 = -1945*f. Solve 0 - f*y + 1\/5*y**2 = 0 for y.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 6*h + 6. Let r be (h\/10)\/((-13)\/(-26)). What is the nearest to -2 in -4, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*y + 130*y = 0. Which is smaller: y or -11\/17?\nAnswer: -11\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 8*h + 16 = 0. Let d = 22 - h. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 48 = 3*z, -7*p + 3*p - z + 84 = 0. Let j be (-3)\/(-1) + (4\/(-2) - -1). Find the second derivative of p*g - 33 - 2*g**2 + 33 + 4*g**j wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 2*f**4 + f**3 - 35. What is the third derivative of k(a) wrt a?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -478*r**3 + 26 - 94*r**2 - r + 25 + 3*r + 475*r**3 - 46 to the form c*r**3 + t*r**2 + p + q*r and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 736*b - 733*b + 1, -3*b + 2 = -2*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3770 and 986.\nAnswer: 64090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*1)\/(4\/(-6)). Let x(n) = -2*n + n + v*n. Let o(t) be the second derivative of -t**4\/12 - 2*t. Calculate x(o(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 677963 and 286?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-2*h - 5*h + h)*(-26 + 26 + 3*h**2).\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -20*a - 580, 4*a + 7*m - 11*m - 29 = 5*a for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1639*x. Let m(y) = -40*y. Calculate m(p(f)).\nAnswer: -65560*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4606 * 0.2.\nAnswer: -921.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(-13 - 1596\/9)?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 13*z - 10. Let s be c(11). Let u = 25 + s. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 142*m**3 + 41*m + 140*m**3 - 3*m**2 to l*m**3 + y + v*m + b*m**2 and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 3*f)*(0 - 27*f + 0 + (-2*f + 6*f - 2*f)*(1 - 5 + 3) + 0*f + f - 2*f + (-f - 2*f + 5*f)*(0 + 1 - 3)).\nAnswer: -102*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 33*h**2 + 17*h + 5. What is the units digit of f(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 3*m**6\/10 - 2*m**4 - 2*m**3\/3 + 2*m**2 + 1062*m. Find the second derivative of h(y) wrt y.\nAnswer: 108*y**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.76645 micrometers to kilometers.\nAnswer: 0.00000005276645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.7. Let j = -0.07 + -0.93. Let s = 38.3 - 37.8. Which is the closest to j? (a) t (b) s (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 35356146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -525, -499, -459, -405, -337?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-100)\/8 - 9)*(-1)\/2\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/59, 109, 3, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-9)*z*z*z**(2\/17) assuming z is positive.\nAnswer: z**(206\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -37, 1, -4, 3, -67.\nAnswer: -67, -37, -4, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-81)\/(-15))\/((-28)\/(-20)). Let v = j + -19\/14. What is the nearest to -2\/3 in v, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.737 rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615 - 2*f - 623 - 516*f**2 + 1234.\nAnswer: -516*f**2 - 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let d(w) = w**2 - 7*w. Let g be d(7). Let l = h + g. Solve l*q = 3*a + 10 + 6, 5*a + 5*q + 10 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Let w(k) = -213*k + 2560. Let o be w(12). Solve o*h - 2*h - 18 = g*b, 4*b + 28 = 4*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3031 and 1038767.\nAnswer: 7271369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 + -14525005?\nAnswer: -14524511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + -12. Let h = 29.8 + r. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280422943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -r - 2, -3*r + 26 = -11*f + 7*f. What is the fourth biggest value in -4, r, 4, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -7 (b) -2\/9 (c) 375 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26055320 a multiple of 508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/6)\/(1\/(-3)). Suppose -297018 = 589*m - 294073. Put 31, k, m in increasing order.\nAnswer: k, m, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3151 - -3166. Calculate the remainder when 2169 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oofovfoovofvf. What is prob of sequence vfvv?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 12*t**2 - 13*t + 5. Let z = -98 + 85. Determine m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17852 - -17849. What is the third smallest value in -0.056, 0.5, z, 13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51823943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 45*l + 369490 = 0. List the prime factors of l.\nAnswer: 2, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(6\/(-20)). Suppose -2*s = g + 21, -4*g + g = 3*s + 39. Let v = s + 10. Which is the smallest value? (a) -4 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2\/83, -0.8, 1\/383?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -42184800 to the nearest one hundred thousand.\nAnswer: -42200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -20*b + 112. Let t(v) = 4*v - 37. What is 10*t(w) + 3*y(w)?\nAnswer: -20*w - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 10*o**2 - 21*o - 14. Calculate the least common multiple of t(12) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/11, 3\/4, -5, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 2, -5, 1\/3723, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14383 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29490915*b**3 - 108717522 wrt b.\nAnswer: -88472745*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 190*f**3\/3 - 2510408*f**2 + 158552*f\/3.\nAnswer: 2*f*(f - 39638)*(95*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Total of 42016.986 and -0.32877.\nAnswer: 42016.65723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 4254021.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*f + 228 = -3*d, -d - 4*f + 81 = 0. What is the remainder when d is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03182173 and 5.\nAnswer: 5.03182173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11353944*s - 166793704.\nAnswer: 11353944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28298 is divided by 1180?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 83361, 82107, 80853, 79599?\n\"Answer: -1254*l + 84615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i + 5. Let h(w) be the first derivative of w**2\/2 - w - 2. Let n(r) = -r**2 - 7*r + 5. Let p be n(-5). Calculate p*h(a) + 3*c(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138390 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 11 - 52*n**3 + 5 - 3*n + 2*n**2 - n + 15*n as c*n + x + b*n**2 + k*n**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18263 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 385 - 1200. Let h = 7814 - 7813. Which is greater: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/6 - 11\/33. Let n be 1 - (o + 5 + 113). Are -114 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46053\/1738 - 2\/869. What is the common denominator of a and -73\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 71\/5 of a minute?\nAnswer: 852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y = -25*y - 4466. What is the highest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 947*s + 22182. What is r(-23)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502 less than 4.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 12*s. Let j be f(0). Suppose 0 = -o - j*o - 4*z - 4, 4*z + 8 = 0. Solve -5*y + 27 = -4*n, 10*n + 27 = o*y + 5*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -3. Suppose -13*t + 18*t = 35. Are b and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7544839620 to the nearest 1000000.\nAnswer: -7545000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/(-6)*1*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -526, -793, -1062, -1333, -1606, -1881?\nAnswer: -2158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 134783700 to the nearest one million.\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -115473809*-0.1\nAnswer: 11547380.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 - 51*o**3 + 31*o**3.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 17. Suppose 4*g - 132 = -d. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -74*v + 89*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004866345431 to 4 dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*j*m**2 + 101*j*m - m**3 + 2 wrt m?\nAnswer: 134*j - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2. Let u(n) = 7780*n**2. Give u(l(h)).\nAnswer: 194500*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-161)\/(-14) - 2\/(-4). Is 14 a factor of m\/(-3) + (-144)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493031 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5 + 124*g**4 + 728*g**3 - 5344*g**2 - 26112*g = 0.\nAnswer: -17, -16, -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78952, -78953, -78954, -78955, -78956?\n\"Answer: -u - 78951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1134872 divided by 127.\nAnswer: 8936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/6 + 5*c**3\/6 - 5*c**2\/2 - 11*c. List the prime factors of q(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 40800 to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 4676?\nAnswer: -4674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yccylyqcyyqky. Give prob of sequence yc.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3051*x**2 - 18*x - 9. Let o(t) = -1521*t**2 - 8*t - 4. Calculate -9*o(f) + 4*r(f).\nAnswer: 1485*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*w - k, k = -5*w + 31 - 6. Let m(j) = 2*j - 3. Let o be m(2). Solve 2*g - w = o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/6853 - 13688\/61677. Let q = 19.1 - 0.1. Which is the closest to q? (a) 3 (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 11 - 32 + (1 - 3 + 4)*(-3 + 1 - 12))*(-9*c**2 - 11*c**2 + 8*c**2).\nAnswer: 1152*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - 2*x**2 + 4*x - 2. Let n be t(2). Suppose 2 = -5*y - 4*r + 4, 0 = 4*y - 3*r - n. Suppose i = y*i. Is i at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**3 + f**2 + 6*f - 13. Let x(i) = 6*i**3 + 2*i**2 + 6*i - 14. Let v(y) = -7*r(y) + 6*x(y). Is 14 a factor of v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 10:58 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1518644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 0.1, -0.4 in increasing order.\nAnswer: -0.4, -2\/27, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7258\/397 or 17?\nAnswer: 7258\/397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616558946.\nAnswer: 2, 1308279473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -19092\nAnswer: -19089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0 + 5\/6*n**3 + 7\/24*n**4 - 1\/60*n**5 - 8*n**2 + 0*n. Give j(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 27285 + 28115. Let b be (-1)\/(-7) + m\/(-70). Let j = 317 - b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - w + 0*w)*(3*w - 3*w + 2 - 2*w)*(-5 - 1 + 3)*(1616 + 3512 - 1112) as f*w**2 + g + u*w and give f.\nAnswer: 24096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -2.2.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6112 and 274285168.\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18212*2\nAnswer: 36424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -307 in 29, 20\/7, 0.4, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -150, -656, -1540, -2820, -4514, -6640, -9216, -12260?\n\"Answer: -3*q**3 - 171*q**2 + 28*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*c*r**3 - 2*c*r**2 + 83*c*r - 146*r**3 + r - 254 wrt r.\nAnswer: -276*c*r - 4*c - 876*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/189)\/((-1)\/7)*6\/4.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(112) - ((sqrt(112) + 1 - sqrt(112)) + sqrt(112) - sqrt(112)))*3 + 5)**2 - (2 + (5*(sqrt(112)*2 + sqrt(112)) - (sqrt(112) + 1 + 4)))**2.\nAnswer: -864*sqrt(7) + 3339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjjjovrorwrojro. What is prob of sequence jjr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 60 = 8*l. Let u be 25\/(-5) + -3 + l. Solve 2*s = u*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u. Let q be (2 - -2) + 1 + -3. Let m(w) = 0 + q*w - 3 + 3. Determine m(h(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/4 + 155*u**2\/4 - 239*u\/2 - 158 = 0.\nAnswer: -158, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**3 - 6*y**2 + 5. Let x(d) = 18 + d + 7*d**2 - 13 - d - 11 - 7*d**3. Determine 5*i(j) + 4*x(j).\nAnswer: 2*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28, 29, 10, -35, -112, -227?\n\"Answer: -a**3 - 4*a**2 + 20*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 775248 (b) -4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {k: 4, l: 2, r: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-32886)\/(-11592))\/87.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x. Suppose -8*z + 454 + 34 = x. Let a = z + -49. Calculate the remainder when 44 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(10\/(-4)) + -26. Let w = -19 - l. What is the remainder when w is divided by 0\/5 - -2 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/7, 0.3, 0.11 in decreasing order.\nAnswer: 0.3, 0.11, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-3)*2*(-6)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (62\/(-4))\/(6\/(-24)*2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:27 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18732295.\nAnswer: 5, 389, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6662\/5 + -213459\/160. What is the common denominator of ((-290)\/4 - 0)*11\/330 and f?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Let p(f) = -2*f - 8. Determine -6*j(k) + p(k).\nAnswer: -8*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9637000 rounded to the nearest 100000?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 10:34 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -7, 0, -1195 in descending order.\nAnswer: 1, 0, -1, -7, -1195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(1100))**2 + (1*(-1 + sqrt(1100)))**2.\nAnswer: -80*sqrt(11) + 2210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/28 and 103\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 - 2 - 40*n - 2*n**3 + 40*n to j*n + i*n**4 + m*n**3 + h*n**2 + y and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 21*j**2 - 87*j - 116. Calculate q(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 52. Calculate c(-59).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -0.02 (c) -8\/7 (d) -2\/13 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3035700930.\nAnswer: 2, 3, 5, 83, 113, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 9*k + 17. Let a be o(-9). Suppose -54 = 14*n - a*n. What is the lowest common multiple of 15 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 112\/35) + -2. Let x = -2 - -8\/3. What is the nearest to 0.1 in x, d, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 901, 897, 893?\n\"Answer: -4*a + 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + -137. Suppose -2*j + j = 5*z - 269, 0 = 2*z - 4*j - 90. What is the remainder when z is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6696 and 57474.\nAnswer: 689688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/779, -1\/31, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 7:54 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2709700 rounded to the nearest 10000?\nAnswer: 2710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 6 + 1)*(-6 + 3 + 1)*(3*v + 2*v - 3*v) to n*v + c and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.661388 and -5.95.\nAnswer: -14.611388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -7355 - 15573. Solve y - 1441 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -13*a - 6. Let h(q) = -4 + a*q**3 + 3*q - 3*q**2 + 0 - 2 + 3. Let f(c) = 5*c**3 - 7*c**2 + 7*c - 7. What is -3*f(r) + 7*h(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50917451 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 2\/7, 3, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -654315 < -654328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 725687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzrz when four letters picked without replacement from rdzrrzrrd?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.697 - -1.697. What is the closest to d in 3\/11, 2\/15, -7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 223155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -23*x**3 - 8262*x**2 - 1797*x - 669. Calculate z(-359).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/140844382 and 24\/5.\nAnswer: 704221910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 62*b**3 + 34 + 114*b**3 - 54*b**3 - 3*b in the form y*b**2 + h*b**3 + t*b + z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - y = -597 - 697, -4*k = 5*y - 1302. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 2*sqrt(65)*1)\/(sqrt(20) + sqrt(20)*2).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45610, 90874, 136138?\nAnswer: 181402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -0.08. Let a = -5 - 8. Let g = -18 - a. What is the smallest value in q, g, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l + 70. Let d be s(-4). Solve 11*y - d = 30 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5875297656 plus 153?\nAnswer: 5875297809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1386 + 0.1614. What is the nearest to 1 in 0.5, -1, k, 27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqeaabbaa. What is prob of picking 1 r and 1 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 49*q**2 + q + 119. What is the least common multiple of z(49) and 9?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30030303 (base 4) in base 9?\nAnswer: 75483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*l + 2*c**3 - 29*c**2*l - 3*c**2 + 2*c*l + 2*c + 30*l - 3 wrt c.\nAnswer: 6*c*l + 12*c - 58*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**4 - 6*d**3 - 7*d**2 + 6*d + 4. Let t = -193 - -189. Let z(g) = g**2 - 1. Let v(l) = t*z(l) - n(l). Factor v(h).\nAnswer: -3*h*(h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 7. Let s = q - -6. Find the third derivative of -2*t**2 + 2*t**4 + 2*t**s - t**2 wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 22*w + 123. Let b be q(-10). Suppose -i - u + 1074 = i, b*i = -5*u + 1597. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2532 and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4\/5 + 572*r**3\/5 + 18944*r**2\/5 - 21904*r = 0.\nAnswer: -74, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 83523, -5, 482?\nAnswer: 482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*t - 2 = 0, 0*c - 3*t = 5*c - 55. Let m = c + 12. Suppose 2*f - 6*f - m = 0. What is the nearest to -1\/4 in f, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 283.2677 + -285.63. Round x to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/27 (b) -2 (c) 5 (d) 0.2 (e) -10\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203b9b (base 15) to base 6.\nAnswer: -52454132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(96\/570) + -22.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -140\/3, 10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -866*((-5646)\/(-4) + -2). Let h = t + 614627. What is h rounded to the nearest ten thousand?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*t**3 - 45*t**2 - 5*t + 5 = 0. Calculate t.\nAnswer: -1\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4 + 23*g**3 + 7163*g**2 + 92265*g - 99450 = 0 for g.\nAnswer: -65, -15, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4 + 3*p + 2*p**2 - 1 + 8 - 3*p**2. Let b be i(3). Let g(d) = 3*d**2 - 2*d - 4. Let n be g(b). Solve s = -2*h + 4*s + n, -2*s = -3*h + 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-2))\/((-6)\/(-8)). Suppose 0*z = -t*z. Suppose -5*p + p - 22400 = z. What is p rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1551302, 1551392, 1551552, 1551788, 1552106, 1552512, 1553012, 1553612?\nAnswer: 1554318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from jsozoz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -19*b + 1347. Let d be h(54). Calculate the highest common divisor of 4387 and d.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -238694.58.\nAnswer: -238690.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10 - (6\/(-81) - 44506\/(-4752)) and -119\/522.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 570, 4482, 15090, 35742, 69786, 120570?\n\"Answer: 558*g**3 + 6*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730393 = -2105*n - 2356*n + 18242*n for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44262?\nAnswer: 2, 3, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5*u**2 - 8 - 14 + 17 as b + v*u**2 + m*u and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 7. Let d be g(0). Let n(v) = -6 + 1 - 2*v - 3. Let t(r) = r - 6*r - r + 4*r - 9. Determine d*n(b) + 6*t(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 664*-78.1.\nAnswer: -51858.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -3 - -5) + (-26 - 1 - 8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 17377*d + 801440. Give h(46).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103.1 - -30.9. Let u = h + -144.46. Let x = u - -0.46. Which is the closest to -1? (a) 2 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78\/7, 3, 0.2767, -1 in ascending order.\nAnswer: -1, 0.2767, 3, 78\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95933 is divided by 220?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/8)\/(m\/m**(-9)))\/(m**(2\/3))**(-38) assuming m is positive.\nAnswer: m**(353\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 171*t + 2109. Give r(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -88.7221.\nAnswer: 354.8884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116411563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let f(o) be the third derivative of -35*o**4\/24 + 12*o**2. Determine l(f(v)).\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:50 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25050476?\nAnswer: 2, 11, 149, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 31. Find the third derivative of -9*i**n + i**4 - 10*i**4 + i**4 wrt i.\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -112\/3. Suppose 0*t = 3*t - 12. Let n be t\/26 + 0\/6. Which is the nearest to i? (a) 0.1 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 2*g**2 + 14*g**2)*(1 - 216*g**3 - 349*g**3 - 46*g**3).\nAnswer: -8554*g**5 + 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:49 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272953?\nAnswer: 499, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + -5 + (0 + sqrt(833))**2 + sqrt(833) - (sqrt(153) - (1 + sqrt(153)))*5.\nAnswer: 14*sqrt(17) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = 52*f - 24*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27320*w**2 + 3221*w**2 + 290*w**2 - 3463*w**2.\nAnswer: -27272*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 2, k: 4}. What is prob of picking 1 b and 2 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 2*b**2 + 0*b**2)*(-3*b + b + b) + ((b + 1 - 1)*(-9*b + 4*b + 8*b) - 3*b**2 + 6*b**2 - 2*b**2)*(0*b + b - 3*b + (3*b - 3*b + b)*(4 + 1 - 4)).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2905 - 2071. List the prime factors of w.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154 or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -c871 (base 15) in base 12?\nAnswer: -2065a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m + 8. Let l(c) be the third derivative of 0 - 1\/60*c**6 + 0*c - 1\/30*c**5 + 1\/24*c**m + 0*c**3 - 2*c**2. Determine l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuxuuuponohx. Give prob of picking 1 o and 2 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 18*i**2 - 26*i**2 + 5*i**2 + 3*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 37*z + 692. Determine j(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68 or -0.11128?\nAnswer: -0.11128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -382, -776, -1172, -1570, -1970, -2372?\n\"Answer: -y**2 - 391*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)\/((y**(2\/17)\/y)\/y))\/(y**(8\/7)*y**(25\/3)) assuming y is positive.\nAnswer: y**(-5065\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29*-0.224.\nAnswer: 0.06496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449839734.\nAnswer: 2, 13967, 87701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -22 + (2031 - 1949).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/6)\/(4\/(-16)). Let m(q) be the first derivative of 0*q - 1 - 1\/2*q**4 - 2\/5*q**5 + q**2 + t*q**3. Factor m(i).\nAnswer: -2*i*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Let b(z) = 2*z**3 - 2*z - 1. Is b(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/2))**(-1\/20))**33)**(-10) assuming x is positive.\nAnswer: x**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3300*o - 9863. What is y(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, -14, 1, 16?\n\"Answer: 15*p - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3 - 4 + 7*c - 1 - 3 + 5*c. Calculate p(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + 0.06. Let v = 0.052 - -0.348. Which is the nearest to i? (a) v (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0067157 rounded to five decimal places?\nAnswer: -0.00672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6469846 * 5\nAnswer: 32349230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - 81.49675257?\nAnswer: -81.50675257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -33*c + 233. Let g be m(7). Let l(k) = 10. Let n(f) = 4. Let t(u) = -5*l(u) + 12*n(u). Let h(v) = -v. Give g*h(q) - t(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -1\/6 (c) 5 (d) -0.002 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10070 is divided by 2962?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g = 43*g + 42. Solve 2*m + g = -3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 240 = -60*l - 437 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let z(x) be the second derivative of x + 0 - 1\/3*x**3 + 0*x**2. Determine z(r(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**8\/20160 - x**5\/60 - x**2. Let g(j) be the third derivative of t(j). Let n(d) = -6 + 0 + 6 + d**2. Calculate n(g(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.1 and 0.701?\nAnswer: 13.3891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3448, -9, 32 in descending order.\nAnswer: 3448, 32, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 234, 217, 182, 123?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**3 + 45*u - 302 wrt u?\nAnswer: -6*u**2 + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.3 + -45. Let x = -15.756828 + 0.044728. Let t = x - b. What is t rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -52183 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30315 (b) -0.3 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151107 to the power of 1\/2, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f + 5*a + 25, a - 5 = 0. Let v = -124 - -74. Is f greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 7*k**2 + 7*k - 11. Calculate u(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)*1)\/sqrt(2))\/(sqrt(324) - (sqrt(324) - (-1*sqrt(324) - sqrt(324)))).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 + -166. Calculate the remainder when 430 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -121927*f**2. Let k(r) = -r. What is t(k(i))?\nAnswer: -121927*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-266)\/(-3) - (-6)\/9) + 406\/(-174). Solve 28*z + 165 = -q for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 46*n**2. Let a(o) = 5*o**2 + 1907*o. Determine a(q(i)).\nAnswer: 10580*i**4 + 87722*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 11:10 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -86.6?\nAnswer: 8.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*x = 14, -2*h + 157*x - 154*x + 13 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/67 at least -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3 and 77\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/975, 5, -0.3 in descending order.\nAnswer: 5, -2\/975, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 16*n - 28. What is the remainder when 86 is divided by j(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3389 or 199994\/59?\nAnswer: 199994\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53799958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/2 of a week?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o + 102 - 22 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a factor of 44315990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.3. Let p = 95.1 + -102. Let l = p + 7. Which is the nearest to -1\/2? (a) -2 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 87.5. What is the closest to 10 in -0.5, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 2.5. Let x = f + -1. Let k = x - 4. Which is the closest to -1? (a) k (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*10\/35\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Suppose -h + 5*p = d, -5*h + 0*p = -2*p. Suppose -2*n - 6 = h, -5*n = -4*u + 6*u + 11. Solve -2 = -m, 5*r = -3*m + u*m + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64092973 and 1285?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*c - 90. Let q(l) = l - l + l + c*l. Let d(v) = -9*v**2 - 7. Let z(b) = -8*b**2 - 6. Let u(x) = -6*d(x) + 7*z(x). Calculate q(u(h)).\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 2444?\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + h**2 - 25*h**3 + 27*h**3 + 6*h to l*h**3 + a*h + u*h**2 + v and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1897, -14095, -47201, -111667, -217945, -376487?\nAnswer: -597745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 43. Which is the third biggest value? (a) g (b) 0.5 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = -44 - 26 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 257*f + 23 - 122*f - 327*f**2 - 138*f wrt f.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-110))\/((70\/77)\/((-4)\/(-2)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 9*s - 3. Let x(j) = -j**2 - 3*j + 5. Let m be x(-5). Let p be (-2)\/m - (-252)\/(-30). What is c(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 28*m**2 - 128*m + 15. Is l(-32) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2527 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 780.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -32*g + 615. Let w(v) = -17*v + 317. Give -6*t(m) + 11*w(m).\nAnswer: 5*m - 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a8 (base 13) to base 9.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/9 (b) -22 (c) 4 (d) -5\/26 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440280.\nAnswer: 2, 3, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 18 = l. Let w(g) = 4*g**2 + 14*g - 8. Let c(z) = 3*z**2 + 13*z - 7. Let k(u) = l*w(u) + 5*c(u). Let q be ((-3)\/(-1)*-1)\/((-3)\/5). Give k(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2031 is divided by 2028.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 23*q**2 - 181*q + 48. Determine z(8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.355?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13335 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8065.843 - -8066. Which is the closest to n? (a) -2 (b) -0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z**3 - 152*z**3 - 1804 + 905 + 901 + 222*z**2 - 222*z**2.\nAnswer: -117*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 18*v**2 - v - 1. Let g = -165 + 146. Let n(d) = -3*d - 53. Calculate the lowest common multiple of h(-1) and n(g).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -900 by 42.\nAnswer: -150\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/27))\/(i*i\/i**(-1\/17)*i*i*i))\/(i**14)**(2\/13) assuming i is positive.\nAnswer: i**(-36850\/5967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -1 (c) 561 (d) 0.4 (e) 7 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -13. Let x be 2 + (1 - 1)*1. Suppose -20 = x*b - y*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 113, 262, 411, 560, 709?\n\"Answer: 149*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r + 4326 - 4326. Let p(l) = 4*l. Suppose 4 = 3*i + 1. Let y be 1\/i*4\/2. Give y*x(m) - 3*p(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*i = 190*i + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**4 - 2132*l**3 - 6420*l**2 - 6428*l - 2144 = 0.\nAnswer: -1, 536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, c: 2, d: 7, r: 8}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 4*y - 2*y)*(341*y - 113*y**2 - 341*y).\nAnswer: 339*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 55. Sort d, 4, -5 in decreasing order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*k + 8165 + 10161 + 20589 = -33213 for k.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -617 or -399720\/647?\nAnswer: -399720\/647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**2 - 22*t**2 + 10*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -232*x**3 + 3*x + 216*x**3 + 12*x + 14*x**2 + 7*x**4 - 21*x**4 + x**5 = 0?\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 39.19. Suppose 4*a - 4*d - 44 = 0, -4*d + 19 = 2*a + 3*a. Suppose -a = -4*n - 3. What is the smallest value in n, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20312002 - 23?\nAnswer: 20311424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2111 - 2119. Put h, -0.5, 5, 7 in descending order.\nAnswer: 7, 5, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44641.91 + -1619.\nAnswer: 43022.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 1:05 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48804136 to the nearest integer?\nAnswer: 6986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13639513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*m - 7*m**5 + 34*m - 3*m**5 + 3*m**5 - m**5 + (m**2 - m**2 + 2*m**2)*(3*m**3 + 2*m**3 - 4*m**3).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3662295058 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/4 + 15\/4. Suppose j + 2 = -4*k - z, k + 3*j + 15 = 0. Is 8*4 - 2 - k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*c**2 + 91*c**2 - 2 + 2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 22, -17641 in descending order.\nAnswer: 22, -18, -17641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -528a + -3?\nAnswer: -528d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/(-10))\/(-3) + (-238)\/(-1190))*9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2265\/21412 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.2 or 1.9?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3630 = 2679*w - 2921*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7 = 5. Suppose -z*u + 719820 = -u. Let a = -280060 - u. Round a to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22963\/10520 + -90\/263. Find the common denominator of h and -49\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20*15)\/((-12)\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 0*s**3 - 1\/18*s**4 + 0 - 4*s + 0*s**2. What is o in y(o) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*d + 87*d + 96*d - 1098*d**2.\nAnswer: -1098*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-12)*(43 - 61). Let u(n) = 1 - 5*n + 3*n**3 + 5*n - n**2 - n. Let m be u(2). Solve -5*i - 5*c = 0, m + o = -4*i + 4*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -3753937\nAnswer: -750787.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2089 or 2086?\nAnswer: 2086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*s + 29 - 95 = 309 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + c = -c + 6, -10 = 3*u - 2*c. Suppose 33 = -28*s - 5*s. Sort s, -0.2, u in decreasing order.\nAnswer: -0.2, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3127.9996898 + -3128. Round g to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 88*w**5 + 14*w**5 - 2*w**4 - 37*w**2 + 156*w**5 wrt w.\nAnswer: 4920*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3. Let u(a) = -a**2 + 5. Let t = 114 - 112. Let c be u(t). Let m(o) = -6*o**3 - 3*o**2. Calculate c*m(b) - 4*x(b).\nAnswer: -2*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 200306 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1 - (-1644)\/(-24))*-5*8\/(-120)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10*8\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -472 - -710. Suppose -4*f - w = -806. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(-18)\/12\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3 = i + 11, 5*i + 4*o - 17 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - -4. What is the greatest common factor of 60 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let r(q) = -q. Suppose 0 = -4*i - 0*i + 20. Suppose i*k + 5 = -10. Determine k*h(a) + 8*r(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(675)*-2)\/(6*sqrt(27)\/sqrt(3) + sqrt(9)).\nAnswer: -50*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l - 2. Suppose -p + 2*p - 4 = 0. Let u(k) = -4*k + 1. Suppose 10 = 5*j - 5. Determine j*c(o) + p*u(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298246959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1369.9\nAnswer: -410.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1 = 4*u - 1, 2*f - 13 = -3*u. Suppose t + 3*t - 9 = -v, -2*t = -f*v - 12. Calculate the remainder when 31 is divided by (-32)\/(-3) + v\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -182 - 157*n + 182 + 475*n in the form i*n + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 15 + 2*i - 10*i**2 to l*i + c*i**2 + k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 7*c + 6. Let a be p(-5). Is (6\/(-9))\/(a\/9714) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 4) + (9 - 1). Let m be (-6)\/12 + 2\/w. Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o**2 - 33*o + 19. Let a(g) = 4*g**2 - 8*g + 5. Let j(c) = 9*a(c) - 2*h(c). Let r(l) = 7*l**2 - 5*l + 7. Give 6*j(i) - 7*r(i).\nAnswer: -i**2 - i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2 + 2 + 5\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 339535 + 2*k - 5*k**3 - 6*k - 5*k**4 + 2*k**2 - 339534 to y + l*k + h*k**2 + w*k**4 + i*k**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7076 + -7058. What is the biggest value in 12, -1\/9, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 - v**2 - 3*v**2. Let s(r) = -9*r**2 + 3*r. Let u(p) = -5*p - 4*p - 9*p**2 + 26*p**2 + 4*p. Let z(o) = -5*s(o) - 3*u(o). Calculate z(c(a)).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 367181280 or 1?\nAnswer: 367181280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = 37*p + 9*p + 340 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - i)*(-1 - 6*i + 0*i + 4*i) as m*i + x + w*i**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by -1732463\nAnswer: -59\/1732463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.7741634 rounded to 2 dps?\nAnswer: 20.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 32854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let v = z - 5. Let n = v + 3.5. Sort -1\/3, 0.1, n in descending order.\nAnswer: n, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = 6*p, -4*d + p + 2040 = 0. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + (sqrt(700) - (4*sqrt(700) + -5 - sqrt(700)) - sqrt(700)))**2 + 4.\nAnswer: -200*sqrt(7) + 2829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - w. Suppose 0 = 6*p - 12*p - 30. Let k(f) = 8*f**2 + 9*f. Let a(g) = -12*g**2 - 13*g. Let x(h) = p*a(h) - 7*k(h). Give 4*c(s) + 2*x(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 15141?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - 2\/(-4)*-2. Let t be (-1 + w\/(-4))*4. Let k = -9 - -9. Which is the closest to k? (a) 5 (b) t (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 569 = 5*q + 408, -5*v - 181 = q. Let x = -175 - q. Calculate the remainder when 164 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001786 rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 e when four letters picked without replacement from ueuefuzfuffcuueu?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4071 and 10281?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 629*b**2 + 26682*b + 4748. Give k(-264).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -78, -2, 2, -0.02, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -468 - -3277\/7. What is the second biggest value in -2\/3, b, -15, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45412.\nAnswer: 2, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 44555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9 + 50 + 16*f + 10*f**2 - 9*f**2. Let u be z(-13). Solve -u*j + 4*c - 27 = -5*j, -5*j + c + 22 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**4\/5 - 24444*n**3\/5 - 48876*n**2\/5 - 24436*n\/5 = 0.\nAnswer: -6109, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*r**3 - 55\/3*r**2 + 307\/3*r - 140\/3 = 0. Calculate r.\nAnswer: 1\/2, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101001 - -10001?\nAnswer: 1101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -3*q + 2*h - 3*h, -2*h = 10. Suppose y = 49*y - 912. What is the remainder when q is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 3*o - 3. Let u = -18 - -23. Suppose u*n = 9*n. Suppose 3*d = -n*d - 6. Determine c(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {p: 1, s: 1, d: 1, g: 4, j: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*k - 70*k - 74*k - 99*k - 8*k**2 + 6*k**2 + 65*k.\nAnswer: -2*k**2 - 274*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 6) + 1 + (-2269)\/11. Let b be 4\/(-1)*(13325\/(-20))\/(-13). Let m = b - d. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 6637*q + 5 = 6642*q, 4*q = -3*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.704 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3 - 1)\/((-1233)\/(-2877)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 3*n**5\/20 - 7*n**4\/8 - 7*n**3\/2 - 12*n**2. Let p(m) = m**2 - 2*m - 2. What is -21*p(l) + 2*x(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*g**3 - 198865*g**2 - 2529584*g + 738972.\nAnswer: (g - 28422)*(g + 13)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n + 52. What is u(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 l, and 1 p when three letters picked without replacement from ldlpd.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 964960 and 3848?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 42*i - 180.\nAnswer: -2*(i + 6)*(i + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2060506, 4121013, 6181524, 8242039, 10302558, 12363081?\nAnswer: 14423608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 3095*j**9\/504 + 115*j**5\/2 + 1808*j**2. Find the third derivative of w(m) wrt m.\nAnswer: 371400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**12*(u\/((u*u**(6\/7)\/u*u)\/u))\/u*u**(2\/41))**(-5) assuming u is positive.\nAnswer: u**(-33280\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 65, -5, 317, 14 in decreasing order.\nAnswer: 317, 65, 14, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.499998. Round z to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 0*p**3 - 14 + 8*p**2 + 2*p**3 - p**3 + 19*p - 10*p**2 - 17*p**2. Determine z(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/(6\/9). Let l(u) = -87*u - 45*u**w + 4 + 87*u. Let b(h) = 45*h**2 - 5. Let y(j) = -6*b(j) - 5*l(j). Find the first derivative of y(q) wrt q.\nAnswer: -90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -22. Sort -1, 1, v in increasing order.\nAnswer: -1, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 47 + 30)*(1 - 6 + 3)*(-5*n**2 + n**2 + 3*n**2).\nAnswer: 98*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 46.1 * -44\nAnswer: -2028.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7354 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {p: 5, m: 5, i: 8}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 3880 + 5822 = 0. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 1) + 0 + 185. Let f = -107 + i. Suppose y + f = 5*a, 0*a + 2*a + 2*y - 32 = 0. What is the remainder when 47 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -7\/52 (b) 1 (c) 3\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3363 - -3362. Let a = -13 - -14.5. Let k = -2.5 - a. What is the closest to j in k, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -726, -715, -704, -693, -682?\n\"Answer: 11*c - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 53*f + 32. Let d be p(26). Suppose -d*u + 333 - 99 = 0. Let r = -11 + 25. Calculate the remainder when u is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - 2.02977160231.\nAnswer: -1.95977160231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 842 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4*w**3 - 11795314*f**4 - 17604698*f**2*w**3 wrt f.\nAnswer: -24*f*w**3 - 283087536*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 125, -101, -1\/3, 0.1, -9 in descending order.\nAnswer: 125, 2, 0.1, -1\/3, -9, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 19 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.80302l to millilitres.\nAnswer: 5803.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 18122 = -15*h + 18950. Is h != 2318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*k - 4*m = -55*k + 34440, 5*m = -10. What is the smallest common multiple of k and 16?\nAnswer: 8608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*l*m**2 - 23*l*m*z + 57*l*z**2 + 7*m**2*z**2 - z**2 - 2*z wrt z?\nAnswer: 114*l + 14*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1175, 3, 4, -3, 1 in decreasing order.\nAnswer: 1175, 4, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109 * -0.1.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1253*w**2. Let a(c) = -c. Give a(k(l)).\nAnswer: -1253*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-302)\/(-34) + 280\/68.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4482545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.08 + 12. What is s rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3383782.5063 and -1.049.\nAnswer: 3383781.4573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 3:59 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + y)*(-2 - 2 + 1) - y - 3 + 3 + (2 - 2 - 1)*(2*y - 3*y + 3*y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 24552322?\nAnswer: 24552321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 5, l: 7}. Give prob of sequence dll.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) - (-16)\/12. Suppose 0*i - y = j*i - 108, 5*i = -2*y + 270. Let v = 79 - i. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 336792 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -242*s**5\/5 - 52*s**4 - 3082*s. Find the third derivative of r(u) wrt u.\nAnswer: -5808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -2\/3 (c) -268 (d) 3 (e) 12 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9162\/42865?\nAnswer: 9162\/42865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - b**2 - 2*b + 3. Let y = 6 - 4. Let w be d(y). What is the highest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3491, -3473, -3417, -3305, -3119, -2841?\nAnswer: -2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 972\/810*(-20)\/9*3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-40)\/(((a**(-31)*a)\/a*a)\/a))\/((a*a**(4\/3))\/a)**29 assuming a is positive.\nAnswer: a**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let s(n) = -2*n - 24811. Determine s(j(h)).\nAnswer: 2*h - 24811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (58 + 1)*10 - 12. What is the highest common divisor of 493 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 25*v**2. Let c(l) = -198*l**2. Give a(c(w)).\nAnswer: 980100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*j + 5*j - 53, -5*j = 5*c - 215. Solve c*b = 37*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*i**3 + i**2 - 477*i**3 - i**2 + 1469*i**3 - 468*i**3.\nAnswer: 70*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -63, 1977 in descending order.\nAnswer: 1977, 3, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 8. Let j(m) = m - 7. Let a(v) = 6*j(v) - 5*t(v). Let b be a(4). What is the third derivative of 5*r + r**2 - 5*r + b*r**4 wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*u - 192 = 221*u. Solve 0 = -2*o + u*x - 10, -39*o + 43*o - 24 = -3*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -3\/4 (b) -3.65 (c) -2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 41 + 14)*(-12 + 12 - 7*w)*(w**2 + 3 - 3) as c*w**3 + v*w**2 + z + q*w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 34*t - 450. Let a(m) = m**3 + 6*m**2 - 10*m - 7. Let y be a(-7). Let x = y - -61. Calculate the greatest common factor of t and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {b: 3, n: 1, t: 1, x: 3, e: 2, o: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 19*p + 390. Is 77 a factor of f(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.465591 rounded to two dps?\nAnswer: 2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/2 of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1100? (a) 2\/13 (b) -0.13 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -8*w**4\/7 + 10200*w**3\/7 + 1458*w**2 + 2552*w\/7 = 0.\nAnswer: -1\/2, 0, 1276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000258325884 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 9 = 2*h + x, -12 = 4*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2567?\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -2 + -1)*-7. Let a(v) = -v + 8. Let y be a(p). Which is greater: y or 5\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 58856550\nAnswer: 1\/29428275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29a (base 16) to base 5.\nAnswer: -10131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -11 + -24 + 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 7*r - 2*r. Let q(u) = -3*u - 19. Let p be q(r). Is -3 + (p - 274)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 11*j + 9. Calculate x(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (-9 - 0)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 - 145122*g**3 + 13*g**2 - 17419*g**3 - 4*g**2.\nAnswer: -162541*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 - 2*x - 3. Let h be y(-3). Suppose -8 = -2*s, -s + h = 5*v + 3*s. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1225860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 21*f. Let i(k) = -2*k**2 + 14. What is c(i(j))?\nAnswer: -42*j**2 + 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + 8. Let x be 48\/10 - t\/8. Let q = 0.3 + 0.2. Which is the smallest value? (a) x (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 21*w + 8. Does 23 divide j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -11*a**5 + 145*a**4 + 931*a**3 - 10173*a**2 + 10728*a - 1620 = 0.\nAnswer: -9, 2\/11, 1, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*2\/10*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*p**2 + 41*p**2 - 22*p**2 - 14*p**2.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*o + 1421. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:27 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - z + 3*z + 3*z + 2*z - 4*z + (-1 + 2 + 1)*(-2 + 2*z + 2) - 2*z + 3*z - 2*z + (6 - 6 + 8)*(2*z - 2*z - z) + 2*z + 2 - 2.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f - 2. Suppose 0 = -f*u + 7*u - 395. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m - 4*m - 16*m**2 to the form u*m**2 + v + x*m and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/89 in -14, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 1:04 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8 + (-2)\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74524 + -74519.0023. Let c = 0.0023 + a. What is the closest to -2\/5 in 0, -3, -1, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 3*r**3 - 2*r**4 + 12*r**2 + 14*r**2 + 51 - 30*r**2 - r**3 - 49 as n*r**2 + w*r + f*r**3 + x + v*r**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-91)\/28 - -3 - (-34)\/8. Let m = 4 + -2. Suppose -h - m = -0, h - 1 = -3*k. Solve -n = 4*q - 5*s + k, -2*s = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -16. Suppose -4 - j = -5*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2983 and -0.8.\nAnswer: -0.5017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 208b (base 12) in base 9?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 2*u + 0*u + 0*u. Let v(l) = -4*l - 121*l + 46*l - 83*l. Calculate k(v(m)).\nAnswer: -162*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1152 and -20\/63.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181561 is divided by 1054.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 55. Suppose -2*m + 1308 = t, -t - 3074 = -r*m - 446. List the prime factors of m.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902809459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*s = 5, t + 4*t - 5*s = 5. Suppose -m = -t - 4. Let o = -13 - -24. Calculate the remainder when o is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + -2 - 0 - (-64 + (67 - 4)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksq when three letters picked without replacement from {q: 2, t: 1, s: 1, k: 5}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b + 13. What is the smallest common multiple of w(-2) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 12*f**5\/5 - 4*f**3\/3 + 7. Find the third derivative of h(k) wrt k.\nAnswer: 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4\/7 + 8340*k**3 - 212984833*k**2\/7 - 30432660*k - 53260804\/7.\nAnswer: -(k - 7298)**2*(2*k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.63 - 4.1. Let w = -12.8 - -12.23. Let p = c - w. Sort p, -0.5, 1\/5.\nAnswer: -0.5, p, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**2 - 398*o + 3156. Determine d(8).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 7:31 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose -c*g + 4 = -2*x, 2*g + 7*x = 3*x + 16. Suppose 0 = -2*h - g + 12. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 10*v = -6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a = -53656. Suppose a = 16*w + 22*w. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y + y - 3*y)*(1 + 0 - 3) + 2 - 2 - y + (0 - 4 + 2)*(y + y - 5*y))*(-2 + 6 - 12).\nAnswer: -56*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1347, 3\/4, -2.4.\nAnswer: -2.4, 3\/4, 1347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - u - 2*u - u - 3*u as r + p*u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -120*(-2 + 0 - 0). Let m = q + -227. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 844 + 12071. Suppose -3948 + f = -7*l. Is 53 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 11*g + 38. What are the prime factors of k(14)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d + 80. Let y = 64 - 29. Let t = -25 + y. Calculate the lowest common multiple of t and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 392\/1473 + -102191\/64812. Let g = -1\/44 + q. Let u = -1 + 2. What is the closest to 0.1 in g, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 9*d**2 - 11*d - 6. Let j be i(5). Suppose -j*q + 48*q = 9. Which is the nearest to -1? (a) -84\/11 (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 14154.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -47bb?\nAnswer: -47b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1256672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 25*q = -400. Is q a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 15*n**3 - n**3 + 15*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeaedeeeeee. What is prob of sequence ae?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13908539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*k. Solve u + k*u = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 7:04 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 28*j**2.\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -f. Let m = f - -4. Solve m*u = -12 + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6) - (sqrt(6) + sqrt(18)\/sqrt(3)))*-3)\/((sqrt(3) - (-3*sqrt(243) - sqrt(243))) + sqrt(3)))**2 + 2.\nAnswer: 1453\/722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -238905958*p**3 + 610608760 wrt p?\nAnswer: -716717874*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1412*w**5 - 2284*w wrt w.\nAnswer: 28240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*h - 10. Let m = 0 + h. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let r be q\/(1\/(-1 + 7)). Calculate the greatest common factor of 24 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 105*b**2 - 284*b + 477. Calculate m(55).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84289 is divided by 3511.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5809 + -153825.6.\nAnswer: -159634.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 14547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) + -2*sqrt(480) + sqrt(480) + sqrt(480))\/(sqrt(320)\/sqrt(2)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 14 = -4*b - b, 14 = -u + 4*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 9*o**2 + 12*o - 25. Let z be y(9). Suppose -j - 2 + 4 = 0. Suppose -z = -j*p + p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 8 - 20 = 0. Let k be q\/(-8)*(-2)\/(-19). Is k at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20011032132 - 2?\nAnswer: -20011032200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/144*(-2)\/16*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.33906 - -0.01094. Which is the fifth biggest value? (a) -0.2 (b) r (c) -3 (d) 5\/4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*r = 208*r + 103220. List the prime factors of r.\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-413)\/(-6) + 4\/(-12). Let z = i + -74. Calculate the common denominator of (-156)\/64 - (2 + -1) and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 - 6 = 0. Suppose 18 + 74 = u*p. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + (-19 - (-8 + -8 + -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, a: 3}. What is prob of picking 1 z and 3 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 8*a - 4000 = 0. What is the lowest common multiple of 240 and a?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-392)\/(-35))\/14 + (-17)\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.94 and -5?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/6 + 2)\/(9\/(-12)). Let f(y) = -y**3 + 6*y**2 + 7*y + 2. Let u be f(7). Let t be u - (j - -2) - 2. Solve -4 = 3*l - o, 20 = -5*l - t*o - 5*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/140 + u**4\/28 - 2*u**3\/21 - 8*u. Factor d(n).\nAnswer: n*(n - 1)*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**4 + 0*y**5 + 0*y**3 + 0 - 1\/10*y**6 + 2*y - y**2. Find the first derivative of r(t) wrt t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1727598*g**3 + 2*g**2 + 2*g + 1. Let z be p(-1). Suppose -3*h = -z + 341599. What is h rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2115 and 0.4?\nAnswer: 2115.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -15 (c) 1.48 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3\/2 (b) 0.2 (c) 294 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 760810643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001050318534 rounded to seven dps?\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695850771.\nAnswer: 3, 7, 11, 449, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/2)*(((q*((q*q**0)\/q)\/q)\/q)\/q)\/q*(q\/(q*q**(-1)))**20)**(-2\/119) assuming q is positive.\nAnswer: q**(-37\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-195)*-26 - (-12)\/(-15))\/((-2)\/100).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 278 = -21*n + 19*n, -3*c = 4*n - 236. Calculate the highest common factor of 27 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**3 - 9*j**2 + 8*j - 1. Let u(i) = 14*i**3 - 26*i**2 + 23*i - 3. Let h(z) = -11*k(z) + 4*u(z). Calculate h(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -278*r - 187*r - 1395. Suppose -t - 3*t = 5*a - 2, 0 = -5*a - 2*t + 6. Sort r, 3, a, -22 in ascending order.\nAnswer: -22, r, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/17, -0.4, -0.5, 0.6, 0.1 in descending order.\nAnswer: 4, 0.6, 2\/17, 0.1, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006818 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (57\/2)\/((-3)\/(-4)). Suppose 495 = -195*k + 200*k - 360. Calculate the greatest common divisor of k and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002 (base 7) to base 12\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, 1619, -66?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 282113877 times -1\nAnswer: -282113877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 5*f**2 + 2*f - 4. Let p be a(5). Let r be (-2 + 20\/6)*12. Let l(d) = -d + 20. Let t be l(r). Solve 4*x + t = p*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 1:29 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10) + (-765)\/(-225)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8521*v**3 + 45258*v**3 + 27410*v**3 + 111334*v**3.\nAnswer: 192523*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/8*1)\/((-1)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -6384*t**5 - 76784*t**4 - 150540*t**3 + 204984*t**2 - 51692*t - 1584 = 0.\nAnswer: -9, -4, -11\/399, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 - -117. Let v(x) = x**2 - x. Let c(y) = 8*y**2 + 0 - 2*y - 2 + 4. Let p(b) = c(b) - 4*v(b). Give p(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2 + 8. Suppose 0 = d*u + u + 4*n + 8, -2*n + 4 = 0. Let m be -2 + 6\/(-1 - u). Solve 4*k = -m*k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235 - -17. What is the highest common divisor of 42 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 12*q**2 - 5 + 6 - 37*q + 15 + 34*q in the form c*q**2 + b*q + o and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 3:53 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54974843 a multiple of 2815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -697430, -696554, -695678, -694802, -693926, -693050?\n\"Answer: 876*n - 698306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/15 + 21\/(-15). Let m be 5*p\/6*3. Let n(k) = k**3 + 5*k**2 + k + 5. Let v be n(m). Solve v*l = l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13225 - -0.23.\nAnswer: -13224.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 6*f - 6. Let g(b) = b**2 - 13*b - 13. Let j(x) = -6*g(x) + 13*k(x). Let h(o) = 9*o. What is h(j(c))?\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1608470 at most as big as -1608469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3952 and 85880.\nAnswer: 2232880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9 = 11. Let w(f) = -f**3 + 3*f**2 + 5*f - 3. Determine w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 6. What is v(10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -86, -0.3, -1, -2 in decreasing order.\nAnswer: -0.3, -1, -2, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/3 + 2*l**3 + l**2 - 56*l\/3 + 16 = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -27. Suppose 4*y = -2 - c. Let m(p) = p**2 + 2*p. Determine m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s + 177 = -46 - 209 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55783258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 88*b - 424. Give m(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*a = 213*a + 3878 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1252, 1191, 1130, 1069?\n\"Answer: -61*m + 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -11. Let u = b - 0. Let c = -8.9996 + u. What is c rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {v: 9, p: 2, z: 8}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 814 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117868 divided by -3008.\nAnswer: 29467\/752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 2. Let m be u(0). Suppose -2*j = -m*z - 28, -z - 1 - 2 = 0. Let c = 16 - j. Solve -k + 4 = 3*a - 0*k, -2*a - c*k = 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 252 + 4 + 0. Suppose 9*h + r + 1346 = 0. Let y = -99 - h. List the prime factors of y.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 10 + 1 + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -23*b**2 - 4*b - 3. Let l be t(-3). Let w = 361 + l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -282*i**3 - 6*i + 686*i**3 + 8*i + (3*i + 0*i - 4*i)*(-2*i + 2*i + 2*i**2) in the form t*i**2 + h*i + f*i**3 + c and give f.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 8\/7, -0.35, -4, 0?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13705 - 13705.1. Which is the nearest to s? (a) 2 (b) -11 (c) 1 (d) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/11, 484, 0.4, -0.0635?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2690 and 833890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -5*x**5\/6 + 55*x**4\/8 - 15*x**3\/2 - 228*x**2. Suppose i(l) = 0. Calculate l.\nAnswer: 3\/10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315 - -310. Which is the nearest to -1? (a) -2 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -5cb?\nAnswer: -5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**1*c))\/c**6*(c\/((c\/(c\/((c*c*c\/c**(-2\/7))\/c)))\/c))\/c**(-3))**(-38))**(-47) assuming c is positive.\nAnswer: c**(-53580\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m**2 + 2*m + 39. Let g be w(8). Let b = g - 631. Solve b = 6*x - 2 + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**3\/3 + 5*h**2 + 10*h + 4. Calculate the lowest common multiple of x(10) and 9 + (-2)\/(-2)*2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5573, 5566, 5559, 5552, 5545, 5538?\n\"Answer: -7*t + 5580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - -202210?\nAnswer: 202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v + 17. Let x be 11 + (-2 + 3 - 1). Let s(z) be the first derivative of -3*z**2\/2 - 6*z - 2. Determine x*s(y) + 4*t(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 35 = 9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Sort 3, z, -3\/10 in descending order.\nAnswer: z, 3, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 560\/(-7) + (-5)\/1. Let x = 83 + a. Let q(g) = -2*g**3 - g**2 - 5*g - 5. Is 4 a factor of q(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + l)*(0 + 2 + 3)*(-25 + 6 + 11)*(-2*l**4 + 3*l**4 - 2*l**4).\nAnswer: 40*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/12 - 4*m**3\/3 + m**2\/2 - 5*m + 3. Give b(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1a (base 14) in base 8?\nAnswer: -4204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359132127 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(j) = 180*j - 180. Let w be v(1). Let m(i) = 4*i**2 + 4*i + 3. Let x be m(-3). Solve 5*u + 33 = -4*b, 0*b - b - 5*u - x = w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24634, 24610, 24556, 24460, 24310, 24094, 23800?\n\"Answer: -2*c**3 - 3*c**2 - c + 24640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*i, 4*h + 9 - 33 = 4*i. Suppose -11 - 8 = -3*n + t, 0 = 2*n - h*t - 15. Let d = 56 + -53. Calculate the lowest common multiple of d and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 1 + 8)*(4 - 3 - 2)*(3*l + 0*l - 6*l) as i + h*l and give h.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.998 rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10266 and 354438?\nAnswer: 20911842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6477 = 899*o + 13301 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s - 3. Let o be d(-3). Suppose -o*u = -6, 0 = 3*j - 4*j - 3*u + 27. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*z + 8695 = -156*z - 6133 + 2480 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*t - 202*t + 3 + 92*t.\nAnswer: 48*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + x - 28, 153*i - 150*i = 3*x + 12 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, -48, -390, -1038, -2088?\nAnswer: -3636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 87*5\/105)*(-161)\/138?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + sqrt(2057) + 0 + sqrt(2057) - (sqrt(2057) + 5*-2*sqrt(2057)))**2.\nAnswer: -726*sqrt(17) + 248902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672)\/(sqrt(12) + (sqrt(12) - -1*sqrt(12)) - sqrt(12)))\/((5*sqrt(72))\/sqrt(9)))**2.\nAnswer: 7\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 198806251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 + -6562?\nAnswer: -6646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 2*f**3 + 3*f**2 - f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1218, 7067, 20602, 44913, 83090, 138223, 213402, 311717?\nAnswer: 436258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 2585604?\nAnswer: 12928020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - 50912.14\nAnswer: -50912.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(10\/(-5)))\/((-1)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -55*t + 1116. Determine c(20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6116.1900002 - 6116.14. Let r = -0.05 + t. What is r rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -210, -1741, -4338, -8007, -12754?\n\"Answer: -d**3 - 527*d**2 + 57*d + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13810470 - -11?\nAnswer: -13810459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-7)\/(-4))\/(171\/((-4303044)\/(-1631))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 328*t**2 - t - 566. Determine l(164).\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6448830 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 163*s**3 - 2*s**2 - 8*s - 24. Let n be c(8). What is n rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 25536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/2 - 1439*z\/2 - 479.\nAnswer: -(z + 479)*(3*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4876 divide 86774523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 11*s**2 + 3*s + 8. Let x be q(11). Suppose -44*h + x*h + 6 = 0. Suppose 13 = h*w + 13. Solve w*g + 5 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51025220 (base 6) to base 10\nAnswer: 1450092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -16*i**4 + 7*i**2 + 7*i - 13. Let q = 31 + -38. Let v(p) = -11*p**4 + 5*p**2 + 5*p - 9. Let f(j) = q*v(j) + 5*z(j). Differentiate f(x) wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*j + 7*j. Let v be (-9)\/3 + -3 + -6. Let m be (v\/5)\/(j\/(-15)). Calculate the highest common factor of m and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = k + 4*v, -3*v - 204 = 3*k - 6*k. Suppose -72*t - 9 = -k*t. Let b(c) = -3*c**2 - 3*c**3 - 15*c + 2*c**3 + 14*c. Calculate b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 0)\/((-5)\/50). Let y = -28 + m. What is the derivative of -6 + 152*l**y - 4 - 145*l**2 - 3 wrt l?\nAnswer: 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35, 80, -0.5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**7\/2520 + c**6\/1080 - c**3\/3 + 6*c. Let g(i) be the second derivative of w(i). Factor g(n).\nAnswer: n**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4392231 and 2274?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11672300?\nAnswer: 2, 5, 151, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7537 + 64.7163. What is h rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 19*t**2 - 3 - t**2 + 5*t**2.\nAnswer: 23*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -215. Suppose -10*d - 569 = 632 + 469. Do s and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 362, 1763, 5592, 13073, 25430?\n\"Answer: 204*q**3 - 10*q**2 + 3*q + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -31*f**3. Give n(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = -3*c + 18, 4*j - c = -12. Let i = 11 - 12. Is i at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -5 - (-49 - -16)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.05 + -1.21. What is the third smallest value in -5\/4, 2\/7, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973505 is divided by 11483.\nAnswer: 8933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1385232 (base 14) to base 11.\nAnswer: 53848a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000064 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11099658 and 1422?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwww when four letters picked without replacement from {x: 5, w: 3, a: 4}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 4. Let d be q(2). Suppose -4*s + d*p = -30, 2 + 3 = 2*s + p. Let y(t) = -t**3 - 7*t + 9*t + 12*t**2 - 4 - 7*t**2. What is y(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 12 = -a, 6*a - 106865 = -z - 106852 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -288*t + 6. Let p be k(-1). Let r = 690 - p. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*b**3 + 2 - 6)*(16 - 36 - 19) in the form g*b**2 + k + l*b + v*b**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, -0.2, -2, 2258?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173097 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 12:47 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*30.43\nAnswer: -15.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/15365 and 25\/49?\nAnswer: 107555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 3)*(-3 - 6*a**3 + 3).\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 1113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 5*c**2 - c**2)*((-2 + 1 - 1)*(0 + 1 + 1) - 1 + 1 + 2 + 0 + 1 + 0).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/148 and -29\/10.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8542?\nAnswer: 2, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 7:42 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 820096 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1288\/230651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8174969 at most -8174980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + p - 4)*(5 - 5 + 3*p)*(-4 + 73804*p**2 - 64114*p**2 + 4) as m*p + n*p**2 + l*p**3 + q*p**4 + r and give q.\nAnswer: 29070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19713732 to three dps.\nAnswer: -0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69092*j - 4*p = -69088*j + 20, 2*p + 5 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -1161?\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 518*a + 19056. Give l(-38).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 2*m + 1. Let i be v(-1). What are the prime factors of (-865)\/i*(-32)\/40?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -597\/20 + 151\/5. Let t(v) = 3*v**3 + 40*v**2 + 13*v - 4. Let l be t(-13). What is the common denominator of g and l\/(-10) - (-556)\/160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1421280803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -4)\/((-2)\/(-6)). Let w = 3 - f. What is the third derivative of w*h**2 - 2*h**6 + 5*h**6 - 2*h**2 + h**6 wrt h?\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 8*w**2 + w + 2. Let t be x(-8). Let m = t + 10. Suppose -28 = -2*a - 5*f, -3*f = m*a - 0*f - 28. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2. Let i(k) = -193*k - 5334. Give i(y(r)).\nAnswer: -386*r**2 - 5334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 5*c**2 - 2*c + 2. Let v be m(5). Let w be (-8)\/(4\/v*-2). Let l(g) = g**2 + 7*g - 9. What is l(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1857659494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -15. Let j = 10 - 5. Is j less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-55)*15\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-6)*(-7)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 4*p**3\/3 + p**2\/2 + 2*p + 82. Give f(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4329 and 2105818.\nAnswer: 18952362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2424 and 42?\nAnswer: 16968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453 = 2*x - 5*x. Let i = x + 217. Suppose -3*f = 11*h - 7*h - 62, -92 = -4*f + 4*h. What is the greatest common divisor of i and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 27*z**3 + 37*z**2 - 37*z + 1. Give u(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199*g**2 + 14149*g - 14149*g)*(2*g + 4*g**3 - 2*g).\nAnswer: -796*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 252659041138.5 and 28?\nAnswer: 252659041110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:24 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/12463 and -93\/9064?\nAnswer: 99704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32284 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 119463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2862\/137376)\/(2\/(-9))?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -786781340 rounded to the nearest one million?\nAnswer: -787000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16*h - 561. Determine w(-36).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b - 47. Calculate j(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955207679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 2*y - 1. Let r be p(-1). Let k be 0\/(3*(-1)\/(-3)). Is r smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1478760 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**3*x + 19491010*r**3 - r**2 - 44*r*x - 2212*r - x + 2 wrt r?\nAnswer: -6*x + 116946060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77539\/17 + 10\/(-85) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 17988147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -433*y**2 + 2*y. Let d(j) = 59*j. Determine d(g(x)).\nAnswer: -25547*x**2 + 118*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487184?\nAnswer: 2, 3, 30983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*i + 17346 = 2*v - 163*i, 0 = -3*v + 2*i + 26020. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsexrfv. Give prob of sequence xxs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -25 (b) -4\/31 (c) -11 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-22) - 4536\/396.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(76\/(-40))*(-2)\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22045*a**3 - 45445*a**3 - 46035*a**3.\nAnswer: -69435*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.3 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -100*h - 721. Let x = 3 + -6. Let v = x - -1. What is the second smallest value in h, -15, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 3*d - 44. Determine p(-5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(52)\/sqrt(4)*5.\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 68.4117 kilometers?\nAnswer: 68411700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 45934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.29 - -0.01. Let u = -3.3 + 1.3. Let y = u - -3. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = -159*y - 150*y + 318*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 2832*i + 155376.\nAnswer: -3*(i - 996)*(i + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/10 (b) 0.2 (c) 2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 10 + 20. Let g be (-16)\/(-8) + (22 - k). Suppose -n + 45 = g. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, o: 3, i: 1, l: 6, f: 2, e: 3}. What is prob of picking 1 e and 1 f?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567 = -28251*x + 28272*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.55? (a) 0.085 (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 24*b + 14260. Give c(-108).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37920 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003090864198 to 6 decimal places.\nAnswer: 0.003091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let j(u) = 15*u**2 - 72. Determine c(j(f)).\nAnswer: 30*f**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-15)*3\/(-2). Let x be q + (-2)\/2 - (-12)\/(-28). Which is the closest to 1? (a) -4 (b) -6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {m: 5, u: 1, e: 1, y: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 12.9. Let u = 8.04 + -0.04. Let v = u - c. What is the third biggest value in -0.3, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654588 divided by -638?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*r**3 - 5968*r**2 + 0 + 2*r**6 + 5973*r**2 + 1 wrt r.\nAnswer: 240*r**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 46145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 10 + 57)*(-2 + 9 + 0)*(2*b**5 + b**5 - 5*b**5).\nAnswer: -1064*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2481 - 2495 - (1 + (-17 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 6 = -2*t, -3351*t + 5*h = -3346*t - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 388074965 + -478.5.\nAnswer: 388074486.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 3*f**3 - 2*f**3)*(-2 + 0 + 7)*(-2*f + 0*f + 11*f) - 4*f**4 + f**4 + f**4 + (-28*f - 38*f + 59*f)*(-2*f + f**3 + 2*f).\nAnswer: -54*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 55, 84, 117, 154, 195?\n\"Answer: 2*a**2 + 19*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/55)\/(h*h**(-2\/15)\/h))\/(h**3*h**(2\/9)) assuming h is positive.\nAnswer: h**(-1547\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751 (base 9) to base 8.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5444.623 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(-5*r + 9*r + 48*r) + (-3*r + 2*r + 2*r)*(2 - 1 + 1) - 7*r + 3*r - r.\nAnswer: 49*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**3*i)**(-3\/19)*(i*i**(-1\/7))**7 assuming i is positive.\nAnswer: i**(96\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -48, 3, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q - 3. Let v be n(-2). Suppose -3*t + v = -a, -4*t + t = 3*a - 33. Let y be (-3)\/a - 20\/(-8). Calculate the highest common factor of y and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5987 = 4*d, 0 = 3*d + 4*o + 1092 - 5568. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 2*j**2 + 421*j**3 - 2*j**2 + 2*j**2.\nAnswer: 421*j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + (-17 - -23) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4728659 years to millennia.\nAnswer: 0.0004728659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1*sqrt(275)*-3)**2 + -1*sqrt(275) + -3 - -6*(sqrt(275) + -1)*5) + 3.\nAnswer: 145*sqrt(11) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + q**2 - 2*q - 1. Suppose -19*x + 22*x - 9 = 0. Give z(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + v = -154, 10*v - 13*v = 3*s + 111. Let b(t) = t. Let w(m) = -6*m. Give s*b(j) - 6*w(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - k - 1. Let n be d(-1). Suppose 2 = -n*f + 5. Let x(o) be the second derivative of -o**4\/6 + 6*o. Determine x(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4706928006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3479624 or -3479605?\nAnswer: -3479624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27563 + -4?\nAnswer: 2755f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 40, 107, 204?\n\"Answer: 15*f**2 - 8*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -a + 100, -a - h = 2*h - 98. Suppose 0 = k + 5*v - 15 - 11, -a = -2*k + 3*v. Let r = -32 + k. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/n**(-20))*n)\/n**0)\/(n\/(n*n**(3\/8)\/n*n)*n**18))**(-31) assuming n is positive.\nAnswer: n**(9331\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -3*u**5\/5 + 147*u**4\/2 - 2497*u**3 + 7056*u**2 - 6912*u + 153. Factor s(t).\nAnswer: -3*(t - 48)**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 718, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139344522134228 + 0.04?\nAnswer: 139344522134228.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7433, 7432, 7429, 7424, 7417?\n\"Answer: -i**2 + 2*i + 7432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-9625)\/(-50))\/(-55)*4\/(-49)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 2:49 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 7*z - 2*z + 22, 5*z + 4 = -2*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 18958 = -628*r + 630*r, -37956 = -4*r + 4*f. List the prime factors of r.\nAnswer: 5, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (-596)\/(-390) - ((-594)\/(-234) + -3)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 1. Let a(p) = 3*p + 1. Let b(x) = a(x) - 2*h(x). Let s be b(0). What is the tens digit of (-5)\/(-2*s\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 82*o**2 - 1345*o + 78. Give p(96).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 267700174?\nAnswer: -267700202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 14*r - 58. Calculate q(22).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*c**3 + 1584657*c**2 - 387299122*c?\nAnswer: -228*c + 3169314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 2*w**2 - 8*w - 4. Calculate b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/(-3))\/((-18)\/27). Let o = z - 17. Let f be -5*(2 - -1)\/o. Solve m + 3*m = r + 16, 0 = -2*r - m - f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 314 + 3.85.\nAnswer: 317.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/61 and 752\/(-658) + (-368)\/21.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 372239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**3\/q)\/q))\/(q*(q*q**(-2\/7))\/q))**(-6\/11) assuming q is positive.\nAnswer: q**(30\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*p + 4*m, -3*p - 2*p - 4*m + 96 = 0. Suppose p*b = 17*b. Suppose 5*v + q - 3 = 14, -2*v + 2*q + 2 = b. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and ((-1)\/((-14)\/(-203)))\/((-2)\/36)?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + 2 + (-4 - -11 - (-44 - -3))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q - 20*q - 15*q + (-3 - 1 + 2)*(5 + 1 - 3)*(q - 2*q - q).\nAnswer: -29*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -128c5 (base 14) in base 15?\nAnswer: -d7d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 5*y + 15. Let r be w(-6). Let f = r + -16. Let i = 37 - 37. Which is the closest to i? (a) 0.1 (b) f (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31251 is divided by 7754?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11298220 divided by -564911.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17206.\nAnswer: 2, 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 7*i**3 - 6*i**3 - i + 9*i**3 as t*i + u*i**2 + g*i**3 + x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 7.8. Let k = t + -1.2. What is the nearest to 0 in -4, 2\/15, k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1130*p**4 + 3*p**2 + 5*p + 812.\nAnswer: 13560*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:33 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/200 and 71\/10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -18. Let x(n) = -n**2 - 7*n + 6. Let h be x(-4). What is the greatest common factor of q and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 61463*k - 61463*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-1\/5)*v**4)**(-41)\/((v**(-1\/4))**(5\/21)\/(v**(-2)*v*v*v**(-5))) assuming v is positive.\nAnswer: v**(-108839\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -6. Let w be -2 + 0\/(2*-1). Calculate the least common multiple of w\/(-3)*(-27)\/f and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 81, 4, 2\/33, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1415134810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59710 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: Expand (2 - 5 + 5)*(1 + 5*y - 1).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 - 11457*n + 506044 = 0. What is n?\nAnswer: -11501, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.13 (c) 0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Two letters picked without replacement from {i: 11, e: 1}. What is prob of picking 2 i?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*j**2 + 8*j - 8*j + 483*j**2 + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d + 6. Let m be z(4). Suppose 79 = c + 28. What is the greatest common divisor of c and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588605 is divided by 1521?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 702, 1355, 2010, 2667?\n\"Answer: m**2 + 650*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*(i*(i*i**4*i)\/i)\/i)**(-21)*((i**(-2\/11)\/i)\/(i\/i**(-1\/3)))**(-15\/2) assuming i is positive.\nAnswer: i**(2725\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3428564 (base 9) in base 16?\nAnswer: -1c3a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -71*y + 19. Let d(w) = 2*w + 1. Let m(b) = 4*d(b) + t(b). Let r be m(-12). Let o = 1943 + r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*x + 3*h + 34, -x + 5*h + 32 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 8050?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3695 to one dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*q + 4843*q**3 - 2294*q**3 + 10*q - 1231 - 1823 wrt q.\nAnswer: 7647*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 475 and 583775?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*o**2\/2 - 1805*o\/4 - 5163\/2.\nAnswer: -(o + 6)*(14*o + 1721)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 0.1 (b) 578 (c) -0.6 (d) -1\/10 (e) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(171) - sqrt(171))*-1)\/(sqrt(441) - sqrt(441)*2 - sqrt(441)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 1\/3*n**3 + 0 + 0*n**2 + 4*n. Let l(a) = a. Calculate h(l(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*h + 96, 4*f - 2*f - 180 = 2*h. Let t be (9 + f)*6\/8. Suppose -4*v + 211 - t = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 18*g - 10, 5*g + 0*g + 7 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -2*n + 6*n. Suppose 20*w - 2 - 98 = 0. Suppose 0*q = w*q + n. Is -3 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8392 = 35*d - 10*d - 155733. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616305670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -36) + (221 - 261 - 55)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:25 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**3 - 116*q**2 + 678*q - 73. Determine i(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -65*c**3\/3 - 170*c + 2. Let o(s) = 5*s**2 + 13. Let j(h) = 3*a(h) + 40*o(h). What is the first derivative of j(n) wrt n?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347250?\nAnswer: 2, 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/60 - y**3\/18 + 20*y. Factor p(r).\nAnswer: r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3)*y**14*y)\/((((y\/(((y\/((y**2\/y)\/y*y))\/y)\/y))\/y)\/y)\/y**(-1)))**49 assuming y is positive.\nAnswer: y**(1960\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 2. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(4*sqrt(7)) + -5.\nAnswer: -5 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 272*c + 274*c + 262, 4*f + 4*c = 256. Calculate the remainder when 139 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 45*j + 30. Let n be i(-23). Suppose 0 = -2*r + 3*v - 22731, 12*r = n*r - v - 56853. Round r to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 70.8, -4, -2\/13, 0.1.\nAnswer: -4, -2\/13, 0.1, 2, 70.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 11091.13.\nAnswer: 13309.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from lppqpppprprpl?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -63, -198, -423, -738, -1143?\n\"Answer: -45*i**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 1. Give m(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 895418, 3581653, 8058692, 14326535, 22385182, 32234633?\nAnswer: 43874888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 7*r = 15. Let z = r - -5. Let i be (-7)\/(-35) - 3\/3. Which is the closest to 2? (a) z (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*u + 3*u**3 - 204*u + 451*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 6. Suppose a = 3*r - 73, -5*r = z*a - 0 - 133. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24 - 0.15. Let p = 0.25 - s. Let y = p + -0.1586. Round y to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 + -1. Let q = 191 - u. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/24*(2 - 40\/30).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k + 0*k + 2*k)*(1 + k - 2*k + 0)*(2*k - 4 + 4).\nAnswer: 16*k**3 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13605 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 304421300 (base 6) in base 5?\nAnswer: 2321300432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 2. Suppose -d - 28 = -u + 3*u, 0 = -3*u + 4*d - 64. Let m = u - -19. Determine i(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3421?\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {s: 3, w: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1292 + 2109. Is 43 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -497a?\nAnswer: -497f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2745430 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-5 - ((-102)\/10 + 4)). Does 11 divide 167 + 1*(-11 - 1)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 11*d**2 - 3*d - 20. Give p(8).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 10)*(80*a**2 - 79*a**2 - 55*a**2 - 2*a**2 - 2*a**2 + 3*a**2 - 2 - a**2 + 2 + (a**2 + 2*a**2 - 4*a**2)*(-1 + 4 - 1) + 0 - 3*a**2 + 0).\nAnswer: -610*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2. Let i = 34 + -17. Let l(x) = 17*x + 38*x**2 - i*x. What is k(l(j))?\nAnswer: -2888*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -480 >= 5480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 35. Suppose -d + 6 = 3*u, -3*u + 2 + 4 = 5*d. Let w be r(d). Solve -5*x = -5*s + w, x = -2*s - 4*x - 21 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**3\/9 - 26*l**2\/9 + 4*l\/3.\nAnswer: -2*l*(l + 3)*(5*l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -41, -48, -55, -62?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvclctlllllcclct. What is prob of sequence vc?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 50 = -7*m. What is the smallest common multiple of 5 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -8099?\nAnswer: 2429.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5174, 5555, 5946, 6353, 6782, 7239, 7730?\n\"Answer: x**3 - x**2 + 377*x + 4797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-24)*-2*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 38475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*u - 408919 = 0, 2*a + 136297 = 3*a + 3*u. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + d + 7 = 0, 5*a + d - 16 = -d. Let o = -2547 + 2547. Suppose -2*u = -5*k - 9284, o*k + a*k = u - 4641. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2196 + 4393\/2. Let p(w) be the second derivative of 0*w**2 + 2*w + 0*w**4 + a*w**3 + 0 + 9\/20*w**5. Find the second derivative of p(x) wrt x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.1*-207189\nAnswer: 20718.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d - 206 = -29 + 73 - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*x + 4, -5*x - 5*c = -2*c - 5. Let k be (11\/1)\/(2 - x). Let b = -8 + k. Solve 0 = b*i - 3 - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eenn when four letters picked without replacement from {d: 2, e: 4, n: 3, o: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-12) - 34\/(-6). Let f be 15\/(-10)*(-16)\/3. Solve -d - 9 = x*a - 1, -f = -4*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22318202, 44636395, 66954564, 89272697, 111590782, 133908807, 156226760?\n\"Answer: -2*w**3 + 22318207*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 2*b**2 - 5*b + 3. Let r be p(4). Find the common denominator of (-10)\/(-8)*(-118)\/10 and ((-10)\/r)\/((-40)\/126).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from pwwbywbbwby?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-108)*592\/(-962))\/((-1)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 8 - 24. Calculate the smallest common multiple of j and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 23 = -8. Let y be (6\/(-15))\/((5 + w)\/(-20)). Suppose 0*b - 331 = -2*b - a, 2*a + 658 = y*b. List the prime factors of b.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - -2.3. Let d be 6\/(-15) - 698\/(-1720). Let u = -353\/1548 + d. Put u, 1, h in increasing order.\nAnswer: u, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5\/7 + 10121*q**4\/7 - 111456*q**3\/7 - 40484*q**2\/7 + 445808*q\/7 = 0 for q.\nAnswer: -10132, -2, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1218 divide 42197610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*v - 396891, v - 20*d = -22*d + 132281. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25682, -51359, -77022, -102665, -128282, -153867?\n\"Answer: y**3 + y**2 - 25687*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 9*h. Let n be u(-5). Let r be n\/9 + (-24)\/108. Suppose -d - 5*f + 31 = 2*d, -r*f + 8 = -d. Solve -d*p = -5*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 2*l + 4*l)*(-3*l**4 - 2*l**4 + 3*l**4) + (l**5 - 2*l**5 - 2*l**5)*(-2 + 1 - 1) + (2*l**3 + 2*l - 2*l)*(-4*l**2 - 2*l**2 + 5*l**2).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/((-3)\/(-45)). Suppose -3*k + 8 = -19. Let q = k - 6. Sort q, z, -14 in decreasing order.\nAnswer: z, q, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56*0.07869047\nAnswer: -4.40666632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 295317502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/592*2\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47290260 a multiple of 1065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.094396 - 8.\nAnswer: -2.905604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1 + (0 + 1)*-2. Suppose 2*l = 5*t - 4, -t = 3*l - w*l + 6. Let a be (-4)\/(-6)*(-6)\/(-4)*t. Solve a = m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1528 and 28?\nAnswer: 10696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313800 minus -1748797?\nAnswer: 6062597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 5, 19, 59, 137, 265, 455?\n\"Answer: 2*q**3 - 5*q**2 + q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*i + 4*z - 48, -i + 2*z - 22 = 0. Let h = i + 14. Let s be (-2 - 0) + 4\/h. Which is the nearest to s? (a) 1 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28139 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/15)\/h**(-3))\/(h\/h**(2\/3))**35)**(6\/35) assuming h is positive.\nAnswer: h**(-264\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 6*k + 10*k = 0, 3*x + 12 = 2*k + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 4 = -4*v, 5*t - 4*v = -28. Suppose 2*n = -2*f - 28, 4*n + 24 = 4*f - 0*f. Is n equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 33, -193, -543, -1035, -1687, -2517?\nAnswer: -3543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1404, -1421, -1444, -1479, -1532, -1609?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.719437 kilograms?\nAnswer: 9719437000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2589336 or 0.022?\nAnswer: -2589336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 193245078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180376723*n**3*r**2 - n**2*r**2 + 2163*n**2 - n*r**2 + 20*n*r - 118*r wrt n.\nAnswer: -1082260338*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnniini. What is prob of sequence ii?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 5, -561, -3, 0.4 in descending order.\nAnswer: 5, 0.9, 0.4, -3, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f**4 - 9*f**4 + 16*f**4)*(81 + 180 + 17).\nAnswer: -556*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -27839365*x. Let f(b) = b**2. What is l(f(q))?\nAnswer: -27839365*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 444085*0.1\nAnswer: 44408.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:54 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(sqrt(343) + 0) - sqrt(343)*1*6).\nAnswer: -84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -85*u**4 + 25*u**3 + 35*u - 25. Let m(b) = 7*b**4 - 2*b**3 - 3*b + 2. Let t(g) = -25*m(g) - 2*p(g). Find the second derivative of t(i) wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-112) + (-46)\/(-14). Let p(d) = 4*d + 4. Let f(h) = -1. Give b*f(l) + p(l).\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 125*i**2 + 18*i + 28. Let j(m) = 126*m**2 + 13*m + 28. Let h(b) = -3*j(b) + 2*u(b). What is the second derivative of h(d) wrt d?\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/7 (b) 0.17 (c) 1\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/i**(-2\/11))\/i)\/(i\/i**(-19)*i*i))**(-16\/3))**42 assuming i is positive.\nAnswer: i**(51296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 1. Let l be z(0). Let f be (9 - (-1962)\/(-234))*(-2)\/8. Which is the third smallest value? (a) l (b) f (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 119 = -9*m + 14*m, 12 = -4*f. Suppose -5*n - 5*d + 1186 = -149, 509 = 2*n - 3*d. Calculate the smallest common multiple of m and n.\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16134, -16139, -16146, -16155?\n\"Answer: -a**2 - 2*a - 16131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*3)\/sqrt(11))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20287\/319 + -706\/11. Let g = -33\/290 + n. Calculate the common denominator of 2\/7*8\/1 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163209067 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*t + 37, t = y - 6*y + 15. Suppose -2*d + 1 = -7. Calculate the greatest common divisor of d and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -2876 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 z when four letters picked without replacement from zzszzzlzzlslcl?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/5)\/((102\/(-30))\/17). Suppose d + a*l + 9 = -4, 13 = 4*d - l. Solve -n - 13 = -d*g, 0 = -4*n - 3*g + 4*g - 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.004373m in kilometers?\nAnswer: 0.009004373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64300.\nAnswer: 2, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 7*d**2 - 3*d - 24. Calculate n(-8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -85 - -5381?\nAnswer: 52c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 1 (c) 1\/16 (d) -45966\/7 (e) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-15 + 6)) + -1 + 0 + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16636, -16643, -16678, -16759, -16904?\n\"Answer: -3*p**3 + 4*p**2 + 2*p - 16639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i. Let s be 4\/(-3)*21\/(-14). Let q(o) = -16*o**s + 8*o**2 - 2*o + 2*o. Calculate h(q(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -4)*(-75)\/(-30). Suppose 0 = -4*k + k + 48. Let b = k + r. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*y = -6*y - 64, -154 = -5*a + 2*y. Suppose -4*k = -6*k + a. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 73*t**3\/6 + t**2\/2 + t. Let h be q(-1). Let p = h + 233. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**3 - 2*n + 2*n)*(56 - 48 + 398 + 209 + 66) to the form f*n**3 + s + l*n + b*n**2 and give f.\nAnswer: 1362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 n when four letters picked without replacement from {m: 5, n: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1184 + -1182. Let z(u) be the first derivative of -2\/39*u**6 + 2\/65*u**5 + 0*u**j + 0*u + 3 - 2\/39*u**3 + 1\/13*u**4. Let z(i) = 0. What is i?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*v**2 - 9*v - 1 - 1 to the form w*v + p + i*v**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 23557000 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 15. Let v(q) = 4*q - 76. Let y(c) = 14*k(c) - 3*v(c). Let j(w) be the third derivative of -w**5\/30 + 101443*w**2. What is j(y(i))?\nAnswer: -8*i**2 - 144*i - 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**4\/6 - 5*h**3\/6 + 3*h**2\/2 + 13*h. Give u(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -10 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -3*w + 5*b, -4 = -2*b. Let z = 3 + w. Let -z*p**2 - p + 0*p**2 + 4*p = 0. Calculate p.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66158713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(1872) + sqrt(1872) - sqrt(1872)*-3*-2) + 4.\nAnswer: -84*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:37 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2206.40897 take away -499?\nAnswer: -1707.40897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391336 is divided by 2465?\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 358120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-1)\/((-1)\/(-2)). Let r be (-358)\/u + 1\/2. Suppose -60 = -3*y + 5*b, -y - 5*b - r = -6*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*q = 139*q - 102726. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 31 = 5*l - 37, 0 = -3*n - 6*l + 60. Let k(z) = z**2 - 3*z. Let i be k(6). Calculate the highest common factor of n and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p - p + 2*p + (0 + 1 + 0)*(-p - 2*p + 4*p) + 6*p - 3*p - p + 2*p - 3*p - 2*p + (-5 + 0 + 3)*(-5*p + 3*p + 4*p) - 3*p + 0*p + 2*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -152*g + 147*g + 1385. Calculate the greatest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -1. List the prime factors of (-18)\/(-3)*(-2)\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/134 and 18\/7.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - ((sqrt(720) + 0)**2 + 3) - sqrt(720)) + 5*(sqrt(720) + 2))*1.\nAnswer: -713 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 19 = r + z, -2*z - 23 = -r. Let k be (-2)\/4 + 105\/10. Suppose -3*j + 9 = 0, d + 3*j = -0*d + k. Solve 24 = 4*a - 3*h, 2*h + r = 2*a + d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 1310 - 886 = 0. Suppose -3*i + n = 2*r + 92, 5*i - 151 = -r. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 20, 3, -4, 0, -28 in ascending order.\nAnswer: -28, -4, -2, 0, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 116919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35221 + 35277. Solve 120 = 4*w + h*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 74*u. Let h(g) = -g**2. Calculate h(i(w)).\nAnswer: -w**4 - 148*w**3 - 5476*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2979274 to the nearest integer?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18900623 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: Evaluate 7 + -8 - (-5 - (-2 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 11:37 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjjyyjyyy. What is prob of picking 2 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (131 - 128) + -5 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231002524?\nAnswer: 2, 23, 509, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162783213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72248 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, -32\/7453, 4?\nAnswer: -32\/7453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -302.74255 + 303.44. What is o rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 9*h**2 - h - 3. Suppose -3*n = -x - 55, 5*n + 0*x - 93 = 3*x. What is the remainder when g(8) is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 - 2.1105. What is a rounded to 4 decimal places?\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3964*h**2 - 1988*h**2 + 29 - 1979*h**2.\nAnswer: -3*h**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + 6653*x + 482123. Give v(-75).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 120 = 3489*b - 3484*b, 20 = -2*b + 4*r for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231091207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -w + 88282, 3*l + 10*w = 13*w + 52980. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 224ba - -2?\nAnswer: 224bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19*d**3 + 19399*d**2 + 10*d - 10209. What is k(1021)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*w - 4*y - 25, 0 = 3*w - 3*y - 24. Suppose -t + 3*t - 10 = 0, -w*o - 2*t + 45 = 0. Suppose -2*n + o = -11. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*f - 4*c + 28, 4*f + 2*c - 26 = 0. Let b(d) = -4*d. Let n be b(2). Let m be 15\/f*n\/(-2). What is the highest common divisor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/3 + 318*a**2 + 24932*a\/3 + 28112 = 0. What is a?\nAnswer: -21, -4, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqcccqqccqcqqccqqc. What is prob of sequence qcc?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225) + sqrt(1225)*-3)*-1 + sqrt(1225))\/(sqrt(84)\/(2*sqrt(432))).\nAnswer: 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from mwweaeewaedeeaew.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**6\/120 + w**2 - 12*w + 9. Let h(i) = 2*i**3 - i**2 + i. Calculate -3*h(x) - 8*z(x).\nAnswer: 2*x**3 + 3*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:28 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/11 - 80*b**2\/11 - 874*b\/11 - 1444\/11.\nAnswer: -2*(b + 2)*(b + 19)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 388597 - 388390.103. Let d = h + -207. What is d rounded to 3 dps?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 69. Suppose f - 56 = -c. Suppose 4*d + 4*n - 28 = 0, -2*d = -3*d - 5*n + 11. Solve -c*y = -d*v + v - 1, -5*y + 5*v = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 88, 177, 300?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/170 and 11\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -845.9 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -20, -31, -58, -107, -184, -295, -446?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*h + 32. Suppose 0 = 3*o, 2*y + o - 26 = 26. Differentiate y - t - 21 + h*t**2 + t wrt t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eevevdvpsveepee. What is prob of picking 1 s, 1 e, and 1 d?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/18)\/(-14*(-2)\/84)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 + 1)*(3 - 2 + 1) + 0 - 1 + 0 + 2 - 4 + 1)*(4 - 5 - 1)*(3*q + 19*q - 9*q) in the form j + x*q and give x.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302496 is divided by 32562?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1124.9 * -14\nAnswer: 15748.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2 + 5*x**3 + 2. Let t be s(1). Find the second derivative of -d**2 - t*d + 2*d**4 + 5*d**2 - 4*d**2 wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 1115625027?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**3 - 11*a**2 - 9*a + 21. Let d(r) = -r**3 - r**2 - 3*r. Let z(o) = -5*d(o) + m(o). Is z(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9 - 5\/15. Let u be (8 + j)*(-1)\/1. Which is smaller: u or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 1086 = 268*f, -116 = -5*f + 4*f + 6*p - 14*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:29 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3556? (a) 3\/5 (b) -3 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 264, 577, 904, 1251, 1624, 2029?\n\"Answer: r**3 + r**2 + 303*r - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 - ((-22 + 2 - -1) + 2469 + -2469).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4212504, -4212501, -4212498, -4212495?\nAnswer: -4212492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 67417633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11960 + -1 + (-11 - -25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55800\/340 - -17 - 6\/51 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13782203, -27564384, -41346565?\nAnswer: -55128746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-68)\/16)\/(7\/112). Solve 3*j - z = 7*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496, 997, 1350, 1483, 1324, 801, -158?\nAnswer: -1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 0*s**3 - 3*s**3 + (2*s - 3*s - 2*s)*(5*s**2 - s**2 - 3*s**2) + (2 - 2 + s)*(3*s - s + 2*s)*(76 - 76 - 6*s).\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 + 181. Suppose 16*g - 20*g - 4*r + 36 = l, -4*g + 4*r = -4. Solve -k = 2*k + 4*n - 23, g = n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/496 and 3\/154916.\nAnswer: 19209584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 196 and -1349978.\nAnswer: -1349782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 799, 3362, 7641, 13642, 21371, 30834, 42037?\n\"Answer: r**3 + 852*r**2 - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (626698\/94)\/59 - 136.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/2)*y*y**14\/y*y*y)\/((y\/(y*y**(-7)))\/(y*y\/(y\/(y\/((y*(y*y*y*(y\/(y*y**(-24)*y))\/y)\/y)\/y))))) assuming y is positive.\nAnswer: y**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -14*k - 9. Calculate r(-7).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4 + 52*t - 7 to b*t + l and give b.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z**(-8)*z)*z))\/z*z**(5\/6))\/((z*z*z**3)\/(z*z**(-4))) assuming z is positive.\nAnswer: z**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z + 2932 - 73462. What are the prime factors of z?\nAnswer: 2, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 - g**5 - 30 + (-3*g**2 - 3*g**2 + 5*g**2)*(-17*g + 6*g - 4*g)*(9*g**2 + 8*g**2 - 10*g**2).\nAnswer: 104*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*n - 2849 = 2715 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, h: 9, x: 2}. Give prob of sequence xh.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.1 + -1.1. Let p = u - 4.04. Let t = -0.03997 - p. Round t to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12340.2169478 - 0.5.\nAnswer: 12339.7169478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4290 and 2872220.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 times -85.1749?\nAnswer: 4769.7944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862839216?\nAnswer: 2, 3, 17, 39163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4490.\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33824609010187 - -0.1?\nAnswer: 33824609010187.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -x + 59. What is the lowest common multiple of 3 and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(21)\/sqrt(3) + 5 + sqrt(77)\/(sqrt(33)\/sqrt(3)))*-4)**2 + -2).\nAnswer: 1692 + 640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = 0, q = -d + 3*d - 16. Let i = 6 + q. Find the third derivative of c**5 + 2*c**5 + 3*c**2 + i*c**2 wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.01471.\nAnswer: -0.02942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + ((sqrt(833)*-2)**2 - sqrt(833))) + 4 + 1*sqrt(833)*-3 + 5 + 4)*-3.\nAnswer: 42*sqrt(17) + 9957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(78\/1300)*48*(-7)\/(-70).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 78 + 171 - 57 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15316924\/(-206))\/226*((-6)\/14)\/3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 347 + -279.6. Let g = m + -67. Let k = -0.7 - -0.4. What is the nearest to k in -1\/7, g, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*o**4 - 598\/3*o + 217\/3*o**2 + 22\/3*o**3 - 529\/2.\nAnswer: (o - 3)*(o + 1)*(o + 23)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 4*o**2 + 2*o + 1. Let c(t) = -t**3 - 18*t**2 - 18*t - 15. Let d be c(-17). Give g(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191916 divided by -21324\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 20*y**2 + 21*y + 50. Let r be d(-21). Let h = -49 + r. Which is greater: h or 2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6292388732?\nAnswer: 2, 7, 7159, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/(5\/(-45)). Let v(g) = -g**3 + 7*g**2 - 9*g + 25. Let m be v(4). Let b = m - n. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.9 and 50837860787466.\nAnswer: 50837860787468.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from qcpqqqqcqpqqpnqpqqq?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 13 = 4*m - 0, 3*m = -5*n + 1. Let v = 32 - 31. Is n equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00829 + -902\nAnswer: -902.00829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from ilin?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 32, 9855, -1, -3 in descending order.\nAnswer: 9855, 32, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 10. Let g = y + 12. Is g greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(sqrt(15) - (sqrt(1500) + (1*sqrt(1500) - sqrt(1500))) - sqrt(2160)*-1)\/(sqrt(55)\/(sqrt(176)*-2)).\nAnswer: 1 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(4\/(-6))\/(2\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47284756?\nAnswer: 2, 1277, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, 25, 43, 61, 79?\n\"Answer: 18*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 13)*((-1011920)\/21080 + 48)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 + 17*i**2\/6 + 13*i\/2 + 3.\nAnswer: -(i - 6)*(i + 1)*(4*i + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*-9.6.\nAnswer: 441.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5*d*d**(2\/31)*d)**(-27)\/((d*d*d**1\/d)**(-32))**(-3) assuming d is positive.\nAnswer: d**(-11865\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1879.465 + -33.435. What is b rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 9*t**2 - 8*t. Calculate the lowest common multiple of 14 and r(10).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205055 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 3.5. Let f = 3 + k. Let d = -1.2 + f. Which is the second biggest value? (a) d (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let h be n(0). Suppose -1 - 14 = -3*k. Let t = k - h. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39514, 40908, 42316, 43744, 45198, 46684?\n\"Answer: q**3 + q**2 + 1384*q + 38128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 773 = 8*w - 773. Solve 3*r + 2*b + 11 = w, 87 = -4*r - 5*b + 84 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 11:59 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 10:14 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -133944 divided by 12\nAnswer: -11162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*c + c = -4, a + 2*c + 1 = 0. Let s = -2 - a. What is the lowest common multiple of (-14)\/(-4) - (-1)\/(-2) and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 1. Let o be m(-3). Let x = -23 + 27. What is the second biggest value in -5, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 13*p**2 + 183*p + 1861. Determine l(-10).\nAnswer: 3331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 15469135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 g, and 1 e when four letters picked without replacement from eegeeggoeoemeom?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 - 3*o**3 + 2*o**3 + (o**2 - 3*o**2 + 3*o**2)*(0 + 4*o - 3*o + 2) to the form f*o**2 + t + d*o + b*o**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5506494 + -1a?\nAnswer: 5506477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*z - 16 + 4, -2*d + 2*z = -12. Suppose c + 1 = -p + 8, 0 = -3*p - 2*c + 18. Suppose -5*k = -1 - p. Solve k = g + 2*w, d*g + 4*w + 4 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44\/2 - (2 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 50*v - 1255. What is a(34)?\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219710973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 29*d - 25. Let w(y) = -595*y + 510. Let s(a) = -102*n(a) - 5*w(a). Let r(g) = 8*g + 17. Let h(q) = -q - 2. Let v(p) = 51*h(p) + 6*r(p). Give v(s(j)).\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428023.\nAnswer: 428023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, -20, -0.2.\nAnswer: -20, -0.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/6308806 and -77\/37038?\nAnswer: 18926418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unnn when four letters picked without replacement from {n: 4, u: 10}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24054*h - 24050*h + 5*d - d = 180, -2*h - 3*d = -139 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 707, 1410, 2111, 2810, 3507?\n\"Answer: -a**2 + 706*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115329512 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -350*w**3 + 361*w**3 - 10 + 2. Let x(t) = 4*t**3 - 3. Calculate 3*v(f) - 8*x(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**3*v**3 + 24718*m**3*v**2 + 215*m**2*v**3 - 144*m*v**3 wrt m?\nAnswer: -6*v**3 + 148308*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 2*n**2 + n**2)*(29*n - 63*n + 71*n).\nAnswer: 111*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -214244\/6615 or -33?\nAnswer: -214244\/6615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 75*g - 1367. Give k(42).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*x + 47911*f**3 - 2*f**2 - 10*f*x + 174*f + 25 wrt f?\nAnswer: -12*f*x + 287466*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-2)*4\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 0.1, -0.69, 8?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-48)*-3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115.99929 - 116. What is p rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/3 + (-13)\/273*-7. Let y(d) = 6*d + 12. Give y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-3 + 1)\/(-2). Suppose -q + 0*h + 135 = 4*h, -5*q - 4*h + 627 = f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 + 3*y. Let g(a) = -14*a**2 - 8*a. Let b(l) = 3*g(l) + 8*z(l). Let k(w) = -4*w. What is b(k(f))?\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1975 is divided by 652?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*3\/36*4354\/933*(-8)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-16))\/((-75)\/301820) + 4. Let d = -1507 - g. What is the common denominator of 46\/15 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 36*r**2 + 35*r + 109. Does 3 divide v(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109769826?\nAnswer: 2, 3, 18294971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1565, 0.5?\nAnswer: -1565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-426)\/355*(-5)\/(-19)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 115, 106, 97?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 - 41 = 111*t - 98*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/i**(1\/15))\/i)\/(i**(-7)\/i)*i**(-6)\/(i*i**21))**(-49) assuming i is positive.\nAnswer: i**(14014\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285*l**4 - 51*l - 1108 + 53*l - 991 - 787*l**3 + 787*l**3 with respect to l.\nAnswer: -1140*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v + 1. Suppose 2*m = 4*m. Let s be 8 + -1*(m + 2). Suppose -2*l = 2*w + s, -2*l - 7 = -3*w + 3*l. Give t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.6 take away -0.0422958?\nAnswer: 515.6422958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -2 (c) -3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from titintnittiinci. Give prob of picking 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14298, -32653, -63244, -106071, -161134, -228433?\n\"Answer: -6118*w**2 - w - 8179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -196*w**3 - w**2 - 4*w - 4. Let r be g(-1). Let z = r - -56. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 83086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11205819 to the nearest integer?\nAnswer: 3348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283 = 290*a + 727 - 140 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -16*p**3 + 2*p**2 - 2*p - 5. Let r(z) = -65*z**3 + 9*z**2 - 9*z - 21. Let b(o) = -9*j(o) + 2*r(o). What is the derivative of b(k) wrt k?\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 722016 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 4*u + 1. Let n(a) = -a**2 - a + 1. What is g(b) - 3*n(b)?\nAnswer: 5*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002944 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111010100100010001 (base 2) to base 14.\nAnswer: -d0d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4 + 11897093*o**3 - 57418*o**2 - 1972*o wrt o?\nAnswer: -72*o + 71382558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9822 * 0.0425\nAnswer: 417.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/k**7*k\/(k\/k**(7\/2))*k*(k*k*(k**(-7)\/k*k)\/k)\/k)**(-7\/5) assuming k is positive.\nAnswer: k**(137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -5\/24*b**4 + 0 + 0*b + 0*b**3 - 1\/42*b**7 - 12*b**2 - 1\/4*b**5 - 1\/8*b**6. Suppose g(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468402763 to the power of 1\/3, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12337731 + 12337731 + 14*v**3.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -275.2 - -240. Let x = h - -32. Let f = -0.8 + x. Which is the third biggest value? (a) -3 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1435 (base 8) to base 9.\nAnswer: -1075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1375*d = -1381*d + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5, -2*t = -5*m + 19 - 4. Sort 5, m, -3981.\nAnswer: -3981, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 9*k**2 + 11*k - 6. What is the units digit of r(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 1. Let p(j) = 17. Let y(c) = -16. Let q(d) = -p(d) - y(d). Give n(r) - q(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 92?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -a + 9. Suppose -2*k + 0*k = -a. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.721984 micrograms in kilograms?\nAnswer: 0.000000009721984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*d = 4230*d - 258354 for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*1 + sqrt(7) + sqrt(7) + 4 + (-4*sqrt(56))\/sqrt(2).\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 6*z**2 + 5*z. Let n be h(-5). Let m = -51 + n. Solve 0 = 4*k - 4*b - 0*b - m, -3*k - 5*b + 10 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*h**2*r*u - 3*h**2*s*u + 687030*h**2*s - 2*h*s*u + 248*r*s - 15*s*u - 3250 wrt h.\nAnswer: -58*r*u - 6*s*u + 1374060*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2 and ((-48)\/72)\/((-1)\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693991 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278980.\nAnswer: 2, 5, 13, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2166, -2164, -2160, -2154?\nAnswer: -2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**3 - c - 4. Let g(l) = 3*l + 3*l - 12*l**3 - 5*l - 1 + 11*l**3 + 0. Determine -4*g(s) + z(s).\nAnswer: -s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 1 + 1)*(42*a + 372 - 372)*(0 + 0 - 1) + 3*a**2 + a - a.\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgnnninninbnbgn. What is prob of picking 1 n and 3 b?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 39)*(-9)\/((-45)\/(-2)). Let p = -15 - f. Let y = -31 - p. Is y greater than or equal to 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -4, 5, 4 in decreasing order.\nAnswer: 5, 4, -4, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3826 is divided by 1275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 30*z**2 - 45*z + 20.\nAnswer: -5*(z - 4)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28541900 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 149. Let n = -1616 - -1736.5. Let r = d + n. Put 4\/5, r, -0.3, -0.5 in decreasing order.\nAnswer: 4\/5, r, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 5*n**3 + 12*n - 88*n + 76*n + 19.\nAnswer: 3*n**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180 - -72. Let w = r - -2. Let x = -103 - w. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36342 and 43745?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 83*f + 2. Let o(x) = -59*x - 10. Let y(c) = -141*c - 24. Let l(w) = 12*o(w) - 5*y(w). What is u(l(h))?\nAnswer: -249*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 91*r**2 - 2*r + 1. Let x be y(2). Let j = -733 + x. Let d = -261 - j. List the prime factors of d.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 1004?\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 3010148?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 721 divide 55747720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -1. Let j = -1 + -3. Let n be 75\/(-110) + (-2)\/j. What is the closest to 1\/3 in -2\/5, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4763*w - 1 - 7 = 4764*w + 3*l, -4*l = 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.02996 and 5?\nAnswer: -55.1498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2829, -11737, -26637, -47523, -74389, -107229, -146037, -190807?\n\"Answer: h**3 - 3002*h**2 + 91*h + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + -2?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22716 + -68144\/3. Find m, given that v*m - 5\/3 + 1\/3*m**2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 708.\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2425*s**5 - s**4 - 37*s**3 + 11*s + 299461 wrt s.\nAnswer: -48500*s**3 - 12*s**2 - 222*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fe67 + 5?\nAnswer: -1fe62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1134 - 489. Suppose 0*n - u - 635 = -2*n, 0 = -2*n + 3*u + z. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -175*g = 3*l - 173*g + 53, g = 11*l + 16*l + 458 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 766\/1149*(-52)\/(-2) and 167\/900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 2, u: 2, f: 1, p: 1}. Give prob of sequence uvd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/16910 and 29\/10570?\nAnswer: 17873870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 727200 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkqqugqqkknn. What is prob of sequence qh?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mppipmmimp. What is prob of sequence pm?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -166.5 (b) -6 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170369182 is divided by 14816.\nAnswer: 14814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 7 - 5. Let v be (2*(-3)\/z)\/1. Let k be 14\/v*(-6)\/7. Solve 0*r - k = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(54))\/(1*sqrt(288) + sqrt(288))*4)**2.\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (592\/(-1221))\/((-40)\/75)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -31593927*m - 31593924*m + 63187859*m. Let r(v) = 4*v - 2*v - 20*v. Give r(h(b)).\nAnswer: -144*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 65*q - 5846. Determine r(90).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*a - 1339 - 870 - 2609 = -296 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51756\/1439 smaller than 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 17. Let u be ((-4)\/v)\/((-1)\/6). Let w be 3 - (u + -3 - -4)\/1. Solve -4*c = -r + 17, w = -r - 0 + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1, -3.8, -186, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2315*r**3 - 1284352*r**2 + 1284352*r**2 + (2*r**3 - r**3 + 0*r**3)*(-2 + 3 + 0).\nAnswer: 2316*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -4, -5, 1781, 3\/16, -0.4?\nAnswer: 1781","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -36 + 21 + 41 - 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 548404 = 5*p, 0 = 4*h + 44*p - 42*p - 731210. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524223 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105625317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6239, -6049, 4 in descending order.\nAnswer: 4, -6049, -6239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 3. Let x(g) = g**3 - 12*g**2 + 2*g + 27. Let c(n) = 6*j(n) + x(n). What is c(-4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 + 893*l**2 - 2*l + 607*l**2 + 112 - 109 to w*l + o*l**3 + m*l**2 + x and give m.\nAnswer: 1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 32 = 12*x. Calculate the remainder when 30 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 - 3*f + 3*f)*(-605*f + 106*f - 322*f - 352*f - 850*f - 656*f) to the form m + r*f + q*f**3 + t*f**2 and give q.\nAnswer: -5358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00192529581 to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/3 + 2*c**4\/3 - 32*c**3\/3 + 40*c**2\/3.\nAnswer: 2*c**2*(c - 2)**2*(c + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 23 = -98*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:10 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, 22, 79, 190, 373, 646, 1027?\n\"Answer: 3*r**3 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 54*t**3 + 106*t**2 + 10*t + 17. Let m(s) = -19*s**3 - 35*s**2 - 3*s - 6. Give 6*k(n) + 17*m(n).\nAnswer: n**3 + 41*n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, t: 9, c: 4}. What is prob of sequence ttt?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2360)\/4248)\/(25\/6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66604 and 44941049.\nAnswer: 179764196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 423800293 - -1.\nAnswer: 423800294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 8*u**2 + 9*u + 17. Determine y(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7986 to 2 decimal places.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6 - 10 - 12*n**2 + n**3 + 25 - 11. Let j be v(12). Which is the biggest value? (a) j (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82401028861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/16 + (0 - (-105)\/516). Let m = 80\/129 - u. Solve -4\/9*z**2 - 2\/9*z**5 - m*z + 0*z**4 + 8\/9*z**3 + 4\/9 = 0 for z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1)\/((11\/(22\/(-2)))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4831 = -5*h + t, 864 = -4*h + 3*t - 2992. Is -966 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89222092 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**2 - 14. Let o(i) = -2*i**2 - 15 + i**2 - i - 6*i**2. Let z(j) = 2*k(j) - 3*o(j). Is z(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111233 + 132013?\nAnswer: 303312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11340262 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 6:28 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {l: 1, e: 1, d: 2, n: 5, r: 1, w: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3937 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3011*l + 3007*l = -3*r - 8, -3*l - 121 = -34*r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhhf when four letters picked without replacement from {h: 3, f: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1853.41 rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1215900 and 264450?\nAnswer: 2143631700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 40*n**2 - 5*n - 4. Let o(t) = 4*t**2 + 1. Determine -4*o(x) - z(x).\nAnswer: -56*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -1\/6, -1\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*t - 76*t + 5*t**3)*(3 - 2*t - 3)*(-3*t + 2*t - 2*t).\nAnswer: 30*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - 3*sqrt(132))*-1 - sqrt(132))*3)\/(sqrt(3) + 1*sqrt(3)*3 - (sqrt(108) - (sqrt(108)*-2 + sqrt(108)))) + 4.\nAnswer: -3*sqrt(11)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0491 + -13.9109. Let b = y - -14. Let w = -0.34 + b. Sort -0.1, w, 5.\nAnswer: w, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 11 - 5 = 0. Let d(p) = 5*p + p**2 + 1 + p**3 - 8*p - p - 2. Calculate d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8284 + -189?\nAnswer: -8451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b - 14*b + 2*l - 88, 5*l - 20 = 0. Calculate the greatest common factor of 940 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281 + -159. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -643300 by -1838.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 9) in base 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001702 rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/7552 and -83\/11328.\nAnswer: 22656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272\/(-477)*3\/12*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 - n**5 + n**5 + (0 + 3*n**2 + 0)*(n**3 + n**2 - n**2 + (-4*n**2 + 4*n - 4*n)*(-131*n - 6128 + 6128)).\nAnswer: 1574*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, b: 1, u: 2}. What is prob of sequence dbd?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19940\/203388)\/((-3)\/34).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565332 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (137 - 142) + (15 - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-2)\/2)\/5)\/(12 - 11). Is q at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-5 + 11)) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3631291.43 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n - 108*n = -1051491. List the prime factors of n.\nAnswer: 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.99 or -7.4?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*m - 9 = 0, 2*d - 7*m = -3*m - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(3\/31))\/u**(-5\/2)*(u*u\/u**(-2\/77))\/(u\/(u\/(u\/u**37))) assuming u is positive.\nAnswer: u**(197783\/4774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + (-56)\/(-12). Let h(d) = c*d + 0*d + d. Let j(q) = 2*q. Determine h(j(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 203. Suppose h = -0*h. What is the remainder when z(h) is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437348 + 1565492 = 7*b. What is b rounded to the nearest one thousand?\nAnswer: 286000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10107*o**5 - o**4 - 8*o**2 + 1244.\nAnswer: 606420*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a\/(a\/a**(-4\/5))*a)**(-2\/39) assuming a is positive.\nAnswer: a**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6004 + -1097. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {o: 2, y: 1, q: 6, v: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 4 = -17*u. Suppose 0 = -u*j - 0*j - g - 8569, 17132 = -4*j + 4*g. Let k = j + 484. Round k to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/263 (b) 479 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 116838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 2*d + 5. Let b(i) = -i**2 - i + 2. Let y be (0 - -2)\/(-1) - -2. Let x = -2 - y. Let w = -4 - x. Calculate w*m(h) + 5*b(h).\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 10 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 45*t - 632. Give h(12).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668 - 4 = -6*h. What is the remainder when h is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {x: 13, t: 3, o: 1}?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 831550322 to the power of 1\/3, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1839, 1859, 1895, 1947, 2015, 2099, 2199?\nAnswer: 2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -16*n**2 - 314*n + 124. Let t be a(-20). Put 2\/15, t, 2\/33, -5\/6, -1\/5 in descending order.\nAnswer: t, 2\/15, 2\/33, -1\/5, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + f**3 - 6*f**2 - 5529*f - 2*f**3 + 2*f**3 + 5526*f - 2. Give b(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46446, -92466, -138498, -184536, -230574?\nAnswer: -276606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-3)\/((-12)\/56). Let u be (-1)\/(-1) - (i + -12). Let x be (-2 + 8)\/(-1 + u). Let t(z) = z**3 + 6*z**2 + 3*z + 9. Give t(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1)**(-42)*((g*g**0)\/g)**(-22\/5)*(g**(4\/3)*g*g*g**8)**(-31\/3) assuming g is positive.\nAnswer: g**(-1810\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 221956 and 4.\nAnswer: 221956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29254 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 69138.89cm?\nAnswer: 691.3889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1119 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*(4\/1 - -40). Suppose 4*y = 2*q + 138, -5*y + 2*q + 174 = -q. What is the highest common divisor of y and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325257127 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + 24*r**2 - 2*r - 12. Let j be x(-8). Solve -2*b + 6 + j = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87641 >= -87903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 158, 177?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48082 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 3*k**5\/10 - 5*k**3\/6 - 3*k**2\/2 - 2*k + 12. Let z(b) = 7*b**3 - 6*b - 4. Calculate 4*y(d) - 3*z(d).\nAnswer: 3*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345840717 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*r + 2534, -2*y - 6*r + 2*r + 1282 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*i = 42*i + 827 + 334. Solve 3*s = g + 1, 0 = 3*s - 4*s - 4*g + i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*f + 36. Solve f = -3*k + 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2039 greater than or equal to -2041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2178 and 12.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from fffhffffcffokfhkfffc?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 8*c**2 - 4*c - 5. Does 12 divide i(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 53267, 53320, 53383, 53462, 53563, 53692, 53855, 54058?\n\"Answer: p**3 - p**2 + 49*p + 53218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18856*l - 18806*l - 750 = 0 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*z - 7. Let p(u) = -u**3 + 4*u**2 - u + 9. Let b be p(z). Suppose 47 + 73 = b*w. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1660512 divided by -2824?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**8\/336 + 5*i**7\/168 - 7*i**6\/72 + i**5\/8 + 9*i**3\/2 - 27*i**2. Let b(h) be the first derivative of d(h). Factor b(t).\nAnswer: -5*t*(t - 3)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19555 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13473, 53725, 120757, 214569, 335161?\nAnswer: 482533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51111 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 1\/2*u**2 - 5\/24*u**4 + 3 + 0*u - 1\/3*u**3. Let j(y) be the second derivative of r(y). What is j(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + n + 1. Let v be s(0). Which is the closest to v? (a) 1\/3 (b) 0 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13147\/3 + 4382. Which is bigger: 13.27 or g?\nAnswer: 13.27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-5) - 54\/135\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 18*b - 10. What is the remainder when 34 is divided by u(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 + 2)*5\/(-10). Let k(t) = t**2 + 5*t + 1. Calculate the least common multiple of 10 and k(u).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*b + 55. Let u(y) = 4 - 9 - 5*y**3 - 4*y - 65*y**3 - b*y**3. Is u(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:29 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.42 - 0.12. Let g be -6 + 0 + 1 + 0. Sort y, -0.2, g.\nAnswer: g, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = -2*m - 5, 4*r + 4*m = 0. Suppose r*i + 5 = 15. Solve -t + 3 = -4*d + i, -4*t - 3*d = 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 33 + 50*n - 24*n + 3 + 4*n. Let r(q) = q + 1. Determine -f(c) + 36*r(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (748\/(-33))\/((1680\/(-45))\/(-28))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.846 + 0.046. Let h = m + 4. Let g = 8 + -12. What is the second smallest value in h, -5\/3, g?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3006*o**3 + 4368*o**3 - 1350*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -335, -502, -669, -836, -1003?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2833, 9873, 21605, 38029, 59145?\nAnswer: 84953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 23. Let r(n) = n + 11. Let i(k) = 9*r(k) - 4*u(k). What is i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 9. Let l be 0\/((-3)\/(-3)*2). Suppose x = -l*x. List the prime factors of s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275*v**3 - 25301*v**2*w**2 - 2*v*w + w**2 + 2*w - 255639 wrt v.\nAnswer: -1650*v - 50602*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 177954654?\nAnswer: 177954658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s + 63. Let l(p) = 2*p + 30. Determine -6*b(d) + 13*l(d).\nAnswer: 8*d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 5, n: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12 - 28 - 7 + 20 + 9. Let p(y) = y + 7. Give 5*f(t) - 4*p(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(13\/4)\/((g*g\/g**(-10))\/g))**(-43) assuming g is positive.\nAnswer: g**(1333\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 235572 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l + 2. Let n be r(6). Let c = -406\/9 - n. Factor -2\/9 + c*p**3 + 14\/9*p**2 + 4\/9*p.\nAnswer: 2*(p + 1)**2*(4*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**2 - 4358*r - 42654 wrt r.\nAnswer: -6*r - 4358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 7*w + 22, 4*d + 2*w = -4 - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3655005?\nAnswer: 3, 5, 139, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0098715589 to six dps.\nAnswer: 0.009872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -43. Suppose -5*l = -0*p - 4*p - 1395, 4*p - 869 = -z*l. Round l to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3 - 980*r**2 + 20093*r + 44114 = 0.\nAnswer: -2, 23, 959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*43\/1938 + 56\/238?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28419091?\nAnswer: 28419091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78237 or 812?\nAnswer: -78237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 a, and 2 g when four letters picked without replacement from {q: 7, f: 1, a: 5, g: 5}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, n: 5}. Give prob of picking 2 f.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*-7*16\/504.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + 3*r**3 + 0*r**3 - 10*r**3 - 16*r**3 + 28*r**3 + r**3 + r**3 - 3*r**3 + (r - r - r**2)*(0*r - 2*r + 3*r) + 6*r**3 - 3*r**3 - 2*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 8:51 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 713 (base 10) to base 13.\nAnswer: 42b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 723622649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 3. Let x be j(-7). Suppose -x*a = -6*a. Suppose -k + 4 = -a*k + q, 5*k - q = 8. Calculate the remainder when 2 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 117*d**2 - 2308*d + 8. Determine y(27).\nAnswer: 3302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*t + 5*s = 2, 0 = t - 5*s - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 56, 5, 15, -2, -5 in decreasing order.\nAnswer: 56, 15, 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 7. Let v be m(9). Let l = 2.95 - -0.05. Which is the nearest to 0.1? (a) l (b) 2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7. Let u(d) = -d**3 - d - 4. Let l be u(0). Let w = h - l. Solve -w*c = -6, 4*c + 0*c = g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 35*j - 52. Let l be q(2). Calculate the greatest common factor of 639 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.07, -1\/2, 3, 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**3\/6 - 8*n**2 - 3*n - 10. Let i(d) be the first derivative of m(d). Find the first derivative of i(k) wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*h - 5*h**3 - 3*h**3 + 9*h**3 - h**3 - h**3 + 3*h**3 + (-2 + 13*h + 2)*(h**2 + 2 - 2) in the form k*h**3 + y + v*h**2 + r*h and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f**2 - 1377*f + 3*f**4 - 18*f**3 + 9*f**2 + 3*f**5 + 1401*f = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 651, 667, 695, 735, 787, 851?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 9526 = -10*w. Suppose 3 = 4*g - w. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1)\/8*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 19. Let v = c - 1. Suppose -3012 = -v*b - b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -164, -161, -140, -95, -20, 91, 244?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3638777 is divided by 225?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.26026us in seconds?\nAnswer: 0.00007426026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/180*-57 + -4\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o**2 - o + 17*o**3 - 3 - 9 - 40*o**2 - 26*o**2.\nAnswer: 17*o**3 - 98*o**2 - o - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in seconds?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**(2\/5)*q)*q)**(-4\/13))**(-2\/29))**3 assuming q is positive.\nAnswer: q**(-48\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/90 - 984\/(-2700).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, n: 12, v: 1}. What is prob of picking 2 x?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*d**3 - 104*d**3 + 408*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 266d4 - -5a3?\nAnswer: 26c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8. Let l be (h - -3)\/((-3)\/(-30)). Suppose 10 + 0 = 4*m + 5*w, 0 = 3*m - 4*w - 23. What is the highest common factor of m and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e (base 16) to base 2.\nAnswer: -1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32697538?\nAnswer: 2, 101, 161869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 6)*(135 - 135 + 45*v).\nAnswer: -180*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 135 = -3*v. Let u be (-18)\/v + (-224)\/10. Let y = -2 - u. Solve -5*n - y = 5*q, -n + 5*q = 3 + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32.7 + 10.7. Let y = -0.02 - -0.024. Let n = 2.996 + y. Sort n, 1, l in increasing order.\nAnswer: l, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -164*x**3 - 41*x**3 + 189*x**2 - 202*x**2 in the form u + a*x**2 + z*x**3 + p*x and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 15) to base 4.\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 291*k - 286*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 26\/3*h**3 + 1\/3*h**4 + 9 - 26\/3*h - 28\/3*h**2 = 0. Calculate h.\nAnswer: -27, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 94, -1, 68 in decreasing order.\nAnswer: 94, 68, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * 18.058.\nAnswer: -2.88928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27243938 divided by -3?\nAnswer: -27243938\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**47\/((f**(-2)\/f)\/f))**(-1) assuming f is positive.\nAnswer: f**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-four fifths of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/2*5*26\/650\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 1) + 3 - (601 + -557)) + 1 + -5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43777?\nAnswer: 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(3\/(-27)*6\/(-4)). Suppose 3*o = 3*m + g, 3*o - o - 10 = 0. Let q be 2\/13 + 11\/(143\/24). Solve -20 = -q*n - m*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9741115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 4*l + 25. Suppose 3*s - y = -3*y + l, -5*y + 39 = 4*s. Suppose s*u + 20236 = 10*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*p + 8 + 28, -3*r - 4*p = -75. Let c = 23 - r. Suppose 2*k + 8 = c*m - 2, -9 = -m - k. Calculate the remainder when 12 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 102, 119, 48, -111, -358?\n\"Answer: -44*q**2 + 149*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9600 and 402000?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*l - 16 = 0, -a = -5*a - 2*l - 32. Let o = 24 - a. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*v + 2*f, -43*v + 2*f - 1 = -40*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1. Let n(l) = 4*l - 6. Let v(d) = -n(d) - 6*r(d). Let c(z) = -2*z**2. Determine c(v(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5106*c + 41066. What is z(8)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlndhdpnnpppddnpn. Give prob of sequence zn.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from ovzozttojzz.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 633 + -16?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.212 * -9.15\nAnswer: 1.9398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1529137\/2 + 764567. Let n = -894 - -11610\/13. What is the biggest value in -0.4, p, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8379 + -5180. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121329?\nAnswer: 3, 13, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 20 = 4*i, 3*i + 2420*r - 42 = 2426*r for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(539) + (sqrt(880)\/sqrt(5))**2.\nAnswer: 7*sqrt(11) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {c: 1, b: 2, p: 10, e: 1, i: 2, j: 2}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -906, -636, -366, -96, 174?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/42 + 50\/(-56)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 times 601.283?\nAnswer: 119054.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.63 + -21.53. Which is the nearest to y? (a) 0.5 (b) -1\/18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**0\/z))**(-1\/32)*(z*z**0)**(2\/5))**(-7) assuming z is positive.\nAnswer: z**(-189\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 234*s**3 + 208*s**2 - 208*s + 208. Let n(g) = -g**3 - g**2 + g - 1. Determine -1040*n(t) - 5*v(t).\nAnswer: -130*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18950986 and 4.\nAnswer: 37901972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -525401\nAnswer: 525401.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o + 187. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**3 + 733946665*l**2 - 13466942860102220*l + 6733471246564445.\nAnswer: -5*(l - 36697333)**2*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2*1\/2. Let b = 5 - n. Solve b*u = -3*j - 12, 2*j + 1 = -3*u - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:07 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 + 31*a - 51*a + 0*a**2 + 24*a = 0 for a.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 - 3*s + 3. Let n be z(2). What is the highest common divisor of 51 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1173 - -1180. Let j be (-4 + b)*(-4)\/(-30). Let 0*o + j - 2\/5*o**2 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or -2\/113?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7530 (base 15) to base 5\nAnswer: -1243140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -b, -4*z + 6*z + 2*b = 12. Let t(c) = 2*c + c**2 + 3*c - 2*c. Let i be t(7). What is the greatest common divisor of i and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**2 + 2*h**2 + h**2)*(-138*h**2 + 39*h**2 - 72*h**2) + 8*h**4 - 11 + 11 to the form f*h**3 + m*h**4 + y*h + d + j*h**2 and give m.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10*y - 29 + 11*y + 29. Let t be c(5). Solve -t*q = 12 + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1707, -5, 4, 16, 1 in ascending order.\nAnswer: -1707, -5, -3, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/66)\/(-72*(-1568)\/(-290304))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80914591 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -6. Calculate the least common multiple of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405 divided by -19725\nAnswer: -27\/1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 58. Find the common denominator of (-8)\/h - 251\/(-36) and -26\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-23))\/((-2)\/(-4)). Suppose -2 = d, o + d + 121 = -115. Let z = -235 - o. Which is greater: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4485, 4487, 4497, 4521, 4565, 4635, 4737?\n\"Answer: x**3 - 2*x**2 + x + 4485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.42 + -9. What is v rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/((-60)\/18))\/(27\/(-2)). Let v = -2.8 - 1.2. Let z = 0.07 - -1.03. What is the closest to z in v, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirteen fifths of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -806 + 860. Is l > 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4648.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 1, j: 1, u: 1, n: 2, a: 1}. What is prob of picking 1 z, 1 u, and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, i: 6, l: 2, r: 2}. What is prob of picking 1 l and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y*(y*(((y*((y\/y**6*y)\/y*y)\/y)\/y)\/y)\/y*y*y)\/y*y*y)\/y)\/y)*y**11*y)\/(y\/(y\/(y\/y**1)))**(-15) assuming y is positive.\nAnswer: y**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {j: 1, s: 1, i: 1, g: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153 by -1.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3, 1615, -9, -5 in descending order.\nAnswer: 1615, 3, -5, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 15187840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let f(o) be the third derivative of -o**7\/2520 - o**5\/60 + 5*o**2. Let j(g) be the third derivative of f(g). Give c(j(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 368\/1337 + 2\/191. Let g = 7 + -11. Let v = 1 + 2. Which is the closest to q? (a) 1\/4 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 1798, -3, -508 in ascending order.\nAnswer: -508, -3, 1, 5, 1798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, y: 7, h: 2, f: 5, v: 4}. What is prob of sequence yff?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-2) + 21 + -3. Suppose -h - h + 3*k = -g, 5*h + 5*k - 5 = 0. Suppose -1 - 19 = -h*s. Solve -s - 5 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20150\/7 or 2879?\nAnswer: 20150\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/3 - 11760*z - 103723200 = 0 for z.\nAnswer: -17640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15005 take away 0.2?\nAnswer: -15005.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - b)*(-4 - 1 + 3) - 2*b - 2*b + 6*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n + 12. Let d(a) = -12*a - 23. Let o(g) = -6*d(g) - 11*q(g). Suppose -7*x + 11 = -3. Let u(l) = -x + 3 - 8*l + 9*l. Calculate o(s) - 4*u(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = v + 15, -6*v + 3*x + 9 = -9*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163 + 244. What is the remainder when t is divided by 65?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 27178*h + 10722828\/5.\nAnswer: 2*(h - 67866)*(h - 79)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**6\/8 - 3*d**4\/4 + 21*d**2. Find the second derivative of k(w) wrt w.\nAnswer: 90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 - 108*g**3 - 1058*g**2 + 11592*g + 12544 = 0. What is g?\nAnswer: -32, -28, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/50*36\/33\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 633, 644, 671, 720, 797, 908, 1059?\n\"Answer: q**3 + 2*q**2 - 2*q + 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(-21))**10*(o**1\/o)\/o*o*o**(-3\/2)*((o\/((o\/(o\/(o\/(o*o*o\/o**1)*o))*o)\/o)*o)\/o)**(-3\/31) assuming o is positive.\nAnswer: o**(-99\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1250 divide 1703025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -11*y + 401. Let c be g(36). Solve 5*p + 7*o + c = 3*o, -p - 2*o = -5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/4))\/(u\/u**(4\/9)))\/((((u\/((u*u\/u**1)\/u))\/u)\/u)\/u)**(-11)*(u\/(u\/(u**(-3)\/u)*u)*u**(2\/21))\/(u**(2\/3))**(-8) assuming u is positive.\nAnswer: u**(-5513\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 2\/5 (c) 6 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/3*56\/(-80).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18585 + 0.09?\nAnswer: -18584.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -33*s**3 - 135*s. Let n(l) = -99*l**3 - 404*l. Suppose 10*p + 6*p + 96 = 0. Let c(w) = p*n(w) + 17*j(w). What is the second derivative of c(h) wrt h?\nAnswer: 198*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 4403.\nAnswer: 66045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(98) + -3*(sqrt(98)*1 + sqrt(98)) + sqrt(98))**2.\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 + -17.3. Let h = -13.99999956 - q. What is h rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3*m + 2 + 3 = 0, 0 = -3*t - 4*m - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i + 17 + 17 - 34.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728555 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 6*n - 7. Suppose 12*j - 16 = n*j. Factor -2*g**3 - 7*g + 2*g**4 - j*g**5 + 2*g**5 - 8*g**2 - 2*g**5 + 3*g**5 - 2.\nAnswer: (g - 2)*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhhsgununnhhhn. What is prob of picking 1 u, 1 s, and 1 h?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:51 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44)\/(-16) - 1\/(-6 - -2). Suppose 2*o - b = v*o - 16, 0 = 3*o - b - 28. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 54750, 109297, 163844, 218391?\n\"Answer: 54547*n + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4654623706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 7*j - 57. Suppose j = -2*g - 3*k, 0 = 3*g - 5*k + 3 - 22. Let f be 4\/(-8) - 17\/g. Solve -4*s = -0*s - f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.99149 millilitres in litres?\nAnswer: 0.06099149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = -312*y - 97 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 1640276294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*j + 270*j + 491*j.\nAnswer: 700*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*m**2 - 870*m + 5 - 6*m**2 - 2*m**3 + 868*m to the form h + a*m**2 + u*m + z*m**3 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 9*f + 10. Let t be x(-8). Let b be 3\/(-1) + t + -12. Let u = b - -40. Calculate the highest common divisor of 243 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 6 + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -24. Which is smaller: -1\/14 or g?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 28*q**4 + 62*q**2 + 3726. Let z(y) = -85*y**4 - 185*y**2 - 11177. Let s(d) = -8*c(d) - 3*z(d). Differentiate s(u) with respect to u.\nAnswer: 124*u**3 + 118*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55905176 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*k = 22, -3*y + 7*y - 23 = -3*k. Suppose -w + y = -3*r, -1 = -w - 2*r + 1. Suppose -m + 0*m + 21 = w*n, -3*m = n - 13. Round n to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-5)\/(210\/264) - 2\/(-7)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3426.79 times 44\nAnswer: 150778.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*i - 26, 1 = -2*i + 5. Calculate the greatest common divisor of l and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 5. What is the remainder when y(-16) is divided by 123\/9 - 2\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113477 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 291 + 18. Let w = c - 619\/2. Which is bigger: w or -296?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(20)*4) + 4.\nAnswer: sqrt(17)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - (-4 - (-1 - -1)). Let y(q) = q**3 + 3*q**2 - 4*q + 1. Let f be y(-4). Put f, m, 5 in descending order.\nAnswer: 5, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000889031 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 80, 97, 162, 299, 532, 885, 1382, 2047?\n\"Answer: 4*q**3 - 11*q + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088) + 3*sqrt(1088) + 3)**2 - (-1*sqrt(1088)*1)**2) + 1)*1*2 + 5.\nAnswer: 384*sqrt(17) + 32665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r*r**(-1\/7))*r))\/r)\/r)\/(r\/(r\/(r**(-7\/3)\/r))))**(-1\/68) assuming r is positive.\nAnswer: r**(-25\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-19 - 15 + 32)*(-4 + 3 + 0) + 0 + 3 - 1)*(-2*m**2 + 2*m**2 + 2*m**2) to n*m**2 + y*m + w and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 6*r + 1. Let m(f) = 439*f**2 + 30*f - 6. Let s(p) = -m(p) - 6*o(p). Let d(v) = -2*v. Calculate d(s(x)).\nAnswer: 866*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/56)\/((-1)\/(-4)). Let a be 15\/(-28) + 2\/8. Sort x, -1, a in ascending order.\nAnswer: -1, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.58? (a) -127\/2 (b) -1 (c) 23\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 49 = 3*w - w - 227, 16*m = 20*m - 180 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9)\/3)\/((-3)\/252)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1027863135 and 3510.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-1 + 0 - -3)) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8582462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 33 - 52*x**3 - 33*x + 61*x**3 + 20*x**2 + 13*x**2. Let r(i) = i**3 + 4*i**2 - 4*i + 4. Calculate -33*r(y) + 4*w(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - -330. Let a = x + -91. Let c = 124 - a. Calculate the remainder when 9 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:06 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6541\/8946 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 8. Let n be x(-8). Let f(d) = -d**2 + 9*d - 6. Let z be f(n). What is the third biggest value in 1, z, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 + 69*p**3 - 240*p**2 + 228*p.\nAnswer: -3*p*(p - 19)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5140 = 5134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5\/5 - 112*j**4 - 24718*j**3\/5 - 149464*j**2\/5 - 125304*j\/5 = 0.\nAnswer: -227, -46, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2982 rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 17*h**2 - 13*h**2 + 29*h**2 + 3. Determine a(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11061543 - 4?\nAnswer: -11061547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 6, -2, 3\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 - -2) - 67 - (7141 - 7127)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 3*f**4\/8 + 2*f**3\/3 - 3*f**2. Let i(h) = 5*h - 2 + 8*h + 3*h - 21*h. Calculate 6*b(d) + 11*i(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 divided by -77?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-56)*11\/(3*(-3)\/9)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*q + 36, 2*l + 4 + 4 = 0. Let x(j) = -4*j + 11. Let k(u) = -2*u + 6. Let a(z) = q*k(z) - 6*x(z). Let b(v) = 5*v**2. Give a(b(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20659716 a multiple of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**0)**(-7\/4))**(-28\/3) assuming h is positive.\nAnswer: h**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 8 = -q - 41, -l = q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*h - 25 = -0*m, -h - 97 = -3*m. Let j(o) = -o**3 - 10*o**2 - 28*o - 168. What is the least common multiple of m and j(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -289 divided by -56\nAnswer: 289\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**8*g*g\/g**(1\/5))**47)**(-7\/3) assuming g is positive.\nAnswer: g**(-5922\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15240 divided by 3810\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7*c + 2 = -6*c, c = -z + 2. Suppose z = -4*m + 118 - 38. Find the second derivative of -m*t + 2*t**3 - 328*t**4 + 345*t**4 - 2*t**3 wrt t.\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2607669372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1132180 or 1132244?\nAnswer: 1132244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1640 + 1640 + 1064*s.\nAnswer: 1064*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**3)\/((p*p**(4\/5))\/p*p*p))\/(p**(-1\/3))**(1\/7) assuming p is positive.\nAnswer: p**(-499\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49197 and 465.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118569312 and 1665?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 1 + 0)*(3*k - 4*k + 3*k) + 0*k + k - 6*k as h*k + x and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 15 = -30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 + -10 - -4) + -21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1377 - -1391.38. Let g = o - 14.4. What is the closest to -0.2 in g, 0.4, 0, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -14 - 102\/(8364\/(-533)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 483 and 690291.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256549999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 719065178 to the power of 1\/3, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-5)*n))\/(n*n*n\/(n**(-3\/8)*n)))**36)**(-1\/18) assuming n is positive.\nAnswer: n**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (420\/24)\/(2\/12). Let d = -18 + k. What is the greatest common factor of 58 and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.643792 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 107, 41 in increasing order.\nAnswer: -5, 41, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 18*l + 22*l + 38, -2*r = l + 26. Let x(c) = c**3 + 12*c**2 + 17*c + 21. Calculate x(r).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**1*g))**(9\/7)\/(g**(2\/9)*g*((g**(3\/8)\/g)\/g)\/g*g)*((g\/g**(-6))\/g**(-6))**45 assuming g is positive.\nAnswer: g**(294395\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -12. Let h = -10 - -4. Let r be -3 + (-3)\/2*h. Solve -4*v + p = -3*f, -10 = f - 4*v + r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 17, 2\/23, 2, 0.002136 in increasing order.\nAnswer: 0.002136, 2\/23, 2\/7, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 3*r - 8 - 11, -168*y + 171 = -78*y - 81*y - r for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -48, 2, 0 in increasing order.\nAnswer: -48, -8, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -538584\/455 - -8290\/7. What is the common denominator of s and -22\/65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1864 divided by -77462.\nAnswer: -932\/38731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/15 and 92\/(-10)*21\/378?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 890, 868, 848, 830, 814?\nAnswer: 800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31\/105 - -2\/15. Let k = 2 - 1.9. Let u = k - 0. Sort u, f, 0.2 in increasing order.\nAnswer: u, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 75 and -53048 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 68.15, 3\/4, 4 in decreasing order.\nAnswer: 68.15, 4, 3\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -56, -53, -50?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1146650 and 229330.\nAnswer: 1146650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 - (-277 + 248).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 12 = -5*l, 4*l = 3*k - 62. What is the hundreds digit of 4\/k - -1578*7\/98?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -79. Suppose h = 3*s + k - 42, -27 = -s - 2*k. Calculate the remainder when s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 76, 84, 82, 64, 24, -44?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 3) + (304\/(-44) - -8) + 6.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*m**3 + 394*m**2 - 1240*m.\nAnswer: 2*m*(m + 31)*(7*m - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18\/8*520\/39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3252, -6417, -9492, -12477, -15372, -18177, -20892?\nAnswer: -23517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149041995*a**4 - 151224151*a**2?\nAnswer: 3577007880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -x + 3*x + 1, 3*x = a - 4. Let r = 51.89 - 51.79. Sort r, 2, 3, a in decreasing order.\nAnswer: 3, 2, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37*-3.15\nAnswer: 116.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4664.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0948 + -22191746133?\nAnswer: -22191746133.0948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brlnlbxwwlbnrnwbl. Give prob of sequence xw.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2366 = -2336 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 1\/6*n**3 - 8*n - 5\/24*n**4 - 11\/2*n**2 + 0 + 1\/60*n**5. Let z(h) be the first derivative of x(h). Give z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419337519 to the nearest integer?\nAnswer: 20478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s. Let a(b) = b + 1. Let x(l) = -7*l - 6. Let w(y) = -6*a(y) - x(y). Determine h(w(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/120*9)\/(-2)*-24.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2625 + -1810. Suppose 30*h - 35*h = -f. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925 is divided by (-505)\/202*(-1*71 - (-5 + 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 361098151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -138, 12, 466, 1218, 2262, 3592, 5202?\n\"Answer: -x**3 + 158*x**2 - 317*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 4*b - 30*b)*(-b**2 - 5 + 5)*(-9*b**2 - 100 + 100).\nAnswer: -351*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -82 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -224, -800, -1960, -3908?\nAnswer: -6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvhhmhxxv. Give prob of picking 2 v and 1 x.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132.4 + 1135.4. Let s = z + -1089.4. Let g = -79 - s. What is g rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*w + 12*w + 2014 - 3210 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*c**3 + 3 - 3 - 25*c**2.\nAnswer: -58*c**3 - 25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 13 - 3. Let t = -41.9 + 43. Let h = -1 + t. Which is the biggest value? (a) u (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(2 + 1*sqrt(192)) + -1)*-5*4)*-5.\nAnswer: 1080 + 4800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:30 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387197730.\nAnswer: 2, 3, 5, 4302197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16056 + -60262?\nAnswer: -76318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.016 + -6.016. What is the closest to 2\/3 in -5, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -283 + 281.8. Suppose -5*a + 31 = 2*f, 23 = 4*a - f + 6. Sort q, 7\/5, a in descending order.\nAnswer: a, 7\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 354590 = -166*k + 170*k, -2*i = 4*k - 354570. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s - 26. Let f be y(9). Let q be (-9)\/(-6) - (-2)\/4. What is the second derivative of -34*p**2 + 55*p**2 - p - f*p**q wrt p?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -37?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75261 = -3*q - 4*z, -5*q - 3*z + 50010 = -75436. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 6, r: 6, c: 4}. Give prob of sequence cee.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.24 - 0.8. Let x = -0.14 + g. Let o = 0.3 - 0.1. Are x and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 155 * 1.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 28747828 = 5*x - 0*c, -x = -c - 5749566. Let z = -5278617 - -13728182. Let t = z - x. Round t to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645*m - 10882 + 35620 = 153*m for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4512553 < 4512553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - 35. Let r = t - -401\/5. Let -2\/5*l + 3\/5 - r*l**2 = 0. What is l?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:51 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(0 + (-5)\/(-5)). Let g be ((-14)\/35)\/((-2)\/w). Which is greater: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.4. Let l be 18\/81 + (-4)\/(-9). Let p = 5 + -10. Which is the second smallest value? (a) p (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-31760794.\nAnswer: 15880397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c. Suppose -10 = 3*h + 4*z, -2*h - 10 + 2 = 3*z. Let b be (-4 + (-33)\/(-6))*h. Let m(j) = 3*j**2 - 5*j**2 + 0*j**2 + b*j**2. What is m(n(f))?\nAnswer: 49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120545 and 24109?\nAnswer: 120545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/3 - 15850*p\/3 - 303316 = 0. What is p?\nAnswer: -57, 7982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/13 + 6*d\/13 + 4\/13 = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1905 and 885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4*(1379\/(-21) + 43))\/2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1243, -1253, -1253, -1237, -1199, -1133, -1033, -893?\n\"Answer: t**3 - t**2 - 14*t - 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6441315816?\nAnswer: 2, 3, 13, 2551, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445.8169657 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 - 38*j + 29*j - 17*j**3 + 30*j**3.\nAnswer: 4*j**3 - 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11152020 (base 7) to base 12.\nAnswer: 3a9900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106 is divided by 698.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.06949 + 16.8003.\nAnswer: 15.73081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = -12. Let r be (2\/c)\/(4\/6). Let o(p) = -3 + 0*p**2 - 14 + 2*p + 6*p**2 + 16. Determine o(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (57876\/(-60))\/13 - (4 - -2). Let t(n) = -n**3 + 9*n**2 - 2*n - 3. Let f be t(7). Let u = f + g. Sort -2, u, -5 in descending order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 25. What is the third derivative of -32*p**3 + f*p + 60*p**2 - 5*p - 69*p**3 wrt p?\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5044888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) 0.4 (b) 3 (c) -0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.3 + -5. Let r = 146.2 - 152.2. What is the closest to -1 in r, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 2*x - 5 + 0*x + (-2*x + x + 0*x)*(-1 - 2 + 1).\nAnswer: x - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -125\/4. Which is the third biggest value? (a) 5 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 246992148*w**3 + 601474682*w**2?\nAnswer: 1481952888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 856675 or 856676?\nAnswer: 856675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q + 2. Let h be i(-2). Let m = h + 31. Let v be 34\/(-70) - (-13)\/m. Is v less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3342, -3342, -3338, -3324, -3294?\n\"Answer: t**3 - 4*t**2 + 5*t - 3344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/235 or 0?\nAnswer: -4\/235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 92418 + -0.5\nAnswer: 92417.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 92? (a) 2\/11 (b) -35 (c) -2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -5484419\nAnswer: -548441.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*y + 20 - 6, 0 = 4*l - 4*y - 52. Let n = l - 7. Is (-2)\/n + (-23)\/(-3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 46 = 2*w, 99 = 5*w - 2*c + 24. Solve 14*s + 5 = w*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11134303 - 202?\nAnswer: 11134101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + sqrt(77)*2)*-3)\/((sqrt(22) + sqrt(22) + (sqrt(22) - sqrt(22)*-1))\/sqrt(2)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251133.8863 rounded to the nearest 100?\nAnswer: 251100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 75. Let h be (36\/4)\/k - (4 + 0). Suppose -84 = -4*y + 2*s + 108, -h*y = -s - 234. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -809346 and -1.29?\nAnswer: 1044056.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 28*o**3 + 2 - 7*o**3 - 1 - 11*o**3 - 9*o**3. Calculate y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646*r = 613*r + 726 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -3*y**5\/35 - 9*y**4\/14 - 4*y**3\/7 + 9*y**2\/7 + 15*y\/7 - 83. Suppose t(x) = 0. What is x?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**5\/3 + 10*s**4 + 2360*s**3\/3 - 1600*s**2 = 0. Calculate s.\nAnswer: -20, 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 7007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:41 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/82*3*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-3)*-3*341\/1116\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 25*d**2 + 1 + 23*d**2 + d - 44*d**2. Let r be h(-1). Solve 5*a = -3*g + 24, -10 = -r*g + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:05 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 229 and 229 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12675681, -25351360, -38027039, -50702718, -63378397, -76054076?\nAnswer: -88729755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3007368, 3007371, 3007374, 3007377?\nAnswer: 3007380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/6 - 2*i**3\/3 + 2*i**2 + 5*i. Let w(y) = 2*y**2 - 4*y + 3. Let x(z) = -3*v(z) + 4*w(z). Factor x(g).\nAnswer: 2*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -4*r - 2*t + 4, 3*r - t = 13. Let p(n) = 5*n + 4*n + 3 - 6 + 5. Is 14 a factor of p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -5 (c) -2 (d) -0.187 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*u = 3, o - 4*o + 5*u + 14 = 0. Let h be (-4)\/3*o*(-3)\/6. Suppose -3*m = h*w - 7*w + 4, -5*m + 4 = -3*w. Solve -9 = m*x - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 - -3036. What is the greatest common divisor of s and 294?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43871*b*t**3 - 6*b*t**2 + 952292*b*t - 2*b - 12*t**3 + t**2 - 3*t wrt t?\nAnswer: 263226*b*t - 12*b - 72*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, -10503, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 20*h**2 - 15*h + 92. Let n be p(-19). Let x(f) = -f + 12. What is x(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 2*w**2 + 7 + 2*w - 7 - 12 in the form i*w**2 + h + x*w and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271963351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1455 and 2328.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0 + 25. Let n = r + 39. Let h be (-11)\/(-3) + n\/(-51). Solve h*x = -2*y + 22, y - 5*x + 10 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 2, 1.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 20.61.\nAnswer: 20.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k + 3. Let c = -10 - -8. Let f be o(c). Let h = -3 - f. Which is greater: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-6) - (-7 + 10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (25\/(-10))\/((-3)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y + 245 - 25 = 9*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10589.\nAnswer: 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weeeeeeweeeeeew. Give prob of picking 1 e and 3 w.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-27)*r)**2\/((r\/(r\/(((r**(-1\/3)*r)\/r)\/r)*r))\/(((r**(1\/38)\/r)\/r)\/r)))**34 assuming r is positive.\nAnswer: r**(-102017\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from hdhtdhhhdhdtd?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164040 + 36185. Let w be (-2)\/1 + r\/(-63930). Let y = w - 129989\/25572. Calculate the common denominator of y and 17\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 382\/((-103522)\/813)*(3\/(-2))\/((-1)\/(-10))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 42 - 4*c**2 + 41 - 83.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 + 1. Let i be y(2). Suppose 0 = s - i + 9. What is the remainder when 111 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 36.3. Let a = y + -0.1. Suppose -10 + 1 = 3*x. What is the closest to -2 in x, a, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 0 - (4 - (-8)\/(-2)). Suppose -j*q = -2*a + 278, -8*a - 4*q + 580 = -4*a. Is a less than or equal to 144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, v: 1, a: 1, d: 7}. What is prob of sequence dgav?\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/66*(-8 + 24 + -13). Which is the biggest value? (a) 44.2 (b) 0.2 (c) 1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 734856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 16 = 4*l, 2027*l - 2024*l + 3*k + 18 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**6\/6 - 125*p**5 - 5*p**4\/4 + 1099*p**3 + 4575. Find the third derivative of r(t) wrt t.\nAnswer: -60*t**2 - 15000*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*i**2*n + 3*i**2 - 8*i + 4*n + 998 wrt i?\nAnswer: 74*i*n + 6*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 3:37 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 959.9 - -0.02?\nAnswer: 959.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -175, 2, -3, -0.7, -4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -63, 0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. Let c be (-5)\/(-2)*(3 - 13\/13). Put c, -5, d in increasing order.\nAnswer: -5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/7)\/(-1 + 105\/98). Solve 4*q + a = 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475670 is divided by 61486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 8*r + 11*r - 90. Let z(d) = -9*d - 3. Let j be z(-3). Let k = -165\/7 + j. What is the second biggest value in k, 2\/3, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-20) + (-1)\/5. Calculate the highest common factor of 37 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15582 and 2352?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11415524.\nAnswer: 2, 2853881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11305 + 1.71305. Which is the closest to -6\/5? (a) 0.3 (b) -0.2 (c) 0.07 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 61*a**2 - 4*a + 4. Let b(u) = 3*u**3 - 119*u**2 - 7*u + 7. What is -4*b(g) + 7*y(g)?\nAnswer: 2*g**3 + 49*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526953 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 94 + -5?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5586343702.\nAnswer: 2, 2793171851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-1 - (0 - -1)). Suppose 2*n = 2*g + 4*n - 26, 3*g = -b*n + 43. Suppose -4*u + 3 = -g. Solve f + 4 = u*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = w - 0*w + 12, q - w = 0. Suppose -h - 8 = -6*h + 2*g, 0 = h - q*g + 1. Let s(t) = -t + 2. Calculate the remainder when h is divided by s(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 y when four letters picked without replacement from {c: 15, y: 4}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5895566.4 to the nearest 1000.\nAnswer: 5896000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 16*n + 3. Suppose -81 - 3 = -7*z. Let i = z + -14. Calculate f(i).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6*12\/(-1). Let z = -548 + 611. Suppose -n*j = -3*c + z - 164, -5*j + c = -118. Calculate the highest common divisor of 207 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r + 13*r = 13020. Calculate the least common multiple of r and 15.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -0.2, 4, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52819a2 + 62?\nAnswer: 5281a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8132 - -243839\/30. Calculate the common denominator of m and -73\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*z = -0*z + 2, -6 = 3*l - z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 2. Let q be i(-2). Suppose p + 5*j = 3 - 11, 37 = q*p - 3*j. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013842 rounded to 4 decimal places?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/10 and (4\/(-15070))\/((-41)\/3690).\nAnswer: 15070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 200513654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 1447 + 183 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-2)\/k*k**(-4\/7))\/((k\/k**3)\/k)**(-10))**(2\/13) assuming k is positive.\nAnswer: k**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {s: 3, l: 9, d: 7}.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1232152 and -14?\nAnswer: 17250128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p + 1. Let s be v(0). Let l = -321 - -323. Is l > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141210 (base 6) in base 10?\nAnswer: 59910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*b + 30, 6*q + 17 = -2*b + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 115. Suppose -14*z - 9*z = 759. Let c = z - -45. Calculate the highest common factor of h and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4317713 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: Let q(p) = 50*p**2 + 1308*p + 118. Determine q(-26).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2423, -9382, -20869, -36884?\n\"Answer: -2264*o**2 - 167*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19944 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48*13523.\nAnswer: 649104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3944821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/6 + x**2 - 3*x + 4. Let s(m) be the first derivative of y(m). Determine s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24 - -4.84. Let y = -0.16 + -0.44. Let t = y + x. What is the smallest value in 2\/9, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13438 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92075972.900681 + 92075858. Let x = 114.9 + v. Round x to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 49.972045?\nAnswer: -40.972045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*k*n**3 + 273648*k*n**2 - 2*k*n + 2*k + 480*n + 2341 wrt n?\nAnswer: -180*k*n + 547296*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 5 (b) -5 (c) 1\/10 (d) -1\/11 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 4*m**2 + 4*m**2 - m**2 + m - m + (2*m + 3*m - 3*m)*(-m - 4*m + 3*m) + 5 + 3*m**2 - 5 + 3 + 2*m**2 - 3.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 198504956 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 270*(-1)\/38 - -7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 12:05 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + o**2 - 6*o + 2. Let w be a(-3). Let h = w - -25. Suppose -4*d + 48 + 60 = h. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5)*((-10494)\/(-264))\/((-495)\/(-132)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -99.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018030301698 rounded to 7 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141424 is divided by 473.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -363 - -1429\/4. Let l = o - -6. Let n = -0.0139 + 0.0239. Which is smaller: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -376 + 375. Let r be 14\/(-6) - (-1)\/3. What is the nearest to -2 in 3, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n + 3. Let x be z(0). Let u(m) = -38 - 28 + 64 - x*m. Let w(s) be the second derivative of 13*s**3\/6 + 4*s**2 + 24*s. What is 9*u(p) + 2*w(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*27911\nAnswer: -19537.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7232 rounded to 1 dp?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.308 to 2 decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 5:34 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 15 - 3)*(-h**3 + 7*h - 7*h) + (3*h**2 - 2*h**2 + 0*h**2)*(3*h - 2*h + h) + h - h - h**3.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1151 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7173 from -0.3.\nAnswer: 7172.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -105*i**2 - 3433802 + 5*i**3 + 400*i + 3433802.\nAnswer: 5*i*(i - 16)*(i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*y + 5*y - 3*y.\nAnswer: -60*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3231 - 2567 = 125*c - 3548 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11 + 30\/(-18)*-9. Solve 0 = -t*x - 5*l + 18 - 3, 2*x = 4*l - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(28587\/(-2932)*26*1)?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*d + 79 + 148, -m = d + 106. Let s = m + 207. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-16 - 0))*-1. Let x be j + (-4)\/(8\/6). Let g be (x\/35)\/((-9)\/(-7)). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233092.2 + -0.37\nAnswer: -233092.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -835, -833, -845, -877, -935, -1025, -1153?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16814 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10653 divided by 5\nAnswer: -10653\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 1 + -2 - 2. Let z be -6*4075\/61200 - 3\/72. Is g < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 2537, 1\/3, 7, 0.2, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 458 and 458 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1623240 and 90.\nAnswer: 1623240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 329386 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: Calculate the greatest common divisor of 4123 and 41695.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**6\/10 + g**5\/2 + g**4\/3 - 4*g**3\/3 - 51*g + 1. Factor f(a).\nAnswer: a*(a + 2)**2*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 3 + -4 + 1 - -9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*p + p. Suppose 0 = 8*j - 4*j - 3*g + 209, 0 = 3*j - p*g + 154. Let o = j + 108. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33873403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j - 16. Let b be s(-5). Suppose -2988 = -b*q + 2475. Calculate the remainder when q is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*n - 43*n - 208 + 169*n**2 + 209 to the form i + z*n + p*n**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + -194*3\/(-6).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 595 + 10456. List the prime factors of t.\nAnswer: 43, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3989 divide 276482775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 148609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1258 - -3?\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 4\/176905?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 37700\/((-74)\/160 + (-10)\/(-25)). What is d rounded to the nearest ten thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*u - 182*u + 265 = 64*g, 5*u = -5*g + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c0b26 - 7?\nAnswer: -c0b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 442733*f**3 + 66416*f**2?\nAnswer: 2656398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4583, 9609, 15059, 20933, 27231, 33953?\n\"Answer: 212*q**2 + 4390*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19847 is divided by 19507?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17172 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3133 + -10?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0, -0.17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 158*y - 2361. Let l be f(15). Solve -l = -o - 2 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 - -3) - (-1 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m. Let k be -46 - (-1 + 11)\/5. Let t be k\/(-32) + (-9)\/2. Calculate h(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 9*z**2 - z + 11. Let u be j(9). Find the second derivative of -4*v**2 - 2*v**4 + 4*v + 0*v**2 + 4*v**u - 30*v**3 + 2 wrt v.\nAnswer: -24*v**2 - 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q - 6. Let o be q\/(4\/(2\/(-1))). Let n be o\/3 - 42\/(-9). What is the highest common factor of 10 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**8\/56 + v**5\/10 - v**2. What is the third derivative of y(j) wrt j?\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = -25*z + 38*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 11*u**2 - 19*u + 14. Let w be k(9). Suppose 4*p - 5*m + 124 - 517 = 0, 483 = w*p + 2*m. Let v = p + 142. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*x - 1 = 14, 0 = -3*i - 4*x + 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*t - 4)*(-t**2 - 3*t**2 + t**2).\nAnswer: -6*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 1780440.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650220 + 19921*x + 650220.\nAnswer: 19921*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*h - 3)*(-29 - 19 - 28).\nAnswer: -152*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 12 = 3*i + 10, -4*w + 4*i - 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14601\/8 + 1825. Which is the second smallest value? (a) f (b) -2\/7 (c) 2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 687396390 from -5.\nAnswer: -687396395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**3 + 10*y**2 - 4*y + 2. Give c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 43 = 25 + 58 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201849702 by 6.\nAnswer: 33641617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 24, 63, 138, 261, 444, 699, 1038?\n\"Answer: 2*d**3 + d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3844, 3849, 3864, 3895, 3948?\nAnswer: 4029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000946417 rounded to 6 dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 140 in -4\/5, -1.213, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 244947458 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 280817530 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 56*d - 51. Give m(8).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a year in months?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 - -0.4. Suppose t = -4 - 3. Let j be t\/(-21) + (-15)\/99. What is the nearest to -1\/4 in j, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0186 - 0.1114. Let r = -0.77 + 0.7. Let m = r + h. Which is the biggest value? (a) m (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 13*c**2 - 20*c - 581. Calculate i(-15).\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 9, 5, -54?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 364 + -281. Suppose 0*u - 80 = -4*d - 2*u, u = -2. What is the remainder when o is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + 732 + (-1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2030 and 4340.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98 and 1.6887.\nAnswer: 165.4926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -720, -719, -718, -717, -716?\n\"Answer: a - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*a + 103 = -24, -4*a + 539 = 5*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 28*t - 30.\nAnswer: 2*(t - 15)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/7 + -5\/28. Let i be (18\/80)\/((-30)\/(-50)). What is the nearest to n in -1\/4, -52, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46411, -46415, -46419, -46423?\nAnswer: -46427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 237 and 9.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -4 (c) -17642 (d) -5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 - p + 1. Let k be b(1). Let a(f) be the first derivative of -f**4\/4 + f**3 - f**2\/2 - 1. Let n be a(k). Sort 4, 5, n in descending order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by (78\/65)\/(8\/840).\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1471323 or -1471325?\nAnswer: -1471323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n + 29. Is w(0) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 664, 1751, 3440, 5827, 9008, 13079, 18136?\nAnswer: 24275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 49*b + 45*b + 215 = 0, -4*b + 418 = 2*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131574 = -15*c + 21*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a microgram in nanograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*f**5*s + 22*f**5 + 2*f + 16*s wrt f.\nAnswer: 1660*f**3*s + 440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/14 + 3854769\/18221 + -213.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378, 380, 382, 384, 386?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(-3*7\/(-35))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635 is divided by 75?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 712 - 475. What are the prime factors of s?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 24*v**2 + v. Let f(k) = -910726 - 9*k + 910726. Calculate f(l(r)).\nAnswer: -216*r**2 - 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 394 = 4*x - 2*v, 121 = -x + 5*v. Does 7 divide (x\/10)\/(6\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.48 * 340\nAnswer: -9343.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -28.51. Let t = -87 + n. What is t rounded to the nearest integer?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7*q**2 + 6*q**2 + 30 + 2*q**3 + q to r + s*q**3 + y*q + k*q**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*f + 43, 6 = -4*f + 4*g + 54 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*(5 + 1). Let f = -2.951 - 0.049. Which is the second smallest value? (a) f (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and -17166525923.\nAnswer: -17166525923.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r**2. Let m(o) be the second derivative of 11*o**4\/12 - 2443*o. Calculate s(m(n)).\nAnswer: 1573*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3719 + -3837. Let f = -1231454 - -1231572.0443. Let j = x + f. What is j rounded to three decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 10*r**2 + 7*r + 30. Let o be h(-10). Let b be (o\/(-3))\/(18\/27). Let u be 15\/((-15)\/b*-4). Let t(p) = -2*p - 2. Give t(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 8 = -104. Suppose 2*j - z = 14. Calculate the greatest common divisor of 35 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * -1.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4 - 6348*x**3 - 13166468*x**2 - 8851519008*x + 17755754688 = 0.\nAnswer: -2412, -1526, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-165)\/10*92\/(-759). Suppose 3*c = 2*c - 2*b + 9, b = 2. Solve 0 = q*f + 1 - c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*d + 3*k, 40*k + 24 = 2*d + 44*k for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**5 + 387*f**4 + 8073*f**3 + 52797*f**2 + 136386*f + 119880 = 0.\nAnswer: -9, -5, -3, -2, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 21 = 0, -2*p = 4*t - 194 + 20. What is the smallest common multiple of 40 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391 + (-1 - (-9 - -3))?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -57. Suppose -6*s + 4*s = t + 45, 5*t - w = s. Put s, -4, 3, 2 in ascending order.\nAnswer: s, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:28 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26365265.\nAnswer: 5, 5273053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c - 24. Let b be 4*4*(-15)\/(-24). What is the remainder when j(b) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 22. Let f = -0.55 - 0.05. Let s = -0.7 - f. Is s <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -1\/501 (b) 3 (c) 2\/113 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 0*v = 11*v + 168 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) -763 (c) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 6*w + 3. Suppose 5*t - 4*f = -20, f - 9 = 2*t - 1. Give h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 437 = -1403. Suppose -2*i + 9*i = 161. What is the greatest common factor of i and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -o + 4, 20 = 478*x - 477*x + 5*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -800, 8, -3, -4, -8.\nAnswer: -800, -8, -4, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1733178168 to the nearest integer?\nAnswer: 41631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 8 = 4*q + f, -21*q = 31*f - 16*f - 13*f + 17 + 52 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32368 is divided by 789.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y - 51*y = -5*x + 3, 17 = y - 2*x for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3922744 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -318013*203\nAnswer: -64556639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0*o**4 + 0*o - 1\/20*o**5 + 0*o**3 + 0 + 5*o**2. Factor q(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10372*u. Let m(v) = -375*v**2. What is m(n(k))?\nAnswer: -40341894000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*c - 41, 2 = -c + 3*c. Suppose 11*x = 2*x + 135. What is the remainder when (-511)\/f - (-4)\/18 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5108 times -1346?\nAnswer: -6875368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829833959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195 - -231. What is the remainder when j is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 5*f**2 + f + 7. Suppose y = 3*y + 10. Give s(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1491 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 1 = -f - 12*o, -o + 4 = 3*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 19267079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606530614 to the nearest integer?\nAnswer: 24628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375020 - 641*j + 375020.\nAnswer: -641*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/80)\/((-14)\/(-4))*(-105)\/12.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let h(u) = 42*u**2. What is t(h(f))?\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let m(g) = 11*g**2 - 6*g + 7. Let z be m(-5). Let h(f) = 330*f + z*f - 657*f. Calculate h(p(r)).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3254 (base 6) to base 14.\nAnswer: -3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -445b6 - -9?\nAnswer: -445ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:45 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-2*l**4 + 2*l**4 + 2*l**4) - 3039*l + 290*l**4 + 3039*l.\nAnswer: 286*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(0*u - 5*u + 4*u) - 2*u + 0*u + 0*u + (-3 - 1 + 5)*(-1 + 1 - u) + 3*u - 4*u + 3*u + 3*u - 7*u + 89 - 92.\nAnswer: -4*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*b**2 - 90*b**2 - 962*b**2 - 211*b**2.\nAnswer: -975*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1841784 or 1841786?\nAnswer: 1841784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 92*p**2 - 55*p + 1. Suppose -4*z = 3*m - 55, 0 = -m - 4*z + 23 - 2. Is f(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 49 = -x. Let l = x + -88. Sort l, -3, -4 in decreasing order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0*u**2 + 6*u**2 - 8*u**2.\nAnswer: -2*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*q + l, -3*q - 141*l + 360*l = -1080 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15.9 (b) -21 (c) 0.5 (d) -47 (e) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*c + 4*n + 1, 10 = 5*c - n. Find the third derivative of 150*s**c - 132*s**3 + 2*s**2 - 6*s**2 - 8*s**2 wrt s.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 + 6*k**2 - 2*k**3 + 2 + 153*k + 4*k**2 - 152*k to j*k + z*k**3 + x*k**4 + f*k**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 7*t + 10*t + 474, -2*t + 494 = 3*k. What is the remainder when k is divided by 45?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.602 + 554.698. What is s rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5285131\/2972871 - 3\/330319. Factor -2\/9*p**2 + 0 + l*p.\nAnswer: -2*p*(p - 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v**2 - 18*v + 29. Let j be k(-17). Find the first derivative of 3307 - j - 4*n**2 - 16*n**4 + 0*n**2 wrt n.\nAnswer: -64*n**3 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-1 - (-9)\/4). Let j = -4 - -4.3. Sort f, 4\/5, j.\nAnswer: f, j, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -318496377, -318496380, -318496383, -318496386, -318496389, -318496392?\n\"Answer: -3*y - 318496374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v - 409. What is c(40)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/45073308 and 121\/111018.\nAnswer: 45073308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-29)\/q**(1\/13)*(q*q**(-6\/17)\/q)\/q**(-8\/9) assuming q is positive.\nAnswer: q**(-56768\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -4. Suppose -6*k + 63 = 9. Suppose -k*n - 52 = -16. Sort t, 5, 1, n.\nAnswer: n, 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 67 - (-42 - -78)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 p, 1 s, and 1 j when four letters picked without replacement from {p: 3, t: 1, a: 2, s: 1, g: 2, j: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -366.9158983 to 1 dp.\nAnswer: -366.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14077701, -14077717, -14077737, -14077761, -14077789, -14077821?\nAnswer: -14077857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-22)\/(-990))\/(1*3\/351)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 13*d**2 - 2*d - 15. Let y be z(-13). What is the highest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -11, -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v - 19*v - 13*v to the form q*v + k and give q.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4223774, 8447550, 12671326, 16895102, 21118878?\nAnswer: 25342654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-49)\/35)\/(115\/46*(-4)\/50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p + 1. What is b(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1035.93 - -0.3.\nAnswer: -1035.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -323468.099848 - -323467. Let z = -46.1 + 45. Let l = z - k. Round l to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11*t**(-5)*t*(t*t**(-3\/19)\/t*t)\/t*t*t**(2\/57))**(-2\/13) assuming t is positive.\nAnswer: t**(-898\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 7 - 324*t**2 + 277*t**2.\nAnswer: -47*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*r - 2313, 3*y + 5*r - 1523 = y. Which is bigger: 765 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 6*o - 18 = 1, 0 = 3*d - 5*o + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-24 - -49) + 2 + 2 - -11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(147) - sqrt(147)*-2)*-1)**2.\nAnswer: 7938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:55 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 1, i: 1, k: 1, w: 1}. Give prob of picking 1 i and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(5\/7)*g\/g**14*g*g*g*g*g**15*(g*g\/(g\/(g**44*g))*g*g)\/g assuming g is positive.\nAnswer: g**(373\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.72 + -1.8. Let i = l - -2.08. Put i, 3.1, -4 in descending order.\nAnswer: 3.1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 + (1 - (20 + -1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1396258798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 594 + -580. Suppose -m*z + 23 = -19. Calculate the remainder when (-2)\/(-4)*6 - -1 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10826 is divided by 624.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-3) - (-1)\/(-3). Let a be (-1)\/4 + x\/(-4). Let i be (33\/(-12))\/(a\/(-8)). Solve 2*u + i = 7*u - 4*b, 5*u + 2*b = -13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1 - 1 - 253*s + 499*s - 257*s. Let w(r) = 13*r. What is k(w(j))?\nAnswer: -143*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 73 = -70, -4*g + 3 = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241.9 + -229. Let k = -31.39 + 18.49. Let h = w + k. Which is the closest to -2? (a) h (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9192 - 4351. Suppose w = 35*t - 14409. Calculate the remainder when t is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163364 take away -4136985?\nAnswer: 4300349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1116*q + 1618787 - 1512767 for q.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -177*n - 147. What is the hundreds digit of z(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238516 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 16*t - 58. Determine q(-18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13010*n - 4855.\nAnswer: -13010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -288*k**3 + 2*k**2 + 2*k + 1. Let c be l(-1). Let r = 395 - c. Calculate the highest common factor of 53 and r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 = -3*d, m - 33 = -3*m - 5*d. Suppose m = b - 0. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6 - 5 = -w, -3*w + 65 = 4*v. Let r be (9\/(-6))\/(w\/36) + 7. Solve -4*m = -r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5045)\/(-4)*2\/(-24). Let f = h - -607\/6. Calculate the common denominator of 67\/10 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7030 and 76627.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 191*l**2 - 5*l. Let u(d) = d**3 - 96*d**2 + 3*d. Give -3*k(g) - 5*u(g).\nAnswer: g**3 - 93*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a day in minutes?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 49\/(-3)*(-5163)\/(-10). Let f = b + 8424. Calculate the common denominator of f and 80\/(-45) + 0 + 0\/(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 28. Let t = z - -10. Put -5, -0.3, t in decreasing order.\nAnswer: -0.3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 1:19 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -3*c + x, -2*c - 44 - 16 = 3*x. Let w be ((-16)\/c)\/((-2)\/(-12)). Find l such that 5*l**2 - 8 - w*l + 8*l + 11*l**2 - 8*l**3 + 4*l**5 - 8*l**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10110111?\nAnswer: 10110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*l**3 + 467843*l - 84534101?\nAnswer: -27*l**2 + 467843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 26*u + 145. Determine f(-13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 909 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*b - 37*b + 767 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2822526 millilitres?\nAnswer: 0.0002822526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + ((-232)\/(-110) - 3). Let v = l - 152\/385. Which is the closest to 0? (a) 0.2 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 4)*(-y - 3*y**2 + y) - 186*y - 234*y**2 + 186*y as l + t*y + b*y**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*v - 151*v + 440*v + 47*v**2 - 134*v.\nAnswer: 47*v**2 - 100*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -17. Let s = -4 - -11. Let w = x - s. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48433 - 48426. Let x be 2\/6 + 4\/6. Let k = 10 + x. Calculate the lowest common multiple of g and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v - 10. Let m be n(-4). Solve 0 = -2*q - 16 + m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, n: 4, j: 1}. What is prob of sequence jnvv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 - (-8)\/5. Let x = 0 + z. Let o be (-2 + (-14)\/(-6))*1. Which is the third smallest value? (a) -5 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 8*u - 5*m = -284, -4*u + 4*m + 1232 = 0. Let a = 307 - u. Solve -a*o + 17 = 5*w, 2*w = 2*o + 3*o - 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (-26 - (-20 + -50)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -92640272.5?\nAnswer: -92640272.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3146 and 663?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 100. Suppose -b + 3*n - 6 = x, 2*n + 6 = b + 5*n. Suppose -2*y + 2*g + 386 = b, 5*g + 377 + 194 = 3*y. List the prime factors of y.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5089, -4, 5, 7\/8?\nAnswer: 5089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than or equal to 4\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/363 and 127\/30.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -124910000 to the nearest one million.\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/3 - (-169)\/(-39). Let n(l) = -47*l**3 + l**2 + 3*l. Is n(v) a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104505 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: Find the second derivative of 452*c**3*g**3 - 398210*c**3*g**2 + 58*c**3*g - 10*c**2*g - 499*c*g - 39 wrt g.\nAnswer: 2712*c**3*g - 796420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -22.12. Let f = 55.88 - y. Let h = f - 56.00000226. What is h rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 8 = -2*c, 3*t - 45 = -4*c - 29 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -4?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*v - 1 + 1 - 84*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(400)*-4).\nAnswer: -sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 1569116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*c + 19961 - 19918 = 0, 3*m + 2*c - 29 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -1 + -4)\/(-1). Suppose -y = i*y. Let v be 6\/(-36) - 7\/12. Which is greater: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/10*(-60)\/(-36). Suppose 2*n + a*n - 470 = 5*d, -5*d - 10 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5\/5 + 916*n**4\/5 + 120976*n**3\/5 - 68194208*n**2\/5 - 274199072*n\/5 - 274668224\/5 = 0.\nAnswer: -262, -2, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -2*a - 873 + 885, -5*a + 3*h = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94224749?\nAnswer: 227, 415087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-70))\/((-7)\/(252\/(-9)))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 2) + (8 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2025)*-1)\/(3*sqrt(10)\/sqrt(2)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 1. Let q(o) = 2*o**2 - 23. Let g be q(-5). Let k(d) = 4*d - 112. Let b be k(g). Give w(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 - 5*b + 5*b**3 + 9*b**2 - 8*b**3 + 0*b**3 to the form t*b + k + q*b**2 + p*b**3 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 0. Let q be 2\/(-4) - 5\/(-20). Sort l, q, -4 in ascending order.\nAnswer: -4, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 36 = i. Let d = 3 - -102. Let z = d + -70. Calculate the remainder when z is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1. Let z(g) = 1. Let w(t) = -6*a(t) - z(t). Let k(f) = -f - 6. What is 5*k(d) + 6*w(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1168 divided by 30742.\nAnswer: -584\/15371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -432? (a) -40 (b) -1 (c) 0.1 (d) -52 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from fngfgnnagfngagfa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 210?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - u + 4. Calculate the remainder when -5 + (25\/(-1))\/(9\/(-18)) is divided by s(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10353 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14079647 is divided by 119319.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -5\/396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -479, -1606, -3443, -5948, -9079, -12794, -17051, -21808?\n\"Answer: 7*m**3 - 397*m**2 + 15*m - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 6. Let g be a(-3). Let m(x) = -23*x - g*x**3 + 10 - 10*x**2 + 11*x - x**3 + 3*x**3. What are the prime factors of m(-9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**7\/280 - m**5\/60 + 7*m**3\/6 + m. Let n(g) be the second derivative of j(g). What is the second derivative of n(h) wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 627919?\nAnswer: 1\/627919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 318*s - 8269. Calculate k(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(5\/11)*a**(6\/5)\/a**(-5))\/((a**4\/(a*a**6*a*a))\/(a\/(a\/a**(-3\/4)*a)*a**2)) assuming a is positive.\nAnswer: a**(229\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(816) + (sqrt(816) - 6*sqrt(816)*-2 - sqrt(816)))\/(sqrt(6)\/sqrt(2)*-5 + sqrt(27)*-1).\nAnswer: -13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1875 bigger than -1875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -2*i - 3*f, 74 = 4*i + f - 75. Is i greater than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12242 and -2.\nAnswer: -24484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 210675 divided by -12?\nAnswer: -70225\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-8*n**2 + 0*n**2 + 3*n**2)*(-1 + 2*n + 1).\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 - 2*g**3 - 3*g**3 + (-25*g - 16*g - g)*(3*g**2 - 3*g**2 - g**2).\nAnswer: 41*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08043981967 plus 8237?\nAnswer: 8237.08043981967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 123263023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*b, w + 2 = 3*w - 2*b. Solve -3*i + 5 = w*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1662525 is divided by 5053?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 o when three letters picked without replacement from fzotx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19463 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 4. Let g(h) = 4*h + 11. Let l(p) = -2*p**2 + 29*p - 11. Let d be l(14). Calculate d*g(t) + 8*s(t).\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 544 + -544.4. Sort -3\/4, 3, j in increasing order.\nAnswer: -3\/4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10381116.4 rounded to the nearest one thousand?\nAnswer: -10381000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138 - -13. Let f = -41 - u. Is (-2)\/(-8)*0 + f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 7*d + 7. Let s be c(7). Suppose -2*y = -s*y + 10. Suppose -6 = -y*b + 10. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*z - 16, 224*y - 35 = -5*z + 220*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 796, 1202, 1612, 2026, 2444?\nAnswer: 2866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -33*r**2 - 5*r. Let p(a) = -742*a**2 - 112*a. Let o(w) = 112*n(w) - 5*p(w). Let b(v) be the first derivative of -3*v**2\/2 - 246. Calculate b(o(j)).\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/347 in -96, -0.2, 0.2, 1\/2, 1\/3, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 157 = -5*y, -3*i - 5*y = -112 - 131. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, -192 in ascending order.\nAnswer: -192, -3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 + 3*w + 80. Let i(m) = 4*m**2 - 2*m - 53. Determine -8*i(g) - 5*y(g).\nAnswer: -2*g**2 + g + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(136) + sqrt(34))*4 + (sqrt(102)\/sqrt(3) + sqrt(34))*5)\/((sqrt(42)\/sqrt(3))\/sqrt(7)*-4)*-5.\nAnswer: 165*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 12585 = 31401. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 65*q**3 - q**2 + q + 2. Let c(x) = x + 1. Let h(s) = -b(s) + 2*c(s). Let t be h(-1). What is the highest common factor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 26*s + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**6\/1320 - 3*a**5\/110 - 81*a**4\/88 - 3339*a**2 - a. Factor n(s).\nAnswer: s*(s - 27)*(s + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -813 + 1158. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-2)\/6*(-186)\/(-868)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/98*8\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -2.02637775.\nAnswer: -0.8105511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5\/7)\/(s*s*s\/(s\/s**(-9)))*(s\/(s*s\/((s**(-3\/5)*s*s)\/s))*s*s)\/(s\/(s*s*s\/s**(-2)*s)*s) assuming s is positive.\nAnswer: s**(409\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69496 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 smallest common multiple of 304 and 80?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 426 + 582 = 4*l, -h - 751 = -3*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 57*i**2 + 4*i - 2. Let f(w) = -1260*w**2 - 90*w + 45. Let r(h) = -45*d(h) - 2*f(h). Let a(x) = -72*x. What is a(r(l))?\nAnswer: 3240*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 4*g - 35, -2*n + 10*g - 120 - 135 = 11*g - 241 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1386, 5285, 11784, 20883, 32582, 46881, 63780?\n\"Answer: 1300*m**2 - m + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdnbknkgkdkgnkkkkrg. Give prob of picking 1 n and 1 r.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 370 + 133060?\nAnswer: 133450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v - 1. Let w be c(-1). Let i(a) = -a**3 + 3*a**2 - 2*a + 5. Let r = 8 - 8. Let h be i(r). Solve -z = h*b - 2, -w*z + 5 = -2*b - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13\/(65\/15))\/(6\/2072)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/5))**(16\/3))**(1\/10) assuming y is positive.\nAnswer: y**(-8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -50.2. What is the closest to -0.1 in z, -0.4, 2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 526091533.\nAnswer: 3156549198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40.774 <= 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/205 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77705547 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*i**2*r**2*s + 1687*a*i**2*s + 2*a*i*r**2*s + 2*a*i*r - 2*a*i*s - i*r**2 - 4 wrt i?\nAnswer: 2*a*r**2*s + 3374*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6)\/((-4)\/(-12)). Suppose -2*q = b*d - 32, 5*d - 2*q - 5 = 44. What is the second derivative of r**2 - 14*r - d*r + 24*r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14314 and -3.\nAnswer: -0.42942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l = 2*l - 311 + 77 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 - -0.38. Let s = 0.1 + 0.1. Let t = 345.5 - 345. What is the third smallest value in o, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504990 - 504990 + 12*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 66*h + 300. Give o(-61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34140, 68297, 102452, 136605, 170756?\n\"Answer: -y**2 + 34160*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92800 and 1100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*c + 18*c**2 - 20*c**2 + 0*c as q + u*c + t*c**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**8\/3360 - y**7\/1680 - y**6\/720 + y**5\/240 - y**3\/2 + y. Let x(g) be the second derivative of v(g). Solve x(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -16. Let h = u - 43. Is 6\/(-4)*h\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 2057?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7079074 by -12.\nAnswer: 3539537\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*192\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3391173 and 101\/174.\nAnswer: 6782346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10698, -42789, -96280, -171171, -267462?\n\"Answer: -10700*c**2 + 9*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 57*n**2 - 3 + 56*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:39 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - ((0 - 1) + 4). Let s be (-34999)\/5 + (-1)\/y. Round s to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64218 by 21406.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3 - 1)*5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*f - 30. Let x = -219 - -267. What is the highest common factor of x and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -99, -2, -355 in ascending order.\nAnswer: -355, -99, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 10:19 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(3\/31))\/p**(-42))**(-12) assuming p is positive.\nAnswer: p**(-15960\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69 and 657?\nAnswer: 15111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -89. Let t = 54 + w. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.187*-31\nAnswer: -5.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6782704 divided by -16.\nAnswer: 423919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17299*z**2 - 51876*z**2 + 17293*z**2 + 1639*z + 17286*z**2.\nAnswer: 2*z**2 + 1639*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 11. Let d be -5 + -1 - (4 + -3). Let b be j(d). What is the highest common factor of b and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 11. Give j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = 11. Solve -p*k + 4 = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7 - 5 + 17 + 2*m - 8. Give u(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.599345 rounded to 2 dps?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-18)*228\/38)\/((-12)\/270).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-17)\/(-68)*(-1)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3))\/g**(-2\/7)*g**(-4)*g*g\/(g*g**(-2\/9)\/g*g*g) assuming g is positive.\nAnswer: g**(32\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873*z - 294*z + 237*z.\nAnswer: -930*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 184, -1, 0.1, 6, -15?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 49*h**2 + 238*h - 412. Give p(-44).\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -458.9 - 1781089534.\nAnswer: -1781089992.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1032283849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323545, -647030, -970515, -1294000?\nAnswer: -1617485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 524 and 917?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**4*(g*g*g\/(g\/g**(-5)))\/g)\/(g*g**1)**4)\/((g**(1\/3)*g)**(-13\/2))**43 assuming g is positive.\nAnswer: g**(1097\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -2717.45.\nAnswer: -2717.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7350 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5417*0.08\nAnswer: -0.043336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 49*t + 0 + 1 in the form l + v*t and give v.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + a + 193 + 4363, 1718 = 3*c + 2*a. What is the remainder when c is divided by 62?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**4*i + 955*d*i*t + 2*i*t - 1016*i - 2*t wrt d?\nAnswer: -4*d**3*i + 955*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54237954 is divided by 541.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 202116.9458.\nAnswer: 202112.9458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14 + 9 + 58\/30*3. Which is the nearest to -0.4? (a) 1\/4 (b) k (c) -7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 9 - 14 - -5. Let a(u) = -u**3 + 4*u**2 - u + 1. Let f be a(3). Suppose 4*p + f = 5*c + 3, -3*p + 2*c = -4. Sort p, -1\/3, r in increasing order.\nAnswer: r, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51302481, 51302482, 51302483?\n\"Answer: l + 51302480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:53 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 38\/19*(-3)\/(24\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1247 = 1245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 3 + 5*d + 1)*(-26 + 26 + 4*d).\nAnswer: -4*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23908425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 32*l + 4*l + 17 to the form x + i*l and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 244\/1805 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*v**2 - 4*v**3 - 15*v**2 + v + 5*v**3 - 89*v**4 + 78*v**4 + 0*v to the form f*v**3 + r*v**2 + g*v + x + a*v**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5961*m**3 + 2*m**5 + 6*m**2 + 31*m**2 + 6002*m**3 - 1 + 1 wrt m.\nAnswer: 120*m**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195.9 * -3.05\nAnswer: -597.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1664 + 1663. What is the second smallest value in -0.1, i, -1\/102?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/6*6\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 12. Let z be (-4)\/t + -12 + 11. What is the second smallest value in -1, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269 - -173\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from tauutf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14594 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121100 (base 3) in base 7?\nAnswer: -5352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 5*d**8\/42 + 8*d**5\/15 - 16*d**2 - 22. Let v(l) be the second derivative of g(l). Find the third derivative of v(r) wrt r.\nAnswer: 2400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 305663216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n = 7566 - 6798 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -12.4. Let w = -0.36 - 0.14. Which is the closest to 1\/3? (a) v (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let m(l) = -4*l + 7*l - 5*l. Determine u(m(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111272*c**6 + 192901*c**2 wrt c?\nAnswer: -13352640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/24)*o**(-2\/23)*o*o assuming o is positive.\nAnswer: o**(1033\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2 + 0 + 3 - 4*w - 1. Let k be y(0). Suppose -u - 28 = -5*u - k*p, 0 = -2*p + 6. Solve u = x - 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 92 = 4*o - 22, -a - 3*o = -40. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1654 - -4110. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0. Let f = 842 + -832. Let m(o) = o**2 - 4*o - 59. Let u be m(f). Sort n, -2\/3, u.\nAnswer: -2\/3, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -290*r**2 - 185*r - 4. Let k(j) = -576*j**2 - 369*j - 9. Let u(m) = 9*f(m) - 4*k(m). Find the second derivative of u(g) wrt g.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 12*p + 3. Let i be s(0). Let w(j) = 2*j**i - 3*j**3 + 2 + 10*j + 11*j - 19*j - 3*j**2. Determine w(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4 and 79\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -592\nAnswer: -59.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8470 - -20033. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**5\/60 + 47*w**3\/6 + 61*w**2. Let d(l) be the first derivative of o(l). Let q(n) = -24*n**2 + 4. Determine q(d(v)).\nAnswer: -96*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183*s**3 + 10*s**2 + 93*s + 19?\nAnswer: 1098*s + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1150.4 + -1150. What is the second biggest value in 2\/7, -0.7, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 17}. Give prob of picking 2 r.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-160)\/(-6))\/5)\/((-20)\/(-30)). Let t(y) = -2*y**3 + 7*y**2 + 8*y + 13. Let z(n) = -n**2 + 1. Let f(o) = -t(o) - 6*z(o). Is f(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 742038485 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 - k + 64 + 3*k**2 - 64 + 2*k**2. Let s(c) = -15*c**3 + 25*c**2 - 25*c. What is -s(o) + 25*v(o)?\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvvd when four letters picked without replacement from vlvqqd?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 12. Let t be 10\/4*(f - -6). Suppose -t = -5*k - 0. Solve -2*n + 9 + 3 = -4*y, 0 = 2*n + k*y + 33 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -43. Let r(w) = -w**2 - 13*w + 9. Let o be r(k). Let u be 5\/7 - 4\/(-14). Calculate the greatest common divisor of o and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 - 72\/(-20). Let d be 0\/3 - l\/9. Let r = 10 + -6. Sort -4\/7, r, d in descending order.\nAnswer: r, d, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m - 3. What is the units digit of f(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 4*q**2 + 3*q - 5. Let l(p) = -p**3 + p. Let i(k) = d(k) - l(k). Let x = 3 + 1. Calculate the remainder when i(x) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 53407*t - 9161852. Determine a(-171).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 905*s - 13602 + 2897 = 155 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2116233 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71273006 is divided by 10614.\nAnswer: 10610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/64 and 21\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 211970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2050*l**2 + 22*l + 524. Let r be x(-17). Round r to the nearest 1000.\nAnswer: -592000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -554, -557, -578, -629, -722?\n\"Answer: -2*a**3 + 3*a**2 + 2*a - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - j + 15 - 5, -i + 3*j = 0. Let z = -26 - -45. What is the remainder when 4\/6*(51 + i) is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2565 divided by -138?\nAnswer: -855\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 784 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2067.597005 rounded to the nearest 10?\nAnswer: -2070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -75*p - 1189. Let l(r) = -121*r - 1783. Calculate -5*l(v) + 8*x(v).\nAnswer: 5*v - 597","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-91)\/(6825\/90)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66597 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1620)*1*1)**2.\nAnswer: -180*sqrt(5) + 1645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 188.345 and 2.\nAnswer: 376.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 14*w + 25396. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 85 - w - 2*w**2 - 49 - 13*w - 7*w**2 + w**3. Let d be p(10). What is the third biggest value in -2\/7, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 3*v - 54. Solve -v*o - 2 = 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 35 + y**3 - 66 + y**2 - y + 0*y**2 + 30. Give v(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264702*n + 529403*n - 264702*n + 1.\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 4, 15, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23696113 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**2 - 20*s**2 + 3*s + 7*s**2)*(2*s + 2 - 2).\nAnswer: -12*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -8 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 137?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/(13\/65)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -31. Suppose -4*m = -3*x - 519, g*x + x + 516 = 4*m. Is m 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 -248816*a**2 - 22*a + 27097484?\nAnswer: -497632*a - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + f + 2*u - 3 = 0, 0 = -2*f - u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/168609 and 1\/36456.\nAnswer: 1348872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 107909 = -15*b - c, c = -4*b + 215821. List the prime factors of b.\nAnswer: 2, 7, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -1055129, -4, -1 in descending order.\nAnswer: 3, -1, -4, -8, -1055129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 minus 181?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-65)\/(-42) + -2 - (-4)\/24. Let q be (-22)\/30 + 2\/5. What is the smallest value in q, o, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*t = 70, -2*v - 2*t + 42 = -0*v. Calculate the smallest common multiple of v and 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036036 rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c**2 + 5*c - 5. Let l be r(-4). Let m = 250 - l. List the prime factors of m.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + c**3 - 2*c**2 - c**3)*(-2 + 3 - 9)*(-3 + 0 + 4).\nAnswer: 8*c**3 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 < -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*h + 4*s, 2*s + 2 - 1 = -h. Let k(m) = 6*m**2 + 5*m - 4. Is k(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/112 and 39\/44?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 - 16415465.\nAnswer: -16415430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 5 (c) -4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**5\/60 + 29*k**4\/24 + 5*k**3 + 113*k**2\/2 - 26*k - 1. Let w(f) be the first derivative of d(f). Factor w(i).\nAnswer: -(i - 30)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165984 + -47345. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.068 - 0.368. Let k be 10\/(-4)*248\/(-155). Put z, k, -1\/4 in decreasing order.\nAnswer: k, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - (-9 + 7 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m\/(((m\/((m\/(m**(-3)\/m))\/m)*m)\/m)\/m)*m))\/m)**(21\/2))**8 assuming m is positive.\nAnswer: m**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - 0.09. Which is the closest to 1\/2? (a) q (b) 1\/10 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8179048 is divided by 340.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoeeeeeitaaeiaeemee. What is prob of picking 1 e and 1 t?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 5, 3\/4, 3\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i + 2*u, i - u - 22 = 4*u. Solve 12 = -2*t + 4*v, 5*t + 3*v - 14 = i*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 1312192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1349989 - 2.4?\nAnswer: -1349991.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2540690 is divided by 4270.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438869158 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.4178km in meters?\nAnswer: 461417.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a. Let l be z(2). Let h = 8 + l. Suppose 5*g - 5*b - 131 + 46 = 0, h = 2*g - 3*b - 37. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.106 + 11.406. Let v = y + -10.8. What is the smallest value in 2\/13, -2, -0.5, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33606.8 millilitres to litres.\nAnswer: 33.6068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2957, -5913, -8869, -11825, -14781?\n\"Answer: -2956*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.3. Let o = -0.3 + 0.3. Let w = -1 - o. What is the nearest to m in -0.1, w, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171\/88 - -17\/8. Let f(q) = -2*q**2 - 4*q - 2. Let z be f(-2). What is the nearest to z in -1, 2\/7, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -688 divided by -172.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 36*w**3 + 60*w**2 - 28*w.\nAnswer: 4*w*(w - 7)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f\/(f\/(f**(-3)\/f))))\/(f\/(f\/(f*f**(-13)))) assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 131.504+0.2\nAnswer: 131.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (14 + -9 - (10 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*i + i. Let c(n) = -n**2 - 6*n - 3. Let v be c(i). Suppose r + 3*p = 2*r - 2, -v = -r - 3*p. Solve -r = 2*d + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iriuiryiiiiriuiirrui. What is prob of picking 1 u, 1 i, and 1 y?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24148 is divided by 5891.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - -8)\/(7\/8 - 1). Let d(q) = 2*q**3 - 6*q**2 - 2*q + 21. What are the prime factors of d(s)?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121103140*b**3 - 11855*b + 440 wrt b.\nAnswer: 726618840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(2*a + 0 + 0) - 3*a + 4*a - 2*a - a + 0 - a - 1.\nAnswer: -5*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 3*i + 3*i)*(-2*i**2 + i**2 + 3*i**2) + (i - 4*i**3 - i)*(0 + 7 - 2) to the form j*i**3 + q*i + s + a*i**2 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 1948.85?\nAnswer: 779.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/1 + 2)\/1. Suppose -20 = -5*w + 5*k, 0*w + 5*w = -5*k + 20. What is the greatest common factor of w and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t - 30*t + 45*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 3*i**7\/1120 + 13*i**6\/240 + i**5\/10 + 26*i**3\/3 + 7*i**2 + 1. Let z(k) be the first derivative of a(k). Factor z(f).\nAnswer: 3*f*(f + 8)*(3*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35684 or -35685?\nAnswer: -35684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2662) + (sqrt(2662) - (sqrt(2662) - sqrt(2662)*-2 - sqrt(2662)))*-1)\/(sqrt(18)\/sqrt(9)*-4*4))**2 + 3.\nAnswer: 1843\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h - 135 = -5*h. Calculate the remainder when 71 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -132f?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2636 + -2448. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-16) - (34103\/1527 + (-1)\/(-24)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -28. Solve t = -0*u - 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - g + 4669 + 4357.\nAnswer: -g + 9026","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 283071437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Let c(g) = -g**2 - g + 1. Let a(m) = 27*m**2 + 2*m - 4. Let s(i) = 5*i**2. Let k(f) = a(f) - 5*s(f). What is q*c(n) + k(n)?\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/6*(-6)\/4. Let q = -69 - -109. Suppose 8*m - q = w*m. Round m to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 - 211408115321*h + 211408115321*h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + (1443 - 5) - 4?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69410349 * 5\nAnswer: -347051745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42222a3 (base 11) to base 6.\nAnswer: -423251233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -35, 5, -11, 8, 3, 0 in increasing order.\nAnswer: -35, -11, -8, 0, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**4 + k**3 - 11*k**2 - 7*k - 6. Let h(f) = f**4 - 2*f**2 - f - 1. Let g(p) = 6*h(p) - i(p). What is a in g(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 283.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 293?\nAnswer: -4\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 21 = -6. Suppose 1 = -f + q. Suppose 0*v**f + 3*v**2 + 3*v - 4*v**3 + v**3 - 3*v**4 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 9*a = 8. Suppose -q = c + a, 0 = 5*c - 2*q + 6*q + 5. Solve 2*s = -4*l + c + 3, l = -2*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 11928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - (-19 - -36)) + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 242*d**2. Let t(l) = -2*l**2. What is m(t(n))?\nAnswer: 968*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24491108 to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*f - 5*f**3 - 10*f**3 + 2 + 17*f**3 to the form z*f**3 + s + q*f + w*f**2 and give q.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 34 = 4*d + 5*s, -2*d + 16 = 2*s. Suppose -6 = -4*q + d. Solve -q*o - 11 = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + -7.06. Let a = n - -3. Let j = -13 - -8. Sort -0.1, j, a in decreasing order.\nAnswer: -0.1, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302341 (base 6) to base 10.\nAnswer: 23893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294737, 294721, 294701, 294677, 294649?\nAnswer: 294617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*i = -i. Let m(x) be the third derivative of -3*x**2 - 1\/12*x**3 + 0 + i*x + 1\/240*x**5 - 1\/96*x**4. Factor m(a).\nAnswer: (a - 2)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 3*d**2 - d - 4. Determine x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -102110?\nAnswer: 102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -48*v**3 + 432*v**2 - 10*v + 90. Let u be m(9). Which is the smallest value? (a) u (b) 20 (c) -6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 129, 124, 97, 42?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322 and 29992?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2758 and 9.\nAnswer: 24822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d*(d*d\/(d**(-2\/41)*d))\/d*d**(-1\/7)*d*(d*d\/(d\/(d\/d**(2\/11)))*d)**(-22) assuming d is positive.\nAnswer: d**(-16673\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 25 = 37 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -155*h**3 + 110*h**2 + 100*h. Let p(f) = 17*f**3 - 12*f**2 - 11*f. Let r(x) = -55*p(x) - 6*u(x). Factor r(y).\nAnswer: -5*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/8)\/((-8)\/(-32)). Let r be 39\/13 + w\/4. Suppose -2*k = 2*k + 4. What is the smallest value in -0.2, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -280)*(-101 - 9664\/(-96))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, h: 1, m: 4, s: 10}. Give prob of picking 1 h, 1 w, and 1 m.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + 4*t - 26009*t**2 + 3*t**3 + 4*t**3 - 13636*t**2.\nAnswer: 7*t**3 - 39645*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Let l = 3 - h. Let s = -0.1 - -0.2. Which is the closest to 2\/7? (a) s (b) l (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**3 + n**3 - 3*n**3)*(5*n - 4385 + 4364 - 42*n + 3*n) to j*n**3 + b*n**2 + d*n**4 + w + l*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8819 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2022 + 3844. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30364401.\nAnswer: 3, 521, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78, -303, -678, -1203, -1878?\n\"Answer: -75*v**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 7*n - 1. What is the remainder when c(6) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 - 3*(-6)\/9. Let j = 57 + -55. Solve -p = 2*z + l*z - 11, j*z - 14 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14370 is divided by 867?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**3 - f**2 - 5*f + 8. Let b be n(4). Let o = -203 + b. Calculate the remainder when o is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**4\/24 + 22*m**3\/3 - 6638*m**2. Let r(i) = 20*i**2. Give r(l(s)).\nAnswer: 20*s**2 + 1760*s + 38720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.12. Let b = 4301.080825 - 4301. Let y = u + b. Round y to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-64)*86 - 6\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*s**2\/4 - 169041*s\/2 + 112695\/4.\nAnswer: -3*(s + 37565)*(3*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/48303934 and -123\/10.\nAnswer: 241519670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**3 + 1 + 0*m**3 + 0*m**3 - 2*m**3 as j*m**3 + l + d*m + p*m**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-2 - -3)*-1. Suppose -2*q + 57 = 5*s, -x*q - q = 2*s - 132. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48835\/25 + 2 + (-9)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 24 = 98. Suppose 2*o + 5*i = w + 87, 3*o - 235 = -i. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2275799820 and 1865?\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31153 = -v + 5*t, -4*t + 1 + 7 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 259955063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**4 + z**3 - 28*z**2 - 25*z. Let i(f) = -f**4 + f**3 - f. Let j(s) = -i(s) + o(s). Factor j(g).\nAnswer: 4*g*(g - 3)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3486.17666 + 3486. Round d to 3 decimal places.\nAnswer: -0.177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -8009, -0.5, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 0, 235 in ascending order.\nAnswer: -8, -3, 0, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvvv when four letters picked without replacement from kvvkkvkb.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 17 + 3 = 2*h, 5*h + 4*b = 20. Suppose g + 2*g + 6 = h. Let m = g + 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636520517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 - 6*d + 10. Calculate y(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - y - 32. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 778180939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 311\/30 + 3\/(-18) - (1230\/41 + -21)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*d**2 + 2*d - 158*d**2 - 2*d.\nAnswer: -76*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 1:52 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2146890911.\nAnswer: 11, 195171901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12 = h - 2*f, f = -5*h + 24. Suppose -2*u + h*y = -364, 0*y + 559 = 3*u - y. Let t = u - 125. Round t to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660955 is divided by 633?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 less than -0.35?\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 + 4*y + 23\/6.\nAnswer: (y + 1)*(y + 23)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-36) + 1\/6. Let y(f) = -f**2 - f. Let n(c) = c**2 + c. Suppose 4*d + 5*a + 71 = 6*d, 4*d - 166 = 2*a. Let q = -40 + d. What is q*y(u) + x*n(u)?\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 - 1204*p**4 + 1226*p**3 + 12052*p**2 - 4872*p - 28944 = 0. What is p?\nAnswer: -603, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/2414144 and -29\/7.\nAnswer: 16899008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 626\/(-18) + 76\/(-342). Let b(m) = -108*m + 157. Is b(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5252 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5197550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - y**2. Let w be g(-1). Suppose -2*x - 12 = -w*x + 2*h, 3*h + 11 = -2*x. Let c be x\/(-5) - (-16)\/(-40). Are -2\/7 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 12 = 3*n, -2*r - 8*n = -10*n + 4. Which is the second biggest value? (a) -0.4 (b) r (c) 56 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4, -3*l - 3*d - 1159 = -2*d. Let x = 795 + l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 9:32 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (314*q + 344*q - 126*q)*(-q**2 - 3*q + 0*q - 3*q) in the form u*q + r*q**2 + f*q**3 + s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -2*z + 35, -43 = -702729*j + 702727*j - 3*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(882))\/(-5*sqrt(30)\/sqrt(5)).\nAnswer: -28*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 + 212*l**2 + 214*l = 0.\nAnswer: -1, 0, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + sqrt(102)\/sqrt(6).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(-8)\/(-252))\/((-120)\/(-5460))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 69 = -t - 4*t, 4*t = 4*j - 68. Let h be (-9 + -1)*(-2)\/4. Suppose h*n - 90 = 120. What is the remainder when n is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.443 + 0.127. Let s = 0.57092 - t. What is s rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 - 2)*(-19*j**2 - 30*j + 30*j) in the form u + b*j**2 + r*j and give b.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 + 8*a**2 - 8*a + 18. Let z(w) = w**3 + w + 1. Let u(q) = d(q) - z(q). Is 17 a factor of u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let b(s) = 1017*s**2 - 7782. Determine b(f(t)).\nAnswer: 1017*t**2 - 7782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*s + 91, -3*x + 54 = -13*s + 14*s. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - i**2 + 7*i**2 - 8*i**2 - i**3 - i**2 - 2*i**4 to the form t*i**3 + k*i**2 + y*i**4 + v*i + p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**3 + d**2\/2 - 16*d. Does 4 divide y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1401 by -19.\nAnswer: 1401\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - ((0 - 4) + 255 + -244)) + 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/13 in -5, -23, 2\/5, 3\/4, 5, 1\/104?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-45)\/(-2))\/(6\/24). What is the remainder when -10*(h\/(-4))\/3 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18*x)\/(x\/(x\/(x*x**(6\/7)))) assuming x is positive.\nAnswer: x**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -5. Let t = -48 + 44.96. Let j = -0.04 - t. Put j, r, 2 in increasing order.\nAnswer: r, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87809 is divided by 757.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/932 and -73\/1550848?\nAnswer: 1550848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9642*n - 9875. Let c(i) = -48212*i - 49372. Let u(y) = -2*c(y) + 11*o(y). Find the first derivative of u(a) wrt a.\nAnswer: -9638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3657594 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -103.509 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 6.63?\nAnswer: -0.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-60)*-3)\/((-64096)\/10680 + 6). What is the greatest common factor of 96 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4508, 9083, 13666, 18263, 22880, 27523, 32198, 36911?\n\"Answer: a**3 - 2*a**2 + 4574*a - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6*(-5)\/10)\/(2\/6). Let r = -4 - -1. Let l = r - a. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - z - 81 = 177, -5*h + 634 = 3*z. Suppose 0*g + h = 4*g. What is the smallest common multiple of 10 and g?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2073, 4, 1, 5, 3, -6 in decreasing order.\nAnswer: 2073, 5, 4, 3, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*y - 2170 = -64 + 4151 + 9621 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 11 + -14 + (0 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*v + 25 = -0, 4*j = 5*v + 65. Let t be -1*(-96)\/20 + 2\/j. Suppose -t*c - 26 = -6*c. Calculate the remainder when 152 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*0.03.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008113432 rounded to 4 dps?\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -53)\/(2\/(-4)). Let y be 72\/(-30)*(3 + (-38)\/6). Suppose 0 = -4*j + 8, -y - 6 = -k - 3*j. What is the greatest common divisor of w and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 + 1)*(3*w + 0*w - w) - 82*w - 194*w + 13*w)*(-2*w - 2 + 2) in the form s*w**2 + u + o*w and give s.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*o - 3*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 + 3*t**2 - 4 - t + 2*t + 3*t + 3*t**3. Let s = 54 - 45. Suppose 6*r - s = 9. What is y(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + 6*l - 2*l + 26 + 5*l**2 + 7*l. Let r be x(-8). Suppose r*a + 1178 = 4*n, -4*n + 3*n + 290 = a. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -111\/14 (b) 0.64 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 332132121122?\nAnswer: -332132121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 25*b + 2. Let h(y) = -38*y - 3. Give 5*h(s) + 8*j(s).\nAnswer: 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -171, 2.\nAnswer: -171, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {a: 1, h: 1, q: 2, c: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 - 12*z - 31. Is 29 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 13*w**2 - 19*w - 9. Let s be g(-14). Suppose -5*x - s = -j, -5*j - 3*x = 58 - 223. Which is smaller: 37 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5222*j**3 + 29055*j - 58114*j + 29059*j + 2 - 1214*j**2 wrt j?\nAnswer: -31332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1344724227 + -2?\nAnswer: -1344724231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13103 - -13103.4. Put 2.8, 1, l in increasing order.\nAnswer: l, 1, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 9 - 2 - 1)*(105*a**4 - 70*a**4 + 406*a**4).\nAnswer: 441*a**5 + 2646*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-124 + (114 - 60)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 17, -7, -2 in decreasing order.\nAnswer: 17, -2, -7, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 3. Let g(j) = j**2 - 2. Determine -2*g(c) + 3*m(c).\nAnswer: c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43086 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) 2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and -28666857891750?\nAnswer: 28666857891741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -149. Suppose 2*k = 2 + 2. Suppose 4*f - 64 - 37 = -v, -c = -4*f - k*v. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130.0000099 + -130. What is v rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55571?\nAnswer: 61, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 times -18.9066?\nAnswer: -21648.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p**2 - p. Let i be y(-1). Let d(h) = -h**3 - 6*h**2 - 12. Let f be d(i). What are the prime factors of f\/8*-30*(-3)\/(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865360415?\nAnswer: 5, 19, 53, 171869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204100226?\nAnswer: 2, 11, 47, 197389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3847000 to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minus -7251.99?\nAnswer: 7304.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -191 - -191. Suppose q = -2*c - 3*c - 6675000. Round c to the nearest ten thousand.\nAnswer: -1340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 0.3?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -4.\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n + 1. Let z(g) = g + 2 + 3 - 3 - 3. Let l be z(-6). Is a(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, n: 2}. Give prob of sequence rrr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18844 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**4\/11 - 18*o**3\/11 - 8*o**2\/11 + 72*o\/11 = 0.\nAnswer: -2, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2632*g**2 + 2698*g**2 - 922 - 6108*g**2 wrt g?\nAnswer: -1556*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014130646 to 4 decimal places.\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p - 1. Let h(a) = -11*a - 5. Let w(x) = -6*h(x) + 34*z(x). Calculate w(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*n + 9, 5*n = 4*b - 6 + 20. Suppose -j + 9 = 4*h - 3*h, -n*j + h = -6. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**29)\/h**(-3\/17) assuming h is positive.\nAnswer: h**(513\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 711*q**3 + 929 wrt q?\nAnswer: 2133*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*u**4 - 20*u**4 + 24*u**4 + (-u**3 + 2*u - 2*u)*(-24*u + 6 - 8 - 12*u).\nAnswer: 84*u**4 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182506?\nAnswer: 2, 91253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*t - 46*t + 87*t + 4*c = -106, -9*t = 10*t - 3*c + 1089 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(1 + 2 - 2)*(r + 7 - 4*r - 5).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/20 + 1\/20. Sort -2, i, -5 in ascending order.\nAnswer: -5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*c + 172 + 6 = 0. Solve 5*p - c*j = 0, -3*j - 2*j + 25 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -998, -19, -33 in descending order.\nAnswer: -19, -33, -998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1867622599, 1867622598, 1867622597, 1867622596, 1867622595, 1867622594?\n\"Answer: -s + 1867622600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g, 0 = -l - 4*l - 5*g + 10. Solve 3 = h - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*u - 2*k, 4 + 1 = k. Suppose 2*s = -2*t - 24, -2*s - u*t + 4*t - 8 = 0. Let v(j) = j + 6. Let n be v(s). Sort 2, n, 1 in descending order.\nAnswer: 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -278\/5 and -0.35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2 - 137314*k + 2060160 = 0.\nAnswer: -68672, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03736121 rounded to 4 dps?\nAnswer: -0.0374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-26)\/(-6) + -2)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 74 - 4 = 0. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + l + l)*(29113 - 14741 - 14585) to the form b + m*l and give m.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7482238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 - (1 + 28 - 26).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497450 is divided by 248718?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 3*x + 3. Suppose b - 3*b - 2*h = -6, 3*b = 3*h - 3. Let p(z) = z - 1. What is b*q(g) + 3*p(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 182\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9088*o - 69. What is the hundreds digit of y(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 4341.\nAnswer: 43410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010110111 (base 2) in base 3?\nAnswer: 100101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/(-3) - 2\/3. Suppose -6 = g + v*w, 4*g - w = w + 20. Suppose -g*n + 23 = -5*c, -c + 0 = n - 17. Calculate the remainder when 33 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r - 15. Let o be a(10). Suppose 3*l + 4*i = -o, 5*l + 36 = -i - 2*i. Let k(u) = -10*u - 17. List the prime factors of k(l).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/81*3*((-51282)\/44)\/(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 9*k**2 + 16*k + 66. Let g be w(-8). Suppose -3*p + 20 = -g*p. What is the lowest common multiple of 32 and p?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72630542 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2212 is divided by 441.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 280 or 1?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (106\/(-2067))\/(2*(-16)\/(-72)*-3*1)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.6 - 1.6. Let r = p + -6.1. Which is the nearest to r? (a) -0.3 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**5\/30 - 13*w**4\/3 + 676*w**3\/3 + 57*w**2\/2 - 20*w. Let p(v) be the first derivative of h(v). Factor p(k).\nAnswer: 2*(k - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t - 208. Let n be z(-40). What is the common denominator of n\/((-720)\/(-725)) + 7 and -91\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 172472 - 18472. Let v = l + 14810. Round v to the nearest one hundred.\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 549\/305*2\/(-6)*10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140230, 140290, 140350?\nAnswer: 140410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3 = -2*r, 2*r - 9*g + 2 = -7*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -20)\/2 - 3. Suppose l = -2*w + 14. Suppose -89 = -w*d + 507. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412727 to the power of 1\/2, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 3*y - 2*y. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 119904*r**2 + 40*r + 3. Let x(i) = -2*i. Calculate w(x(v)).\nAnswer: 479616*v**2 - 80*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118977.06 months to decades.\nAnswer: 991.4755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 0 (c) -4 (d) 82 (e) -0.3 (f) 460 (g) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100102210 + 0?\nAnswer: 100102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + g**2 - 10*g - 1. Let f(w) = -w**3 + 11*w + 1. Let m(z) = -4*f(z) - 5*o(z). Let y be m(-6). Solve k - a = -4, 4*a - y = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*b - 22 = 0, 10*y - 5*y - 154 = -2*b. Calculate the greatest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-153) - (-60)\/(-189).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 13*r**2 - 13*r + 12. Let n be a(-12). Suppose 6*g + n = 7*g. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*l**2 + 5*g**2*l - 430*g**2 - 2*g*l**2 - 4*g*l + 374*l wrt g?\nAnswer: 12*g*l**2 + 10*l - 860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 + 21 - 3*l**2 + l**3 - 7*l - 20 + 6*l as u*l**2 + h + v*l**4 + p*l + x*l**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 12 - 2 = 0. Let k = 0 - g. Let t(c) = 3*c - 2*c - c**3 + 0*c - c**k. Let j(v) = -v**3 + v**2 - 2*v - 2. Calculate -j(b) - t(b).\nAnswer: 2*b**3 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 258088745 + -3?\nAnswer: 258088742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*(-29145)\/3618 + (-13)\/156.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = v + 22. Suppose v*n - 266 = 4*j, -316 = -5*n + 2*j + 317. What is the greatest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -3*z**3\/2 - 7*z**2\/2 + 16*z - 1. Let p(a) = -5*a - 4. Give 3*d(r) - 5*p(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w**2 - 16*w**2 + 0 - 14*w**3 + 0*w**2 - 2*w + 15*w**3 + 4. Calculate u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let a(m) = m**3 + 15*m**2 - 17*m + 16. Let o be a(-16). Suppose -o + 20 = -l*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25096, -1, -4, 1, 5, -16 in descending order.\nAnswer: 25096, 5, 1, -1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6247, 5999, 5789, 5623, 5507, 5447, 5449, 5519?\n\"Answer: i**3 + 13*i**2 - 294*i + 6527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3793489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 62*y**2 + 759*y - 11. Let f(g) = 69*g**2 + 758*g - 12. Determine -9*f(u) + 10*r(u).\nAnswer: -u**2 + 768*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-12)\/(-30)) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-2))\/((-595)\/68)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-385)\/7*(-232)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10195, 10140, 10089, 10042, 9999?\n\"Answer: 2*r**2 - 61*r + 10254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1652939 - 765446. Suppose -5*o + 1050002 = -2*q, 0 = 5*o + 4*q - 162503 - t. What is o rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 6*k + 3*k)*(2 - 5 + 4) + 2*k - 4*k + 3*k + (0 + 2 + 1)*(2 - 3*k - 2).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -1*sqrt(136)*-2 + sqrt(136))\/(-6*(sqrt(8)*-1 - sqrt(8)) - sqrt(8))*-1 - (sqrt(153)*2*5)\/(sqrt(9)*-2*-1).\nAnswer: -59*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2440624, -4882124, -7323624, -9765124?\n\"Answer: -2441500*q + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)\/s**6*(s\/(s*((((s**(-2)\/s)\/s*s)\/s)\/s)\/s))\/s**6)**(-8) assuming s is positive.\nAnswer: s**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*r + 557*r + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-11*s - 1 + 231*s**2 - 750*s**2 + 277*s**2).\nAnswer: 242*s**2 + 11*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2*j**6\/3 + 16*j**5\/5 - 5*j**4 + 84. Determine o so that s(o) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - d**2 + 6*d + 6. Let w(l) = l + 1. Give -6*w(y) + z(y).\nAnswer: 3*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33.4952 and -194871.63.\nAnswer: -194838.1348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+0.3159317\nAnswer: 0.4159317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*-3*3. Let v(y) = -6*y - 1. Let r(s) = -5*s - 2. Let c(i) = -3*r(i) + 2*v(i). Calculate c(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -6\/5, -0.7, -1.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 11 - 5 + (4 + 2 - 1)*(1 + 0 + 0))*(-4 + 3 + 2)*(5 - 5 + 2*h) as q + i*h and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eqpeq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5640 by -1880.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 3*m**2 + 6*m**2)*(4 - 2 - 4)*(0*m + m + m)*(-680 + 207 - 142)*(-3 + 5 - 4)*(4 + 0 - 6).\nAnswer: 9840*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 46422207 and 46422206 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 342*y**4 + 36*y**3 + 2*y**2 - 3*y - 4 + 9 + 345*y**4 as h*y + x*y**4 + f*y**2 + p + b*y**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*w**2 - 5*w**2 + 28*w**2)*(4*w + 2*w - 4*w) + 2*w**3 - 2 + 2 + (-2*w**2 - 3*w + 3*w)*(-w + 4*w - 4*w).\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 882384237 divided by -3?\nAnswer: -294128079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 2, e: 1, f: 1}. Give prob of picking 2 s and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 16 = -4. Suppose -5*l = 15, -2*l = -2*f + h*l + 111. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-750 - -788) + -6 + 44 + -8?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 371 + 349 = 0. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c + 2. Let f(i) = 7*i + 2. Let g = -889 + 500. Let b = g - -384. What is b*f(w) + 4*r(w)?\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v. Let s(d) = -39*d. Let y(n) = 30*o(n) - 6*s(n). Let p(a) = 11*a. Calculate -5*p(q) - 11*y(q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmff when four letters picked without replacement from dfddfdmffdmdddddmd.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 1013432?\nAnswer: -1013420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + (-7 - (3 + 4 + -5))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-122)\/(-8))\/((-1)\/(-4)). Suppose i = m - 19. Suppose 3*z + 29 = 2*v, v + 5*z - 21 = -0*v. Calculate the greatest common factor of m and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a factor of 51964785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58609.\nAnswer: 29, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.407 + 0.5.\nAnswer: 3.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 317981.7 rounded to the nearest 1000?\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 724243139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12504 = 2*u, 1390 + 3605 = 2*q - 3*u. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 32848 = 5*f, 0 = 4*f - 3*k - 13488 - 12758. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -696 divided by 87\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(6)*-2*-3.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 131*b**7\/210 - b**5\/30 + 23*b**3\/2 - 144*b**2. Find the third derivative of d(u) wrt u.\nAnswer: 3144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 48*m = 45*m + 465, 0 = -2*p + 4*m + 238. What is the remainder when p is divided by (-2)\/6 - (-121)\/3?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17290498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -773*w = -294812 - 391612. Calculate the highest common divisor of w and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2583\/(-35) + (2\/10)\/(-1). Let c = f - -81. Suppose 2*w - c*w - 10 = 0. Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7*i - 72 = 0. Suppose i - 78 = -2*d. Suppose 3*q + 38 = 5*u, -3*u + u + q = -16. What is the greatest common factor of u and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2, -0.1, 6\/2473, 0, 152, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*b + 30*b + 47*b.\nAnswer: 166*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139974 and 1230?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 211*v + 5*v**3 + 211*v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)*(2 - 1). List the prime factors of v\/(-4) - (-68)\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40, 272, 668, 1228?\n\"Answer: 82*b**2 - 14*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-4) - 3)\/(-1). Suppose -y + j = -9. Let i be (-3)\/63 - y\/42. Which is the smallest value? (a) i (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = s - 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47024, 49199, 52826, 57905, 64436, 72419?\nAnswer: 81854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 11:48 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12582 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/13, 0.1, 1\/180, 5.\nAnswer: -3, -2\/13, 1\/180, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 970 and 27070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 2*a**3\/7 - 121*a**2\/7 + 80*a\/7 - 224. Factor u(h).\nAnswer: 2*(h - 40)*(3*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 99*d = 464 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.27647ns?\nAnswer: 0.00000627647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - 2*q**5 - 5*q**5 + (q**3 + q**3 - 4*q**3)*(0*q**2 + q**2 + 0*q**2) + (2*q**3 - 4*q**2 + 4*q**2)*(4*q**2 + 2 - 2) - 6*q**5 + 0*q**5 + 0*q**5.\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -846 (base 13) to base 10\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -26. Let u be 120\/16*l\/9. Suppose 0 = 26*j - 31*j + u. Let i(t) = -t**2. Calculate i(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2074 - -0.153472037.\nAnswer: -2073.846527963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -315*h**2 - 14*h - 1. Let v(d) = d**2 + 4*d - 2. Let f(a) = -4*v(a) + x(a). What is the second derivative of f(q) wrt q?\nAnswer: -638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 7 - 13 + 22*w**2 as f*w**2 + m + y*w and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1.221 (b) -48 (c) -3 (d) 1 (e) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1911*h - 1849*h - 2088098. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151617135?\nAnswer: 5, 4721, 48787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 237 = 44*t + 40*t - 83*t, 2*t - 15 = o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5070376*h**3 + 27*h**2 + 80282 wrt h?\nAnswer: 30422256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 10, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + -132. What is the third derivative of 60*g**2 + 12*g**m + 4152*g**6 + 25*g**3 - 4153*g**6 wrt g?\nAnswer: -120*g**3 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 153*z - 157*z - 4. List the prime factors of (20\/(-15) - -1)\/(z\/1125).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffgf when four letters picked without replacement from {g: 12, f: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -241, -248, -259, -274?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5 + 3 + 26 + -8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1423663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-4)\/(-160)*30) - (-2 - -5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*b + 3. Suppose -13 = -2*j + 5. Suppose -2*r + 5*z = r - 34, 2*r + b*z = -j. Which is greater: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 388*h**2. Let p(m) = -2*m. Give a(p(s)).\nAnswer: 1552*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21168*m**5 + 224*m**2 - m - 11?\nAnswer: 1270080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-18 - -1) + 37\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -v - 3*x + 4*x, v - 24 = 5*x. Suppose 10 = v*d - 13*d. Let u(l) = 2*l - 3. Calculate the smallest common multiple of d and u(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4841, 9696, 14537, 19358, 24153?\n\"Answer: -i**3 - i**2 + 4865*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/3 - (-1 + 0). Let h(p) be the second derivative of -p**3 - 37*p. Calculate h(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n - 1\/18*n**3 + 0 - 1\/36*n**4 + 1\/3*n**2. Factor d(h).\nAnswer: -(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35756 is divided by 967?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + sqrt(33)\/(sqrt(11) + sqrt(11)*-4)*-1)**2.\nAnswer: 4*sqrt(3)\/3 + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -5*l - 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 7213066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -55. Let z = 92 + o. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.4 and -2\/2173 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1142)\/8 + (-1)\/4. Let s = 77 + y. Find the common denominator of 15\/8 and (9\/15)\/(s\/(-15)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4.5. Let g = -3 + 3. Which is the second smallest value? (a) g (b) 1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Let l = 4\/47 - 130\/423. Let n(x) = -2*x**2 + 17*x - 18. Let f be n(7). Which is the nearest to -0.2? (a) v (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*x - 70*x = -2241 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 2:36 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(363)*-3 + sqrt(363) + sqrt(363))*3)\/sqrt(11))\/(sqrt(44)*-4 - (sqrt(99)*1 + sqrt(99))) + -1).\nAnswer: -2 + 3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9402, -9401, -9400, -9399?\n\"Answer: n - 9403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sccxxksrcckcskkk. Give prob of picking 1 x and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(-1 + sqrt(108)) + (-2 + 0 + sqrt(108) + sqrt(108) + -3)**2.\nAnswer: -144*sqrt(3) + 458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + 1.2. Let n = -5.857 + 12.857. Let g = -0.3 + 0.2. Which is the second smallest value? (a) -4 (b) n (c) g (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-276)\/(-2346) + 82\/(-119)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 384188923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*l**3 - 98*l**2 + 7*l - 325 wrt l.\nAnswer: -276*l - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 26, -1, -7, -4 in decreasing order.\nAnswer: 26, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 254 - -30312?\nAnswer: 31010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsssg. Give prob of picking 2 s and 1 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, i: 3, a: 6}. What is prob of sequence iaaa?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -8711 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -i + 632, 5*i = 5*d + 4093 - 993. Let x = i + -591. What is the highest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 + -137?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r*r**(2\/31))\/((r*r**(-2\/23)\/r)\/(r\/r**0*r)) assuming r is positive.\nAnswer: r**(6028\/2139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -209 + 5?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 3*r**5 + r**5 + (0*r**3 + 2*r**3 - 3*r**3)*(-5*r**2 + r**2 + 2*r**2) + 852*r**2 - 38*r**5 - 852*r**2.\nAnswer: -34*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3826 + 3845. Solve v - 2*v + y = 5, 2*v - 5*y = -p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -348*v + 334*v. Calculate the least common multiple of v and 320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 8:30 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 0.9 (b) -0.05 (c) -9 (d) 2\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - p + 2. Let u be h(-2). Let y = -9133\/408 - -7\/136. Find the common denominator of (u\/(-10))\/(21\/(-135)) and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 11*v + 17*v + 3*v**3.\nAnswer: 3*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-5)*((-116)\/(-24) + -4). Let k be 11\/9 + -1 + 110\/(-90). Let z be (-1)\/3 - 10\/(-66). What is the nearest to j in z, -2\/15, k?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/7 + 11579*r**2\/7 - 34837424*r\/7 + 7560322240\/7 = 0.\nAnswer: 235, 5672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4 - o + 4 + 0 + 1. Let a(g) = 1. Let f be ((-30)\/12)\/(2\/(-8) - 1). Give f*y(p) - 5*a(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.95 - 0.05. Let l be (-6)\/(-9)*(-12)\/32. What is the closest to l in p, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*m + 1386 = 5*m, -3*u + 5*m + 1370 = 0. Let d = -458 + u. Put -4, 68, d in increasing order.\nAnswer: -4, d, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114447703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*k + 924*k - 1713*k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.466 + 0.034. Let l be (-5)\/28 - (-2)\/(-8). What is the nearest to 0.1 in l, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -23. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by -1?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (552730\/150)\/31 + (-2)\/(-15). What is the highest common divisor of 969 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24222200*k**3 - 380904*k**2 - 10*k - 2?\nAnswer: 145333200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -11) + 11 + 3 + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 70000 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*c - 12*c + 1281 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 2\/487 (c) -1\/8 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1937 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4551 is divided by 1263.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227 + -222. Suppose -19 = -2*i + r, -3*i + 4*r = -x*i + 14. What is the highest common divisor of 171 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -4\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -14. Let l(m) = 3*m**2 + 11*m - 20*m - 2*m**2 - 1 - 2. Is l(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1987*m**2 + 97*m**4 + 11 - 1990*m**2 - 164*m**4 to b*m**3 + q*m + p*m**4 + s*m**2 + f and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 7*d - 118. Let q be t(-15). Suppose f = -9*m + 4*m, 0 = 3*f + m. Let b(h) = 2*h + h - q*h + f*h. Let k(x) = -21*x. Give k(b(a)).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**2*q - 12*c**2 + 2*c*q + 49*c - 2761*q + 492 wrt c.\nAnswer: -16*c*q - 24*c + 2*q + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**2 + 93770896*z - 549561308540176 = 0.\nAnswer: 11721362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -38, -85, -150, -233, -334, -453?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.3, -3, -81, 1\/4 in decreasing order.\nAnswer: 0.3, 1\/4, -1\/2, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 1)*(-202)\/(-6)*1?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 331*b - 2261. What is y(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**3\/6 + 3*w**2\/2 - 277*w. Let l(m) = 3*m - 5. Let g be l(4). Give t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 7*k + 9. Suppose l = 6*l + 5. Let o = l + -5. Let p be h(o). Solve p = -2*r - 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6573, -13566, -20561, -27558, -34557?\n\"Answer: -l**2 - 6990*l + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-116)\/290)\/((-6)\/15). Suppose 3*s - 8*s = 2*f + 9, 1 = f - 3*s. Is f less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1042*o**2 - 3 + 4*o**3 + 1 + 1044*o**2 - 3 to k*o + s*o**3 + q*o**2 + b and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -128*i**2 + 23*i + 12. Let d(z) = 64*z**2 - 10*z - 5. Give -14*d(b) - 6*h(b).\nAnswer: -128*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -749303.43962067 - 0.09\nAnswer: -749303.52962067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1.09 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 153, -3, 0, -26 in decreasing order.\nAnswer: 153, 5, 0, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 12 - 12. Let f be 8\/14*21\/6. Let b(c) = -c + c + f*c. Calculate r(b(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 1. Let k = -139 - -140. Let h(f) = f**3 - 7*f**2 + 4. Determine k*h(i) - 4*v(i).\nAnswer: i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l**3 - l**2 + 2. Let r(x) = 17*x**3 - 2*x**2 + 3. What is -3*i(h) + 2*r(h)?\nAnswer: -17*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 413*q**2 + 2*q + 2. Let u be w(-2). Suppose 4*c + 1160 = -0*c. Let p = c + u. What is p rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}